Translator Disclaimer
2016 Limit shapes for inhomogeneous corner growth models with exponential and geometric weights
Elnur Emrah
Electron. Commun. Probab. 21(none): 1-16 (2016). DOI: 10.1214/16-ECP4

Abstract

We generalize the exactly solvable corner growth models by choosing the rate of the exponential distribution $a_i+b_j$ and the parameter of the geometric distribution $a_i b_j$ at site $(i, j)$, where $(a_i)_{i \ge 1}$ and $(b_j)_{j \ge 1}$ are jointly ergodic random sequences. We identify the shape function in terms of a simple variational problem, which can be solved explicitly in some special cases.

Citation

Download Citation

Elnur Emrah. "Limit shapes for inhomogeneous corner growth models with exponential and geometric weights." Electron. Commun. Probab. 21 1 - 16, 2016. https://doi.org/10.1214/16-ECP4

Information

Received: 13 January 2016; Accepted: 10 May 2016; Published: 2016
First available in Project Euclid: 19 May 2016

zbMATH: 1338.60229
MathSciNet: MR3510250
Digital Object Identifier: 10.1214/16-ECP4

Subjects:
Primary: 60K35, 60K37

JOURNAL ARTICLE
16 PAGES


SHARE
Back to Top