Felix Xiaofeng Ye

Whitehead Hall 302D,

Department of Applied Mathematics and Statistics

3400 North Charles Street,

Baltimore, MD 21218

_{Email: }_{xye16@jhu.edu}

**About**

I am a Postdoctoral Fellow of Applied Mathematics and Statistics at Johns Hopkins University. My advisors are Mauro Maggioni.

Previously, I was a PhD student at the University of Washington, advised by Hong Qian.

[CV, updated 2020/02/03].

**Research Interests**

My research interests are applications of dynamical systems and stochastic processes. Particularly, I am interested in applied mathematics underlying the stochastic dynamics of data as a discrete-state, discrete-time Markov process.

- Random dynamical systems
- Entropy theory in stochastic dynamics
- Dynamic looping of a polymer
- Stochastic model reduction

**Teaching**

In Fall 2018: I am teaching Dynamical Systems (EN 553.391). Here is the syllabus and schedule.

In Spring 2019: I am teaching Applied Math for Engineers (EN 560.601). Here is the syllabus.

In Fall 2019: I am teaching Dynamical Systems (EN 553.391) again.

In Spring 2020: I am not teaching.

**Publications, Preprints**

**Synchronization in discrete-time, discrete-state random dynamical systems**

Wen Huang, Hong Qian, Shirou Wang, Felix X.-F. Ye and Yingfei Yi

*SIAM Journal on Applied Dynamical Systems, *19(1): 233-251, 2020 [arXiv]

**Estimate exponential memory decay in Hidden Markov Model and its applications**

Felix X.-F. Ye, Yi-an Ma and Hong Qian

*Preprint* (*2017*) [arXiv]

**Stochastic Dynamics II: Finite Random Dynamical Systems, Linear Representation, and Entropy Production**

Felix X.-F. Ye and Hong Qian

*Discrete & Continuous Dynamical Systems - Series B 24(8), 4311-4366, 2019 *[arXiv]

**Time Dependent Saddle Node Bifurcation: Breaking Time and the Point of No Return in a Non-Autonomous Model of Critical Transitions**

Jeremiah H. Li, Felix X.-F. Ye, Hong Qian and Sui Huang

*Physica D: Nonlinear Phenomena, 395, 7-14, 2019 * [arXiv]

**Dynamic Looping of a Free-Draining Polymer**

Felix X.-F. Ye, Panos Stinis, and Hong Qian

*SIAM Journal on Applied Mathematics* (*2018*) *78 (1), 104-123* [doi]

**Stochastic dynamics: Models for intrinsic and extrinsic noises and their applications**

Yi-an Ma, Hong Qian and Felix X.-F.Ye

*SCIENTIA SINICA Mathematica* (*2017*) *47 (12), 1693-1702* [doi]

**Stochastic Dynamics: Markov Chains and Random Transformations.**

Felix X.-F. Ye, Yue Wang and Hong Qian

*Discrete & Continuous Dynamical Systems - Series B* (*2016*) *21 (7), 2337-2361* [doi]

**Evolution of recombination rates in a multi-locus, haploid-selection, symmetric-viability model**

J.R.Chasnov and Felix X.-F. Ye

*Theoretical population biology* (*2013*) *21, 155-165 *[doi]

**Others,**

This is an article I wrote after I graduate from University of Washington.

Some pictures of me:

Hiking in North Cascades National Park