Found 38 Documents (Results 1–38)
Back to boundaries in billiards. (English) Zbl 07868799
Cusps in heavy billiards. (English) Zbl 1536.37033
Reviewer: Daniel Jaud (München)
Survey lecture on billiards. (English) Zbl 1543.37001
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2392-2429 (2023).
Reviewer: Thomas B. Ward (Durham)
Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards. (Bornes polynomiales précises pour la décroissance des corrélations d’applications non-uniformément hyperboliques en plusieurs dimensions et de billards.) (English. French summary) Zbl 1498.37053
Reviewer: Martin Sambarino (Montevideo)
Sharp statistical properties for a family of multidimensional nonMarkovian nonconformal intermittent maps. (English) Zbl 1476.37015
Large deviations of Birkhoff’s sums via the approximation of observables. (English) Zbl 1453.37010
Reviewer: George Stoica (Saint John)
Polynomial decay of correlations for flows, including Lorentz gas examples. (English) Zbl 1433.37006
Rates of mixing for non-Markov infinite measure semiflows. (English) Zbl 1417.37050
Reviewer: Hasan Akin (Gaziantep)
Non-stationary almost sure invariance principle for hyperbolic systems with singularities. (English) Zbl 1401.37044
Superpolynomial and polynomial mixing for semiflows and flows. (English) Zbl 1429.37013
Reviewer: Gheorghe Tigan (Timisoara)
Mechanisms of chaos in billiards: dispersing, defocusing and nothing else. (English) Zbl 1392.37035
Reviewer: Kazuhiro Sakai (Utsunomiya)
MSC:
37D50
37D25
Decay of correlations for billiards with flat points. II: Cusps effect. (English) Zbl 1398.37035
Blokh, Alexander M. (ed.) et al., Dynamical systems, ergodic theory, and probability. In memory of Kolya Chernov. Conference dedicated to the memory of Nikolai Chernov, University of Alabama at Birmingham, Birmingham, AL, USA, May 18–20, 2015. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2773-3/pbk; 978-1-4704-4224-8/ebook). Contemporary Mathematics 698, 287-316 (2017).
Decay of correlations for billiards with flat points I: channel effects. (English) Zbl 1398.37015
Blokh, Alexander M. (ed.) et al., Dynamical systems, ergodic theory, and probability. In memory of Kolya Chernov. Conference dedicated to the memory of Nikolai Chernov, University of Alabama at Birmingham, Birmingham, AL, USA, May 18–20, 2015. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2773-3/pbk; 978-1-4704-4224-8/ebook). Contemporary Mathematics 698, 239-286 (2017).
Convergence of moments for dispersing billiards with cusps. (English) Zbl 1415.37011
Blokh, Alexander M. (ed.) et al., Dynamical systems, ergodic theory, and probability. In memory of Kolya Chernov. Conference dedicated to the memory of Nikolai Chernov, University of Alabama at Birmingham, Birmingham, AL, USA, May 18–20, 2015. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 698, 35-67 (2017).
Reviewer: Chryssoula Ganatsiou (Larissa)
Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems. (English. Russian original) Zbl 1370.37014
Trans. Mosc. Math. Soc. 2016, 1-53 (2016); translation from Tr. Mosk. Mat. O.-va 77, No. 1, 1-66 (2016).
Reviewer: Alejandro Mesón (La Plata)
Large deviations and rates of convergence in the Birkhoff ergodic theorem: from Hölder continuity to continuity. (English. Russian original) Zbl 1362.37014
Dokl. Math. 93, No. 1, 6-8 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 1, 12-15 (2016).
Fluctuations of observables in dynamical systems: from limit theorems to concentration inequalities. (English) Zbl 1360.37017
González-Aguilar, Hernán (ed.) et al., Nonlinear dynamics new directions. Theoretical aspects. Cham: Springer (ISBN 978-3-319-09866-1/hbk; 978-3-319-09867-8/ebook). Nonlinear Systems and Complexity 11, 47-85 (2015).
Polynomial decay of correlations in linked-twist maps. (English) Zbl 1321.37007
Reviewer: Pengfei Zhang (Oxford, MS)
Polynomial decay of correlations in the generalized baker’s transformation. (English) Zbl 1275.37017
Rates of convergence in ergodic theorems for certain billiards and Anosov diffeomorphisms. (English. Russian original) Zbl 1328.37005
Dokl. Math. 88, No. 1, 385-387 (2013); translation from Dokl. Akad. Nauk, 451, No. 1, 11-13 (2013).
Reviewer: David Ralston (Westbury)
Quantifying intermittency in the open drivebelt billiard. (English) Zbl 1331.37052
MSC:
37D50
37M05
Scaling rate for semi-dispersing billiards with non-compact cusps. (English) Zbl 1261.37019
Reviewer: Eugene Gutkin (Torún)
Spectral gap for a class of random billiards. (English) Zbl 1316.37022
Reviewer: Hans Crauel (Frankfurt am Main)
Non-integrability of open billiard flows and Dolgopyat-type estimates. (English) Zbl 1323.37017
Reviewer: Xiang Zhang (Shanghai)
Limit theorems for dispersing billiards with cusps. (English) Zbl 1241.37005
Reviewer: Hongkun Zhang (Amherst)
MSC:
37D50
37D35
Survival probability for the stadium billiard. (English) Zbl 1180.37046
MSC:
37D50
On statistical properties of hyperbolic systems with singularities. (English) Zbl 1181.37052
Reviewer: Piotr Garbaczewski (Opole)
Large and moderate deviations for slowly mixing dynamical systems. (English) Zbl 1167.37020
Reviewer: Eugene Ershov (St. Petersburg)
Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows. (English) Zbl 1161.82016
MSC:
82C40
Regularity of Bunimovich’s stadia. (English) Zbl 1229.37031
MSC:
37D50
70H06
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