On the Joint Distributions of Increasing and Decreasing Successions of Arbitrary Multisets

The joint distribution of increasing and decreasing successions in arbitrary multisets has remained an open problem for a long time. Here, we present a systematic approach inspired by methods in statistical physics to solve this problem. Using the two-step approach to pattern distributions in random...

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Bibliographic Details
Published in:	Methodology and computing in applied probability Vol. 27; no. 3; p. 57
Main Author:	Kong, Yong
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.09.2025 Springer Nature B.V
Subjects:	Business and Management Economics Electrical Engineering Life Sciences Mathematics and Statistics Statistical methods Statistics 60C05 Random permutations of multisets 68R05 Generating functions 68R15 Combinatorial probability Exact enumeration problems System of recurrences Increasing and decreasing successions Increasing and decreasing 2-sequences 05A05 05A15 62E15
ISSN:	1387-5841, 1573-7713
Online Access:	Get full text
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