Probability seminar
Reading seminar on integrable probability in Spring 2017
In the Spring 2017 me and Axel Saenz will continue with the Integrable Probability Reading Seminar. This time the topic will be “From random tilings to Kardar-Parisi-Zhang universality.” In terms of content, this is not a continuation of the Fall’s seminar. In the Spring, the seminar’s aim is to give a user-friendly introduction to modern and rapidly developing topics in probability theory with connections to combinatorics, algebra, representation theory on one side, and statistical physics and many other applications on the other side.
5 years of Macdonald Processes
Today marks a 5-year anniversary of the paper “Macdonald Processes” by A. Borodin and I. Corwin. It was posted on the arXiv on November 18, 2011 (arxiv.org/abs/1111.4408) and was subsequently published at Probability Theory and Related Fields (2014), Volume 158, Issue 1, pp 225–400. As of this day, Google Scholar counts 178 citations to this paper.
Stochastic higher spin six vertex model and q-TASEPs
We present two new connections between the inhomogeneous stochastic higher spin six vertex model in a quadrant and integrable stochastic systems from the Macdonald processes hierarchy.
MATH 2310 • Calculus 3 (2 sections)
Pictures and movies of random lozenge tilings
In Spring 2015 and Summer 2016 I used the Python and Mathematica as briefly described here to produce a number of pictures and “movies” of random lozenge tilings. Some of these pictures even appeared at an art exhibition at Harvard’s Radcliffe Institute accompanying Alexei Borodin’s fellowship.
These pictures and “movies” of random tilings are collected in this post.
Dear colleagues:
Feel free to use these pictures to illustrate your research in talks and papers, with attribution (CC BY-SA 4.0 (opens in new tab)). Some of the images are available in very high resolution upon request.
