Date: Friday, March 09, 2012
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: TASEP on a circle with many types of particles
Abstract: Consider words of length N>n with letters from the alphabet {1,...,n}. We study the Markov chain where a letter i can jump to the left if the letter to its left is larger. This is called a multitype TASEP and if all jump rates are equal, Ferrari and Martin have designed a model which gives a nice combinatorial description of the stationary measure. I will describe this model and discuss the problem when the different letters (particles) have different jump rates. Our work leads to progress on a recent positivity conjecture by Lam and Williams stemming originally from work by Lam on reduced infinite words in Affine Coxeter groups.
This is joint work with Arvind Ayyer.
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Speaker: Svante Linusson
Institution: KTH
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