-
1
-
-
34247217923
-
Chaotic billiards
-
(American Mathematical Society, Providence, RI)
-
N. Chernov and R. Markarian, Chaotic Billiards, Mathematical Surveys and Monographs, Vol. 127 (American Mathematical Society, Providence, RI, 2006).
-
(2006)
Mathematical Surveys and Monographs
, vol.127
-
-
Chernov, N.1
Markarian, R.2
-
3
-
-
0013238735
-
-
Encyclopaedia of Mathematical Sciences (Springer, Berlin)
-
D. Szász, ed., Hard Ball Systems and the Lorentz Gas, Encyclopaedia of Mathematical Sciences (Springer, Berlin, 2000).
-
(2000)
Hard Ball Systems and the Lorentz Gas
-
-
Szász, D.1
-
4
-
-
0042137264
-
-
(Niels Bohr Institute, Copenhagen)
-
P. Cvitanović, R. Artuso, R. Mainieri, G. Tanner, and G. Vattay, Chaos: Classical and Quantum (Niels Bohr Institute, Copenhagen, 2012).
-
(2012)
Chaos: Classical and Quantum
-
-
Cvitanović, P.1
Artuso, R.2
Mainieri, R.3
Tanner, G.4
Vattay, G.5
-
6
-
-
0038813556
-
-
PHYADX 0378-4371 10.1016/S0378-4371(02)02036-8
-
P. Gaspard, G. Nicolis, and J. R. Dorfman, Physica A 323, 294 (2003). PHYADX 0378-4371 10.1016/S0378-4371(02)02036-8
-
(2003)
Physica A
, vol.323
, pp. 294
-
-
Gaspard, P.1
Nicolis, G.2
Dorfman, J.R.3
-
9
-
-
33645738742
-
Advanced statistical properties of dispersing billiards
-
DOI 10.1007/s10955-006-9036-8
-
N. Chernov, J. Stat. Phys. 122, 1061 (2006). JSTPBS 0022-4715 10.1007/s10955-006-9036-8 (Pubitemid 43550943)
-
(2006)
Journal of Statistical Physics
, vol.122
, Issue.6
, pp. 1061-1094
-
-
Chernov, N.1
-
10
-
-
0032348050
-
-
ANMAAH 0003-486X 10.2307/120960
-
L.-S. Young, Ann. Math. 147, 585 (1998). ANMAAH 0003-486X 10.2307/120960
-
(1998)
Ann. Math.
, vol.147
, pp. 585
-
-
Young, L.-S.1
-
12
-
-
0033411759
-
-
0143-3857 10.1017/S0143385799141701
-
J.-P. Conze, Ergodic Theor. Dynam. Syst. 19, 1233 (1999). 0143-3857 10.1017/S0143385799141701
-
(1999)
Ergodic Theor. Dynam. Syst.
, vol.19
, pp. 1233
-
-
Conze, J.-P.1
-
13
-
-
0041913066
-
Aperiodic Lorentz gas: Recurrence and ergodicity
-
DOI 10.1017/S0143385702001529
-
M. Lenci, Ergodic Theor. Dynam. Syst. 23, 869 (2003). 0143-3857 10.1017/S0143385702001529 (Pubitemid 36913930)
-
(2003)
Ergodic Theory and Dynamical Systems
, vol.23
, Issue.3
, pp. 869-883
-
-
Lenci, M.1
-
14
-
-
33744941836
-
Typicality of recurrence for Lorentz gases
-
DOI 10.1017/S0143385706000022, PII S0143385706000022
-
M. Lenci, Ergodic Theor. Dynam. Syst. 26, 799 (2006). 0143-3857 10.1017/S0143385706000022 (Pubitemid 43847331)
-
(2006)
Ergodic Theory and Dynamical Systems
, vol.26
, Issue.3
, pp. 799-820
-
-
Lenci, M.1
-
15
-
-
77954465982
-
-
CHAOEH 1054-1500 10.1063/1.3405290
-
G. Cristadoro, M. Lenci, and M. Seri, Chaos 20, 023115 (2010). CHAOEH 1054-1500 10.1063/1.3405290
-
(2010)
Chaos
, vol.20
, pp. 023115
-
-
Cristadoro, G.1
Lenci, M.2
Seri, M.3
-
16
-
-
84878057601
-
-
(European Mathematical Society, Zurich)
-
N. Chernov and D. Dolgopyat, Proceedings of the International Congress of Mathematicians, Vol. 2 (European Mathematical Society, Zurich, 2006), p. 1679.
