-
1
-
-
0039681742
-
Randomness in computability theory
-
Computability Theory and its Applications (Boulder, CO, 1999) Amer. Math. Soc
-
K. Ambos-Spies A. Kučera Randomness in computability theory Computability Theory and its Applications (Boulder, CO, 1999) Contemp. Math. vol. 257 2000 Amer. Math. Soc. 1-14
-
(2000)
Contemp. Math.
, vol.257
, pp. 1-14
-
-
Ambos-Spies, K.1
Kučera, A.2
-
2
-
-
84948145107
-
Resource-bounded balanced genericity, stochasticity and weak randomness
-
C. Puech R. Reischuk Proceedings of the 13th Annual Symposium on Theoretical Aspects of Computer Science STACS'96, Grenoble, France Springer-Verlag Berlin
-
K. Ambos-Spies E. Mayordomo Y. Wang X. Zheng Resource-bounded balanced genericity, stochasticity and weak randomness C. Puech R. Reischuk Proceedings of the 13th Annual Symposium on Theoretical Aspects of Computer Science STACS'96, Grenoble, France Lecture Notes in Computer Science vol. 1046 1996 Springer-Verlag Berlin 63-74
-
(1996)
Lecture Notes in Computer Science
, vol.1046
, pp. 63-74
-
-
Ambos-Spies, K.1
Mayordomo, E.2
Wang, Y.3
Zheng, X.4
-
3
-
-
0034871624
-
Hausdorff dimension in exponential time
-
IEEE Computer Society, IEEE Computer Society Press Chicago, IL, USA
-
K. Ambos-Spies W. Merkle J. Reimann F. Stephan Hausdorff dimension in exponential time Proceedings of the 16th Annual IEEE Conference on Computational Complexity 2000 IEEE Computer Society, IEEE Computer Society Press Chicago, IL, USA 210-217
-
(2000)
Proceedings of the 16th Annual IEEE Conference on Computational Complexity
, pp. 210-217
-
-
Ambos-Spies, K.1
Merkle, W.2
Reimann, J.3
Stephan, F.4
-
4
-
-
0342468141
-
A generalization of resource-bounded measure, with application to the BPP vs. EXP problem
-
H. Buhrman D. van Melkebeek K.W. Regan D. Sivakumar M. Strauss A generalization of resource-bounded measure, with application to the BPP vs. EXP problem SIAM J. Comput. 30 2 2000 576-601
-
(2000)
SIAM J. Comput.
, vol.30
, Issue.2
, pp. 576-601
-
-
Buhrman, H.1
van Melkebeek, D.2
Regan, K.W.3
Sivakumar, D.4
Strauss, M.5
-
5
-
-
0028712369
-
On Hausdorff and topological dimensions of the Kolmogorov complexity of the real line
-
J.-Y. Cai J. Hartmanis On Hausdorff and topological dimensions of the Kolmogorov complexity of the real line J. Comput. System Sci. 49 3 1994 605-619
-
(1994)
J. Comput. System Sci.
, vol.49
, Issue.3
, pp. 605-619
-
-
Cai, J.-Y.1
Hartmanis, J.2
-
6
-
-
0037185197
-
A characterization of c.e. random reals
-
C.S. Calude A characterization of c.e. random reals Theoret. Comput. Sci. 271 2002 3-14
-
(2002)
Theoret. Comput. Sci.
, vol.271
, pp. 3-14
-
-
Calude, C.S.1
-
8
-
-
0007424433
-
On tables of random numbers
-
(Reprinted as [9])
-
A.N. Kolmogorov On tables of random numbers Sankhyā, Ser. A 25 1963 369-376 (Reprinted as [9])
-
(1963)
Sankhyā, Ser. A
, vol.25
, pp. 369-376
-
-
Kolmogorov, A.N.1
-
9
-
-
0037749098
-
On tables of random numbers
-
(Reprint of [8])
-
A.N. Kolmogorov On tables of random numbers Theoret. Comput. Sci. 207 2 1998 387-395 (Reprint of [8])
-
(1998)
Theoret. Comput. Sci.
, vol.207
, Issue.2
, pp. 387-395
-
-
Kolmogorov, A.N.1
-
10
-
-
0346304059
-
Recursive Computational Depth
-
J.I. Lathrop J.H. Lutz Recursive Computational Depth Inform. and Comput. 153 1 1999 139-172
-
(1999)
Inform. and Comput.
