-
1
-
-
0038042907
-
Exponential approximation for hitting times in mixing processes
-
Paper, electronic
-
Abadi, M. 2001. Exponential approximation for hitting times in mixing processes. Math. Phys. Electron. J., 7, Paper 2, (electronic).
-
(2001)
Math. Phys. Electron. J
, vol.2
-
-
Abadi, M.1
-
2
-
-
0013205409
-
Inequalities for the occurrence times of rare events in mixing processes. The state of the art
-
Cergy-Pontoise
-
Abadi, M. and Galves, A. 2001. Inequalities for the occurrence times of rare events in mixing processes. The state of the art. Markov Process. Related Fields, 7(1), 97-112. Inhomogeneous random systems (Cergy-Pontoise, 2000).
-
(2001)
Inhomogeneous Random Systems
, vol.7
, Issue.1
, pp. 97-112
-
-
Abadi, M.1
Galves, A.2
-
3
-
-
0007410253
-
The entropy of a derived automorphism
-
Abramov, L. M. 1959. The entropy of a derived automorphism. Dokl. Akad. Nauk SSSR, 128, 647-650.
-
(1959)
Dokl. Akad. Nauk SSSR
, vol.128
, pp. 647-650
-
-
Abramov, L.M.1
-
4
-
-
0002623552
-
Entropy of a skew product of mappings with invariant measure
-
Abramov, L. M. and Rokhlin, V. A. 1962. Entropy of a skew product of mappings with invariant measure. Vestnik Leningrad. Univ., 17(7), 5-13.
-
(1962)
Vestnik Leningrad. Univ
, vol.17
, Issue.7
, pp. 5-13
-
-
Abramov, L.M.1
Rokhlin, V.A.2
-
5
-
-
84968500701
-
Topological entropy
-
Adler, R. L., Konheim, A. G. and McAndrew, M. H. 1965. Topological entropy. Trans. Amer. Math. Soc., 114, 309-319.
-
(1965)
Trans. Amer. Math. Soc
, vol.114
, pp. 309-319
-
-
Adler, R.L.1
Konheim, A.G.2
Mc Andrew, M.H.3
-
6
-
-
0030304693
-
An algebraic approach to the kolmogorov-sinai entropy
-
Alicki, R., Andries, J., Fannes, M. and Tuyls, P. 1996. An algebraic approach to the Kolmogorov-Sinai entropy. Rev. Math. Phys., 8(2), 167-184.
-
(1996)
Rev. Math. Phys
, vol.8
, Issue.2
, pp. 167-184
-
-
Alicki, R.1
Ries, J.2
Fannes, M.3
Tuyls, P.4
-
7
-
-
0004126711
-
-
London Mathematical Society Monographs, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers]
-
Asimow, L. and Ellis, A. J. 1980. Convexity Theory and Its Applications in Functional Analysis. London Mathematical Society Monographs, vol. 16. London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers].
-
(1980)
Convexity Theory and Its Applications in Functional Analysis
, vol.16
-
-
Asimow, L.1
Ellis, A.J.2
-
8
-
-
0001336132
-
Three observations on linear algebra
-
Birkhoff, G. 1946. Three observations on linear algebra. Univ. Nac. Tucumaen. Revista A., 5, 147-151.
-
(1946)
Univ. Nac. Tucumaen. Revista A
, vol.5
, pp. 147-151
-
-
Birkhoff, G.1
-
9
-
-
0002754147
-
A disjointness theorem involving topological entropy
-
Blanchard, F. 1993. A disjointness theorem involving topological entropy. Bull. Soc. Math. France, 121(4), 465-478.
-
(1993)
Bull. Soc. Math. France
, vol.121
, Issue.4
, pp. 465-478
-
-
Blanchard, F.1
-
10
-
-
0035994712
-
Asymptotic pairs in positive-entropy systems
-
Blanchard, F., Host, B. and Ruette, S. 2002. Asymptotic pairs in positive-entropy systems. Ergodic Theory Dynam. Systems, 22(3), 671-686.
-
(2002)
Ergodic Theory Dynam. Systems
, vol.22
, Issue.3
, pp. 671-686
-
-
Blanchard, F.1
Host, B.2
Ruette, S.3
-
11
-
-
0010765078
-
Zero entropy factors of topological flows
-
Blanchard, F. and Lacroix, Y. 1993. Zero entropy factors of topological flows. Proc. Amer. Math. Soc., 119(3), 985-992.
-
(1993)
Proc. Amer. Math. Soc
, vol.119
, Issue.3
, pp. 985-992
-
-
Blanchard, F.1
Lacroix, Y.2
-
12
-
-
0000075267
-
U ber die beziehung dem zweiten haubtsatze der mechanischen warmetheorie und der wahrscheinlichkeitsrechnung respektive den satzen uber das warmegleichgewicht
-
Boltzmann, L. 1877. U ber die beziehung dem zweiten Haubtsatze der mechanischen Warmetheorie und der Wahrscheinlichkeitsrechnung respektive den Satzen uber das Warmegleichgewicht. Wiener Berichte, 76, 373-435.
-
(1877)
Wiener Berichte
, vol.76
, pp. 373-435
-
-
Boltzmann, L.1
-
13
-
-
84942990301
-
Entropyfor group endomorphisms and homogeneous spaces
-
Bowen, R. 1971. Entropy for group endomorphisms and homogeneous spaces. Trans. Amer. Math. Soc., 153, 401-414.
-
(1971)
Trans. Amer. Math. Soc
, vol.153
, pp. 401-414
-
-
Bowen, R.1
-
14
-
-
0344430376
-
Lowerentropyfactorsof sofic systems
-
Boyle, M. 1983. Lower entropy factors of sofic systems. Ergodic Theory Dynam. Systems, 3(4), 541-557.
-
(1983)
Ergodic Theory Dynam. Systems
, vol.3
, Issue.4
, pp. 541-557
-
-
Boyle, M.1
-
16
-
-
1842486728
-
The entropy theory of symbolic extensions
-
Boyle, M. and Downarowicz, T. 2004. The entropy theory of symbolic extensions. Invent. Math., 156(1), 119-161.
