Bálint, Péter; Bruin, Henk; Terhesiu, Dalia Periodic Lorentz gas with small scatterers. (English) Zbl 1518.37011 Probab. Theory Relat. Fields 186, No. 1-2, 159-219 (2023). MSC: 37A60 37A50 82C05 82C40 PDFBibTeX XMLCite \textit{P. Bálint} et al., Probab. Theory Relat. Fields 186, No. 1--2, 159--219 (2023; Zbl 1518.37011) Full Text: DOI arXiv
Bálint, Péter; Gilbert, Thomas; Szász, Domokos; Tóth, Imre Péter What mathematical billiards teach us about statistical physics? (English) Zbl 1476.37016 Pure Appl. Funct. Anal. 6, No. 1, 1-35 (2021). MSC: 37A60 37C83 82B03 82B05 PDFBibTeX XMLCite \textit{P. Bálint} et al., Pure Appl. Funct. Anal. 6, No. 1, 1--35 (2021; Zbl 1476.37016) Full Text: arXiv Link
Bálint, Péter; De Simoi, Jacopo; Kaloshin, Vadim; Leguil, Martin Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards. (English) Zbl 1439.37030 Commun. Math. Phys. 374, No. 3, 1531-1575 (2020). MSC: 37C83 37D25 PDFBibTeX XMLCite \textit{P. Bálint} et al., Commun. Math. Phys. 374, No. 3, 1531--1575 (2020; Zbl 1439.37030) Full Text: DOI arXiv
Bálint, Péter; Keller, Gerhard; Sélley, Fanni M.; Péter Tóth, Imre Synchronization versus stability of the invariant distribution for a class of globally coupled maps. (English) Zbl 1393.37053 Nonlinearity 31, No. 8, 3770-3793 (2018). MSC: 37E10 37D50 82C20 PDFBibTeX XMLCite \textit{P. Bálint} et al., Nonlinearity 31, No. 8, 3770--3793 (2018; Zbl 1393.37053) Full Text: DOI arXiv
Bálint, Péter; Nándori, Péter; Szász, Domokos; Tóth, Imre Péter Equidistribution for standard pairs in planar dispersing billiard flows. (English) Zbl 1412.82031 Ann. Henri Poincaré 19, No. 4, 979-1042 (2018). Reviewer: Silvia Caprino (Roma) MSC: 82C31 37D50 PDFBibTeX XMLCite \textit{P. Bálint} et al., Ann. Henri Poincaré 19, No. 4, 979--1042 (2018; Zbl 1412.82031) Full Text: DOI arXiv
Bálint, P.; Chernov, N.; Dolgopyat, D. 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) MSC: 37A50 37A05 37D50 37D45 PDFBibTeX XMLCite \textit{P. Bálint} et al., Contemp. Math. 698, 35--67 (2017; Zbl 1415.37011) Full Text: DOI Link
Bálint, Péter; Gilbert, Thomas; Nándori, Péter; Szász, Domokos; Tóth, Imre Péter On the limiting Markov process of energy exchanges in a rarely interacting ball-piston gas. (English) Zbl 1369.82033 J. Stat. Phys. 166, No. 3-4, 903-925 (2017). Reviewer: Guy Jumarie (Montréal) MSC: 82C70 82C40 37D50 60J75 82D20 PDFBibTeX XMLCite \textit{P. Bálint} et al., J. Stat. Phys. 166, No. 3--4, 903--925 (2017; Zbl 1369.82033) Full Text: DOI arXiv
Bálint, Péter; Varga, András Némedy The flow of two falling balls mixes rapidly. (English) Zbl 1418.37066 Nonlinearity 29, No. 9, 2537-2564 (2016). MSC: 37D50 37A25 37C25 PDFBibTeX XMLCite \textit{P. Bálint} and \textit{A. N. Varga}, Nonlinearity 29, No. 9, 2537--2564 (2016; Zbl 1418.37066) Full Text: DOI arXiv
Bálint, Péter; Tóth, Imre Péter Example for exponential growth of complexity in a finite horizon multi-dimensional dispersing billiard. (English) Zbl 1347.37068 Nonlinearity 25, No. 5, 1275-1297 (2012). MSC: 37D50 PDFBibTeX XMLCite \textit{P. Bálint} and \textit{I. P. Tóth}, Nonlinearity 25, No. 5, 1275--1297 (2012; Zbl 1347.37068) Full Text: DOI Link
Bálint, P.; Chernov, N.; Dolgopyat, D. Limit theorems for dispersing billiards with cusps. (English) Zbl 1241.37005 Commun. Math. Phys. 308, No. 2, 479-510 (2011). Reviewer: Hongkun Zhang (Amherst) MSC: 37D50 37D35 PDFBibTeX XMLCite \textit{P. Bálint} et al., Commun. Math. Phys. 308, No. 2, 479--510 (2011; Zbl 1241.37005) Full Text: DOI
Bálint, Péter; Halász, Miklós; Hernández-Tahuilán, Jorge A.; Sanders, David P. Chaos and stability in a two-parameter family of convex billiard tables. (English) Zbl 1223.37046 Nonlinearity 24, No. 5, 1499-1521 (2011). Reviewer: Hongkun Zhang (Amherst) MSC: 37D50 37A25 37J40 37M25 PDFBibTeX XMLCite \textit{P. Bálint} et al., Nonlinearity 24, No. 5, 1499--1521 (2011; Zbl 1223.37046) Full Text: DOI arXiv
Bálint, Péter; Melbourne, Ian Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows. (English) Zbl 1161.82016 J. Stat. Phys. 133, No. 3, 435-447 (2008). MSC: 82C40 PDFBibTeX XMLCite \textit{P. Bálint} and \textit{I. Melbourne}, J. Stat. Phys. 133, No. 3, 435--447 (2008; Zbl 1161.82016) Full Text: DOI arXiv
