Nándori, Péter; Teolis, Trevor Local equilibrium of particle density in planar Lorentz processes. (English) Zbl 1476.37017 Nonlinearity 34, No. 9, 6210-6247 (2021). MSC: 37A60 37A50 37C83 82C05 PDF BibTeX XML Cite \textit{P. Nándori} and \textit{T. Teolis}, Nonlinearity 34, No. 9, 6210--6247 (2021; Zbl 1476.37017) Full Text: DOI OpenURL
Pène, Françoise; Terhesiu, Dalia Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon. (English) Zbl 1466.37008 Commun. Math. Phys. 382, No. 3, 1625-1689 (2021). MSC: 37A60 37A50 37C83 37D35 82D05 PDF BibTeX XML Cite \textit{F. Pène} and \textit{D. Terhesiu}, Commun. Math. Phys. 382, No. 3, 1625--1689 (2021; Zbl 1466.37008) Full Text: DOI arXiv OpenURL
Andrade, Rodrigo M. D. Bernoulli property for some hyperbolic billiards. (English) Zbl 1451.37034 Regul. Chaotic Dyn. 25, No. 4, 349-382 (2020). Reviewer: Daniel Jaud (München) MSC: 37C83 37A30 37A50 PDF BibTeX XML Cite \textit{R. M. D. Andrade}, Regul. Chaotic Dyn. 25, No. 4, 349--382 (2020; Zbl 1451.37034) Full Text: DOI OpenURL
Fétique, Ninon Explicit speed of convergence of the stochastic billiard in a convex set. (English) Zbl 1453.37009 Donati-Martin, Catherine (ed.) et al., Séminaire de probabilités L. Cham: Springer. Lect. Notes Math. 2252, 519-560 (2019). Reviewer: George Stoica (Saint John) MSC: 37A50 37C83 37H10 52A10 PDF BibTeX XML Cite \textit{N. Fétique}, Lect. Notes Math. 2252, 519--560 (2019; Zbl 1453.37009) Full Text: DOI arXiv OpenURL
Conze, Jean-Pierre; Isola, Stefano; Le Borgne, Stéphane Diffusive behavior of ergodic sums over rotations. (English) Zbl 1473.37051 Stoch. Dyn. 19, No. 2, Article ID 1950016, 26 p. (2019). MSC: 37E10 37E45 37A30 37A50 PDF BibTeX XML Cite \textit{J.-P. Conze} et al., Stoch. Dyn. 19, No. 2, Article ID 1950016, 26 p. (2019; Zbl 1473.37051) Full Text: DOI arXiv OpenURL
Burdzy, Krzysztof; Gauthier, Carl-Erik Knudsen gas in flat tire. (English) Zbl 1409.60048 Ann. Appl. Probab. 29, No. 1, 217-263 (2019). MSC: 60F17 37D50 60G40 60G42 60G44 60J05 60J25 PDF BibTeX XML Cite \textit{K. Burdzy} and \textit{C.-E. Gauthier}, Ann. Appl. Probab. 29, No. 1, 217--263 (2019; Zbl 1409.60048) Full Text: DOI arXiv Euclid OpenURL
Baladi, Viviane; Demers, Mark F.; Liverani, Carlangelo Exponential decay of correlations for finite horizon Sinai billiard flows. (English) Zbl 1382.37037 Invent. Math. 211, No. 1, 39-177 (2018). Reviewer: George Stoica (Saint John) MSC: 37D50 37A50 37C30 PDF BibTeX XML Cite \textit{V. Baladi} et al., Invent. Math. 211, No. 1, 39--177 (2018; Zbl 1382.37037) Full Text: DOI arXiv OpenURL
Nyzhnyk, I. L. Irregular diffusion in dynamical systems with reflection. (Ukrainian. English summary) Zbl 1399.37026 Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 3, 271-292 (2017). MSC: 37D50 82C70 PDF BibTeX XML Cite \textit{I. L. Nyzhnyk}, Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 3, 271--292 (2017; Zbl 1399.37026) OpenURL
Carney, Meagan; Nicol, Matthew; Zhang, Hong-Kun Compound Poisson law for hitting times to periodic orbits in two-dimensional hyperbolic systems. (English) Zbl 1385.37049 J. Stat. Phys. 169, No. 4, 804-823 (2017). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37D50 60G70 37A50 37A25 PDF BibTeX XML Cite \textit{M. Carney} et al., J. Stat. Phys. 169, No. 4, 804--823 (2017; Zbl 1385.37049) Full Text: DOI arXiv OpenURL
