个人信息Personal Information
教师拼音名称:Zhang Guohua
出生日期:1981-04-03
电子邮箱:zhanggh@fudan.edu.cn
入职时间:2007-07-06
所在单位:数学科学学院
学历:研究生毕业
性别:男
学位:博士学位
职称:教授
在职信息:在职
主要任职:教师
博士生导师
硕士生导师
学科:基础数学
Publications & Preprints
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(with T. Downarowicz) The Symbolic Extension Theory in Topological Dynamics, Acta Mathematica Sinica, English Series (google scholar)
(with T. Downarowicz) Symbolic extensions of amenable group actions and the comparison property, Memoirs of the American Mathematical Society (google scholar)
(it contains the paper “The comparison property of amenable groups” with google scholar)
Surveys
(with P. Oprocha) Topological aspects of dynamics of pairs, tuples and sets, Recent Progress in General Topology III by K. P. Hart, J. van Mill and P. Simon, book chapter, 665–709, Atlantis Press, 2014 (google scholar)
Relativization of dynamical properties, Science China Mathematics, 55 (2012), no. 5, 913–936 (google scholar)
Top 30 Most-Download Articles: September, 2012 to December, 2012
Top 30 Most-Read Articles: September, 2012 to December, 2012
Papers
2021
(with T. Yu and R. F. Zhang) Discrete spectrum for amenable group actions, Discrete and Continuous Dynamical Systems – Series A, 41 (2021), no. 12, 5871–5886 (google scholar)
(with B. W. Wang) A dynamical dimension transference principle for dynamical Diophantine approximation, Mathematische Zeitschrift, 298 (2021), no. 1-2, 161–191 (google scholar)
2020
(with P. Oprocha and T. Yu) Multi-sensitivity, multi-transitivity and Δ-transitivity, Dynamics: topology and numbers, Contemporary Mathematics, 744 (a volume based on the Conference “Dynamics: Topology and Numbers“ in Max Planck Institute for Mathematics (MPIM), 2018), 231–244, Amer. Math. Soc., Providence, RI, 2020 (google scholar)
2019
(with W. Huang and Z. R. Wang) Mobius disjointness for topological models of ergodic systems with discrete spectrum, Journal of Modern Dynamics, 14 (2019), 277–290 (google scholar)
(with T. Downarowicz and D. Huczek) Tilings of amenable groups, J. reine angew. Math., 747 (2019), 277–298 (google scholar)
2018
(with W. Huang and Danylo Khilko and S. F. Kolyada and Alfredo Peris) Finite intersection property and dynamical compactness, Journal of Dynamics and Differential Equations, 30 (2018), no. 3, 1221–1245 (google scholar)
(with W. Huang and S. F. Kolyada) Analogues of Auslander-Yorke theorems for multi-sensitivity, Ergod. Th. and Dynam. Sys., 38 (2018), 651–665 (google scholar)
2016
(with W. Huang and Danylo Khilko and S. F. Kolyada) Dynamical compactness and sensitivity, Journal of Differential Equations, 260 (2016), 6800–6827 (google scholar)
(with Z. L. Wang) Chaotic behavior of group actions, Dynamics and numbers, Contemporary Mathematics, 669 (a volume based on the activity of “Dynamics and Numbers” in Max Planck Institute for Mathematics (MPIM), 2014), 299–315, Amer. Math. Soc., Providence, RI, 2016. (google scholar)
2015
(with A. H. Dooley) Local entropy theory of a random dynamical system, Memoirs of the American Mathematical Society, vol. 233, no. 1099, Amer. Math. Soc., Providence, RI, 2015, 106 pages. (google scholar)
(with N.-P. Chung) Weak expansiveness for actions of sofic groups, Journal of Functional Analysis, 268 (2015), 3534–3565 (google scholar)
(with T. Downarowicz) Modeling potential as fiber entropy and pressure as entropy, Ergod. Th. and Dynam. Sys., 35 (2015), no. 4, 1165–1186 (google scholar)
(with J. Li and P. Oprocha) On recurrence over subsets and weak mixing, Pacific Journal of Mathematics, 277 (2015), no. 2, 399–424 (google scholar)
2014
(with A. H. Dooley and V. Ya. Golodets) Sub-additive ergodic theorems for countable amenable groups, Journal of Functional Analysis, 267 (2014), no. 5, 1291–1320 (google scholar)
(with W. Huang and X. Ye) Lowering topological entropy over subsets revisited, Trans. Amer. Math. Soc., 366 (2014), no. 8, 4423–4442 (google scholar)
