Fan Yang

Address:: Department of Mathematics
Physical Sciences Center
601 Elm Street
University of Oklahoma
Norman, Oklahoma 73019
Office: PHSC 528
Email address: fan.yang-2@ou.edu
Phone Number: 405-325-1144

I am currently a postdoc at the University of Oklahoma. I obtained my Ph.D. from the University of Southern California in 2015, and was a postdoc at Instituto de Matematica Pura e Aplicada (IMPA) and Universidade Federal do Rio de Janeiro in Brazil.

Research Interests

Smooth ergodic theory for flows with singularities.
Statistical properties of partially hyperbolic systems: existence and uniqueness of physical measures, large deviation properties, decay of correlations.
Limit theorems in deterministic and random dynamical systems: escape rates, hitting times statistics, extreme value distributions, central limit theorem, and other limit theorems.
Entropy theory and its relations with certan topological structures.

Curriculum Vitae

My CV is here.

Papers and Preprints

A countable partition for singular flows, and its application on the entropy theory (with Y. Shi and J. Yang). Submitted.
arXiv preprint.
Rare event process and entry times distribution for arbitrary null sets on compact manifolds. Submitted.
arXiv preprint.
Entropy theory for sectional hyperbolic flows (with M.J. Pacifico and J. Yang). Submitted.
arXiv preprint.
Geometric law for numbers of returns until a hazard under φ-mixing (with Y. Kifer). Submitted.
arXiv preprint.
Decay of correlations for maximal measure of maps derived from Anosov (with J. Yang). Submitted.
arXiv preprint.
Exponential law for random maps on compact manifolds (with J. Rousseau and N. Haydn). Submitted.
arXiv preprint.
A new criterion of physical measures for partially hyperbolic diffeomorphisms (with Y. Hua and J. Yang).
To appear on Trans. Amer. Math. Soc.
DOI. arXiv preprint.
Local escape rate for φ-mixing dynamical systems (with N. Haydn).
To appear on Ergodic Theory and Dynamical Systems.
DOI. arXiv preprint.
Hitting times distribution and extreme value law for semi-flows (with M.J. Pacifico).
Discrete Contin. Dyn. Syst. series A, 37 (2017), no. 11, 5861-5881.
DOI. arXiv preprint.
A derivation of the Poisson law for returns of smooth maps with certain geometrical properties (with N. Haydn).
Dynamical systems, ergodic theory, and probability: in memory of Kolya Chernov, 141-160, Contemp. Math., 698, Amer. Math. Soc., Providence, RI, 2017.
DOI. arXiv preprint.
Entry times distribution for dynamical balls on metric spaces (with N. Haydn).
J. Stat. Phys. 167 (2017), no. 2, 297-316.
DOI. arXiv preprint.
Entry times distribution for mixing systems (with N. Haydn).
J. Stat. Phys. 163 (2016), no. 2, 374-392.
DOI. arXiv preprint.

Teaching

In Fall 2019, I am teaching Math 3333 (Linear Algebra).

In the past, I have taught varies courses at University of Oklahoma and University of Southern California. Courses include: precalculus, calculus (I, II, III), intro to ordinary differential equations, mathematical physics, functional analysis, probability theory, real ananlsys, etc.

Personal

I have been practicing Kendo (a traditional Japanese martial art, meaning "the way of sword") for over 10 years and is currently 3-dan. I am a member of All United States Kendo Federation and International Kendo Federation.

Last modified: August 2019.