Hongkun Zhang - Author Profile

Edit Profile

Zhang, Hongkun

Author ID:	zhang.hongkun
Published as:	Zhang, Hong-Kun; Zhang, Hongkun; Zhang, H.-K.; Zhang, H. K. more...less
Homepage:	https://people.math.umass.edu/~hongkun/
External Links:	MGP · ORCID
Videos:	carmin.tv

Documents Indexed:	59 Publications since 2003, including 6 Additional arXiv Preprints
	1 Contribution as Editor
Reviewing Activity:	21 Reviews
Co-Authors:	35 Co-Authors with 47 Joint Publications
	1,030 Co-Co-Authors

all top 5

Co-Authors

7	single-authored
9	Lian, Jinguo
6	Chen, Jianyu
6	Chernov, Nikolai Ivanovich
6	Demers, Mark F.
5	Feres, Renato
4	Zhang, Pengfei
3	Pène, Françoise
3	Wang, Fang
2	Bunimovich, Leonid Abramovich
2	Cox, Christopher Lee
2	de Fátima Correia, Maria
2	Gao, Yixian
2	Geng, Ru
2	Misiurewicz, Michał
2	Mohr, Luke
2	Zu, Jian
1	Azamov, Abdulla Azamovich
1	Carney, Meagan
1	Chen, Jingyu
1	Chumley, Timothy
1	Climenhaga, Vaughn
1	Du, Jiayin
1	Dzhalilov, Akhtam Abdurakhmanovich
1	Kaloshin, Vadim Yu.
1	Kauffman, Robert M.
1	Kevrekidis, Panayotis G.
1	Li, Yong
1	Lima, Yuri
1	Melbourne, Ian
1	Ng, Jasmine
1	Nicol, Matthew
1	Rey-Bellet, Luc
1	Stenlund, Mikko
1	Sun, Jiong
1	Vaienti, Sandro
1	Varandas, Paulo
1	Wang, Tonghui
1	Wei, Zheng
1	Yang, Yun
1	Young, Lai-Sang
1	Zhang, Yiwei
1	Zhang, Zijing

all top 5

Serials

11	Communications in Mathematical Physics
6	Journal of Statistical Physics
5	Nonlinearity
3	Journal of Inner Mongolia Normal University. Natural Science Edition
2	Acta Mathematicae Applicatae Sinica. English Series
2	Discrete and Continuous Dynamical Systems
2	Chaos
2	Nonlinear Functional Analysis and Applications
2	Stochastics and Dynamics
1	Rocky Mountain Journal of Mathematics
1	Transactions of the American Mathematical Society
1	American Journal of Mathematical and Management Sciences
1	Journal of Dynamics and Differential Equations
1	Applied and Computational Harmonic Analysis
1	Regular and Chaotic Dynamics
1	Annales Henri Poincaré
1	Applied Mathematics E-Notes
1	Journal of Modern Dynamics
1	International Journal of Biomathematics
1	International Journal of Nonlinear Science
1	Springer Proceedings in Mathematics & Statistics
1	Pure and Applied Functional Analysis

all top 5

Fields

45	Dynamical systems and ergodic theory (37-XX)
11	Probability theory and stochastic processes (60-XX)
8	Ordinary differential equations (34-XX)
7	Statistical mechanics, structure of matter (82-XX)
3	Partial differential equations (35-XX)
3	Statistics (62-XX)
3	Biology and other natural sciences (92-XX)
2	Operator theory (47-XX)
2	Differential geometry (53-XX)
2	Mechanics of particles and systems (70-XX)
1	General and overarching topics; collections (00-XX)
1	Combinatorics (05-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Numerical analysis (65-XX)
1	Fluid mechanics (76-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

