Lingmin LIAO. Personal Information. Education and Employment. Research Interests. Ph.D. Thesis

Transcription

1 Lingmin LIAO H T u B lingmin.liao@u-pec.fr Name Sex Personal Information Lingmin LIAO Male Date of Birth September 1st, 1981 Marital Status Nationality Married Chinese (PRC) Address LAMA CNRS UMR 8050, Université Paris-Est Créteil Val de Marne, Bâtiment P3-4ème étage, 61, avenue du Général de Gaulle, Créteil, France Personal page Education and Employment 09/2010-present Maître de Conférences, Laboratoire d Analyse et de Mathématiques Appliquées, Université Paris-Est Créteil, France. 09/ /2010 Temporary Teaching and Research Position, Laboratoire d Analyse et de Mathématiques Appliquées, Université Paris-Est Créteil, France. 09/ /2009 Temporary Teaching and Research Position, Laboratoire de Mathématiques et Physique Théorique, Université François Rabelais de Tours, France. 05/ /2009 Associated researcher, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie Jules Verne, France. 09/ /2008 Ph. D candidate, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie Jules Verne, France and School of Mathematics and Statistics, Wuhan University, China. 09/ /2005 Postgraduate, School of Mathematics and Statistics, Wuhan University, China. 09/ /2003 Undergraduate, School of Mathematics and Statistics, Wuhan University, China. 09/ /1999 Baccalaureate, The First High School of Yizhang, Hunan, China. Research Interests { Dynamical systems { Probability { Ergodic theory { Number Theory { Multifractals { Harmonic analysis May 20th 2008 Ph.D. Thesis Studies on the Recurrence of Some Topological and Arithmetic Dynamical Systems, 198 pages, Très Honorable, Advisor: Ai-Hua FAN; President: Jean-Pierre KAHANE; Reporters: Yann BUGEAUD, Jörg SCHMELING; Examiners: Jean-Luc CHABERT, Fabien DU- RAND, Bernard HOST. 1/8

2 Publications p-adic repellers in Q p are subshifts of finite type, C. R. Acad. Sci. Paris, Ser. I 344 (2007) , (with Aihua Fan, Yuefei Wang and Dan Zhou) Generic points in systems of specification and Banach valued Birkhoff ergodic average, Discrete and Continuous Dynamical Systems, 21 (2008) , (with Aihua Fan and Jacques Peyrière) Dimension of some non-normal continued fraction sets, Math. Proc. Camb. Phil. Soc., 145 (2008), no. 1, , (with Jihua Ma and Baowei Wang) On Khintchine exponents and Lyapunov exponents of continued fractions, Ergodic Theory and Dynamical Systems, 29 (2009), , (with Aihua Fan, Baowei Wang and Jun Wu) On the frequency of partial quotients of regular continued fractions, Math. Proc. Camb. Phil. Soc., 148 (2010), , (with Aihua Fan and Jihua Ma) Dimension of Besicovitch-Eggleston sets in the countable symbolic space, Nonlinearity, 23 (2010) , (with Ai-Hua Fan, Ji-Hua Ma and Bao-Wei Wang) On minimal decomposition of p-adic polynomial dynamical systems, Advance in Mathematics, 228, no. 4, (2011), , (with Ai-Hua Fan) Dynamical properties of negative beta transformation, Ergodic Theory and Dynamical Systems, 32, no. 5, (2012), , (with Wolfgang Steiner) Level sets of multiple ergodic averages, Monatshefte für Mathematik, 168, no. 1, (2012), 17-26, (with Ai-Hua Fan and Ji-Hua Ma) Diophantine approximation by orbits of Markov maps, Ergodic Theory and Dynamical Systems, 33, no. 2, (2012), , (with Stéphane Seuret) Multifractal analysis for expanding interval maps with infinitely many branches, accepted by Transactions of AMS, (with Ai-Hua Fan, Thomas Jordan, and Michał Rams) Inhomogeneous Diophantine approximation with general error functions, accepted by Acta Arith., (with Michał Rams) Preprints Multifractal analysis of some multiple ergodic averages for the systems with non-constant Lyapunov exponents, submitted, (with Michał Rams) On the fast Khintchine spectrum in continued fractions, submitted, (with Ai-Hua Fan, Bao-Wei Wang and Jun Wu) Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems, submitted, (with Ai-Hua Fan and Meng Wu) In preparation Dirichlet uniformly well-approximated numbers, (with Dong Han Kim). On minimality of an affine polynomial on finite extensions of the field of p-adic numbers. 2/8

