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Abstract: We consider a totally asymmetric exclusion process on the positive half-line.When particles enter in the system according to a Poisson source, Liggett hascomputed all the limit distributions when the initial distribution has anasymptotic density. In this paper we consider systems for which particles enterat the boundary according to a complex mechanism depending on the currentconfiguration in a finite neighborhood of the origin. For this kind of models,we prove a strong law of large numbers for the number of particles entered inthe system at a given time. Our main tool is a new representation of the modelas a multi-type particle system with infinitely many particle types.



Autor: Nicky Sonigo UMPA-Ensl

Fuente: https://arxiv.org/







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