-
(2004)
Invent. Math
, vol.156
, Issue.1
, pp. 119-161
-
-
Boyle, M.1
Downarowicz, T.2
-
17
-
-
33748580382
-
Symbolic extension entropy: Cr examples, products and flows
-
Boyle, M. and Downarowicz, T. 2006. Symbolic extension entropy: Cr examples, products and flows. Discrete Contin. Dyn. Syst., 16(2), 329-341.
-
(2006)
Discrete Contin. Dyn. Syst
, vol.16
, Issue.2
, pp. 329-341
-
-
Boyle, M.1
Downarowicz, T.2
-
18
-
-
0036048137
-
Residual entropy, conditional entropy and subshift covers
-
Boyle, M., Fiebig, D. and Fiebig, U.-R. 2002. Residual entropy, conditional entropy and subshift covers. Forum Math., 14(5), 713-757.
-
(2002)
Forum Math
, vol.14
, Issue.5
, pp. 713-757
-
-
Boyle, M.1
Fiebig, D.2
Fiebig, U.-R.3
-
19
-
-
0001531440
-
The individual ergodic theorem of information theory
-
Breiman, L. 1957. The individual ergodic theorem of information theory. Ann. Math. Statist., 28, 809-811.
-
(1957)
Ann. Math. Statist
, vol.28
, pp. 809-811
-
-
Breiman, L.1
-
20
-
-
0002467622
-
On local entropy, in geometic dynamics (Rio de janeiro 1981)
-
Berlin: Springer-Verlag
-
Brin, M. and Katok, A. 1983. On local entropy, in Geometic Dynamics (Rio de Janeiro 1981). Springer Lecture Notes in Mathematics, vol. 1007. Berlin: Springer-Verlag, pp. 30-38.
-
(1983)
Springer Lecture Notes in Mathematics
, vol.1007
, pp. 30-38
-
-
Brin, M.1
Katok, A.2
-
21
-
-
34250499738
-
Asymptotic properties of expansive homeomorphisms
-
Bryant, B. F., and Walters, P. 1969. Asymptotic properties of expansive homeomorphisms. Math. Systems Theory, 3, 60-66.
-
(1969)
Math. Systems Theory
, vol.3
, pp. 60-66
-
-
Bryant, B.F.1
Walters, P.2
-
22
-
-
84926117034
-
C2 surface diffeomorphisms have symbolic extensions
-
Print
-
Burguet, D. C2 surface diffeomorphisms have symbolic extensions. Invent. Math. in print.
-
Invent. Math
-
-
Burguet, D.1
-
23
-
-
80052812928
-
Symbolic extensions for nonuniformly entropy expanding maps
-
Burguet, D. 2010. Symbolic extensions for nonuniformly entropy expanding maps. Colloq. Math., 121, 129-151.
-
(2010)
Colloq. Math
, vol.121
, pp. 129-151
-
-
Burguet, D.1
-
24
-
-
80052935266
-
Entropie et complexitee locale des systemes dynamiques diffeerentiables
-
Unpublished
-
Burguet, D. 2008. Entropie et complexitee locale des systemes dynamiques diffeerentiables. Doctoral Dissertation. Unpublished.
-
(2008)
Doctoral dissertation
-
-
Burguet, D.1
-
25
-
-
69849086665
-
A direct proof of the tail variational principle and its extension to maps
-
Burguet, D. 2009. A direct proof of the tail variational principle and its extension to maps. Ergodic Theory Dynam. Systems, 29(2), 357-369.
-
(2009)
Ergodic Theory Dynam. Systems
, vol.29
, Issue.2
, pp. 357-369
-
-
Burguet, D.1
-
26
-
-
77950228660
-
Examples of
-
Burguet, D. 2010. Examples of Crinterval map with large symbolic extension entropy. Discrete Contin. Dyn. Syst., 26(3), 873-899.
-
(2010)
Discrete Contin. Dyn. Syst
, vol.26
, Issue.3
, pp. 873-899
-
-
Burguet, D.1
-
27
-
-
84926082643
-
Orders of accumulation of entropy
-
Print
-
Burguet, D. and McGoff, K. Orders of accumulation of entropy. Fund. Math. in print.
-
Fund. Math
-
-
Burguet, D.1
Mc Goff, K.2
-
28
-
-
52649161571
-
Residuality of dynamical morphisms
-
84/85(, part 2), Dedicated to the memory of Anzelm Iwanik
-
Burton, R. M., Keane, M. S. and Serafin, J. 2000. Residuality of dynamical morphisms. Colloq. Math., 84/85(, part 2), 307-317. Dedicated to the memory of Anzelm Iwanik.
-
(2000)
Colloq. Math
, pp. 307-317
-
-
Burton, R.M.1
Keane, M.S.2
Serafin, J.3
-
29
-
-
0003284881
-
Intrinsic ergodicity of smooth interval maps
-
Buzzi, J. 1997. Intrinsic ergodicity of smooth interval maps. Israel J. Math., 100, 125-161.
-
(1997)
Israel J. Math
, vol.100
, pp. 125-161
-
-
Buzzi, J.1
-
30
-
-
0003739797
-
-
Paris: Bachelier. French title: Reflexions sur la puissance motrice du feu et sur les machines propres a deevelopper cette puissance
-
Carnot, S. 1824. Reflections on the Motive Power of Fire and on Machines Fitted to Develop that Power. Paris: Bachelier. French title: Reflexions sur la puissance motrice du feu et sur les machines propres a deevelopper cette puissance.
-
(1824)
Reflections on the Motive Power of Fire and on Machines Fitted to Develop that Power
-
-
Carnot, S.1
-
32
-
-
84926117325
-
-
Edited by J. Marsden, T. Lance and S. Gelbart. New York, Amsterdam: W. A. Benjamin, Inc
-
Choquet, G. 1969. Lectures on Analysis. Vol. II: Representation Theory. Edited by J. Marsden, T. Lance and S. Gelbart. New York, Amsterdam: W. A. Benjamin, Inc.
-
(1969)
Lectures on Analysis. Vol. II: Representation Theory
, vol.2
-
-
Choquet, G.1
-
33
-
-
0000931548
-
A note on the ergodic theorem of information theory
-
Chung, K. L. 1961. A note on the ergodic theorem of information theory. Ann. Math. Statist., 32, 612-614.