Leppänen, Juho; Stenlund, Mikko A note on the finite-dimensional distributions of dispersing billiard processes. (English) Zbl 1379.37014 J. Stat. Phys. 168, No. 1, 128-145 (2017). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37A50 37A60 37D20 37A25 37D50 PDF BibTeX XML Cite \textit{J. Leppänen} and \textit{M. Stenlund}, J. Stat. Phys. 168, No. 1, 128--145 (2017; Zbl 1379.37014) Full Text: DOI arXiv Link OpenURL
Kachurovskii, Aleksandr G.; Podvigin, Ivan V. 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) MSC: 37A30 37D20 37D50 60G10 PDF BibTeX XML Cite \textit{A. G. Kachurovskii} and \textit{I. V. Podvigin}, Trans. Mosc. Math. Soc. 2016, 1--53 (2016; Zbl 1370.37014); translation from Tr. Mosk. Mat. O.-va 77, No. 1, 1--66 (2016) Full Text: DOI OpenURL
Dolgopyat, Dmitry; Nándori, Péter Nonequilibrium density profiles in Lorentz tubes with thermostated boundaries. (English) Zbl 1367.37006 Commun. Pure Appl. Math. 69, No. 4, 649-692 (2016). Reviewer: Giovanni Mascali (Arcavacata di Rende) MSC: 37A60 37D50 37A50 82C70 35K05 60J65 PDF BibTeX XML Cite \textit{D. Dolgopyat} and \textit{P. Nándori}, Commun. Pure Appl. Math. 69, No. 4, 649--692 (2016; Zbl 1367.37006) Full Text: DOI arXiv OpenURL
Gomez, Ignacio; Castagnino, Mario A quantum version of spectral decomposition theorem of dynamical systems, quantum chaos hierarchy: ergodic, mixing and exact. (English) Zbl 1351.37025 Chaos Solitons Fractals 70, 99-116 (2015). MSC: 37A30 37A50 81Q10 PDF BibTeX XML Cite \textit{I. Gomez} and \textit{M. Castagnino}, Chaos Solitons Fractals 70, 99--116 (2015; Zbl 1351.37025) Full Text: DOI arXiv OpenURL
Markarian, R.; Rolla, L. T.; Sidoravicius, V.; Tal, F. A.; Vares, M. E. Stochastic perturbations of convex billiards. (English) Zbl 1358.37071 Nonlinearity 28, No. 12, 4425-4434 (2015). MSC: 37D50 37E40 60J05 37H10 PDF BibTeX XML Cite \textit{R. Markarian} et al., Nonlinearity 28, No. 12, 4425--4434 (2015; Zbl 1358.37071) Full Text: DOI arXiv Link OpenURL
Chernov, N.; Korepanov, A. Spatial structure of Sinai-Ruelle-Bowen measures. (English) Zbl 1349.37005 Physica D 285, 1-7 (2014). MSC: 37A50 37D50 37M05 PDF BibTeX XML Cite \textit{N. Chernov} and \textit{A. Korepanov}, Physica D 285, 1--7 (2014; Zbl 1349.37005) Full Text: DOI arXiv OpenURL
Feres, Renato; Ng, Jasmine; Zhang, Hong-Kun Multiple scattering in random mechanical systems and diffusion approximation. (English) Zbl 1282.37012 Commun. Math. Phys. 323, No. 2, 713-745 (2013). Reviewer: Piotr Garbaczewski (Opole) MSC: 37A60 37A50 82C31 60J10 65C35 60J50 82C41 PDF BibTeX XML Cite \textit{R. Feres} et al., Commun. Math. Phys. 323, No. 2, 713--745 (2013; Zbl 1282.37012) Full Text: DOI arXiv OpenURL
Dingle, Kamaludin; Lamb, Jeroen S. W.; Lázaro-Camí, Joan-Andreu Knudsen’s law and random billiards in irrational triangles. (English) Zbl 1320.37026 Nonlinearity 26, No. 2, 369-388 (2013). Reviewer: Katarina Janková (Bratislava) MSC: 37H10 37Hxx 82B21 37D50 37M05 PDF BibTeX XML Cite \textit{K. Dingle} et al., Nonlinearity 26, No. 2, 369--388 (2013; Zbl 1320.37026) Full Text: DOI arXiv OpenURL