3 On minimal decomposition of p-adic homographic dynamical systems, (with Ai-Hua Fan, Shi- Lei Fan and Yue-Fei Wang) Honors and Awards The first class People s Scholarship, The second class People s Scholarship, The second class People s Scholarship, The first class in the Hubei stadium of China Undergraduate Mathematical Contest in Modeling, September 2001 The second class in Advanced Mathematics Contest, 2001 The first class in Advanced Mathematics Contest, 2002 Excellent Student Graduated from Wuhan University, June 2003 Excellent master student of Wuhan University, 2005 Scholarship of CASC (China Aerospace Science and Technology Corporation), 2007 Scholarship of Embassy of France in China, July June 2008 Prime d excellence scientifique, Scientific Projects Égide Programme Orchid 2012, Hubert Curien (PHC) franco-taïwanais, 2012 and 2013 Soutien à la recherche des jeunes maîtres de conférences, Université Paris-Est, 2012 Participant, ANR-MUTADIS (Multifractales et Théorie métrique de l Approximation Diophantienne), Teaching Experience Université François Rabelais de Tours, France 09-12/2008 Mathématiques, 1st year undergraduate students 09-12/2008 Statistiques, 2nd year undergraduate students 01-05/2009 Probabilités, 1st year undergraduate students 01-05/2009 Courbes, 2nd year undergraduate students Université Paris-Est, Créteil, France 09-12/2009 Analysis dans R n et Statistiques, 2nd year undergraduate students 09-12/2009 Fonctions complexes, 3rd year undergraduate students 01-04/2010 Probabilités, 3rd year undergraduate students 09-12/2010 Fonctions complexes, 3rd year undergraduate students 09-12/2010 Analysis dans R n et Statistiques, 2nd year undergraduate students 09-12/2010 Fonctions holomorphes, Master 1 3/8

4 01-04/2010 Processus et finance, Master /2011 Probabilités, Master /2011 Fonctions holomorphes, Master /2011 Probabilités, Master /2012 Processus et finance, Master /2012 Ondelettes, Master /2012 TER Grandes Déviations, Master /2012 Probabilités, Master 1 in Mathematics 09-12/2012 Fonctions holomorphes, Master 1 in Mathematics 09-12/2012 Probabilités, Master 2 in Mathematics education 09-12/2012 Fonctions complexes, 3rd year undergraduate students in Engineering and Physics 01-04/2013 Probabilités, 3rd year undergraduate students in Mathematics 01-04/2013 Probabilités, 3rd year undergraduate students in Engineering and Physics 01-04/2013 Probabilités, estimation et Tests, 2nd year undergraduate students in Economics 01-04/2013 TER Borel-Cantelli Lemma, Master 1 in Mathematics April 2007 Talks in seminars p-adic polynomial dynamical systems. Oberseminar in Dynamical Systems and Mathematical Physics, Lund, Sweden June 2007 Les ensembles de Besicovitch-Eggleston dans l espace symbolique infini. Séminaire de Probabilités et Théorie Ergodique, Amiens, France February 2008 Sur l analyse multifractale du système de Gauss associé aux fractions continues. Séminaire d Analyse et Probabilités, Brest, France March 2008 Trois spectres multifractals des fractions continues. Séminaire Cristolien d Analyse Multifractale, Créteil, France March 2008 Les fractions continues et la dimension de Hausdorff. Séminaire Doctorant, Amiens, France April 2008 Sur la minimalité des systèmes dynamiques polynomiaux dans Z p. Groupe de travail Algèbre et Théorie des Nombres, Amiens, France September 2008 Analyse multifractale concernant les fractions continues. Séminaire de Probabilités et Théorie Ergodique,Tours, France October 2008 Analyse multifractale concernant les fractions continues(suite). Séminaire de Probabilités et Théorie Ergodique, Tours, France October 2008 Sur la minimalité de systèmes dynamiques p-adiques polynomiaux. Séminaire de Probabilités et Théorie Ergodique, Tours, France October 2008 Approximation diophantienne et dimension de Hausdorff. Séminaire de Probabilités et Théorie Ergodique, Tours, France July 2009 Some multifractal analysis results of regular continued fractions. Seoul, South Korea July 2009 Multifractal analysis in continued fractions. BK-PMI Seminar, Pohang, South Korea 4/8

