张国华
教授 博士生导师

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:

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

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Publications & Preprints

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Accepted

  1. (with T. Downarowicz) The Symbolic Extension Theory in Topological Dynamics, Acta Mathematica Sinica, English Series (google scholar)

  2. (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

  1. (with P. OprochaTopological aspects of dynamics of pairs, tuples and setsRecent Progress in General Topology III by K. P. HartJ. van Mill and P. Simon, book chapter, 665–709, Atlantis Press, 2014 (google scholar)

  2. Relativization of dynamical propertiesScience 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

  1. (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)

  2. (with B. W. WangA dynamical dimension transference principle for dynamical Diophantine approximationMathematische Zeitschrift, 298 (2021), no. 1-2, 161–191 (google scholar)


2020

  1. (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

  1. (with W. Huang and Z. R. Wang) Mobius disjointness for topological models of ergodic systems with discrete spectrumJournal of Modern Dynamics, 14 (2019), 277–290 (google scholar)

  2. (with T. Downarowicz and D. HuczekTilings of amenable groupsJ. reine angew. Math., 747 (2019), 277–298 (google scholar)


2018

  1. (with W. Huang and Danylo Khilko and S. F. Kolyada and Alfredo PerisFinite intersection property and dynamical compactnessJournal of Dynamics and Differential Equations, 30 (2018), no. 3, 1221–1245 (google scholar)

  2. (with W. Huang and S. F. KolyadaAnalogues of Auslander-Yorke theorems for multi-sensitivityErgod. Th. and Dynam. Sys., 38 (2018), 651–665 (google scholar)


2016

  1. (with W. Huang and Danylo Khilko and S. F. KolyadaDynamical compactness and sensitivityJournal of Differential Equations, 260 (2016), 6800–6827 (google scholar)

  2. (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

  1. (with A. H. DooleyLocal entropy theory of a random dynamical systemMemoirs of the American Mathematical Society, vol. 233, no. 1099, Amer. Math. Soc., Providence, RI, 2015, 106 pages. (google scholar)

  2. (with N.-P. ChungWeak expansiveness for actions of sofic groupsJournal of Functional Analysis, 268 (2015), 3534–3565 (google scholar)

  3. (with T. DownarowiczModeling potential as fiber entropy and pressure as entropyErgod. Th. and Dynam. Sys., 35 (2015), no. 4, 1165–1186 (google scholar)

  4. (with J. Li and P. OprochaOn recurrence over subsets and weak mixingPacific Journal of Mathematics, 277 (2015), no. 2, 399–424 (google scholar)


2014

  1. (with A. H. Dooley and V. Ya. GolodetsSub-additive ergodic theorems for countable amenable groupsJournal of Functional Analysis, 267 (2014), no. 5, 1291–1320 (google scholar)

  2. (with W. Huang and X. YeLowering topological entropy over subsets revisitedTrans. Amer. Math. Soc., 366 (2014), no. 8, 4423–4442 (google scholar)

  3. (with P. OprochaOn local aspects of topological weak mixing, sequence entropy and chaosErgod. Th. and Dynam. Sys., 34 (2014), 1615–1639 (google scholar)


2013

  1. (with P. OprochaOn weak product recurrence and synchronization of return timesAdvances in Mathematics, 244 (2013), 395–412 (google scholar)

  2. (with J. L. G. Guirao and M. LampartOn the dynamics of a 4D local Cournot modelAppl. Math. Inf. Sci., 7 (2013), no. 3, 857–865 (google scholar)


2012

  1. Local variational principle concerning entropy of a sofic group actionJournal 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.

  2. (with A. H. DooleyCo-induction in dynamical systemsErgod. Th. and Dynam. Sys., 32 (2012), 919–940 (google scholar)

  3. (with P. OprochaOn sets with recurrence properties, their topological structure and entropyTopology 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

  1. (with W. Huang and X. YeLocal entropy theory for a countable discrete amenable group actionJournal of Functional Analysis, 261 (2011), no. 4, 1028–1082 (google scholar)
    ScienceDirect TOP 25 Hottest Articles (April to June 2011, J. Funct. Anal.)

  2. (with P. OprochaDimensional entropy over sets and fibresNonlinearity, 24 (2011), 2325–2346 (google scholar)
    Top 10 Most-Read Articles in Previous Month: September, 2011 to May, 2012

  3. (with P. OprochaOn local aspects of topological weak mixing in dimension one and beyondStudia Mathematica, 202 (2011), no. 3, 261–288 (google scholar)


2010

  1. (with W. Huang and X. YeLowering topological entropy over subsetsErgod. 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

  1. Variational principles of pressureDiscrete and Continuous Dynamical Systems – Series A, 24 (2009), no. 4, 1409–1435 (google scholar)


2008

  1. (with P. HuTopological sequence entropy of the space of measuresJ. Univ. Sci. Tech. China, 38 (2008), no. 5, 466–474 (google scholar)


2007

  1. Relativization of complexity and sensitivityErgod. Th. and Dynam. Sys., 27 (2007), no. 4, 1349–1371 (google scholar)

  2. (with X. YeEntropy points and applicationsTrans. Amer. Math. Soc., 359 (2007), no. 12, 6167–6186 (google scholar)

  3. (with W. Huang and X. YeRelative entropy tuples, relative u.p.e. and c.p.e. extensionsIsrael J. Math., 158 (2007), 249–284 (google scholar)


2006

  1. Relative entropy, asymptotic pairs and chaosJ. London Math. Soc. (2), 73 (2006), no. 1, 157–172 (google scholar)

  2. (with W. Huang and X. YeA local variational principle for conditional entropyErgod. 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

  3. (with D. Dou and X. YeEntropy sequences and maximal entropy setsNonlinearity, 19 (2006), no. 1, 53–74 (google scholar)


2005

  1. (with R. Kuang and X. YeTopological 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 

  1. (with T. Downarowicz and P. Oprocha and Mateusz Wiecek) Multiorders in amenable group actions, 2021 (google scholar(submitted 2021)

  2. (with T. Downarowicz) Tail variational principle and asymptotic h-expansiveness for amenable group actions (submitted 2021)

  3. (with J. Li and P. Oprocha) On dynamics of quasi-graph maps, 2018 (submitted 2018)