Bálint, Péter; Tóth, Imre Péter Exponential decay of correlations in multi-dimensional dispersing billiards. (English) Zbl 1162.37018 Ann. Henri Poincaré 9, No. 7, 1309-1369 (2008). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37D50 82C40 37A60 PDFBibTeX XMLCite \textit{P. Bálint} and \textit{I. P. Tóth}, Ann. Henri Poincaré 9, No. 7, 1309--1369 (2008; Zbl 1162.37018) Full Text: DOI
Bachurin, Pavel; Bálint, Péter; Tóth, Imre Péter Local ergodicity for systems with growth properties including multi-dimensional dispersing billiards. (English) Zbl 1162.37004 Isr. J. Math. 167, 155-175 (2008). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37A25 37D50 PDFBibTeX XMLCite \textit{P. Bachurin} et al., Isr. J. Math. 167, 155--175 (2008; Zbl 1162.37004) Full Text: DOI
Bálint, Péter; Gouëzel, Sébastien Limit theorems in the stadium billiard. (English) Zbl 1170.37314 Commun. Math. Phys. 263, No. 2, 461-512 (2006). MSC: 37D50 37A60 PDFBibTeX XMLCite \textit{P. Bálint} and \textit{S. Gouëzel}, Commun. Math. Phys. 263, No. 2, 461--512 (2006; Zbl 1170.37314) Full Text: DOI arXiv
Bálint, Péter; Tóth, Imre Péter Hyperbolicity in multi-dimensional Hamiltonian systems with applications to soft billiards. (English) Zbl 1106.37028 Discrete Contin. Dyn. Syst. 15, No. 1, 37-59 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37D50 37J10 PDFBibTeX XMLCite \textit{P. Bálint} and \textit{I. P. Tóth}, Discrete Contin. Dyn. Syst. 15, No. 1, 37--59 (2006; Zbl 1106.37028) Full Text: DOI
Bálint, Péter; Troubetzkoy, Serge Rotor interaction in the annulus billiard. (English) Zbl 1103.37023 J. Stat. Phys. 117, No. 3-4, 681-702 (2004). MSC: 37D50 37A60 37N20 82C05 PDFBibTeX XMLCite \textit{P. Bálint} and \textit{S. Troubetzkoy}, J. Stat. Phys. 117, No. 3--4, 681--702 (2004; Zbl 1103.37023) Full Text: DOI arXiv
Bálint, Péter; Troubetzkoy, Serge Ergodicity of two hard balls in integrable polygons. (English) Zbl 1070.37017 Nonlinearity 17, No. 6, 2069-2090 (2004). Reviewer: Mike Hurley (Cleveland) MSC: 37D50 37A25 PDFBibTeX XMLCite \textit{P. Bálint} and \textit{S. Troubetzkoy}, Nonlinearity 17, No. 6, 2069--2090 (2004; Zbl 1070.37017) Full Text: DOI arXiv
Bálint, Péter; Tóth, Imre Péter Mixing and its rate in ‘soft’ and ‘hard’ billiards motivated by the Lorentz process. (English) Zbl 1054.82010 Physica D 187, No. 1-4, 128-135 (2004). MSC: 82C05 37D50 37N20 PDFBibTeX XMLCite \textit{P. Bálint} and \textit{I. P. Tóth}, Physica D 187, No. 1--4, 128--135 (2004; Zbl 1054.82010) Full Text: DOI
Bálint, Péter; Chernov, Nikolai; Szász, Domokos; Tóth, Imre Péter Geometry of multi-dimensional dispersing billiards. (English) Zbl 1060.37030 de Melo, Welington (ed.) et al., Geometric methods in dynamics (I). Volume in honor of Jacob Palis. In part papers presented at the international conference on dynamical systems held at IMPA, Rio de Janeiro, Brazil, July 2000, to celebrate Jacob Palis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-138-4/pbk). Astérisque 286, 119-150 (2003). Reviewer: Hans Crauel (Ilmenau) MSC: 37D50 37A60 37N20 37D10 PDFBibTeX XMLCite \textit{P. Bálint} et al., Astérisque 286, 119--150 (2003; Zbl 1060.37030)
Bálint, Péter; Tóth, Imre Péter Correlation decay in certain soft billiards. (English) Zbl 1078.37028 Commun. Math. Phys. 243, No. 1, 55-91 (2003). MSC: 37D50 37A25 82C05 PDFBibTeX XMLCite \textit{P. Bálint} and \textit{I. P. Tóth}, Commun. Math. Phys. 243, No. 1, 55--91 (2003; Zbl 1078.37028) Full Text: DOI
Bálint, P.; Chernov, N.; Szász, D.; Tóth, I. P. Multi-dimensional semi-dispersing billiards: Singularities and the Fundamental theorem. (English) Zbl 1028.37023 Ann. Henri Poincaré 3, No. 3, 451-482 (2002). MSC: 37D50 37A25 37A60 82C05 PDFBibTeX XMLCite \textit{P. Bálint} et al., Ann. Henri Poincaré 3, No. 3, 451--482 (2002; Zbl 1028.37023) Full Text: DOI
Bálint, Péter Chaotic and ergodic properties of cylindric billiards. (English) Zbl 0954.37018 Ergodic Theory Dyn. Syst. 19, No. 5, 1127-1156 (1999). Reviewer: Emilia Petrisor (Timişoara) MSC: 37D20 37D50 37D45 37A25 PDFBibTeX XMLCite \textit{P. Bálint}, Ergodic Theory Dyn. Syst. 19, No. 5, 1127--1156 (1999; Zbl 0954.37018) Full Text: DOI