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Research Interests

Partially hyperbolic dynamics
Smooth ergodic theory

Education:

PhD in Mathematics, Universidad de la Republica, Uruguay, 1999
BS in Mathematics, Universidad Nacional de Rosario, Argentina, 1994

Professional appointments:

SUSTC, Full Professor, 2016-present
Simons Associateship ICTP, Trieste, Italy, 2014-2019
Universidad de la Republica, Uruguay, Full Professor, 2011-2016
Member of the National Research System, Uruguay, 2009-
Universidad de la Republica, Uruguay, Associate Professor, 2008-2011
Universidad de la Republica, Uruguay, Assistant Professor, 2000-2008
Universidad de la Republica, Uruguay, Teaching Assistant, 1994-2000
Universidad Nacional de Rosario, Argentina, Teaching Assistant, 1992-1994

Honors and Awards:

Vice-president of the Organization for Women in Science for the Developing World (UNESCO), 2016
Evaluator for the Prize “For Women in Science” L’Oreal-Unesco, 2011
Buenos Aires Stock Exchange Foundation Prize, 1992

Selected 5 publications:

1. (with P. Carrasco, F. Rodriguez Hertz and R. Ures) Partially hyperbolic dynamics in dimension 3, to appear in Ergodic Theory and Dynamical Systems

2. Genericity of non-uniform hyperbolicity in dimension 3, Journal of Modern Dynamics, 6,1, (2012), 121-138

3. (with F. Rodriguez Hertz, A. Tahzibi and R. Ures) Uniqueness of SRB measures for transitive diffeomorphisms, Communications in Mathematical Physics, 306, 1, (2011), 35-49

4. (with F. Rodriguez Hertz, A. Tahzibi and R. Ures) New criteria for ergodicity and non-uniform hyperbolicity, Duke Mathematical Journal, 160,3, (2011), 599-629

5. (with F. Rodriguez Hertz and R. Ures) Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D-center bundle, Inventiones Mathematicaes, 172, 2, (2008), 187-208.

Grants

1. Ergodicity of dynamic systems other than uniformly hyperbolic

一致双曲以外的动力系统的遍历性

National Natural Science Foundation of China, Regular Program No. 11871262,

国家自然科学基金-面上项目

2. Stochastic stability of infinite calculus dynamic system

无穷微积分动力系统的随机稳定性

National Natural Science Foundation of China, Regular Program No. 11871394,

国家自然科学基金-面上项目

3. Partial Hyperbolic Dynamics from Geometric and Probabilistic Perspectives

几何和概率观点的部分双曲动力学

National Natural Science Foundation of China, Regular Program No. 12161141002,

国家自然科学基金-面上项目

4. Mechanisms activating stable ergodicity

National Natural Science Foundation of China, Foreign scholars research fund project No. 12250710130,

国家自然科学基金-面上项目

Teaching Experience in SUSTech

Spring 2017 Dynamical Systems

Fall 2017 Measure Theory and Integral

Spring 2018 Introduction to Dynamical Systems

Fall 2018 Advanced Mathematics (I) A and Dynamical Systems

Spring 2019 Ordinary Differential Equation(A)

Fall 2019 Dynamical Systems, Introduction to Dynamical Systems and Elaboration of mathematical analysis

Spring 2020 Ordinary Differential Equation A(H)

Fall 2020 Dynamical Systems, Introduction to Dynamical Systems and Elaboration of mathematical analysis

Spring 2021 Ordinary Differential Equation A(H)

Fall 2021 Higher Mathematics (I) A and Hyperbolic dynamics

Spring 2022 Dynamical Systems

Fall 2022 Smooth Ergodic Theory and Higher Mathematics (I)

Fall 2023 Higher Mathematics (I) and Introduction to Dynamical Systems

Academic papers

• J. Rodriguez Hertz, R. Ures, J. Yang, Robust minimality of strong foliations for DA-diffeomorphisms: cu-volume expansion and new examples, Trans. Amer. Math. Soc. 375 (2022), no. 6, 4333–4367.

• G. Núñez, D. Obata, J. Rodriguez Hertz, New examples of stably ergodic diffeomorphisms in dimension 3, Nonlinearity 3, 34, 1352-1361 (2021).

• G. Núñez, J. Rodriguez Hertz, Stable minimality of expanding foliations, J Dyn Diff Equat 33(6), 2075–2089 (2021).

• A. Hammerlindl, J. Rodriguez Hertz, R. Ures, Ergodicity and partial hyperbolicity on Seifert manifolds, Journal of Modern Dynamics (2020) 16, 331-348.

• J. Rodriguez Hertz, C. Vásquez, Structure of accessibility classes, Disc. Cont. Dyn. Sys, 40, 8 (2020).

• G. Núñez, J. Rodriguez Hertz, Minimality and stable ergodicity, Disc. Cont. Dyn. Sys, 40, 3 (2020) 1879-1887.