37 Publications have been cited 371 times in 190 Documents	Cited by ▼	Year ▼
Billiards with polynomial mixing rates. Zbl 1143.37314 Chernov, N.; Zhang, H.-K.	67	2005
Improved estimates for correlations in billiards. Zbl 1143.37024 Chernov, N.; Zhang, H.-K.	38	2008
Spectral analysis of the transfer operator for the Lorentz gas. Zbl 1321.37034 Demers, Mark F.; Zhang, Hong-Kun	36	2011
A functional analytic approach to perturbations of the Lorentz gas. Zbl 1385.37050 Demers, Mark F.; Zhang, Hong-Kun	33	2013
A family of chaotic billiards with variable mixing rates. Zbl 1111.37029 Chernov, N.; Zhang, H.-K.	26	2005
Spectral analysis of hyperbolic systems with singularities. Zbl 1347.37070 Demers, Mark F.; Zhang, Hong-Kun	23	2014
Dispersing billiards with moving scatterers. Zbl 1304.37024 Stenlund, Mikko; Young, Lai-Sang; Zhang, Hongkun	21	2013
On statistical properties of hyperbolic systems with singularities. Zbl 1181.37052 Chernov, Nikolai; Zhang, Hong-Kun	20	2009
Current in periodic Lorentz gases with twists. Zbl 1247.37031 Zhang, Hong-Kun	11	2011
On another edge of defocusing: hyperbolicity of asymmetric lemon billiards. Zbl 1418.37067 Bunimovich, Leonid; Zhang, Hong-Kun; Zhang, Pengfei	8	2016
The spectrum of the billiard Laplacian of a family of random billiards. Zbl 1205.82037 Feres, Renato; Zhang, Hong-Kun	8	2010
Ergodicity of the generalized lemon billiards. Zbl 1331.37006 Chen, Jingyu; Mohr, Luke; Zhang, Hong-Kun; Zhang, Pengfei	7	2013
Spectral gap for a class of random billiards. Zbl 1316.37022 Feres, Renato; Zhang, Hong-Kun	7	2012
Decay of correlations for billiards with flat points. II: Cusps effect. Zbl 1398.37035 Zhang, Hong-Kun	6	2017
Diffusivity in multiple scattering systems. Zbl 1332.60134 Chumley, Timothy; Feres, Renato; Zhang, Hong-Kun	5	2016
Stable laws for chaotic billiards with cusps at flat points. Zbl 1407.37058 Jung, Paul; Zhang, Hong-Kun	5	2018
Local limit theorem for randomly deforming billiards. Zbl 1473.37033 Demers, Mark F.; Pène, Françoise; Zhang, Hong-Kun	4	2020
Compound Poisson law for hitting times to periodic orbits in two-dimensional hyperbolic systems. Zbl 1385.37049 Carney, Meagan; Nicol, Matthew; Zhang, Hong-Kun	4	2017
Convergence to \(\alpha\)-stable Lévy motion for chaotic billiards with several cusps at flat points. Zbl 1473.37036 Jung, Paul; Pène, Françoise; Zhang, Hong-Kun	4	2020
Multiple scattering in random mechanical systems and diffusion approximation. Zbl 1282.37012 Feres, Renato; Ng, Jasmine; Zhang, Hong-Kun	3	2013
A class of ordinary differential operators with jump boundary conditions. Zbl 1187.37042 Kauffman, Robert M.; Zhang, Hongkun	3	2003
Fluctuation of the entropy production for the Lorentz gas under small external forces. Zbl 1403.82016 Demers, Mark F.; Rey-Bellet, Luc; Zhang, Hong-Kun	3	2018
Non-stationary almost sure invariance principle for hyperbolic systems with singularities. Zbl 1401.37044 Chen, Jianyu; Yang, Yun; Zhang, Hong-Kun	3	2018
Stability and ergodicity of Moon billiards. Zbl 1374.37058 Correia, Maria F.; Zhang, Hong-Kun	3	2015
Free path of billiards with flat points. Zbl 1256.37029 Zhang, Hong-Kun	3	2012
Stability of periodic orbits in no-slip billiards. Zbl 1396.37045 Cox, C.; Feres, R.; Zhang, H.-K.	3	2018
Decay of correlations on non-Hölder observables. Zbl 1231.37022 Zhang, Hong-Kun	2	2010
Regularity of Bunimovich’s stadia. Zbl 1229.37031 Chernov, N.; Zhang, H.-K.	2	2007
Electrical current in Sinai billiards under general small forces. Zbl 1292.82013 Chernov, Nikolai; Zhang, Hong-Kun; Zhang, Pengfei	2	2013
Stability of \(T\)-periodic solution on the extended simplified Brusselator model. Zbl 1155.92018 Lian, Jin-Guo; Zhang, Hong-Kun	2	2008
Necessary and sufficient condition for \(\mathcal{M}_2\)-convergence to a Lévy process for billiards with cusps at flat points. Zbl 1481.37006 Jung, Paul; Melbourne, Ian; Pène, Françoise; Varandas, Paulo; Zhang, Hong-Kun	2	2021
Topological entropy of Bunimovich stadium billiards. Zbl 1476.37049 Misiurewicz, Michał; Zhang, Hong-Kun	2	2021
Mixing rate for rectangular billiards with diamond obstacles. Zbl 1260.37025 Zhang, Hong-Kun	1	2010
Lyapunov exponents and nonadapted measures for dispersing billiards. Zbl 1537.37035 Climenhaga, Vaughn; Demers, Mark F.; Lima, Yuri; Zhang, Hongkun	1	2024
Statistical properties of one-dimensional expanding maps with singularities of low regularity. Zbl 1422.37026 Chen, Jianyu; Zhang, Hong-Kun	1	2019
Decay of correlations for unbounded observables. Zbl 1477.37044 Wang, Fang; Zhang, Hong-Kun; Zhang, Pengfei	1	2021
Decay of correlations for billiards with flat points I: channel effects. Zbl 1398.37015 Zhang, Hong-Kun	1	2017