-
(1961)
Ann. Math. Statist
, vol.32
, pp. 612-614
-
-
Chung, K.L.1
-
34
-
-
0003642776
-
-
Cambridge: Cambridge University Press
-
Ciesielski, K. 1997. Set Theory for the Working Mathematician. London Mathematical Society Student Texts, vol. 39. Cambridge: Cambridge University Press.
-
(1997)
Set Theory for the Working Mathematician
, pp. 39
-
-
Ciesielski, K.1
-
35
-
-
84926106873
-
U ber die bewegende Kraft der Warme, Part I, Part II
-
9, 368-397, 500-524. English translation “On the Moving Force of Heat, and the Laws regarding the Nature of Heat itself which are deducible therefrom” Phil. Mag. (1851)
-
Clausius, R. 1850. U ber die bewegende Kraft der Warme, Part I, Part II. Annalen der Physik, 79, 368-397, 500-524. English translation “On the Moving Force of Heat, and the Laws regarding the Nature of Heat itself which are deducible therefrom” Phil. Mag. (1851), 2, 1-21, 102-119.
-
(1850)
Annalen der Physik
, vol.2
, Issue.1-21
, pp. 102-119
-
-
Clausius, R.1
-
36
-
-
0011418599
-
Asymptotic Laws for Symbolic Dynamical Systems
-
London Mathematical Society Lecture Note Series, Cambridge: Cambridge University Press
-
Coelho, Z. 2000. Asymptotic laws for symbolic dynamical systems, in Topics in Symbolic Dynamics and Applications(Temuco, 1997). London Mathematical Society Lecture Note Series, vol. 279. Cambridge: Cambridge University Press, pp. 123-165.
-
(1997)
Topics in Symbolic Dynamics and Applications
, vol.279
, pp. 123-165
-
-
Coelho, Z.1
-
37
-
-
84889281816
-
-
New York:John Wiley & Sons Inc. A Wiley-Interscience Publication
-
Cover, T. M. and Thomas, J. A. 1991. Elements of Information Theory. Wiley Series in Telecommunications. New York: John Wiley & Sons Inc. A Wiley-Interscience Publication.
-
(1991)
Elements of Information Theory
-
-
Cover, T.M.1
Thomas, J.A.2
-
38
-
-
77954568632
-
Finitary codes between one-sided bernoulli shifts
-
del Junco, A. 1981. Finitary codes between one-sided Bernoulli shifts. Ergodic Theory Dynam. Systems, 1(3), 285-301 (1982).
-
(1982)
Ergodic Theory Dynam. Systems
, vol.1
, Issue.3
, pp. 285-301
-
-
Del Junco, A.1
-
39
-
-
34250012263
-
Dynamical bias in the coin toss
-
Diaconis, P., Holmes, S. and Montgomery, R. 2007. Dynamical bias in the coin toss. SIAM Rev., 49(2), 211-235.
-
(2007)
SIAM Rev
, vol.49
, Issue.2
, pp. 211-235
-
-
Diaconis, P.1
Holmes, S.2
Montgomery, R.3
-
40
-
-
0039301860
-
A correlation between topological entropy and metric entropy
-
Dinaburg, E. I. 1970. A correlation between topological entropy and metric entropy. Dokl. Akad. Nauk SSSR, 190, 19-22.
-
(1970)
Dokl. Akad. Nauk SSSR
, vol.190
, pp. 19-22
-
-
Dinaburg, E.I.1
-
41
-
-
0035600854
-
Entropyof a symbolic extension of a dynamical system
-
Downarowicz, T. 2001. Entropy of a symbolic extension of a dynamical system. Ergodic Theory Dynam. Systems, 21(4), 1051-1070.
-
(2001)
Ergodic Theory Dynam. Systems
, vol.21
, Issue.4
, pp. 1051-1070
-
-
Downarowicz, T.1
-
42
-
-
27944496411
-
Entropy structure
-
Downarowicz, T. 2005a. Entropy structure. J.Anal. Math., 96, 57-116.
-
(2005)
J.Anal. Math
, vol.96
, pp. 57-116
-
-
Downarowicz, T.1
-
43
-
-
33645775368
-
Surveyof odometers and toeplitz flows
-
Providence, RI: American Mathematical Society
-
Downarowicz, T. 2005b. Survey of odometers and Toeplitz flows, in Algebraic and Topological Dynamics. Contemporary Mathematics, vol. 385. Providence, RI: American Mathematical Society, pp. 7-37.
-
(2005)
Algebraic and Topological Dynamics
, vol.385
, pp. 7-37
-
-
Downarowicz, T.1
-
44
-
-
33847743788
-
Minimal models for noninvertible and not uniquely ergodic systems
-
Downarowicz, T. 2006. Minimal models for noninvertible and not uniquely ergodic systems. Israel J. Math., 156, 93-110.
-
(2006)
Israel J. Math
, vol.156
, pp. 93-110
-
-
Downarowicz, T.1
-
45
-
-
58449089479
-
Facesof simplexes of invariant measures
-
Downarowicz, T. 2008. Faces of simplexes of invariant measures. Israel J. Math., 165, 189-210.
-
(2008)
Israel J. Math
, vol.165
, pp. 189-210
-
-
Downarowicz, T.1
-
46
-
-
17044379859
-
Measure-theoretic and topological entropy of operators on function spaces
-
Downarowicz, T. and Frej, B. 2005. Measure-theoretic and topological entropy of operators on function spaces. Ergodic Theory Dynam. Systems, 25(2), 455-481.
-
(2005)
Ergodic Theory Dynam. Systems
, vol.25
, Issue.2
, pp. 455-481
-
-
Downarowicz, T.1
Frej, B.2
-
47
-
-
78149308089
-
Attracting and repelling in homogeneous signal processes
-
Downarowicz, T., Grzegorek, P. and Lacroix, Y. 2010. Attracting and repelling in homogeneous signal processes. Nonlinearity, 23(11), 2793-2813.
-
(2010)
Nonlinearity
, vol.23
, Issue.11
, pp. 2793-2813
-
-
Downarowicz, T.1
Grzegorek, P.2
Lacroix, Y.3
-
50
-
-
84871110496
-
Topological entropy zero and asymptotic pairs
-
Print
-
Downarowicz, T. and Lacroix, Y. Topological entropy zero and asymptotic pairs. Israel J. Math. in print.