, vol.153
, Issue.1
, pp. 139-172
-
-
Lathrop, J.I.1
Lutz, J.H.2
-
11
-
-
0003680739
-
An Introduction to Kolmogorov Complexity and its Applications
-
Springer New York
-
M. Li P. Vitányi An Introduction to Kolmogorov Complexity and its Applications second ed. Graduate Texts in Computer Science 1997 Springer New York
-
(1997)
Graduate Texts in Computer Science
-
-
Li, M.1
Vitányi, P.2
-
12
-
-
0042919188
-
A new interpretation of the von Mises' concept of random sequence
-
D. Loveland A new interpretation of the von Mises' concept of random sequence Z. Math. Logik Grundlagen Math. 12 1966 279-294
-
(1966)
Z. Math. Logik Grundlagen Math.
, vol.12
, pp. 279-294
-
-
Loveland, D.1
-
13
-
-
84974575141
-
Gales and the constructive dimension of individual sequences
-
Automata, Languages and Programming ICALP Geneva, Switzerland, 2000 Springer Berlin
-
J.H. Lutz Gales and the constructive dimension of individual sequences Automata, Languages and Programming ICALP 2000, Geneva, Switzerland, 2000 Lecture Notes in Comput. Sci. vol. 1853 2000 Springer Berlin 902-913
-
(2000)
Lecture Notes in Comput. Sci.
, vol.1853
, pp. 902-913
-
-
Lutz, J.H.1
-
14
-
-
0008961734
-
Feasible reductions to Kolmogorov-Loveland stochastic sequences
-
J.H. Lutz D.L. Schweizer Feasible reductions to Kolmogorov-Loveland stochastic sequences Theoret. Comput. Sci. 225 1999 185-194
-
(1999)
Theoret. Comput. Sci.
, vol.225
, pp. 185-194
-
-
Lutz, J.H.1
Schweizer, D.L.2
-
15
-
-
18344371384
-
The definition of random sequences
-
P. Martin-Löf The definition of random sequences Inf. Control 9 1966 602-619
-
(1966)
Inf. Control
, vol.9
, pp. 602-619
-
-
Martin-Löf, P.1
-
16
-
-
0037120704
-
A Kolmogorov complexity characterization of constructive Hausdorff dimension
-
E. Mayordomo A Kolmogorov complexity characterization of constructive Hausdorff dimension Inform. Process. Lett. 84 1 2002 1-3
-
(2002)
Inform. Process. Lett.
, vol.84
, Issue.1
, pp. 1-3
-
-
Mayordomo, E.1
-
17
-
-
0043016187
-
The complexity of stochastic sequences
-
IEEE Computer Society, IEEE Computer Society Press Aarhus, Denmark
-
W. Merkle The complexity of stochastic sequences Conference on Computational Complexity 2003 2003 IEEE Computer Society, IEEE Computer Society Press Aarhus, Denmark 230-235
-
(2003)
Conference on Computational Complexity 2003
, pp. 230-235
-
-
Merkle, W.1
-
18
-
-
0348222318
-
The Kolmogorov-Loveland stochastic sequences are not closed under selecting subsequences
-
W. Merkle The Kolmogorov-Loveland stochastic sequences are not closed under selecting subsequences J. Symbolic Logic 68 2003 1362-1376
-
(2003)
J. Symbolic Logic
, vol.68
, pp. 1362-1376
-
-
Merkle, W.1
-
19
-
-
4644371119
-
On initial segment complexity and degrees of randomness
-
(in preparation)
-
J.S. Miller, L. Yu, On initial segment complexity and degrees of randomness (in preparation)
-
-
-
Miller, J.S.1
Yu, L.2
-
21
-
-
0348104828
-
Classical Recursion Theory. The Theory of Functions and Sets of Natural Numbers
-
North-Holland Amsterdam
-
P. Odifreddi Classical Recursion Theory. The Theory of Functions and Sets of Natural Numbers Studies in Logic and the Foundations of Mathematics vol. 125 1989 North-Holland Amsterdam
-
(1989)
Studies in Logic and the Foundations of Mathematics
, vol.125
-
-
Odifreddi, P.1
-
22
-
-
24144450113
-
Computability and fractal dimensionm
-
Doctoral Dissertation Universität Heidelberg
-