-
(2006)
Proceedings of the International Congress of Mathematicians
, vol.2
, pp. 1679
-
-
Chernov, N.1
Dolgopyat, D.2
-
18
-
-
0000313327
-
-
JSTPBS 0022-4715 10.1007/BF01060071
-
P. M. Bleher, J. Stat. Phys. 66, 315 (1992). JSTPBS 0022-4715 10.1007/BF01060071
-
(1992)
J. Stat. Phys.
, vol.66
, pp. 315
-
-
Bleher, P.M.1
-
19
-
-
57749121860
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.78.060101
-
D. P. Sanders, Physical Review E 78, 060101 (2008). PLEEE8 1539-3755 10.1103/PhysRevE.78.060101
-
(2008)
Physical Review e
, vol.78
, pp. 060101
-
-
Sanders, D.P.1
-
20
-
-
84155188877
-
-
JSTPBS 0022-4715 10.1007/s10955-011-0397-2
-
C. P. Dettmann, J. Stat. Phys. 146, 181 (2012). JSTPBS 0022-4715 10.1007/s10955-011-0397-2
-
(2012)
J. Stat. Phys.
, vol.146
, pp. 181
-
-
Dettmann, C.P.1
-
21
-
-
84909984037
-
-
P. Nándori, D. Szász, and T. Varjú, arXiv:1210.2231 (2012)
-
P. Nándori, D. Szász, and T. Varjú, arXiv:1210.2231 (2012).
-
-
-
-
22
-
-
4243563119
-
-
PYLAAG 0375-9601 10.1016/0375-9601(86)90568-2
-
A. Zacherl, T. Geisel, J. Nierwetberg, and G. Radons, Phys. Lett. A 114, 317 (1986). PYLAAG 0375-9601 10.1016/0375-9601(86)90568-2
-
(1986)
Phys. Lett. A
, vol.114
, pp. 317
-
-
Zacherl, A.1
Geisel, T.2
Nierwetberg, J.3
Radons, G.4
-
23
-
-
0001922173
-
-
PYLAAG 0375-9601 10.1016/0375-9601(84)90554-1
-
B. Friedman and R. F. Martin, Jr., Phys. Lett. A 105, 23 (1984). PYLAAG 0375-9601 10.1016/0375-9601(84)90554-1
-
(1984)
Phys. Lett. A
, vol.105
, pp. 23
-
-
Friedman, B.1
Martin, Jr.R.F.2
-
24
-
-
0007315066
-
-
PDNPDT 0167-2789 10.1016/0167-2789(88)90108-X
-
B. Friedman and R. F. Martin, Jr., Physica D 30, 219 (1988). PDNPDT 0167-2789 10.1016/0167-2789(88)90108-X
-
(1988)
Physica D
, vol.30
, pp. 219
-
-
Friedman, B.1
Martin, Jr.R.F.2
-
25
-
-
21844503769
-
-
JSTPBS 0022-4715 10.1007/BF02188675
-
P. L. Garrido and G. Gallavotti, J. Stat. Phys. 76, 549 (1994). JSTPBS 0022-4715 10.1007/BF02188675
-
(1994)
J. Stat. Phys.
, vol.76
, pp. 549
-
-
Garrido, P.L.1
Gallavotti, G.2
-
26
-
-
0031184697
-
-
JSTPBS 0022-4715 10.1007/BF02508465
-
H. Matsuoka and R. F. Martin, Jr., J. Stat. Phys. 88, 81 (1997). JSTPBS 0022-4715 10.1007/BF02508465
-
(1997)
J. Stat. Phys.
, vol.88
, pp. 81
-
-
Matsuoka, H.1
Martin, Jr.R.F.2
-
27
-
-
0010914068
-
On the decay of correlations in Sinai billiards with infinite horizon
-
DOI 10.1016/0375-9601(96)00404-5, PII S0375960196004045
-
P. Dahlqvist and R. Artuso, Phys. Lett. A 219, 212 (1996). PYLAAG 0375-9601 10.1016/0375-9601(96)00404-5 (Pubitemid 126389154)
-
(1996)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.219
, Issue.3-4
, pp. 212-216
-
-
Dahlqvist, P.1
Artuso, R.2
-
28
-
-
58849151765
-
-
PLMTAL 0024-6115 10.1112/plms/pdn028
-
I. Melbourne, Proc. London Math. Soc. 98, 163 (2009). PLMTAL 0024-6115 10.1112/plms/pdn028
-
(2009)
Proc. London Math. Soc.