-
Israel J. Math
-
-
Downarowicz, T.1
Lacroix, Y.2
-
51
-
-
78049489967
-
Spontaneous clustering in theoretical and some empirical stochastic processes
-
Downarowicz, T., Lacroix, Y. and Leandri, D. 2010. Spontaneous clustering in theoretical and some empirical stochastic processes. ESAIM. Probab. Statist., 14, 256-262.
-
(2010)
ESAIM. Probab. Statist
, vol.14
, pp. 256-262
-
-
Downarowicz, T.1
Lacroix, Y.2
Leandri, D.3
-
52
-
-
67349202120
-
Smooth interval maps have symbolic extensions: The antarctic theorem
-
Downarowicz, T. and Maass, A. 2009. Smooth interval maps have symbolic extensions: the antarctic theorem. Invent. Math., 176(3), 617-636.
-
(2009)
Invent. Math
, vol.176
, Issue.3
, pp. 617-636
-
-
Downarowicz, T.1
Maass, A.2
-
53
-
-
18244372671
-
Symbolic extensions and smooth dynamical systems
-
Downarowicz, T. and Newhouse, S. E. 2005. Symbolic extensions and smooth dynamical systems. Invent. Math., 160(3), 453-499.
-
(2005)
Invent. Math
, vol.160
, Issue.3
, pp. 453-499
-
-
Downarowicz, T.1
Newhouse, S.E.2
-
54
-
-
0036994010
-
Fiber entropy and conditional variational principle in compact non-metrizable spaces
-
Downarowicz, T. and Serafin, J. 2002. Fiber entropy and conditional variational principle in compact non-metrizable spaces. Fund. Math., 172(3), 217-247.
-
(2002)
Fund. Math
, vol.172
, Issue.3
, pp. 217-247
-
-
Downarowicz, T.1
Serafin, J.2
-
55
-
-
0041410203
-
Possible entropy functions
-
Downarowicz, T. and Serafin, J. 2003. Possible entropy functions. Israel J. Math., 135, 221-250.
-
(2003)
Israel J. Math
, vol.135
, pp. 221-250
-
-
Downarowicz, T.1
Serafin, J.2
-
57
-
-
0035402927
-
Limit laws of entrance times for low-complexity cantor minimal systems
-
Durand, F. and Maass, A. 2001. Limit laws of entrance times for low-complexity Cantor minimal systems. Nonlinearity, 14(4), 683-700.
-
(2001)
Nonlinearity
, vol.14
, Issue.4
, pp. 683-700
-
-
Durand, F.1
Maass, A.2
-
59
-
-
26044434467
-
Entropyand preimage sets
-
Fiebig, D., Fiebig, U.-R. and Nitecki, Z. 2003. Entropy and preimage sets. Ergodic Theory Dynam. Systems, 23(6), 1785-1806.
-
(2003)
Ergodic Theory Dynam. Systems
, vol.23
, Issue.6
, pp. 1785-1806
-
-
Fiebig, D.1
Fiebig, U.-R.2
Nitecki, Z.3
-
60
-
-
33645159044
-
Malickye-riecan’s entropy as a version of operator entropy
-
Frej, B. 2006. Malickye-Riecan’s entropy as a version of operator entropy. Fund. Math., 189(2), 185-193.
-
(2006)
Fund. Math
, vol.189
, Issue.2
, pp. 185-193
-
-
Frej, B.1
-
62
-
-
33646727744
-
Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
-
Furstenberg, H. 1967. Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation. Math. Systems Theory, 1, 1-49.
-
(1967)
Math. Systems Theory
, vol.1
, pp. 1-49
-
-
Furstenberg, H.1
-
64
-
-
0011766861
-
Entropie mesureee et partitions de l’unitee
-
Ghys, E., Langevin, R. and Walczak, P. 1986. Entropie mesureee et partitions de l’unitee. C. R. Acad. Sci. Paris Seer. I Math., 303(6), 251-254.
-
(1986)
C. R. Acad. Sci. Paris Seer. I Math
, vol.303
, Issue.6
, pp. 251-254
-
-
Ghys, E.1
Langevin, R.2
Walczak, P.3
-
65
-
-
84968668270
-
-
Providence, RI: American Mathematical Society
-
Glasner, S. 2003. Ergodic Theory via Joinings. Mathematical Surveys and Monographs, vol. 101. Providence, RI: American Mathematical Society.
-
(2003)
Ergodictheory via Joinings
, pp. 101
-
-
Glasner, S.1
-
66
-
-
0038587571
-
Quasifactors of ergodic systems with positive entropy
-
Glasner, S. and Weiss, B. 2003. Quasifactors of ergodic systems with positive entropy. Israel J. Math., 134, 363-380.
-
(2003)
Israel J. Math
, vol.134
, pp. 363-380
-
-
Glasner, S.1
Weiss, B.2
-
67
-
-
0001400518
-
Relating topological entropy and measure entropy
-
Goodman, T. N. T. 1971. Relating topological entropy and measure entropy. Bull. London Math. Soc., 3, 176-180.
-
(1971)
Bull. London Math. Soc
, vol.3
, pp. 176-180
-
-
Goodman, T.N.T.1
-
68
-
-
84926090592
-
Topologicalentropybounds measure-theoretic entropy
-
Lecture Notes in Mathematics, Berlin: Springer-Verlag
-
Goodwyn, L. W. 1971. Topological entropy bounds measure-theoretic entropy, in Global Differentiable Dynamics. Lecture Notes in Mathematics, vol. 235 Berlin: Springer-Verlag, pp. 69-84.
-
(1971)
Global Differentiable Dynamics
, vol.235
, pp. 69-84
-
-
Goodwyn, L.W.1
-
69
-
-
65249147179
-
Return times in a process generated by a typical partition
-
Grzegorek, P. and Kupsa, M. 2009. Return times in a process generated by a typical partition. Nonlinearity, 22(2), 371-379.
-
(2009)
Nonlinearity
, vol.22
, Issue.2
, pp. 371-379
-
-
Grzegorek, P.1
Kupsa, M.2
-
71
-
-
27644545715
-
Hitting and return times in ergodic dynamical systems
-
Haydn, N., Lacroix, Y. and Vaienti, S. 2005. Hitting and return times in ergodic dynamical systems. Ann. Probab., 33(5), 2043-2050.
