Limit shapes in random processes

introduction

• Rost’s theorem on the limiting shape of TASEP

related items

• Random processes
• Simple exclusion process
• Longest increasing subsequences

expositions

• Ferrar, Limit shapes for interacting particle systems and and their universal fuctuations

articles

• Marchal, Philippe. “Rectangular Young Tableaux and the Jacobi Ensemble.” arXiv:1510.06598 [math], October 22, 2015. http://arxiv.org/abs/1510.06598.
• Ayyer, Arvind, and Svante Linusson. “Correlations in the Multispecies TASEP and a Conjecture by Lam.” arXiv:1404.6679 [math], April 26, 2014. http://arxiv.org/abs/1404.6679.
• Lam, Thomas. “The Shape of a Random Affine Weyl Group Element and Random Core Partitions.” The Annals of Probability 43, no. 4 (July 2015): 1643–62. doi:10.1214/14-AOP915.