• J. Rodriguez Hertz, R. Ures, On the three-legged accessibility property, to appear in Proceedings of Springer Verlag devoted to the 70th birthday of Wellington de Melo (2019) 239-248.

• P. Carrasco, F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures, Partially hyperbolic dynamics in dimensión 3, Ergodic Theory and Dynamical Systems, 38,8 (2018) 2801-2837.

• F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures, Center-unstable foliations do not have compact leaves, Mathematical Research Letters, 23, 6, (2016) 1819-1832.

• F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures, A non-dynamically coherent example on T3, Annales de l`Institut Henri Poincar. Analyse Non Linaire , 33,4,(2016) 1023-1032.

• J. Rodriguez Hertz, Some advances on generic properties of the Oseledets splitting, Disc. Cont. Dyn. Sys. A, (2013) 33, 9.

• J. Rodriguez Hertz, Genericity of non-uniform hyperbolicity in dimension 3, Journal of Modern Dynamics, 6, 1 (2012) 121-138.

• F. Rodriguez Hertz, J. Rodriguez Hertz, A. Tahzibi, R. Ures, Maximizing measures for partially hyperbolic systems with compact leaves, Ergodic Theory & Dynamical Systems, 32 ,2 (2012) 825-839.

• F. Rodriguez Hertz, J. Rodriguez Hertz, A. Tahzibi, R. Ures, New criteria for ergodicity and non-uniform hyperbolicity, Duke Math. Journal , 160 , 3, (2011) 599-629.

• F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures, Accessibility and abundance of ergodicity in dimension 3: a survey, Publicaciones Matematicas del Uruguay, 12 (2011) 177-198.

• F. Rodriguez Hertz, J. Rodriguez Hertz, A. Tahzibi, R. Ures, Uniqueness of SRB measures for transitive diffeomorphisms of surfaces, Comm. Math. Phys. , 306 , 1, (2011) 35-49.

• F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures, Tori with hyperbolic dynamics in 3-manifolds, J. Modern Dyn. ,5 , 1 (2011) 185-202.

• F. Rodriguez Hertz, J. Rodriguez Hertz, A. Tahzibi, R. Ures, Creation of blenders in the conservative setting Nonlinearity, 23 , 2, (2010) 211-223.

• T. Fisher, J. Rodriguez Hertz, Quasi-Anosov diffeomorphisms of 3-manifolds, Transactions of the AMS, 361 , 7, (2009) 3707-3720.

• K. Burns, F. Rodriguez Hertz, J. Rodriguez Hertz, A. Talitskaya, R. Ures, Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center, Disc. Cont. Dyn. Sys. A volume dedicated to Ya. Pesin, 22 1/2 (2008) 75-88.

• F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures, Partial hyperbolicity and ergodicity in dimension three, J. Modern Dynamics, 2, 2 (2008) 187-208.

• F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures, On the existence and uniqueness of weak foliations in dimension 3, Contemp. Math, volume dedicated to M. Brin, 469 (2008) 303-316.

• F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures, Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1D- enter bundle, Inventiones Math., 172, 2 (2008) 187-208.

• F. Rodriguez Hertz, J. Rodriguez Hertz, A. Tahzibi, R. Ures, A criterion for ergodicity of non-uniformly hyperbolic diffeomorphisms, ERA, 14 (2007).

• F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures, A survey of partially hyperbolic dynamics, “Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow," (eds G. Forni, M. Lyubich, C. Pugh and M. Shub), Fields Inst. Comm., AMS, (2007), 35-88.

• F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures, Some results on the integrability of the center bundle for partially hyperbolic diffeomorphisms, “Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow," (eds G. Forni, M. Lyubich, C. Pugh and M. Shub), Fields Inst. Comm., AMS, (2007), 103-112.

• F. Rodriguez Hertz, J. Rodriguez Hertz, Cohomology free systems and the first Betti number, Disc. Cont. Dyn. Sys., 15, 1 (2006) 193-96.

• F. Rodriguez Hertz, J. Rodriguez Hertz, Expansive attractors on surfaces, Erg. Th. & Dyn. Sys., 26, 1 (2006) 291-302.

• J. Rodriguez Hertz, R. Ures, J. Vieitez, On manifolds supporting quasi Anosov diffeomorphisms, C.R. Math. Acad. Sci. Paris, 334, 4 (2002) 321-323.

• J. Rodriguez Hertz, C0 generic properties of stable and unstable sets of diffeomorphisms, Nonlinearity, 15, 1 (2002) 89-114.

Academic books

• F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures, Partially hyperbolic dynamics , 28o Coloquio Brasileiro de Matematica, 2011.

人员

人员 > 科研教学系列 > HERTZ Jana

HERTZ Jana

教授

0755-88018121 rhertz@sustech.edu.cn http://faculty.sustech.edu.cn/rhertz/

人员

人员 > 科研教学系列 > HERTZ Jana

HERTZ Jana 教授

0755-88018121 rhertz@sustech.edu.cn http://faculty.sustech.edu.cn/rhertz/

HERTZ Jana

教授