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中国科学技术大学数学学院导师介绍:黄文

 


黄文教授
所在系 数学系
研究方向 动力系统
办公室 1315
办公电话 *************
电子邮件 wenh@mail.ustc.edu.cn
个人主页  

  个人简介
  1975年10月生于四川省彭州市,
  1994.9-1998.7就读中国科技大学数学系,获理学学士学位
  1998.9-2003.7中国科技大学数学系读博,获理学博士学位,
  导师叶向东教授。
  2001年6月留校工作。
  2004年1月晋升为副教授。
  2007年12月晋升为教授。

  工作简历
  一、工作情况(包括访问)
  2001年6月留校任教。
  2004年1月晋升为副教授。
  2007年12月晋升为教授。
  2002.3.27-2002.4.25赴智利智利大学数学系合作研究.
  2004.4.1- 2004.12.11赴美国乔治亚理工学院数学院访问.
  2004.12.12-2005.11.29赴法国马赛Institut de Mathematique de Luminy访问.
  2005.6.6-2005.6.12赴韩国数理高等研究院访问.
  2005.11.30-2005.12.27赴智利智利大学数学系合作研究
  2006.7.26-2006.8.25赴CUHK数学系访问.
  2006.10.3-2006.10.15赴美国Wisconsion大学数学系访问
  2007.2.4-2007.2.7赴韩国Ajou University数学系访问.
  2008.2.?-2008.2.?赴CUHK数学系访问.
  2009.1.8-2009.1.22赴CUHK数学系访问.
  2009.2.20-2010.5 赴美国乔治亚理工学院数学院访问.
  2009.12.13-2010.1.7赴美国纽约大学Buffalo分校数学系访问.
  2012.91.-2012.9.30赴意大利Trieste的ICTP访问
  二、开会情况
  a)国际
  1.2001.7.30-2001.8.17参加意大利Trieste召开的动力系统会议和高级研讨班;
  2.2002.3.23-2002.3.26参加美国马里兰大学数学系召开的拓扑动力系统会议;
  3.2004.7.20- 2004.7.24参加美国stanford大学数学系召开的Ornstein fest会议;
  4.2005.7.4-2005.7.8参加法国CIMR召开的Systè;mes dynamiques en dimension infinie
  5.2007.6.17-2007.6.23,Visegrad Conference Dynamical Systems,High Tatras 2007,Štrbské; Pleso,Slovakia(报告题目:Stable sets and stable sets in positive entropy systems)
  6.2009.3.27-29,2009 AMS Spring Central Sectional Meeting,University of Illinois at Urbana-Champaign,Urbana,IL,USA
  7.2012.1.23-27,";First Chilean-French conference in Dynamics and Combinatorics";,Cap Hornu,Baie de Somme,France
  (报告题目:Nil Bohr_0-sets,Poincaré; recurrence and generalized polynomials)
  8.2012.8.6-11参加丹麦奥尔堡召开的International Congress on Mathematical Physics
  9.2012.10.22-26参加美国IMA的IMA Annual Program Year Workshop
  Random Dynamical Systems
  10.2012.12.10-14参加香港中文大学举办的International conference on Advances of Fractals and Related Topics(报告题目:Stable sets in Zn-systems with positive entropy)
  11.
  b)国内
  1.1998年8月9-12日,动力系统国际会议,北京大学
  2.2005年7月19-23日,International conference of dynamical systems,黄山.
  3.2006.5.24-2006.5.30参加台湾NCTS召开的International Conference on Chaos and Dynamical Complexity.
  4.2006年12月15-19日,International Conference on Bifurcation Theory of Dynamical Systems and Related Topics,北京大学(报告题目:The size of scrambled sets)
  5.2007年7月15日-21日,2007柳州拓扑动力系统、遍历理论国际学术研讨会,广西柳州师专(报告题目:Local theory of Pressure)
  6.2007年8月1日至14日,第二届“全国动力系统暑期学校”,吉林大学(报告题目:Periodicity,Almost Periodicity and Almost autumorphic)
  三、学术报告
  1.2006.8.3,香港中文大学数学系,The Local Theory of Entropy(Part 1);
  2006.8.8,香港中文大学数学系,The Local Theory of Entropy(Part 2);
  2006.8.10,香港中文大学数学系,The Local Theory of Entropy(Part 3);
  2006.8.15,香港中文大学数学系,The Local Theory of Entropy(Part 4);
  2.2008.2.16,香港中文大学数学系,Stable sets and scrambled sets in positive entropy systems(I)(II)

