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Asymptotic Properties of Random Restricted Partitions
Mathematics, 2023 We study two types of probability measures on the set of integer partitions of n with at most m parts. The first one chooses the partition with a chance related to its largest part only.
Tiefeng Jiang, Ke Wang
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Bioinspired Deep Neural Networks for Predicting Income-Reporting Discontinuities in the Chilean Student Loan Program [PDF]
BiomimeticsThis study addresses discontinuity prediction in income reporting within the Chilean student loan program, a critical event for credit risk management. Although the literature has incorporated machine learning models to anticipate non-compliance behavior,
Yoslandy Lazo +8 more
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Random Partitions and Cohen–Lenstra Heuristics [PDF]
Annals of Combinatorics, 2019 21 pages, minor revisions to Section ...
, Nathan Kaplan, Kaplan Nathan
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Infinite partitions of random graphs
Journal of Combinatorial Theory - Series A, 2006 Ramsey theory for finite partitions (or colourings) of the \(n\)-element subsets of the set of vertices in a random graph \(G\) is extended to canonical infinite partitions.
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MEJ (Mathematics Education Journal), 2022 The aim of this paper is to present the statistical model simmulation about the definite integral concept based on upersum and lowersum random partitions by using geogebra.
Widiya Astuti Alam Sur
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Kerov's central limit theorem for Schur-Weyl and Gelfand measures (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We show that the shapes of integer partitions chosen randomly according to Schur-Weyl measures of parameter $\alpha =1/2$ and Gelfand measures satisfy Kerov's central limit theorem.
Pierre-Loïc Méliot
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Fluctuations of central measures on partitions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We study the fluctuations of models of random partitions $(\mathbb{P}_n,ω )_n ∈\mathbb{N}$ stemming from the representation theory of the infinite symmetric group.
Pierre-Loïc Mèliot
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Unitary matrix models and random partitions: Universality and multi-criticality
Journal of High Energy Physics, 2021 The generating functions for the gauge theory observables are often represented in terms of the unitary matrix integrals. In this work, the perturbative and non-perturbative aspects of the generic multi-critical unitary matrix models are studied by ...
Taro Kimura, Ali Zahabi
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A phase transition in the distribution of the length of integer partitions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We assign a uniform probability to the set consisting of partitions of a positive integer $n$ such that the multiplicity of each summand is less than a given number $d$ and we study the limiting distribution of the number of summands in a random ...
Dimbinaina Ralaivaosaona
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Optimal and Random Partitions of Random Graphs [PDF]
The Computer Journal, 1994 The behavior of random graphs with respect to graph partitioning is considered. Conditions are identified under which random graphs cannot be partitioned well, i.e., a random partition is likely to be almost as good as an optimal partition.
Joseph L. Ganley, Lenwood S. Heath
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