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Volumn 308, Issue 2, 2011, Pages 479-510

Limit Theorems for Dispersing Billiards with Cusps

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EID: 80355133214     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-011-1342-6     Document Type: Article
Times cited : (45)

References (24)
  • 1
    • 33644599162 scopus 로고    scopus 로고
    • Limit theorems in the stadium billiard
    • BálintP. Gouëzel S.: Limit theorems in the stadium billiard. Commun. Math. Phys 263, 461-512 (2006).
    • (2006) Commun. Math. Phys , vol.263 , pp. 461-512
    • Bálint, P.1    Gouëzel, S.2
  • 2
    • 54949157158 scopus 로고    scopus 로고
    • Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows
    • Bálint P., Melbourne I.: Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows. J. Stat. Phys 133, 435-447 (2008).
    • (2008) J. Stat. Phys , vol.133 , pp. 435-447
    • Bálint, P.1    Melbourne, I.2
  • 4
    • 11744373241 scopus 로고
    • Statistical properties of Lorentz gas with periodic configuration of scatterers
    • Bunimovich L. A., Sinai Ya. G.: Statistical properties of Lorentz gas with periodic configuration of scatterers. Commun. Math. Phys 78, 479-497 (1980/81).
    • (1980) Commun. Math. Phys , vol.78 , pp. 479-497
    • Bunimovich, L.A.1    Sinai, Y.G.2
  • 6
    • 84956084246 scopus 로고
    • Statistical properties of two-dimensional hyperbolic billiards
    • Bunimovich L. A., Sinai Ya. G., Chernov N. I.: Statistical properties of two-dimensional hyperbolic billiards. Russ. Math. Surv 46, 47-106 (1991).
    • (1991) Russ. Math. Surv , vol.46 , pp. 47-106
    • Bunimovich, L.A.1    Sinai, Y.G.2    Chernov, N.I.3
  • 7
    • 0030536473 scopus 로고    scopus 로고
    • Viscosity for a periodic two disk fluid: an existence proof
    • BunimovichL. A. Spohn H.: Viscosity for a periodic two disk fluid: an existence proof. Commun. Math. Phys. 176, 661-680 (1996).
    • (1996) Commun. Math. Phys. , vol.176 , pp. 661-680
    • Bunimovichl, A.1    Spohn, H.2
  • 8
    • 77951526945 scopus 로고    scopus 로고
    • Anomalous current in periodic Lorentz gases with infinite horizon
    • Chernov N., Dolgopyat D.: Anomalous current in periodic Lorentz gases with infinite horizon. Russ. Math. Surv 64, 73-124 (2009).
    • (2009) Russ. Math. Surv , vol.64 , pp. 73-124
    • Chernov, N.1    Dolgopyat, D.2
  • 9
    • 67650772725 scopus 로고    scopus 로고
    • Brownian Brownian Motion-1
    • Chernov, N., Dolgopyat, D.: Brownian Brownian Motion-1. Memoirs AMS 198, no. 927, 2009 (193 pp).
    • (2009) Memoirs AMS , vol.198 , Issue.927 , pp. 193
    • Chernov, N.1    Dolgopyat, D.2
  • 11
    • 33846785263 scopus 로고    scopus 로고
    • Dispersing billiards with cusps: slow decay of correlations
    • Chernov N., Markarian R.: Dispersing billiards with cusps: slow decay of correlations. Commun. Math. Phys 270, 727-758 (2007).
    • (2007) Commun. Math. Phys , vol.270 , pp. 727-758
    • Chernov, N.1    Markarian, R.2
  • 12
    • 21244475162 scopus 로고    scopus 로고
    • Billiards with polynomial mixing rates
    • Chernov N., Zhang H.-K.: Billiards with polynomial mixing rates. Nonlinearity 18, 1527-1553 (2005).
    • (2005) Nonlinearity , vol.18 , pp. 1527-1553
    • Chernov, N.1    Zhang, H.-K.2
  • 13
    • 36448967888 scopus 로고    scopus 로고
    • Improved estimates for correlations in billiards
    • Chernov N., Zhang H.-K.: Improved estimates for correlations in billiards. Commun. Math. Phys 277, 305-321 (2008).
    • (2008) Commun. Math. Phys , vol.277 , pp. 305-321
    • Chernov, N.1    Zhang, H.-K.2
  • 14
    • 0005277120 scopus 로고
    • Some simple conditions for limit theorems to be mixing
    • Eagleson G. K.: Some simple conditions for limit theorems to be mixing. Teor. Verojatnost. i Primenen 21, 653-660 (1976).
    • (1976) Teor. Verojatnost. I Primenen , vol.21 , pp. 653-660
    • Eagleson, G.K.1
  • 16
    • 33846292183 scopus 로고    scopus 로고
    • Statistical properties of a skew product with a curve of neutral points
    • Gouëzel S.: Statistical properties of a skew product with a curve of neutral points. Ergod. Th. Dynam. Syst. 27, 123-151 (2007).
    • (2007) Ergod. Th. Dynam. Syst. , vol.27 , pp. 123-151
    • Gouëzel, S.1
  • 18
    • 0040234608 scopus 로고
    • On the dispersion of time-dependent means of a stationary stochastic process
    • Leonov V. P.: On the dispersion of time-dependent means of a stationary stochastic process. Th. Probab. Appl 6, 87-93 (1961).
    • (1961) Th. Probab. Appl , vol.6 , pp. 87-93
    • Leonov, V.P.1
  • 19
    • 0000591151 scopus 로고
    • Power law decay of correlations in a billiard problem
    • Machta J.: Power law decay of correlations in a billiard problem. J. Stat. Phys 32, 555-564 (1983).
    • (1983) J. Stat. Phys , vol.32 , pp. 555-564
    • Machta, J.1
  • 20
    • 3743107403 scopus 로고
    • Diffusion in a periodic Lorentz gas
    • Machta J., Zwanzig R.: Diffusion in a periodic Lorentz gas. Phys. Rev. Lett. 50, 1959-1962 (1983).
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 1959-1962
    • Machta, J.1    Zwanzig, R.2
  • 21
    • 14644396555 scopus 로고    scopus 로고
    • Statistical limit theorems for suspension flows
    • Melbourne I., Török A.: Statistical limit theorems for suspension flows. Israel J. Math 144, 191-209 (2004).
    • (2004) Israel J. Math , vol.144 , pp. 191-209
    • Melbourne, I.1    Török, A.2
  • 22
    • 84927896522 scopus 로고
    • Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards
    • Sinai Ya. G.: Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards. Russ. Math. Surv 25, 137-189 (1970).
    • (1970) Russ. Math. Surv , vol.25 , pp. 137-189
    • Sinai, Y.G.1
  • 23
    • 34548648549 scopus 로고    scopus 로고
    • Limit laws and recurrence for the planar lorentz process with infinite horizon
    • Szasz D., Varju T.: Limit laws and recurrence for the planar lorentz process with infinite horizon. J. Stat. Phys 129, 59-80 (2007).
    • (2007) J. Stat. Phys , vol.129 , pp. 59-80
    • Szasz, D.1    Varju, T.2
  • 24
    • 0032348050 scopus 로고    scopus 로고
    • Statistical properties of dynamical systems with some hyperbolicity
    • Young L.-S.: Statistical properties of dynamical systems with some hyperbolicity. Ann. Math 147, 585-650 (1998).
    • (1998) Ann. Math , vol.147 , pp. 585-650
    • Young, L.-S.1


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