Probability distributions related to tilings of non-convex Polygons
| Autor: | Pierre van Moerbeke, Mark Adler |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Stochastic process
010102 general mathematics Regular polygon FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) 01 natural sciences Combinatorics Joint probability distribution 0103 physical sciences Probability distribution 010307 mathematical physics 0101 mathematics Mathematical Physics Mathematics |
| DOI: | 10.48550/arxiv.1810.04692 |
| Popis: | This paper is based on the study of random lozenge tilings of non-convex polygonal regions with interacting non-convexities (cuts) and the corresponding asymptotic kernel as in [3] and [4] (discrete tacnode kernel). Here this kernel is used to find the probability distributions and joint probability distributions for the fluctuation of tiles along lines in between the cuts. These distributions are new. Comment: 32 pages, 4 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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