(with P. Oprocha) On local aspects of topological weak mixing, sequence entropy and chaos, Ergod. Th. and Dynam. Sys., 34 (2014), 1615–1639 (google scholar)
2013
(with P. Oprocha) On weak product recurrence and synchronization of return times, Advances in Mathematics, 244 (2013), 395–412 (google scholar)
(with J. L. G. Guirao and M. Lampart) On the dynamics of a 4D local Cournot model, Appl. Math. Inf. Sci., 7 (2013), no. 3, 857–865 (google scholar)
2012
Local variational principle concerning entropy of a sofic group action, Journal of Functional Analysis, 262 (2012), no. 4, 1954–1985 (google scholar)
Corrigendum to: “Local variational principle concerning entropy of a sofic group action” [J. Funct. Anal. 262 (2012) 1954–1985], 278 (2020), no. 3, 108305, 2 pp.(with A. H. Dooley) Co-induction in dynamical systems, Ergod. Th. and Dynam. Sys., 32 (2012), 919–940 (google scholar)
(with P. Oprocha) On sets with recurrence properties, their topological structure and entropy, Topology and its Applications, 159 (2012), no. 7, 1767–1777 (google scholar)
ScienceDirect TOP 25 Hottest Articles (January to March 2012, Topology Appl.) (April to June 2012, Topology Appl.) (January to December 2012 full year, Topology Appl.)
2011
(with W. Huang and X. Ye) Local entropy theory for a countable discrete amenable group action, Journal of Functional Analysis, 261 (2011), no. 4, 1028–1082 (google scholar)
ScienceDirect TOP 25 Hottest Articles (April to June 2011, J. Funct. Anal.)(with P. Oprocha) Dimensional entropy over sets and fibres, Nonlinearity, 24 (2011), 2325–2346 (google scholar)
Top 10 Most-Read Articles in Previous Month: September, 2011 to May, 2012(with P. Oprocha) On local aspects of topological weak mixing in dimension one and beyond, Studia Mathematica, 202 (2011), no. 3, 261–288 (google scholar)
2010
(with W. Huang and X. Ye) Lowering topological entropy over subsets, Ergod. Th. and Dynam. Sys., 30 (2010), 181–209 (google scholar)
Top 10 Most-Read Articles in Previous Month: May, 2010 to January, 2011
Top 10 Most-Read Articles in Previous 12 Months: July, 2010 to December, 2011
2009
Variational principles of pressure, Discrete and Continuous Dynamical Systems – Series A, 24 (2009), no. 4, 1409–1435 (google scholar)
2008
(with P. Hu) Topological sequence entropy of the space of measures, J. Univ. Sci. Tech. China, 38 (2008), no. 5, 466–474 (google scholar)
2007
Relativization of complexity and sensitivity, Ergod. Th. and Dynam. Sys., 27 (2007), no. 4, 1349–1371 (google scholar)
(with X. Ye) Entropy points and applications, Trans. Amer. Math. Soc., 359 (2007), no. 12, 6167–6186 (google scholar)
(with W. Huang and X. Ye) Relative entropy tuples, relative u.p.e. and c.p.e. extensions, Israel J. Math., 158 (2007), 249–284 (google scholar)
2006
Relative entropy, asymptotic pairs and chaos, J. London Math. Soc. (2), 73 (2006), no. 1, 157–172 (google scholar)
(with W. Huang and X. Ye) A local variational principle for conditional entropy, Ergod. Th. and Dynam. Sys., 26 (2006), no. 1, 219–245 (google scholar)
Top 10 Most-Read Articles in Previous Month: May, 2011
Top 10 Most-Read Articles in Previous 12 Months: from March, 2007 to September, 2007; April, 2012 to May, 2012(with D. Dou and X. Ye) Entropy sequences and maximal entropy sets, Nonlinearity, 19 (2006), no. 1, 53–74 (google scholar)
2005
(with R. Kuang and X. Ye) Topological sequence entropy of substitutions of constant length on two symbols, (Chinese) Acta Math. Sinica (Chin. Ser.), 48 (2005), no. 5, 833–840 (google scholar)
Top 30 Most-Download Articles: July, 2010 to December, 2012
Preprint
(with T. Downarowicz and P. Oprocha and Mateusz Wiecek) Multiorders in amenable group actions, 2021 (google scholar) (submitted 2021)
(with T. Downarowicz) Tail variational principle and asymptotic h-expansiveness for amenable group actions (submitted 2021)
(with J. Li and P. Oprocha) On dynamics of quasi-graph maps, 2018 (submitted 2018)