Integrable probability: From representation theory to Macdonald processes
Name
Borodin_Integrable probability.pdf
Size
616.06 KB
Format
Adobe PDF
Checksum (MD5)
d3d89ad3b8940a3241f21f1a44460682
Author(s)
Borodin, Alexei
Petrov, Leonid
Date Issued
2014
Journal
Probability Surveys
Publisher
Institute of Mathematical Statistics
Citation
Borodin, Alexei, and Leonid Petrov. “Integrable Probability: From Representation Theory to Macdonald Processes.” Probab. Surveys 11 (2014): 1–58.
Version
Final published version
Abstract
These are lecture notes for a mini-course given at the Cornell Probability Summer School in July 2013. Topics include lozenge tilings of polygons and their representation theoretic interpretation, the (q, t)-deformation of those leading to the Macdonald processes, nearest neighbor dynamics on Macdonald processes, their limit to semi-discrete Brownian polymers, and large time asymptotic analysis of polymer's partition function.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1214/13-PS225