J. Reimann, Computability and fractal dimension, Doctoral Dissertation, Universität Heidelberg, 2004
-
(2004)
-
-
Reimann, J.1
-
23
-
-
26444528871
-
Coding of combinatorial sources and Hausdorff dimension
-
B.Y. Ryabko Coding of combinatorial sources and Hausdorff dimension Dokl. Akad. Nauk SSSR 277 5 1984 1066-1070
-
(1984)
Dokl. Akad. Nauk SSSR
, vol.277
, Issue.5
, pp. 1066-1070
-
-
Ryabko, B.Y.1
-
24
-
-
0009927384
-
Noise-free coding of combinatorial sources, Hausdorff dimension and Kolmogorov complexity
-
B.Y. Ryabko Noise-free coding of combinatorial sources, Hausdorff dimension and Kolmogorov complexity Problemy Peredachi Informatsii 22 3 1986 16-26
-
(1986)
Problemy Peredachi Informatsii
, vol.22
, Issue.3
, pp. 16-26
-
-
Ryabko, B.Y.1
-
25
-
-
33644800750
-
-
April Private communication
-
B.Y. Ryabko, Private communication, April 2003
-
(2003)
-
-
Ryabko, B.Y.1
-
26
-
-
0000583779
-
A unified approach to the definition of random sequences
-
C.P. Schnorr A unified approach to the definition of random sequences Math. Systems Theory 5 1971 246-258
-
(1971)
Math. Systems Theory
, vol.5
, pp. 246-258
-
-
Schnorr, C.P.1
-
27
-
-
0002411710
-
Zufälligkeit und Wahrscheinlichkeit. Eine algorithmische Begründung der Wahrscheinlichkeitstheorie
-
Springer-Verlag Berlin-Heidelberg-New York
-
C.P. Schnorr Zufälligkeit und Wahrscheinlichkeit. Eine algorithmische Begründung der Wahrscheinlichkeitstheorie (Randomness and Probability. An Algorithmic Foundation of Probability Theory) Lecture Notes in Mathematics vol. 218 1971 Springer-Verlag Berlin-Heidelberg-New York
-
(1971)
Lecture Notes in Mathematics
, vol.218
-
-
Schnorr, C.P.1
-
28
-
-
0002394549
-
On relations between different algorithmic definitions of randomness
-
A. Shen' On relations between different algorithmic definitions of randomness Soviet Math. Dokl. 38 1989 316-319
-
(1989)
Soviet Math. Dokl.
, vol.38
, pp. 316-319
-
-
Shen', A.1
-
29
-
-
38249002230
-
Kolmogorov complexity and Hausdorff dimension
-
L. Staiger Kolmogorov complexity and Hausdorff dimension Inform. and Comput. 103 2 1993 159-194
-
(1993)
Inform. and Comput.
, vol.103
, Issue.2
, pp. 159-194
-
-
Staiger, L.1
-
30
-
-
0038856793
-
A tight upper bound on Kolmogorov complexity and uniformly optimal prediction
-
L. Staiger A tight upper bound on Kolmogorov complexity and uniformly optimal prediction Theory Comput. Syst. 31 3 1998 215-229
-
(1998)
Theory Comput. Syst.
, vol.31
, Issue.3
, pp. 215-229
-
-
Staiger, L.1
-
31
-
-
84956237004
-
Can an individual sequence of zeros and ones be random?
-
V. Uspensky A. Semenov A. Shen' Can an individual sequence of zeros and ones be random? Russ. Math. Surv. 45 1 1990 121-189
-
(1990)
Russ. Math. Surv.
, vol.45
, Issue.1
, pp. 121-189
-
-
Uspensky, V.1
Semenov, A.2
Shen', A.3
-
32
-
-
0011565585
-
Random sequences
-
Doctoral Dissertation University of Amsterdam
-
M. van Lambalgen, Random sequences, Doctoral Dissertation, University of Amsterdam, 1987
-
(1987)
-
-
van Lambalgen, M.1
-
33
-
-
0009936842
-
The complexity of finite objects and the basing of the concepts of information and randomness on the theory of algorithms
-
156
-
A.K. Zvonkin L.A. Levin The complexity of finite objects and the basing of the concepts of information and randomness on the theory of algorithms Uspehi Mat. Nauk 25 6(156) 1970 85-127
-
(1970)
Uspehi Mat. Nauk
, vol.25
, Issue.6
, pp. 85-127
-
-
Zvonkin, A.K.1
Levin, L.A.2
|