Assistant Professor Ping Zhong

Ping Zhong, Ph.D., Indiana University - Bloomington Assistant Professor of Mathematics Ross Hall 226 pzhong@uwyo.edu | +1-307-766-3192 | Personal Website Research interests: Probability (free probability and random matrices), Operator algebras, Quantum information theory, and High-dimensional Statistics

Education

Ph.D. Mathematics, Indiana University - Bloomington, 2014
M.S. Mathematics,  Peking University, 2008
B.S. Applied Mathematics, Huazhong University of Science and Technology, 2005

About Dr. Zhong

Ping Zhong joined the University of Wyoming faculty in 2018. He came to the University of Wyoming from the University of Waterloo, Canada, where he was a postdoctoral fellow in the Department of Pure Mathematics. 

His research interests are (free) probability theory, operator algebras, quantum information theory and high-dimensional statistics. Recently, he is also interested in applications of random matrix theory and free probability theory for statistics. 

Representative Publications

• Spectrum of Laplacian matrices associated with large random elliptic matrices, with Sean O'Rourke and Zhi Yin. [arXiv:2308.16171]
• The Brown measure of a sum of two free random variables, one of which is R-diagonal, with Hari Bercovici. [arXiv:2209.12379]

• Brown measure of the sum of an elliptic operator and a free random variable in a finite von Neumann algebra, submitted. [arXiv:2108.09844]
• The Brown measure of a sum of two free random variables, one of which is triangular elliptic, with Serban Belinschi and Zhi Yin,revision for Advances in Mathematics. [arXiv:2209.11823]
• Superconvergence and regularity of densities in free probability, with Hari Bercovici and Jiun-Chau Wang, Trans. Amer. Math. Soc. 376 (2023), 4901-4956  
• Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions, with Ching-Wei Ho, Journal of the European Mathematical Society (JEMS),  25, no. 6, 2163–2227 (2023)
• The PPT square conjecture holds generically for some classes of independent states, with Benoit Collins and Zhi Yin,  J Phys. A: Math. Theor. 51 425301 (2018).
• On the free convolution with a free multiplicative analogue of the normal distribution. J Theoret. Probab. 28, no. 4, 1354–1379 (2015). 
• Local limit theorems for multiplicative free convolutions. with Michael Anshelevich and Jiun-Chau Wang, J Funct. Anal. 267, no. 9, 3469–3499 (2014).

Contact Us

Department of Mathematics & Statistics

Fall and Spring: 8 am - 5 pm

Summer Hours: 7:30 am - 4:30 pm

Ross Hall Rm. #327

Dept. 3036, 1000 E. University Ave.

Laramie, WY 82071-3036

Phone: 307-766-4221

Fax: 307-766-6838

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Math Program Information

 

Email: gauss@uwyo.edu

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Math Placement Questions ONLY

 

Phone: 307-766-6831

Email: math-registration@uwyo.edu

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Statistics Program Information

 

Email: statistics@uwyo.edu