Ciech, Federico and Georgiou, Nicos (2021) Last passage percolation in an exponential environment with discontinuous rates. Annales de l’Institut Henri Poincaré, 57 (4). pp. 2165-2188. ISSN 2308-5827

	PDF - Submitted Version Restricted to SRO admin only Download (1MB)
	PDF - Accepted Version Download (1MB)

Abstract

We prove a strong law of large numbers for directed last passage times in an independent but inhomogeneous exponential environment. Rates for the exponential random variables are obtained from a discretisation of a speed function that may be discontinuous on a locally finite set of discontinuity curves. The limiting shape is cast as a variational formula that maximises a certain functional over a set of weakly increasing curves.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Related URLs:	Publisher
SWORD Depositor:	Mx Elements Account
Depositing User:	Mx Elements Account
Date Deposited:	16 Jun 2021 07:50
Last Modified:	21 Feb 2022 11:31
URI:	http://sro.sussex.ac.uk/id/eprint/89732

View download statistics for this item

📧 Request an update