Lyapunov exponents and nonadapted measures for dispersing billiards. Zbl 1537.37035 Climenhaga, Vaughn; Demers, Mark F.; Lima, Yuri; Zhang, Hongkun	1	2024
Necessary and sufficient condition for \(\mathcal{M}_2\)-convergence to a Lévy process for billiards with cusps at flat points. Zbl 1481.37006 Jung, Paul; Melbourne, Ian; Pène, Françoise; Varandas, Paulo; Zhang, Hong-Kun	2	2021
Topological entropy of Bunimovich stadium billiards. Zbl 1476.37049 Misiurewicz, Michał; Zhang, Hong-Kun	2	2021
Decay of correlations for unbounded observables. Zbl 1477.37044 Wang, Fang; Zhang, Hong-Kun; Zhang, Pengfei	1	2021
Local limit theorem for randomly deforming billiards. Zbl 1473.37033 Demers, Mark F.; Pène, Françoise; Zhang, Hong-Kun	4	2020
Convergence to \(\alpha\)-stable Lévy motion for chaotic billiards with several cusps at flat points. Zbl 1473.37036 Jung, Paul; Pène, Françoise; Zhang, Hong-Kun	4	2020
Statistical properties of one-dimensional expanding maps with singularities of low regularity. Zbl 1422.37026 Chen, Jianyu; Zhang, Hong-Kun	1	2019
Stable laws for chaotic billiards with cusps at flat points. Zbl 1407.37058 Jung, Paul; Zhang, Hong-Kun	5	2018
Fluctuation of the entropy production for the Lorentz gas under small external forces. Zbl 1403.82016 Demers, Mark F.; Rey-Bellet, Luc; Zhang, Hong-Kun	3	2018
Non-stationary almost sure invariance principle for hyperbolic systems with singularities. Zbl 1401.37044 Chen, Jianyu; Yang, Yun; Zhang, Hong-Kun	3	2018
Stability of periodic orbits in no-slip billiards. Zbl 1396.37045 Cox, C.; Feres, R.; Zhang, H.-K.	3	2018
Decay of correlations for billiards with flat points. II: Cusps effect. Zbl 1398.37035 Zhang, Hong-Kun	6	2017
Compound Poisson law for hitting times to periodic orbits in two-dimensional hyperbolic systems. Zbl 1385.37049 Carney, Meagan; Nicol, Matthew; Zhang, Hong-Kun	4	2017
Decay of correlations for billiards with flat points I: channel effects. Zbl 1398.37015 Zhang, Hong-Kun	1	2017
On another edge of defocusing: hyperbolicity of asymmetric lemon billiards. Zbl 1418.37067 Bunimovich, Leonid; Zhang, Hong-Kun; Zhang, Pengfei	8	2016
Diffusivity in multiple scattering systems. Zbl 1332.60134 Chumley, Timothy; Feres, Renato; Zhang, Hong-Kun	5	2016
Stability and ergodicity of Moon billiards. Zbl 1374.37058 Correia, Maria F.; Zhang, Hong-Kun	3	2015
Spectral analysis of hyperbolic systems with singularities. Zbl 1347.37070 Demers, Mark F.; Zhang, Hong-Kun	23	2014
A functional analytic approach to perturbations of the Lorentz gas. Zbl 1385.37050 Demers, Mark F.; Zhang, Hong-Kun	33	2013
Dispersing billiards with moving scatterers. Zbl 1304.37024 Stenlund, Mikko; Young, Lai-Sang; Zhang, Hongkun	21	2013
Ergodicity of the generalized lemon billiards. Zbl 1331.37006 Chen, Jingyu; Mohr, Luke; Zhang, Hong-Kun; Zhang, Pengfei	7	2013
Multiple scattering in random mechanical systems and diffusion approximation. Zbl 1282.37012 Feres, Renato; Ng, Jasmine; Zhang, Hong-Kun	3	2013
Electrical current in Sinai billiards under general small forces. Zbl 1292.82013 Chernov, Nikolai; Zhang, Hong-Kun; Zhang, Pengfei	2	2013
Spectral gap for a class of random billiards. Zbl 1316.37022 Feres, Renato; Zhang, Hong-Kun	7	2012
Free path of billiards with flat points. Zbl 1256.37029 Zhang, Hong-Kun	3	2012
Spectral analysis of the transfer operator for the Lorentz gas. Zbl 1321.37034 Demers, Mark F.; Zhang, Hong-Kun	36	2011
Current in periodic Lorentz gases with twists. Zbl 1247.37031 Zhang, Hong-Kun	11	2011
The spectrum of the billiard Laplacian of a family of random billiards. Zbl 1205.82037 Feres, Renato; Zhang, Hong-Kun	8	2010
Decay of correlations on non-Hölder observables. Zbl 1231.37022 Zhang, Hong-Kun	2	2010
Mixing rate for rectangular billiards with diamond obstacles. Zbl 1260.37025 Zhang, Hong-Kun	1	2010
On statistical properties of hyperbolic systems with singularities. Zbl 1181.37052 Chernov, Nikolai; Zhang, Hong-Kun	20	2009
Improved estimates for correlations in billiards. Zbl 1143.37024 Chernov, N.; Zhang, H.-K.	38	2008
Stability of \(T\)-periodic solution on the extended simplified Brusselator model. Zbl 1155.92018 Lian, Jin-Guo; Zhang, Hong-Kun	2	2008
Regularity of Bunimovich’s stadia. Zbl 1229.37031 Chernov, N.; Zhang, H.-K.	2	2007
Billiards with polynomial mixing rates. Zbl 1143.37314 Chernov, N.; Zhang, H.-K.	67	2005
A family of chaotic billiards with variable mixing rates. Zbl 1111.37029 Chernov, N.; Zhang, H.-K.	26	2005
A class of ordinary differential operators with jump boundary conditions. Zbl 1187.37042 Kauffman, Robert M.; Zhang, Hongkun	3	2003