  教学情况
  一、本科生课程
  1.2001.9-2002.1 微积分A1(主讲)S
  2.2002.2-2002.7 微积分A3(主讲)S
  3.2002.9-2003.1 复变函数A(主讲)S
  4.2003.2-2003.7 拓扑学(助教)E
  5.2004.2-2004.4 近世代数(主讲)T 41
  6.2006.2-2006.7 拓扑学(主讲)F 134
  7.2006.9-2007.1 复变函数A(主讲)S 165
  8.2007.2-2007.7 泛函分析(主讲)E 155
  9.2007.9-2008.1 泛函分析(主讲)E 122
  10.2008.2-2008.7 实变函数(主讲)E 
  11.2010.9-2011.1 数学分析B1(主讲)Tw 70
  11.2011.2-2011.7 拓扑学(主讲)E
  12.2011.9-2012.1 数学分析3(主讲)T
  13.2012.2-2012.6 数学分析B2(主讲)Tw
  二、研究生课程
  1.2006.2-2006.7 遍历理论I(主讲)E 4
  2.2006.9-2007.1 遍历理论II(主讲)F 7
  3.2007.9-2008.1 遍历理论(主讲)F 7
  4.2010.9-2011.1 动力系统选讲II(主讲)E 8
  5.2011.9-2012.1 遍历理论I(主讲)F 10
  6.2012.2-2012.6 遍历理论II(主讲)F 6
  7.2013.2-2013.7 遍历理论II(主讲)F
  学时:E 80,S 60,F 40,T 30,Tw 120