5 July 2009 Minimality and chaotic property of p-adic polynomial dynamical systems. BK-PMI Seminar, Pohang, South Korea March 2010 August 2010 August 2010 Approximation diophantienne dynamique et dimension de Hausdorff. Séminaire de Théorie ergodique et systèmes dynamiques, Université Paris 13, Villetaneuse, France Polynomial dynamical systems in the field of p-adic numbers. KIAS, Séoul, South Korea Continued fractions and Hausdorff dimension. Dongguk University, Séoul, South Korea October 2010 Systèmes dynamiques polynomiaux dans le corps des nombres p-adiques. Séminaire COOL, Institut Henri Poincaré, Paris, France November 2010 February 2011 April 2011 May 2011 April 2012 Approximation diophantienne dynamique, temps d atteinte et dimension de Hausdorff. Séminaire ERNEST Dynamiques, Arithmétique et Combinatoire, Institut de Mathématiques de Luminy, Luminy, France Propriétés dynamiques de la ( β)-transformation. Séminaire Probabilité et théorie ergodique, Université de Picardie, Amiens, France Analyse multifractale des fractions continues. Séminaire COOL, Institut Henri Poincaré, Paris, France Hausdorff dimensions of sets of points well-approximated by orbits of expanding Markov maps. Séminaire Ergodic Theory and Dynamical Systems, University of Bristol, Bristol, United Kingdom Minimalité des polynômes affines sur une extension finie du corps des nombres p-adiques. Séminaire Analyse Harmonique, Université Paris-Sud, Orsay, France April 2012 Analyse multifractale de moyennes ergodiques multiples. Groupe de travail en Probabilités, Théorie Ergodique et Systèmes Dynamiques, Université de Rouen, Rouen, France June 2012 July 2012 July 2012 August 2012 December 2012 December 2012 Riesz product method in the study of multiple ergodic averages. Seminar of 2012 Program of Stochastics, Dimension and Dynamics, Morningside center of Mathematics, Beijing, China Dynamical properties of the negative beta transformation. Seminar of Mathematics Department, Chinese Culture University, Yangmingshan, Taiwan Continued fractions and Multifractal analysis. Seminar of Mathematics Division, National Center for Theoretical Sciences, Hsinchu Taiwan Minimality of affine polynomials on a finite extension of the field of p-adic numbers. Seminar of 2012 Program of Stochastics, Dimension and Dynamics, Morningside center of Mathematics, Beijing, China Multifractal analysis of multiple ergodic averages. Seminar of Mathematics Department, Nanjing University, Nanjing, China Multifractal analysis in continued fractions. Seminar of Mathematics Department, Nanjing University, Nanjing, China Talks in conferences 5/8

6 April 2005 Systems with specification property are saturated. National Conference on Fractal and Dynamical Systems, Xiangtan, China April 2006 On growth rate of the partial quotients in continued fraction expansions. Colloque Théorie Ergodique II, Marseille, France May 2006 June 2006 August 2008 August 2008 September 2009 April 2010 April 2010 Continued Fraction Expansions: Birkhoff Spectra and Lyapunov Spectrum. Colloque Dynamique et Aléa, Merlimont, France Continued Fraction Expansions: Birkhoff Spectra and Lyapunov Spectrum. National Conference on Fractal and Dynamical Systems, Dalian, China Multifractal analysis. Workshop on Ergodic Theory in Complex and Smooth Dynamical Systems, Beijing, China p-adic polynomial dynamical systems. Workshop on Ergodic Theory in Complex and Smooth Dynamical Systems, Beijing, China On minimal decomposition of p-adic polynomial dynamical systems. The Fourth International Conference on p-adic Mathematical Physics, Hrodna, Belarus Dynamical properties of negative beta-transformation. Workshop "Digital expansions, dynamics and tilings", Aussois, France Some studies on the dynamical diophantine approximation. Conference "Wavelets and Fractals", Esneux, Belgium June 2010 On the recurrence property of p-adic polynomial dynamical systems. Workshop "Numeration ", Lorentz Center, Leiden, Holland July 2010 Affine polynomial dynamical systems in finite extensions of p-adic number field. 11th International Conference on P-adic Functional Analysis, Université Blaise Pascal, Clermont-Ferrand, France October 2010 April 2011 Some studies on the ( β)-transformation. CODY Autumn, Banach center, Warsaw, Poland Dynamical properties of negative β-transformation. EPSRC Symposium Workshop on Ergodic Theory and Number Theory, The University of Warwick, Coventry, United Kingdom November 2011 Multifractal analysis of continued fractions. First International Meeting PISRS, PISRS 2011, University of Messina, Messina, Italy April 2012 Minimality of affine polynomials on a finite extensions of Q p. Ergodic Theory and Dynamical Systems: Perspectives and Prospects, The University of Warwick, Coventry, United Kingdom April 2012 Set of numbers uniformly well-approximated in the sense of Dirichlet. Ergodic Methods in Dynamics, The Mathematical Research and Conference Center, Bȩdlewo, Poland December 2012 Inhomogeneous Diophantine approximation with general error functions. Advances on Fractals and Related Topics, Department of Mathematics, The Chinese University of Hong Kong, Hong Kong 6/8

