A finite variant of the Toom Model

Ayyer, Arvind (2015) A finite variant of the Toom Model. In: 8th International Conference on Statistical Physics (STATPHYS), DEC 01-05, 2014, Kolkata, INDIA.

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Abstract

We present results for a finite variant of the one-dimensional Toom model with closed boundaries. We show that the steady state distribution is not of product form, but is nonetheless simple. In particular, we give explicit formulas for the densities and some nearest neighbour correlation functions. We also give exact results for eigenvalues and multiplicities of the transition matrix using the theory of R-trivial monoids in joint work with A. Schilling, B. Steinberg and N. M. Thiery.

Item Type:	Conference Proceedings
Series.:	Journal of Physics Conference Series
Publisher:	IOP PUBLISHING LTD
Additional Information:	Copy right for this article belongs to the IOP PUBLISHING LTD, DIRAC HOUSE, TEMPLE BACK, BRISTOL BS1 6BE, ENGLAND
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	15 Oct 2015 06:47
Last Modified:	15 Oct 2015 06:47
URI:	http://eprints.iisc.ac.in/id/eprint/52568

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