, vol.98
, pp. 163
-
-
Melbourne, I.1
-
29
-
-
34548648549
-
-
JSTPBS 0022-4715 10.1007/s10955-007-9367-0
-
D. Szász and T. Varjú, J. Stat. Phys. 129, 59 (2007). JSTPBS 0022-4715 10.1007/s10955-007-9367-0
-
(2007)
J. Stat. Phys.
, vol.129
, pp. 59
-
-
Szász, D.1
Varjú, T.2
-
30
-
-
33644599162
-
Limit theorems in the stadium billiard
-
DOI 10.1007/s00220-005-1511-6
-
P. Bálint and S. Gouëzel, Commun. Math. Phys. 263, 461 (2006). CMPHAY 0010-3616 10.1007/s00220-005-1511-6 (Pubitemid 43312097)
-
(2006)
Communications in Mathematical Physics
, vol.263
, Issue.2
, pp. 461-512
-
-
Balint, P.1
Gouezel, S.2
-
31
-
-
77951526945
-
-
0036-0279 10.1070/RM2009v064n04ABEH004630
-
D. I. Dolgopyat and N. I. Chernov, Russ. Math. Surv. 64, 651 (2009). 0036-0279 10.1070/RM2009v064n04ABEH004630
-
(2009)
Russ. Math. Surv.
, vol.64
, pp. 651
-
-
Dolgopyat, D.I.1
Chernov, N.I.2
-
32
-
-
40949120952
-
Problem of transport in billiards with infinite horizon
-
DOI 10.1103/PhysRevE.77.036203
-
M. Courbage, M. Edelman, S. M. Saberi Fathi, and G. M. Zaslavsky, Phys. Rev. E 77, 036203 (2008). PLEEE8 1539-3755 10.1103/PhysRevE.77.036203 (Pubitemid 351415894)
-
(2008)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.77
, Issue.3
, pp. 036203
-
-
Courbage, M.1
Edelman, M.2
Fathi, S.M.S.3
Zaslavsky, G.M.4
-
33
-
-
0030210072
-
-
JSTPBS 0022-4715 10.1007/BF02179657
-
P. Dahlqvist, J. Stat. Phys. 84, 773 (1996). JSTPBS 0022-4715 10.1007/BF02179657
-
(1996)
J. Stat. Phys.
, vol.84
, pp. 773
-
-
Dahlqvist, P.1
-
35
-
-
0040360945
-
-
JSTPBS 0022-4715 10.1007/BF02508462
-
N. Chernov, J. Stat. Phys. 88, 1 (1997). JSTPBS 0022-4715 10.1007/BF02508462
-
(1997)
J. Stat. Phys.
, vol.88
, pp. 1
-
-
Chernov, N.1
-
36
-
-
0038057483
-
-
1063-651X 10.1103/PhysRevE.67.021110
-
D. N. Armstead, B. R. Hunt, and E. Ott, Phys. Rev. E 67, 021110 (2003). 1063-651X 10.1103/PhysRevE.67.021110
-
(2003)