-
(2005)
Ann. Probab
, vol.33
, Issue.5
, pp. 2043-2050
-
-
Haydn, N.1
Lacroix, Y.2
Vaienti, S.3
-
72
-
-
0033426519
-
Statistics of return times: A general framework and new applications
-
Hirata, M., Saussol, B. and Vaienti, S. 1999. Statistics of return times: a general framework and new applications. Comm. Math. Phys., 206(1), 33-55.
-
(1999)
Comm. Math. Phys
, vol.206
, Issue.1
, pp. 33-55
-
-
Hirata, M.1
Saussol, B.2
Vaienti, S.3
-
73
-
-
0004188206
-
-
Graduate Texts in Mathematics, New York: Springer-Verlag. Corrected reprint of the 1976 original
-
Hirsch, M. W. 1994. Differential Topology. Graduate Texts in Mathematics, vol. 33. New York: Springer-Verlag. Corrected reprint of the 1976 original.
-
(1994)
Differential Topology
, vol.33
-
-
Hirsch, M.W.1
-
74
-
-
84974513208
-
On topological entropy of maps
-
Hurley, M. 1995. On topological entropy of maps. Ergodic Theory Dynam. Systems, 15(3), 557-568.
-
(1995)
Ergodic Theory Dynam. Systems
, vol.15
, Issue.3
, pp. 557-568
-
-
Hurley, M.1
-
78
-
-
68149089788
-
On the notion of recurrence in discrete stochastic processes
-
Kac, M. 1947. On the notion of recurrence in discrete stochastic processes. Bull. Amer. Math. Soc., 53, 1002-1010.
-
(1947)
Bull. Amer. Math. Soc
, vol.53
, pp. 1002-1010
-
-
Kac, M.1
-
79
-
-
0001293509
-
T, T−1 transformation is not loosely Bernoulli
-
Kalikow, S. A. 1982. T, T−1 transformation is not loosely Bernoulli. Ann. of Math. (2), 115(2), 393-409.
-
(1982)
Ann. Of Math
, vol.115
, Issue.2
, pp. 393-409
-
-
Kalikow, S.A.1
-
80
-
-
4043057615
-
A note on the entropy of a doubly stochastic operator
-
Kamineski, B. and, 84/85, (, part 1), Dedicated to the memory of Anzelm Iwanik
-
Kamineski, B. and de Sam Lazaro, J. 2000. A note on the entropy of a doubly stochastic operator. Colloq. Math., 84/85(, part 1), 245-254. Dedicated to the memory of Anzelm Iwanik.
-
(2000)
Colloq. Math
, pp. 245-254
-
-
De Sam Lazaro, J.1
-
81
-
-
69849088295
-
The determinism and the kolmogorov property in topological dynamics
-
Kamineski, B., and Szymaneski, J
-
Kamineski, B., Siemaszko, A. and Szymaneski, J. 2003. The determinism and the Kolmogorov property in topological dynamics. Bull. Polish Acad. Sci. Math., 51(4), 401-417.
-
(2003)
Bull. Polish Acad. Sci. Math
, vol.51
, Issue.4
, pp. 401-417
-
-
Siemaszko, A.1
-
83
-
-
51649161951
-
Lyapunov exponents, entropyand periodic orbits for diffeomorphisms
-
Katok, A. 1980. Lyapunov exponents, entropy and periodic orbits for diffeomorphisms. Inst. Hautes Eetudes Sci. Publ. Math., 137-173.
-
(1980)
Inst. Hautes Eetudes Sci. Publ. Math
, pp. 137-173
-
-
Katok, A.1
-
84
-
-
70350644614
-
Fifty years of entropy in dynamics: 1958-2007
-
Katok, A. 2007. Fifty years of entropy in dynamics: 1958-2007. J. Mod. Dyn., 1(4), 545-596.
-
(2007)
J. Mod. Dyn
, vol.1
, Issue.4
, pp. 545-596
-
-
Katok, A.1
-
85
-
-
0003406478
-
-
Cambridge: Cambridge University Press. With a supplementary chapter by Katok and Leonardo Mendoza
-
Katok, A. and Hasselblatt, B. 1995. Introductionto the Modern Theory of Dynamical Systems. Encyclopedia of Mathematics and its Applications, vol. 54. Cambridge: Cambridge University Press. With a supplementary chapter by Katok and Leonardo Mendoza.
-
(1995)
Introduction
, pp. 54
-
-
Katok, A.1
Hasselblatt, B.2
-
86
-
-
0000182509
-
Bernoulli schemes of the same entropy are finitarily isomorphic
-
Keane, M. S. and Smorodinsky, M. 1979. Bernoulli schemes of the same entropy are finitarily isomorphic. Ann. of Math. (2), 109(2), 397-406.
-
(1979)
Ann. Of Math
, vol.109
, Issue.2-2
, pp. 397-406
-
-
Keane, M.S.1
Smorodinsky, M.2
-
87
-
-
0001450585
-
A new metric invariant of transient dynamical systems and automorphisms in lebesgue spaces
-
Kolmogorov, A. N. 1958. A new metric invariant of transient dynamical systems and automorphisms in Lebesgue spaces. Dokl. Akad. Nauk SSSR (N.S.), 119, 861-864.
-
(1958)
Dokl. Akad. Nauk SSSR (N.S.)
, vol.119
, pp. 861-864
-
-
Kolmogorov, A.N.1
-
88
-
-
0001494176
-
Entropyper unit time as a metric invariant of automorphisms
-
Kolmogorov, A. N. 1959. Entropy per unit time as a metric invariant of automorphisms. Dokl. Akad. Nauk SSSR, 124, 754-755.
-
(1959)
Dokl. Akad. Nauk SSSR
, vol.124
, pp. 754-755
-
-
Kolmogorov, A.N.1
-
89
-
-
0003665284
-
-
Berlin: Walter de Gruyter & Co. With a supplement by Antoine Brunel
-
Krengel, U. 1985. Ergodic Theorems. de Gruyter Studies in Mathematics, vol. 6. Berlin: Walter de Gruyter & Co. With a supplement by Antoine Brunel.
-
(1985)
Ergodictheorems
, pp. 6
-
-
Krengel, U.1
-
90
-
-
84966257945
-
On entropy and generators of measure-preserving transformations
-
Krieger, W. 1970. On entropy and generators of measure-preserving transformations. Trans.Amer. Math. Soc., 149, 453-464.