Bastien, Jérôme; Bernardin, Frédéric; Lamarque, Claude-Henri Non-smooth deterministic or stochastic discrete dynamical systems. Applications to models with friction or impact. (English) Zbl 1280.70001 Mechanical Engineering and Solid Mechanics Series. London: ISTE; Hoboken, NJ: John Wiley & Sons (ISBN 978-1-84821-525-2/hbk; 978-1-118-60404-5/ebook). xvi, 496 p. (2013). Reviewer: Vladimir Evgenievich Puzyrev (Donetsk) MSC: 70-02 70F40 74M10 74M20 74S60 PDF BibTeX XML Cite \textit{J. Bastien} et al., Non-smooth deterministic or stochastic discrete dynamical systems. Applications to models with friction or impact. London: ISTE; Hoboken, NJ: John Wiley \& Sons (2013; Zbl 1280.70001) Full Text: DOI OpenURL
Comets, Francis; Popov, Serguei Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards. (English. French summary) Zbl 1247.60139 Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 3, 721-744 (2012). MSC: 60K37 37D50 60J25 PDF BibTeX XML Cite \textit{F. Comets} and \textit{S. Popov}, Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 3, 721--744 (2012; Zbl 1247.60139) Full Text: DOI arXiv Euclid OpenURL
Gupta, Chinmaya; Holland, Mark; Nicol, Matthew Extreme value theory and return time statistics for dispersing billiard maps and flows, Lozi maps and Lorenz-like maps. (English) Zbl 1243.37009 Ergodic Theory Dyn. Syst. 31, No. 5, 1363-1390 (2011). Reviewer: Hans Crauel (Frankfurt am Main) MSC: 37A50 37D50 60G70 62G32 PDF BibTeX XML Cite \textit{C. Gupta} et al., Ergodic Theory Dyn. Syst. 31, No. 5, 1363--1390 (2011; Zbl 1243.37009) Full Text: DOI OpenURL
Beck, József Deterministic approach to the kinetic theory of gases. (English) Zbl 1197.82089 J. Stat. Phys. 138, No. 1-3, 160-269 (2010). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 60G99 PDF BibTeX XML Cite \textit{J. Beck}, J. Stat. Phys. 138, No. 1--3, 160--269 (2010; Zbl 1197.82089) Full Text: DOI OpenURL
Matzkin, A. Bohmian mechanics, the quantum-classical correspondence and the classical limit: The case of the square billiard. (English) Zbl 1181.81058 Found. Phys. 39, No. 8, 903-920 (2009). MSC: 81Q65 81P05 81P20 PDF BibTeX XML Cite \textit{A. Matzkin}, Found. Phys. 39, No. 8, 903--920 (2009; Zbl 1181.81058) Full Text: DOI arXiv OpenURL
Chazottes, J.-R.; Gouëzel, S. On almost-sure versions of classical limit theorems for dynamical systems. (English) Zbl 1126.60025 Probab. Theory Relat. Fields 138, No. 1-2, 195-234 (2007). MSC: 60F15 37A50 PDF BibTeX XML Cite \textit{J. R. Chazottes} and \textit{S. Gouëzel}, Probab. Theory Relat. Fields 138, No. 1--2, 195--234 (2007; Zbl 1126.60025) Full Text: DOI arXiv OpenURL
Szász, Domokos; Varjú, Tamás Markov towers and stochastic properties of billiards. (English) Zbl 1147.37330 Brin, Michael (ed.) et al., Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Cambridge: Cambridge University Press (ISBN 0-521-84073-2/hbk). 433-445 (2004). MSC: 37D50 60F05 37A50 37A60 37B20 PDF BibTeX XML Cite \textit{D. Szász} and \textit{T. Varjú}, in: Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Cambridge: Cambridge University Press. 433--445 (2004; Zbl 1147.37330) Full Text: arXiv OpenURL
Najdenov, S. V.; Yanovskij, V. V. Geometrical features of nonlinear dynamic systems with elastic reflections. I: Billiard and its involution. (Russian) Zbl 1046.60095 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 10, No. 1-2, 113-126 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 60K35 82C43 37D50 PDF BibTeX XML Cite \textit{S. V. Najdenov} and \textit{V. V. Yanovskij}, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 10, No. 1--2, 113--126 (2002; Zbl 1046.60095) OpenURL