7 August 2002 June 2007 June 2008 July 2008 January 2009 May 2009 November 2009 Other Conferences and Workshops Attended ICM2002. Beijing, China Nonuniformly Hyperbolic Dynamics and Smooth Ergodic Theory, Lisbon, Portugal International Conference on Infinite Ergodic Theory, Rennes, France School and Workshop on Dynamical Systems, Trieste, Italy Rencontre "Probabilités et Géométrie sur les Groupes" (Courses by : Uri Bader, Philippe Biane, Philippe Bougerol, Martin R. Bridson et Laurent Saloff-Coste). Orsay, France Conférence en théorie ergodique, systèmes dynamiques et phénomènes aléatoires. Institut Henri Poincaré, Paris, France Progress in Dynamics: A conference on 65th birthday of Anatole Katok. Institut Henri Poincaré, Paris, France May 2010 The 4th Year CODY Confererence "Conformal Methods in Analysis and Dynamics". Seillac, France April 2011 December 2011 June 2005 July 2006 July 2007 July 2008 August 2006 April 2007 November- December 2007 EPSRC Symposium Workshop on Dynamical Systems and Dimension, The University of Warwick, Coventry, United Kingdom EPSRC Symposium Workshop on Recent advances in modern dynamics, The University of Warwick, Coventry, United Kingdom Summer Schools Attended Summer School on Dynamical Systems (Courses by : Lorenzo J. Díaz, Anatole Katok, Sergei Yu. Pilyugin, and Zhi-Hong Xia), Shanghai, China National Summer School on Dynamical Systems (Courses by : Jian-Guo Cao, Raphaël Krikorian, François Ledrappier, and Ying-Fei, Yi), Nanjing, China Summer School on Dynamical Systems and Number Theory (Courses by : Vitaly Bergelson, Manfred Einsiedler, Doug Lind, and Tom Ward), Graz, Austria School and Workshop on Dynamical Systems, (Courses by : Etienne Ghys, Andres Navas, Artur Avila, Jairo Bochi, Vitaly Bergelson and Alexander Gorodnik), Trieste, Italy Research Visits Workshop on dynamical systems, Morningside center of Mathematics, Beijing China (invited by Prof. Yue-Fei Wang, one week). Scientific visit, Centre for Mathematical Sciences, Lund University, Lund Sweden (invited by Prof. Jörg Schmeling, two weeks). Workshop on fractal geometry and related field, Morningside center of Mathematics, Beijing China (invited by Prof. Zhi-Ying Wen, six weeks). 7/8

8 August 2008 July 2009 August 2009 July-August2010 August 2010 July 2011 August 2011 June, August 2012 July 2012 Workshop on Ergodic Theory in Complex and Smooth Dynamical Systems, Morningside center of Mathematics, Beijing China (invited by Profs. Yun-Ping Jiang and Yue-fei Wang, one week). Scientific visit, Department of Mathematics, University of Suwon, Hwaseong South Korea (invited by Prof. Dong Han Kim, one month) Program on Geometric Measure Theory 2009, Morningside center of Mathematics, Beijing Chine (invited by Profs. Ka-Sing Lau and Zhi-Ying Wen, one week) Program on Complex dynamics and related topics, Morningside center of Mathematics, Beijing Chine (invited by Profs. Gui-Zhen Cui, Yun-Ping Jiang and Yue-fei Wang, two weeks) Scientific visit, Department of Mathematics, Dongguk University, Séoul, Corée du Sud (invited by Prof. Dong Han Kim, one month) Scientific visit, Department of Mathematics, South China University of Technology, Guangzhou, Chine (invited by Prof. Min Wu, two weeks) 2011 Complex Dynamics and Related Topics Program, Morningside center of Mathematics, Beijing Chine (invited by Profs. Gui-Zhen Cui, Yun-Ping Jiang and Yue-fei Wang, ten days) 2012 Program of Stochastics, Dimension and Dynamics, Morningside center of Mathematics, Beijing China (invited by Prof. Ai-Hua Fan, Yun-Ping Jiang and Yue-Fei Wang, one month) Projet PHC Orchid 2012, National Center for Theoretical Sciences, Hsinchu Taiwan (invited by Prof. Jung-Chao Ban, one month) 8/8