• 2019-2020

  • 24. Magdalena Foryś-Krawiec, Jiri Kupka, Piotr Oprocha, Xueting Tian, On entropy of Φ-irregular and Φ-level sets in maps with the shadowing property,  Discrete and Continuous Dynamical System-Series A ,  To Appear (https:…)

  • 23. An Chen, Xueting Tian, Distributional chaos in multifractal analysis, recurrence and transtivity, Ergodic Theory and Dynamical System, To Appear (

  • 22.  Eleonora Catsigeras, Xueting Tian  and Edson Vargas,  Topological Entropy on Points without Physical-like Behaviour,    Mathematische Zeitschrift, 2019, Volume 293, Issue 3–4, pp 1043–1055. pdf

  • 21.  Yu Huang, Xueting Tian and Xiaoyi Wang, Transitively-Saturated Property, Banach Recurrence and Lyapunov Regularity, Nonlinearity, 32 (7), 2019, 2721-2757. PDF

  • 20. Xueting Tian,  S. Wang, X. Wang, Intermediate Lyapunov exponents for systems with periodic orbit gluing property, Discrete and Continuous Dynamical System – Series A,      2019, 39 (2), 1019-1032 .   PDF

  • 2016–2018

  • 19.   Xueting Tian, When a physical-like measure is physical or SRB? ,     Journal of Differential Equations, 2018, 265(8),3567-3586.   PDF

  • 18.   Yiwei Dong, Piotr Oprocha and Xueting Tian, On the irregular points for systems with the shadowing property, Ergodic Theory and Dynamical Systems, 2018, 38(6), 2108-2131. pdf

  • 17.  C. Liang, G. Liao, W. Sun and Xueting Tian, Variational equalities of Entropy in Nonuniformly Hyperbolic Systems, Transactions of the American Mathematical Society , 2017, Volume 369 (5), 3127-3156. pdf ( MR3605966)

  • 16. Xueting Tian, Nonexistence of Lyapunov exponents for matrix cocycles,  Annales de l’Institut Henri Poincaré- Probabilités et Statistiques, 2017, Volume 53 (1), 493-502.PDF ( MR3606750)

  • 15. Xueting Tian and Paulo Varandas, Topological entropy of level sets of empirical measures for non-uniformly expanding maps, Discrete and Continuous Dynamical System – Series A, 2017,Volume 37 (10), 5407 – 5431. PDF

  • 14. Xueting Tian, Topological Pressure for the Completely Irregular Set of Birkhoff Averages,  Discrete and Continuous Dynamical System-A, 2017, vol 37(5), 2745-2763. PDF ( MR3619081)

  • 13.Xueting Tian, Different Asymptotic Behaviour versus Same Dynamicl Complexity: Recurrence & (Ir)Regularity, Advances in Mathematics,    vol. 288, 2016, 464-526.pdf ( MR3436391)

  • 12.  Wenxiang Sun, Xueting Tian and Edson Vargas, Non-uniformly hyperbolic flows and shadowing, Journal of Differential Equations,    Volume 261 (1), 2016, 218–235. pdf ( MR3487257)

  • 11.  Eleonora Catsigeras, Xueting Tian, Dominated Splitting, Partial Hyperbolicity and Positive Entropy,  Discrete and Continuous Dynamical System – Series A,   2016, Vol 36(9), 4739 – 4759. pdf ( MR3541503)

  • 2013 —— 2015

  • 10. (with Yiwei Dong, Xiaoping Yuan) Ergodic properties of systems with asymptotic average shadowing property, Journal of Mathematical Analysis and Applications,   2015, Vol. 432(1), 53-73.pdf ( MR3371221)

  • 9. Pesin’s entropy formula for systems between C1 and C1+r,  Journal of Statistical Physics,   2014, Vol. 156(6),  1184-1198. pdf ( MR3240876)

  • 8.(with Krerley OliveiraNon-uniform hyperbolicity and Non-uniform specification, Transactions of the American Mathematical Society,   365( 8), 2013, 4371–4392. pdf( MR3055699)

  • 7.(with Chao Liang, Wenxiang Sun) Ergodic properties of invariant measures for C1+r non-uniformly hyperbolic systems, Ergodic Theory and Dynamical Systems,   33(2), 560-584, 2013. pdf( MR3035298)

  • 2010 —— 2012

  • 6. (with Wenxiang Sun)Dominated splitting and Pesin’s entropy formula, Discrete and Continuous Dynamical System – Series A,   2012, Vol 32(4), 1421-1434. pdf( MR2851904)

  • 5.(with Sheng Qian, Wenxiang Sun) Deviation Property of Periodic Measures in C1 Non-uniformly hyperbolic systems with limit domination, Acta Mathematica Sinica, English Series,     Sep., 2012, Vol. 28, No. 9, pp. 1727–1740. pdf( MR2956176)

  • 4.(with Wenxiang Sun) The Structure on Invariant Measures of C1 Generic Diffeomorphisms, Acta Mathematica Sinica, English Series,    Apr., 2012, Vol. 28, No. 4, pp. 817–824。 pdf( MR2892488)

  • 3. (with Wenxiang Sun) Diffeomorphisms With Various C1 Stable properties,   Acta Mathematica Scientia,   2012, 32B (2):552–558 . pdf( MR2921897)

  • 2.(with G. Liao, W. Sun)Metric entropy and the number of periodic points, Nonlinearity, 2010, Vol 23 (7), 1547-1558. pdf( MR2652470)

  • 1.(with W. Sun)Non-uniformly hyperbolic periodic points and uniform hyperbolicity for C1 diffeomorphsimsNonlinearity, 2010, Vol 23 (5), 1235-1244。 pdf( MR2630100)

  • ————————————————– — ——

    Some preprint papers:

    8. (With W. Wu) “Unstable entropies and Dimension Theory of Partially Hyperbolic Systems” arXiv:1811.03797(2018).

    7. (With An Chen) “Distributional chaos in non-recurrent points.” Preprint (2018).

    6. (With Y. Dong) “Different Statistical Future of Dynamical Orbits over Expanding or Hyperbolic Systems (II): Nonempty Syndetic Center.” arXiv:1803.06796(2018).

    5. (With Saghin, Sun, Vargas) “ENTROPY DEGENERACY FOR FLOWS: ACRITERION AND APPLICATIONS.” preprint 2017.

    4. (With Y. Dong) “Different Statistical Future of Dynamical Orbits over Expanding or Hyperbolic Systems (I): Empty Syndetic Center.” arXiv:1701.01910(2017).

    3. (With Yiwei Dong) “Multifractal Analysis of The New Level Sets” arXiv:1510.06514(2015).

    2. Lyapunov `Non-typical’ Points of Matrix Cocycles and Topological Entropy, arXiv:1505.04345 (2015)

    1. (with Wenxiang Sun)Diffeomorphisms with Liao-Pesin set,arXiv:1004.0486[covering previous version of two papers:(1)Hyperbolic Periodic Points and Hyperbolic Measures with Dominated Splitting, arXiv:1011.6011 (2010)(2)Pesin set, closing lemma and shadowing lemma in $C^1$ non-uniformly hyperbolic systems with limit domination, arXiv:1004.0486(2010) ]


    Some more preprint papers, see ArXiv

    Further more information, see 其他情况介绍

    Xueting Tian (Professor)

    School of Mathematical Sciences, Fudan University, Shanghai 200433, People’s Republic of China


    Research Interests:

    Dynamical Systems  &  Ergodic theory

    Further more information

    My Math Review

    Google Scholar