Bar, D. Effect of dense measurement in classical systems. (English) Zbl 0972.70014 Physica A 292, No. 1-4, 494-508 (2001). MSC: 70F35 81P20 81P15 PDF BibTeX XML Cite \textit{D. Bar}, Physica A 292, No. 1--4, 494--508 (2001; Zbl 0972.70014) Full Text: DOI OpenURL
Loskutov, A.; Ryabov, A. B.; Akinshin, L. G. Properties of some chaotic billiards with time-dependent boundaries. (English) Zbl 0978.82076 J. Phys. A, Math. Gen. 33, No. 44, 7973-7986 (2000). MSC: 82C40 37D50 82C05 PDF BibTeX XML Cite \textit{A. Loskutov} et al., J. Phys. A, Math. Gen. 33, No. 44, 7973--7986 (2000; Zbl 0978.82076) Full Text: DOI Link OpenURL
Eleonsky, V. M.; Korolev, V. G.; Kulagin, N. E. On chaotic dynamics in “pseudobilliard” Hamiltonian systems with two degrees of freedom. (English) Zbl 0933.37033 Chaos 7, No. 4, 710-730 (1997). MSC: 37D45 37D50 37J05 37J20 37J40 PDF BibTeX XML Cite \textit{V. M. Eleonsky} et al., Chaos 7, No. 4, 710--730 (1997; Zbl 0933.37033) Full Text: DOI OpenURL
Aivazyan, A. V.; Lyubimova, M. L. The spectrum of stochastic motion in near-circular magnetic billiards. (English. Russian original) Zbl 0953.37003 Phys.-Dokl. 42, No. 12, 641-645 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 357, No. 4, 467-471 (1997). Reviewer: George S.Stavrakakis (Chania) MSC: 37D50 37H99 81Q50 PDF BibTeX XML Cite \textit{A. V. Aivazyan} and \textit{M. L. Lyubimova}, Phys.-Dokl. 42, No. 12, 641--645 (1997; Zbl 0953.37003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 357, No. 4, 467--471 (1997) OpenURL
Płoszajczak, M.; Srokowski, T. Langevin equation with the deterministic algebraically correlated noise. (English) Zbl 0870.60055 Ann. Phys. 249, No. 1, 236-264 (1996). MSC: 60H10 60K40 82C21 PDF BibTeX XML Cite \textit{M. Płoszajczak} and \textit{T. Srokowski}, Ann. Phys. 249, No. 1, 236--264 (1996; Zbl 0870.60055) Full Text: DOI Link OpenURL
Elyutin, P. V.; Ostrovskaya, E. A. The spectrum of stochastic motion on a nearly circular billiard table. (English. Russian original) Zbl 0827.58031 Phys.-Dokl. 38, No. 4, 154-156 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 5, 575-577 (1993). Reviewer: A.Klíč (Praha) MSC: 37A99 82C31 37A30 37J99 37D45 PDF BibTeX XML Cite \textit{P. V. Elyutin} and \textit{E. A. Ostrovskaya}, Phys.-Dokl. 38, No. 4, 1 (1993; Zbl 0827.58031); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 5, 575--577 (1993) OpenURL
Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I. Statistical properties of two-dimensional hyperbolic billiards. (English. Russian original) Zbl 0780.58029 Russ. Math. Surv. 46, No. 4, 47-106 (1991); translation from Usp. Mat. Nauk 46, No. 4(280), 43-92 (1991). MSC: 37A50 37A60 37D99 37D40 PDF BibTeX XML Full Text: DOI OpenURL
Bunimovich, L. A.; Sinaĭ, Ya. G.; Chernov, N. I. Statistical properties of two-dimensional hyperbolic billiards. (Russian) Zbl 0748.58014 Usp. Mat. Nauk 46, No. 4(280), 43-92 (1991). Reviewer: A.Klíč (Praha) MSC: 37A50 37D50 37D40 53D25 PDF BibTeX XML Cite \textit{L. A. Bunimovich} et al., Usp. Mat. Nauk 46, No. 4(280), 43--92 (1991; Zbl 0748.58014) OpenURL
Tebay, S.; Biddle, D. Solution of question 5200. (Solution of question 5200.) (English) JFM 17.0178.03 Ed. Times XLII. 91-95 (1885). Reviewer: Lampe, Prof. (Berlin) MSC: 60D05 PDF BibTeX XML OpenURL