all cited Publications top 5 cited Publications

all top 5

Cited by 188 Authors

30	Zhang, Hongkun
19	Melbourne, Ian
15	Demers, Mark F.
12	Chernov, Nikolai Ivanovich
9	Bunimovich, Leonid Abramovich
9	Feres, Renato
8	Baladi, Viviane
8	Bálint, Péter
8	Liverani, Carlangelo
8	Nicol, Matthew
8	Pène, Françoise
7	Stenlund, Mikko
7	Zhang, Pengfei
6	Terhesiu, Dalia
6	Vaienti, Sandro
5	Chumley, Timothy
5	Dolgopyat, Dmitry
5	Dragičević, Davor
5	Podvigin, Ivan Viktorovich
4	Bruin, Henk
4	Korepanov, Alexey
4	Leppänen, Juho
4	Varandas, Paulo
3	Bahsoun, Wael
3	Burdzy, Krzysztof
3	Chen, Jianyu
3	Cox, Christopher Lee
3	Del Magno, Gianluigi
3	Dettmann, Carl P.
3	Duarte, Pedro
3	Gaivão, José Pedro
3	Hafouta, Yeor
3	Hu, Huyi
3	Kachurovskii, Aleksander G.
3	Lima, Yuri
3	Lopes Dias, João
3	Markarian, Roberto
3	Matheus, Carlos
3	Nándori, Péter
3	Saussol, Benoît
3	Sedro, Julien
3	Su, Yaofeng
3	Török, Andrei
2	Aimino, Romain
2	Alves, José Ferreira
2	Butterley, Oliver
2	Carney, Meagan
2	Castro, Armando
2	Chazottes, Jean-René
2	Chen, Ying
2	Climenhaga, Vaughn
2	Cook, Scott J.
2	Froyland, Gary
2	Gauthier, Carl-Erik
2	Georgiou, Orestis
2	González-Tokman, Cecilia
2	Gouëzel, Sébastien
2	Haydn, Nicolai T. A.
2	Hella, Olli
2	Holland, Mark P.
2	Luzzatto, Stefano
2	Pinheiro, Diogo
2	Stoyanov, Luchezar N.
2	Sturman, Rob
2	Sun, Jiong
2	Thomine, Damien
2	Wang, Fang
2	Young, Lai-Sang
2	Zhao, Zhong
2	Zhou, JIng
1	Angel, Omer
1	Arbieto, Alexander
1	Atnip, Jason
1	Attarchi, Hassan
1	Batista, Reginaldo Braz
1	Bianca, Carlo
1	Blumenthal, Alex
1	Bolding, Mark
1	Bomfim, Thiago
1	Bonetto, Federico
1	Borbély, Gábor
1	Börgers, Christoph
1	Bose, Christopher J.
1	Brown, Margaret
1	Caputo, Pietro
1	Carrand, Jérôme
1	Casati, Giulio
1	Castorrini, Roberto
1	Chen, Jingyu
1	Činč, Jernej
1	Cuny, Christophe
1	de Fátima Correia, Maria
1	de Simoi, Jacopo
1	Dedecker, Jérôme
1	Dias Carneiro, Mario Jorge
1	Dias, Carla L.
1	Dobbs, Neil B.
1	Duarte, Mauricio A.
1	Eslami, Peyman
1	Fain, Vitaly
...and 88 more Authors