-
(1970)
Trans
, vol.149
, pp. 453-464
-
-
Krieger, W.1
-
91
-
-
80054968274
-
Miracles and statistics: The casual assumption of independence
-
Kruskal, W. 1988. Miracles and statistics: The casual assumption of independence. J. Amer.Statist. Assoc., 83(404), 929-940.
-
(1988)
J. Amer.Statist. Assoc
, vol.83
, Issue.404
, pp. 929-940
-
-
Kruskal, W.1
-
92
-
-
0002651817
-
La theeorie geeneerale de la mesure dans son application al’eetude des systemes dynamiques de la meecanique non lineeaire
-
Kryloff, N. and Bogoliouboff, N. 1937. La theeorie geeneerale de la mesure dans son application al’eetude des systemes dynamiques de la meecanique non lineeaire. Ann. of Math. (2), 38(1), 65-113.
-
(1937)
Ann. Of Math
, vol.38
, Issue.1-2
, pp. 65-113
-
-
Kryloff, N.1
Bogoliouboff, N.2
-
93
-
-
0040913682
-
Entropy, transverse entropy and partitions of unity
-
Langevin, R. and Walczak, P. 1994. Entropy, transverse entropy and partitions of unity. ErgodicTheory Dynam. Systems, 14(3), 551-563.
-
(1994)
Ergodic
, vol.14
, Issue.3
, pp. 551-563
-
-
Langevin, R.1
Walczak, P.2
-
94
-
-
0041688943
-
A variational principle for the topological conditional entropy, in ergodic theory
-
Lect. Notes Math. Springer
-
Ledrappier, F. 1979. A variational principle for the topological conditional entropy, in Ergodic theory, Proc., Oberwolfach 1978. Lect. Notes Math. 729, Springer. pp. 78-88.
-
(1979)
Proc., Oberwolfach 1978
, vol.729
, pp. 78-88
-
-
Ledrappier, F.1
-
95
-
-
84959811336
-
A relativised variational principle for continuous transformations
-
Ledrappier, F. and Walters, P. 1977. A relativised variational principle for continuous transformations. J. London Math. Soc. (2), 16(3), 568-576.
-
(1977)
J.London Math. Soc
, vol.16
, Issue.3-2
, pp. 568-576
-
-
Ledrappier, F.1
Walters, P.2
-
96
-
-
0013196827
-
1999. Mean dimension, small entropy factors and an embedding theorem
-
Lindenstrauss, E. 1999. Mean dimension, small entropy factors and an embedding theorem. Inst. Hautes etudes Sci. Publ. Math., 227-262 (2000).
-
(1999)
Inst. Hautes etudes Sci. Publ. Math
, Issue.2000
, pp. 227-262
-
-
Lindenstrauss, E.1
-
98
-
-
0032105273
-
Pesin’sentropyformula for endomorphisms
-
Liu, P.-D. 1998. Pesin’s entropy formula for endomorphisms. Nagoya Math. J., 150, 197-209.
-
(1998)
Nagoya Math. J
, vol.150
, pp. 197-209
-
-
Liu, P.-D.1
-
99
-
-
0033722485
-
Dynamical entropy for markov operators
-
Makarov, I. I. 2000. Dynamical entropy for Markov operators. J Dynam. Control Systems, 6(1), 1-11.
-
(2000)
J Dynam. Control Systems
, vol.6
, Issue.1
, pp. 1-11
-
-
Makarov, I.I.1
-
100
-
-
0041415983
-
A new class of non-shannon-type inequalities for entropies
-
Makarychev, K., Makarychev, Y., Romashchenko, A. and Vereshchagin, N. 2002. A new class of non-Shannon-type inequalities for entropies. Commun. Inf. Syst., 2(2), 147-165.
-
(2002)
Commun. Inf. Syst
, vol.2
, Issue.2
, pp. 147-165
-
-
Makarychev, K.1
Makarychev, Y.2
Romashchenko, A.3
Vereshchagin, N.4
-
101
-
-
0012963744
-
On the entropy of dynamical systems
-
Teubner-Texte Math. Leipzig: Teubner
-
Malickye, P., and Riecan, B. 1987. On the entropy of dynamical systems, in Proceedings of the Conference on Ergodic Theory and Related Topics, II (Georgenthal, 1986). Teubner-Texte Math., vol. 94, Leipzig: Teubner. pp. 135-138.
-
(1987)
Proceedings of the Conference on Ergodic Theory and Related Topics, II (Georgenthal, 1986)
, vol.94
, pp. 135-138
-
-
Malickye, P.1
Riecan, B.2
-
102
-
-
0004142546
-
-
Unveranderter Nachdruck der ersten Auflage von 1932. Die Grundlehren der mathematischen Wissenschaften, Band. Dover Publications, Inc
-
Maxwell, J. C. 1871. Theory of Heat. Unveranderter Nachdruck der ersten Auflage von 1932. Die Grundlehren der mathematischen Wissenschaften, Band 38. Dover Publications, Inc.
-
(1871)
Theory of Heat
, pp. 38
-
-
Maxwell, J.C.1
-
103
-
-
84926087192
-
Orders of accumulation of entropy on manifolds
-
Print
-
McGoff, K. Orders of accumulation of entropy on manifolds. J. Anal. Math. in print.
-
(1953)
J.Anal. Math
-
-
Mc Goff, K.1
-
104
-
-
0001413858
-
The basic theorems of information theory
-
McMillan, B. 1953. The basic theorems of information theory. Ann. Math. Statistics, 24, 196-219.
-
(1953)
Ann. Math. Statistics
, vol.24
, pp. 196-219
-
-
Mc Millan, B.1
-
105
-
-
0009302187
-
A case of isomorphism of bernoulli schemes
-
Mesalkin, L. D. 1959. A case of isomorphism of Bernoulli schemes. Dokl. Akad. Nauk SSSR, 128, 41-44.
-
(1959)
Dokl. Akad. Nauk SSSR
, vol.128
, pp. 41-44
-
-
Mesalkin, L.D.1
-
106
-
-
0000158223
-
Topological conditional entropy
-
Misiurewicz, M. 1976. Topological conditional entropy. Studia Math., 55(2), 175-200.