  科研情况
  研究方向:遍历理论及拓扑动力系统(Research field:Ergodic Theory and topological dynamics)
  当前,主要学习和研究的是:
  1).拓扑动力系统及其应用方面:
  a).与熵有关的一些问题:熵和压的变分原理;熵、Lyapunov指数和维数关系等.
  b).Abury-Mather理论(学习中)与几乎自守属性.
  c).Lyapunov指数与Schrodinger算子的谱等(学习中).
  2).遍历理论及应用方面:
  e)多重遍历定理和Erdos-Turan猜测、Furstenberg猜测、Bohr问题、Little-wood猜测等.
  f)代数系统中与熵有关的问题(学习中)
  h)weak-Pinsker猜测
  3)遍历理论及拓扑动力系统与微分方程的关联:
  g)微分方程的随机稳定性、随机微分方程的复杂性问题
  h)与Fokker-Planck方程相关的一些问题(学习中,有些进展)
  一、发表的论文(Published,标注了*的文章是与微分方程:主要与Fokker-Planck方程、Schroding算子的谱相关)
  1.W.Huang and X.Ye,Non-wandering sets of powers of map of a tree,Science in China A,44(2001),no.1,31--39.(Jan 2001)
  2.W.Huang and X.Ye,Homeomorphisms with the whole compacta being scrambled sets,Ergod.Th.and Dynam.Sys.,21(2001),77-91.(Feb ,2001)
  3.W.Huang and X.Ye,Devaney's chaos and 2-scattering imply Li-Yorke's chaos,Topology Appli.,117(2002),259-272.(Feb ,2002)
  4.W.Huang and X.Ye,An explicit scattering,non-weakly mixing example and weak disjointness,Nonlinearity,15(2002),849-862.(May ,2002)
  5.W.Huang,S.Li,S.Shao and X.Ye,Null systems and sequence entropy pairs,Ergod.Th.and Dynam.Sys..23(2003),1505-1523.(OCT 2003)
  6.W.Huang,S.Shao and X.Ye,Mixing and proximal cell along sequences,Nonlinearity,17(2004),No 4,1245-1260.(Jul 2004)
  7.W.Huang and X.Ye,Minimal sets in almost equicontinuous systems,Proc.of the Steklov Inst.of Math.,Vol 244(2004),280-287.(Feb 2004)
  8.W.Huang and X.Ye,Topological complexity,return times and weak disjointness,Ergod.Th.and Dynam.Sys.,24(2004),No.3,825-846.(JUL 2004)
  9.W.Huang,A.Maass,P.P.Romagnoli and X.Ye,Entropy pairs and a local abramov formula for the MTE of open covers,Ergod.Th.and Dynam.Sys.,24(2004),No.4,1127-1153.(Aug 2004)
  10.W.Huang,A.Maass and X.Ye,Sequence entropy pairs and complexity pairs for a measure,Annales de l\'Institut Fourier,54(2004),No.4,1005-1028.(Aug 2004)
  11.W.Huang and X.Ye,Dynamical systems disjoint from any minimal system,Trans.Amer.Math.Soc.357(2005),669-694.(Feb 2005)
  12.W.Huang,S.Shao and X.Ye,Mixing via sequence entropy,Contemporary Mathematics,vol 385(2005),101-122.(2005)
  13.W.Huang and X.Ye,A local variational relation and applications,Israel Journal of Mathematics,151(2006),237-280.(Feb 2006)
  14.W.Huang,X.Ye and G.Zhang,A local variational principle for conditional entropy,Ergod.Th.and Dynam.Sys.,26(2006),No.1,219-245.(Feb 2006)
  15.D.Dou,W.Huang and X.Ye,Null flows and null functions on R,Journal of Dynamics and differential equations,18(2006),no.1,197-221.(Jan 2006)
  16.W.Huang,Tame systems and scrambled pairs under an abelian group action,Ergod.Th.and Dynam.Sys.,26(2006),no.4,1549-1567.(OCT 2006)
  17.W.Huang,K.K.Park and X.Ye,Topological disjointness from entropy zero systems.Bull.Soc.Math.France 135(2007),no.2,259--282.(March 2007)
  18.W.Huang,X.Ye and G.Zhang,Relative entrope tuples,Relative U.P.E.and C.P.E.extensions,Israel Journal of Mathematics,158(2007),249-283.(March 2007)
  19.W.Huang and Y.Yi,A local variational principle of pressure and its applications to equilibrium states,Israel Journal of Mathematics,161(2007),29-74.(OCT 2007)
  20.F.Blanchard,W.Huang and L.Snoha,Topological size of scrambled sets,Colloq.Math.110(2008),no.2,293-361.(March 2008)
  21.F.Blanchard and W.Huang,Entropy set,weakly mixing set and Entropy capacity,Discrete and Continuous Dynamical Systems Ser.A.20(2008),No.2,275 - 311.(Feb 2008)
  22.Y.Cao,D.Feng and W.Huang,The thermodynamic formalism for sub-multiplicative potentials,Discrete and Continuous Dynamical Systems Ser.A.,20(2008),No.3,639-657.(Mar 2008)
  23.W.Huang,Stable sets and e-stable sets in positive-entropy systems,Communications in Mathematical Physics,279(2008),No.2,535-557.(APR 2008)
  24.W.Huang and X.Ye,Combinatorial lemmas and applications to dynamics,Advance in Mathematics,220(2009),No.6,1689-1716.(APR 2009)
  *25.W.Huang and Y.F.Yi,Almost periodically forced circle flows,Journal of Functional Analysis,257(2009)832–902.(Aug 2009)
  26.W.Huang,X.Ye and G.Zhang,Lowering topological entropy over subsets,Ergod.Th.and Dynam.Sys.,(2010),30,181–209.(Feb 2010)