all top 5

Cited in 56 Serials

27	Communications in Mathematical Physics
17	Ergodic Theory and Dynamical Systems
15	Journal of Statistical Physics
14	Nonlinearity
10	Chaos
9	Transactions of the American Mathematical Society
7	Discrete and Continuous Dynamical Systems
7	Annales Henri Poincaré
6	Stochastics and Dynamics
5	Advances in Mathematics
3	Proceedings of the American Mathematical Society
3	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3	Physica D
3	Journal of Modern Dynamics
2	Israel Journal of Mathematics
2	Chaos, Solitons and Fractals
2	Inventiones Mathematicae
2	Acta Mathematicae Applicatae Sinica. English Series
2	Doklady Mathematics
2	Mathematical Physics, Analysis and Geometry
2	Regular and Chaotic Dynamics
2	Dynamical Systems
2	Annales Henri Lebesgue
1	International Journal of Modern Physics B
1	Computers & Mathematics with Applications
1	Communications on Pure and Applied Mathematics
1	Journal d’Analyse Mathématique
1	Journal of Mathematical Physics
1	The Annals of Probability
1	Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1	Journal of Differential Equations
1	Journal of Differential Geometry
1	Memoirs of the American Mathematical Society
1	Transactions of the Moscow Mathematical Society
1	American Journal of Mathematical and Management Sciences
1	Probability Theory and Related Fields
1	Journal of the American Mathematical Society
1	The Annals of Applied Probability
1	Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1	Journal of Dynamics and Differential Equations
1	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1	Experimental Mathematics
1	Abstract and Applied Analysis
1	Matematicheskie Trudy
1	Journal of the European Mathematical Society (JEMS)
1	Lobachevskii Journal of Mathematics
1	Discrete and Continuous Dynamical Systems. Series B
1	Comptes Rendus. Mathématique. Académie des Sciences, Paris
1	Journal of Applied Mathematics and Computing
1	Bulletin of the Brazilian Mathematical Society. New Series
1	SIAM Journal on Applied Dynamical Systems
1	Journal of Statistical Mechanics: Theory and Experiment
1	Oberwolfach Reports
1	Nonlinear Analysis. Hybrid Systems
1	Journal of Geometric Mechanics
1	Forum of Mathematics, Sigma

all top 5

Cited in 23 Fields

177	Dynamical systems and ergodic theory (37-XX)
56	Probability theory and stochastic processes (60-XX)
19	Statistical mechanics, structure of matter (82-XX)
9	Mechanics of particles and systems (70-XX)
6	Fluid mechanics (76-XX)
5	Ordinary differential equations (34-XX)
5	Functional analysis (46-XX)
5	Operator theory (47-XX)
2	Measure and integration (28-XX)
2	Several complex variables and analytic spaces (32-XX)
2	Statistics (62-XX)
2	Classical thermodynamics, heat transfer (80-XX)
2	Biology and other natural sciences (92-XX)
1	General and overarching topics; collections (00-XX)
1	Partial differential equations (35-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Integral transforms, operational calculus (44-XX)
1	Geometry (51-XX)
1	Differential geometry (53-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Numerical analysis (65-XX)
1	Quantum theory (81-XX)
1	Systems theory; control (93-XX)

Zhang, Hongkun

Co-Authors

Serials

Fields

Publications by Year

Citations contained in zbMATH Open

Cited by 188 Authors

Cited in 56 Serials

Cited in 23 Fields

Citations by Year