School of Mathematics
Georgia Institute of Technology
686 Cherry Street
Atlanta, GA 30332
Office: Skiles 024
E-mail Address: bernstein [at] math [dot] gatech [dot] edu
I am a visiting assistant professor of mathematics
at Georgia Tech.
My research is in the fields of probability and combinatorics. This
includes finding Markov chain mixing times, such as for random walks on
the symmetric group
(also known as card shuffles), using tools from
representation theory, algebraic combinatorics, and probability.
- Cutoff for biased transpositions. M. Bernstein, N.
Bhatnagar, I. Pak. Submitted arxiv
- Analyzing Boltzmann Samplers for Bose-Einstein Condensates with
Dirichlet Generating Functions. M. Bernstein, M. Fahrbach, D. Randall, Proceedings of ANALCO18 arxiv
- On sampling graphical Markov models. M. Bernstein, P. Tetali. Submitted arxiv
- Cutoff for random to random card shuffle. M. Bernstein, E.
Nestoridi. Submitted arxiv
- A random walk on the symmetric group generated by random
involutions. M. Bernstein. Accepted, to appear in Electronic Journal of Probability arxiv
- The Mixing Time for a Random Walk on the Symmetric Group
Generated by Random Involutions. M. Bernstein. Proceedings of the 28-th International
Conference on Formal Power Series and Algebraic Combinatorics [pdf]
- Likelihood orders for the p-cycle walks on the symmetric group.
M. Bernstein. Accepted, to appear in Electronic Journal of Combinatorics [pdf]
My thesis under Persi
Random Walks on the Symmetric Group, Likelihood Orders, and Involutions