An inhomogeneous multispecies TASEP on a ring

Ayyer, Arvind and Linusson, Svante (2014) An inhomogeneous multispecies TASEP on a ring. In: ADVANCES IN APPLIED MATHEMATICS, 57 . pp. 21-43.

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Abstract

We reinterpret and generalize conjectures of Lam and Williams as statements about the stationary distribution of a multispecies exclusion process on the ring. The central objects in our study are the multiline queues of Ferrari and Martin. We make some progress on some of the conjectures in different directions. First, we prove Lam and Williams' conjectures in two special cases by generalizing the rates of the Ferrari-Martin transitions. Secondly, we define a new process on multiline queues, which have a certain minimality property. This gives another proof for one of the special cases; namely arbitrary jump rates for three species. (C) 2014 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Publication:	ADVANCES IN APPLIED MATHEMATICS
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Additional Information:	Copyright for this article belongs to the ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Keywords:	Exclusion process; Multispecies particles; Lumping; Bully paths; Multiline queues; Complete homogeneous symmetric polynomials
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	14 Aug 2014 10:13
Last Modified:	14 Aug 2014 10:13
URI:	http://eprints.iisc.ac.in/id/eprint/49555

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