-
(1976)
Studia Math
, vol.55
, Issue.2
, pp. 175-200
-
-
Misiurewicz, M.1
-
110
-
-
0001685281
-
Continuity properties of entropy
-
Newhouse, S. E. 1989. Continuity properties of entropy. Ann. of Math., 129(2), 215-235.
-
(1989)
Ann. Of Math
, vol.129
, Issue.2
, pp. 215-235
-
-
Newhouse, S.E.1
-
111
-
-
0000262299
-
Corrections to: “Continuity properties of entropy
-
[Ann. of Math. (2) 129 (1989), no. 2, 215-235]
-
Newhouse, S. E. 1990. Corrections to: “Continuity properties of entropy” [Ann. of Math. (2) 129 (1989), no. 2, 215-235]. Ann. of Math., 131(2), 409-410.
-
(1990)
Ann. Of Math
, vol.131
, Issue.2
, pp. 409-410
-
-
Newhouse, S.E.1
-
113
-
-
0000768820
-
Bernoulli shifts with the same entropy are isomorphic
-
1970
-
Ornstein, D. S. 1970a. Bernoulli shifts with the same entropy are isomorphic. Advances in Math., 4, 337-352 (1970).
-
(1970)
Advances in Math
, vol.4
, pp. 337-352
-
-
Ornstein, D.S.1
-
114
-
-
0011400243
-
Factors of bernoulli shifts are bernoulli shifts
-
1970
-
Ornstein, D. S. 1970b. Factors of Bernoulli shifts are Bernoulli shifts. Advances in Math., 5, 349-364 (1970).
-
(1970)
Advances in Math
, vol.5
, pp. 349-364
-
-
Ornstein, D.S.1
-
115
-
-
0000768821
-
Two bernoulli shifts with infinite entropy are isomorphic
-
1970
-
Ornstein, D. S. 1970c. Two Bernoulli shifts with infinite entropy are isomorphic. Advances in Math., 5, 339-348 (1970).
-
(1970)
Advances in Math
, vol.5
, pp. 339-348
-
-
Ornstein, D.S.1
-
116
-
-
0041112033
-
An example of a kolmogorov automorphism that is not a bernoulli shift
-
Ornstein, D. S. 1973. An example of a Kolmogorov automorphism that is not a Bernoulli shift. Advances in Math., 10, 49-62.
-
(1973)
Advances in Math
, vol.10
, pp. 49-62
-
-
Ornstein, D.S.1
-
117
-
-
43449108492
-
An uncountable family of
-
Ornstein, D. S. and Shields, P. C. 1973. An uncountable family of K-automorphisms. Advances in Math., 10, 63-88.
-
(1973)
Advances in Math
, vol.10
, pp. 63-88
-
-
Ornstein, D.S.1
Shields, P.C.2
-
118
-
-
51249190681
-
Everytransformation is bilaterally deterministic
-
Conference on Ergodic Theory and Topological Dynamics (Kibbutz Lavi, 1974)
-
Ornstein, D. S. and Weiss, B. 1975. Every transformation is bilaterally deterministic. Israel J. Math., 21(2-3), 154-158. Conference on Ergodic Theory and Topological Dynamics (Kibbutz Lavi, 1974).
-
(1975)
Israel J. Math
, vol.21
, Issue.2-3
, pp. 154-158
-
-
Ornstein, D.S.1
Weiss, B.2
-
120
-
-
0038434713
-
A multiplicative ergodic theorem. Characteristic ljapunov, exponents of dynamical systems
-
Oseledets, V. I. 1968. A multiplicative ergodic theorem. Characteristic Ljapunov, exponents of dynamical systems. Trudy Moskov. Mat. Obsc., 19, 179-210.
-
(1968)
Trudy Moskov. Mat. Obsc
, vol.19
, pp. 179-210
-
-
Oseledets, V.I.1
-
122
-
-
84961291543
-
Characteristic ljapunov exponents, and smooth ergodic theory
-
287
-
Pesin, Y. B. 1977. Characteristic Ljapunov exponents, and smooth ergodic theory. Uspehi Mat. Nauk, 32(4 (196)), 55-112, 287.
-
(1977)
Uspehi Mat. Nauk
, vol.32
, Issue.4-196
, pp. 55-112
-
-
Pesin, Y.B.1
-
123
-
-
0003831421
-
-
Cambridge Studies in Advanced Mathematics, Cambridge: Cambridge University Press
-
Petersen, K. 1983. Ergodic Theory. Cambridge Studies in Advanced Mathematics, vol. 2. Cambridge: Cambridge University Press.
-
(1983)
Ergodic theory
, vol.2
-
-
Petersen, K.1
-
124
-
-
0038452486
-
-
Second edn. Lecture Notes in Mathematics, Berlin: Springer-Verlag
-
Phelps, R. R. 2001. Lectures on Choquet’s Theorem. Second edn. Lecture Notes in Mathematics, vol. 1757. Berlin: Springer-Verlag.
-
(2001)
Lectures on Choquet’s Theorem
, vol.1757
-
-
Phelps, R.R.1
-
125
-
-
70350096386
-
-
Lecture Notes in Mathematics, Berlin: Springer-Verlag
-
Qian, M., Xie, J.-S. and Zhu, S. 2009. Smooth Ergodic Theory for Endomorphisms. Lecture Notes in Mathematics, vol. 1978. Berlin: Springer-Verlag.
-
(2009)
Smooth Ergodic Theory for Endomorphisms
, vol.1978
-
-
Qian, M.1
Xie, J.-S.2
Zhu, S.3
-
126
-
-
0002802366
-
On the fundamental ideas of measure theory
-
Rokhlin, V. A. 1952. On the fundamental ideas of measure theory. Amer. Math. Soc.Translation, 1952(71), 55.
-
(1952)
Amer. Math. Soc.Translation
, vol.1952
, Issue.71
, pp. 55
-
-
Rokhlin, V.A.1
-
127
-
-
0000985844
-
The structure and properties of invariant measurable partitions
-
Rokhlin, V. A. and Sinai, Y. G. 1961. The structure and properties of invariant measurable partitions. Dokl. Akad. Nauk SSSR, 141, 1038-1041.
-
(1961)
Dokl. Akad. Nauk SSSR
, vol.141
, pp. 1038-1041
-
-
Rokhlin, V.A.1
Sinai, Y.G.2
-
128
-
-
0242287406
-
A local variational principle for the topological entropy
-
Romagnoli, P.-P. 2003. A local variational principle for the topological entropy. Ergodic Theory Dynam. Systems, 23(5), 1601-1610.