Phys. Rev. e
, vol.67
, pp. 021110
-
-
Armstead, D.N.1
Hunt, B.R.2
Ott, E.3
-
37
-
-
0042311127
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.90.244101
-
R. Artuso and G. Cristadoro, Phys. Rev. Lett. 90, 244101 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.244101
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 244101
-
-
Artuso, R.1
Cristadoro, G.2
-
39
-
-
84909984036
-
-
I. Melbourne (private communication, 2012).
-
I. Melbourne (private communication, 2012).
-
-
-
-
40
-
-
0039765131
-
-
PDNPDT 0167-2789 10.1016/S0167-2789(99)00031-7
-
P. Castiglione, A. Mazzino, P. Muratore-Ginanneschi, and A. Vulpiani, Physica D 134, 75 (1999). PDNPDT 0167-2789 10.1016/S0167-2789(99)00031-7
-
(1999)
Physica D
, vol.134
, pp. 75
-
-
Castiglione, P.1
Mazzino, A.2
Muratore-Ginanneschi, P.3
Vulpiani, A.4
-
42
-
-
84909984035
-
-
S. Gouezel and I. Melbourne, arXiv:1404.0645 (2014)
-
S. Gouezel and I. Melbourne, arXiv:1404.0645 (2014).
-
-
-
-
44
-
-
84909984034
-
-
N. Chernov, P. Bálint, and D. Dolgopyat (private communication, 2012).
-
N. Chernov, P. Bálint, and D. Dolgopyat (private communication, 2012).
-
-
-
-
46
-
-
0031276826
-
-
1063-651X 10.1103/PhysRevE.56.5310
-
G. M. Zaslavsky and M. Edelman, Phys. Rev. E 56, 5310 (1997). 1063-651X 10.1103/PhysRevE.56.5310
-
(1997)
Phys. Rev. e
, vol.56
, pp. 5310
-
-
Zaslavsky, G.M.1
Edelman, M.2
-
47
-
-
84909984033
-
-
G. Cristadoro, T. Gilbert, M. Lenci, and D. P. Sanders (unpublished).
-
G. Cristadoro, T. Gilbert, M. Lenci, and D. P. Sanders (unpublished).
-
-
-
-
48
-
-
84909984032
-
-
G. Cristadoro, T. Gilbert, M. Lenci, and D. P. Sanders arXiv:1407.0227
-
G. Cristadoro, T. Gilbert, M. Lenci, and D. P. Sanders arXiv:1407.0227.
-
-
-
-
49
-
-
0000071792
-
-
JCTPAH 0021-9991 10.1016/0021-9991(91)90222-7
-
B. D. Lubachevsky, J. Comput. Phys. 94, 255 (1991). JCTPAH 0021-9991 10.1016/0021-9991(91)90222-7
-
(1991)
J. Comput. Phys.
, vol.94
, pp. 255
-
-
Lubachevsky, B.D.1
-
50
-
-
80052022634
-
-
JSTPBS 0022-4715 10.1007/s10955-011-0268-x
-
H.-P. Hsu and P. Grassberger, J. Stat. Phys. 144, 597 (2011). JSTPBS 0022-4715 10.1007/s10955-011-0268-x
-
(2011)
J. Stat. Phys.
, vol.144
, pp. 597
-
-
Hsu, H.-P.1
Grassberger, P.2
-
51
-
-
84909984031
-
-
T. Laffargue and J. Tailleur, arXiv:1404.2600 (2014)
-
T. Laffargue and J. Tailleur, arXiv:1404.2600 (2014).
-
-
-
-
53
-
-
84923544139
-
-
(Cambridge University Press, Cambridge, UK)
-
G. M. Viswanathan, M. G. E. da Luz, E. P. Raposo, and H. E. Stanley, The Physics of Foraging: an Introduction to Random Searches and Biological Encounters (Cambridge University Press, Cambridge, UK, 2011).
-
(2011)
The Physics of Foraging: An Introduction to Random Searches and Biological Encounters
-
-
Viswanathan, G.M.1
Da Luz, M.G.E.2
Raposo, E.P.3
Stanley, H.E.4
-
55
-
-
33750026674
-
-
1063-651X 10.1103/PhysRevE.47.851
-
G. Zumofen and J. Klafter, Physical Review E 47, 851 (1993). 1063-651X 10.1103/PhysRevE.47.851
-
(1993)
Physical Review e
, vol.47
, pp. 851
-
-
Zumofen, G.1
Klafter, J.2
-
56
-
-
3743107403
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.50.1959
-
J. Machta and R. Zwanzig, Phys. Rev. Lett. 50, 1959 (1983). PRLTAO 0031-9007 10.1103/PhysRevLett.50.1959
-
(1983)
Phys. Rev. Lett.
, vol.50
, pp. 1959
-
-
Machta, J.1
Zwanzig, R.2
|