  27.D.J.Feng and W.Huang,Lyapunov spectrum of asymptotically sub-additive potentials,Communications in Mathematical Physics,297(2010),no.1,1-43.(JUL 2010)
  28.E.Akin,E.Glasner,W.Huang,S.Shao and X.Ye,Sufficient conditions under which a transitive system is chaotic,Ergod.Th.&; Dynam.Sys.(2010),30,1277-1310.(OCT 2010)
  29.D.Dou,W.Huang and K.K.Park,Entropy dimension of topological dynamical systems,Trans.Amer.Math.Soc.363(2011),659-680.(FEB 2011)
  *30.S.N.Chow,W.Huang,Y.Li and H.M.Zhou,A free energy based mathematical study for molecular motors,Regular and Chaotic Dynamics 16(2011),No.1-2,117-127.(Feb 2011)
  31.W.Huang,X.Ye and G.Zhang,Local entropy theory for a countable discrete amenable group action,Journal of Functional Analysis,261(2011)No.4,1028-1082.(AUG 2011)
  32.W.Huang,P.Lu and X.Ye,Measure-theoretical sensitivity and equicontinuity,Israel Journal of Mathematics,183(2011),233-284.(JUL 2011)
  *33.W.Huang,L.Xu and Y.Yi,Entropy of dynamical systems with repetition property,Journal of Dynamics and Differential Equations,23(2011),No.3,683-693.(SEP 2011)
  *34.S.N.Chow,W.Huang,Y.Li and H.M.Zhou,Fokker-Planck Equations for a Free Energy Functional or Markov Process on a graph,Arch.Rational.Mech.Analysis.,203(2012),no.3,969-1008.(Mar 2012)
  *35.W.Huang and Y.Yi,On Lyapunov exponents of continuous Schrodinger cocycles over irrational rotations,Proceedings of the AMS,140(2012),1957-1962.( ?,2012)
  36.C.Fang,W.Huang,Y.Yi and P.Zhang,Dimensions of stable sets and scrambled sets in positive finite entropy systems,Ergod.Th.&; Dynam.Sys.32(2012),no.2,599-628.(?,2012)
  37.W.Huang,H.F.Li and X.Ye,Family-independence for topological and measurable dynamics,Trans.Amer.Math.Soc.364(2012),5209-5242.
  38.W.Huang and X.Ye,Generic eginvalue,generic factor and weak disjointness,Contem.Math,567(2012),119-142.
  39.W.Huang and P.Zhang,Pointwise Dimension,entropy and lyapunov exponents for C^1 maps,Trans.Amer.Math.Soc.364(2012),no.12,6355-6370.
  40.D.J.Feng and W.Huang,Variational principles for topological entropies of subsets,Journal of Functional Analysis,263(2012),no.8,2228-2254.(OCT,2012)
  41.W.Huang and WX.Shen,Analytic skew products of quadratic polynomials over circle expanding maps,Nonlinearity,26(2013),no.2,389-404.(Feb,2013)
  二、接受待发表的论文(accepted)
  42.W.Huang,X.Ye and G.Zhang,Lowering topological entropy over subsets Revisited,Trans.Amer.Math.Soc.,2013.Accepted.
  三、已送审的论文(submitted)
  43.W.Huang,J.Li and X.Ye,Stable sets and mean Li-Yorke chaos in positive entropy systems,Journal of Functional Analysis(一审修改中),2013.
  44.W.Huang and K.Lu,submitted 2012.
  45.W.Huang,S.Shao and X.Ye,submitted 2013.
  *46.W.Huang,M.Ji,Z.Liu and Y.Yi,Fokker-Planck equations:I.Eixstence of steady states,submitted,2013.
  *47.W.Huang,M.Ji,Z.Liu and Y.Yi,Fokker-Planck equations:II.Non-eixstence of steady states,submitted,2013.
  48.D.J.Feng,W.Huang and H.Rao,Affine embeddings and Intersections of Cantor sets,submitted,2013.
  49.W.Huang,L.Xu and Y.Yi,Asymptotic pair,stable set and chaos in positive entropy systems,submitted,2013.
  四、预印本(preprint)
  *50.W.Huang,M.Ji,Z.Liu and Y.Yi,Limit Behaviors of stationary measures:I.Concentration and stability,preprint 2013.
  *51 W.Huang,M.Ji,Z.Liu and Y.Yi,Limit Behaviors of stationary measures:II.Convergence of Gibbs measures,preprint 2013.
  五、正在撰写的(In preparation)
  52.W.Huang,H.F.Li and X.Ye,Localization and dynamical Ramsey property,draft.
  53.D.Dou,W.Huang and K.K.Park,Entropy dimension of Measure-preserving systems,draft.
  *54.W.Huang,K.Lu and Q.Wang,draft.
  *55.W.Huang,M.Ji,Z.Liu and Y.Yi,Part5,6 draft 2013.
  56.D.J.Feng and W.Huang,draft 2013.六、学术专著和综述性文章(book and survey)
  a.叶向东、黄文和邵松,《拓扑动力系统概论》,2008年出版,科学出版社.
  b.黄文和叶向东,动力系统复杂性与点串,中国科学院研究生院学报,2006年第05期,701-707.
  c.Y.Li,G.Dwivedi,W.Huang,Melissa Kemp and Y.Yi,Quantification of degeneracy in biological systems for characterization of functional interactions between modules,Journal of Theoretical Biology,2012(302),29-38.(方程、生物文章,所以作者未按姓氏排名,按贡献)

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