-
(2003)
Ergodic Theory Dynam. Systems
, vol.23
, Issue.5
, pp. 1601-1610
-
-
Romagnoli, P.-P.1
-
129
-
-
0004116414
-
-
Second edn. McGraw-Hill Series in Higher Mathematics. New York: McGraw-Hill
-
Rudin, W. 1974. Real and Complex Analysis. Second edn. McGraw-Hill Series in Higher Mathematics. New York: McGraw-Hill.
-
(1974)
Real and Complex Analysis
-
-
Rudin, W.1
-
130
-
-
0004057553
-
-
Second edn. International Series in Pure and Applied Mathematics. New York: McGraw-Hill
-
Rudin, W. 1991. Functional Analysis. Second edn. International Series in Pure and Applied Mathematics. New York: McGraw-Hill.
-
(1991)
Functional Analysis
-
-
Rudin, W.1
-
131
-
-
51249181713
-
If a two-point extension of a bernoulli shift has an ergodic square, then it is bernoulli
-
Rudolph, D. J. 1978. If a two-point extension of a Bernoulli shift has an ergodic square, then it is Bernoulli. Israel J. Math., 30(1-2), 159-180.
-
(1978)
Israel J. Math
, vol.30
, Issue.1-2
, pp. 159-180
-
-
Rudolph, D.J.1
-
132
-
-
84856043672
-
A mathematical theory of communication
-
Shannon, C. E. 1948. A Mathematical theory of communication. Bell System Tech., 379-423, 623-656.
-
(1948)
Bell System Tech
, vol.379-423
, pp. 623-656
-
-
Shannon, C.E.1
-
133
-
-
84926075593
-
-
Graduate Studies in Mathematics, Providence, RI: American Mathematical Society
-
Shields, P. C. 1996. The Ergodic Theory of Discrete Sample Paths. Graduate Studies in Mathematics, vol. 13. Providence, RI: American Mathematical Society.
-
(1996)
The Ergodic Theory of Discrete Sample Paths
, vol.13
-
-
Shields, P.C.1
-
134
-
-
84926113126
-
-
Mathematical Expositions, Toronto: University of Toronto Press. Translated by C. Cecilia Krieger
-
Sierpinski, W. 1952. General Topology. Mathematical Expositions, No. 7. Toronto: University of Toronto Press. Translated by C. Cecilia Krieger.
-
(1952)
General Topology
, Issue.7
-
-
Sierpinski, W.1
-
135
-
-
0000419815
-
On the concept of entropy for a dynamic system
-
Sinai, Y. G. 1959. On the concept of entropy for a dynamic system. Dokl. Akad. Nauk SSSR, 124, 768-771.
-
(1959)
Dokl. Akad. Nauk SSSR
, vol.124
, pp. 768-771
-
-
Sinai, Y.G.1
-
136
-
-
0037859037
-
A weak isomorphism of transformations with invariant measure
-
Sinai, Y. G. 1962. A weak isomorphism of transformations with invariant measure. Dokl. Akad. Nauk SSSR, 147, 797-800.
-
(1962)
Dokl. Akad. Nauk SSSR
, vol.147
, pp. 797-800
-
-
Sinai, Y.G.1
-
137
-
-
49649134173
-
On ornstein’s isomorphism theorem for bernoulli shifts
-
Smorodinsky, M. 1972. On Ornstein’s isomorphism theorem for Bernoulli shifts. Advances in Math., 9, 1-9.
-
(1972)
Advances in Math
, vol.9
, pp. 1-9
-
-
Smorodinsky, M.1
-
138
-
-
84972541021
-
A lattice-theoretical fixpoint theorem and its applications
-
Tarski, A. 1955. A lattice-theoretical fixpoint theorem and its applications. Pacific J. Math., 5, 285-309.
-
(1955)
Pacific J. Math
, vol.5
, pp. 285-309
-
-
Tarski, A.1
-
139
-
-
84972507756
-
Some characterizations of normal and perfectly normal spaces
-
Tong, H. 1952. Some characterizations of normal and perfectly normal spaces. Duke Math. J., 19, 289-292.
-
(1952)
Duke Math. J.
, vol.19
, pp. 289-292
-
-
Tong, H.1
-
141
-
-
0004008274
-
-
Unveranderter Nachdruck der ersten Auflage von 1932. Die Grundlehren der mathematischen Wissenschaften, Band 38. Berlin: Springer-Verlag
-
von Neumann, J. 1968. Mathematische Grundlagender Quantenmechanik. Unveranderter Nachdruck der ersten Auflage von 1932. Die Grundlehren der mathematischen Wissenschaften, Band 38. Berlin: Springer-Verlag.
-
(1968)
Mathematische Grundlagender Quantenmechanik
-
-
Von Neumann, J.1
-
142
-
-
0003904893
-
-
Graduate Texts in Mathematics, New York: Springer-Verlag
-
Walters, P. 1982. An Introduction to Ergodic Theory. Graduate Texts in Mathematics, vol. 79. New York: Springer-Verlag.
-
(1982)
An Introduction to Ergodic Theory
, vol.79
-
-
Walters, P.1
-
143
-
-
51649149112
-
Volume growth and entropy
-
Yomdin, Y. 1987. Volume growth and entropy. Israel J. Math., 57(3), 285-300.
-
(1987)
Israel J. Math.
, vol.57
, Issue.3
, pp. 285-300
-
-
Yomdin, Y.1
-
144
-
-
84889980482
-
On the new theory of integration
-
Young, W. H. 1910. On the new theory of integration. Proc. London Math. Soc., 9, 15-50.
-
(1910)
Proc. London Math. Soc
, vol.9
, pp. 15-50
-
-
Young, W.H.1
-
145
-
-
0031276041
-
A non-shannon-type conditional inequality of information quantities
-
Zhang, Z. and Yeung, R. W. 1997. A non-Shannon-type conditional inequality of information quantities. IEEE Trans. Inform. Theory, 43(6), 1982-1986.
-
(1997)
IEEE Trans. Inform. Theory
, vol.43
, Issue.6
, pp. 1982-1986
-
-
Zhang, Z.1
Yeung, R.W.2
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