Asymptotic formula for a partition function of reversible coagulation-fragmentation processes

DOI10.1007/BF02764079zbMath1003.60009arXivmath/0207227OpenAlexW2003984033MaRDI QIDQ696289

Gregory A. Freiman, Boris L. Granovsky

Publication date: 20 January 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0207227

zbMATH Keywords

partition functionasymptotic formulalocal limit theoremcoagulation and fragmentation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Analytic theory of partitions (11P82) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (13)

Asymptotic analysis of expectations of plane partition statistics ⋮ Deterministic and Stochastic Becker–Döring Equations: Past and Recent Mathematical Developments ⋮ Developments in the Khintchine-Meinardus probabilistic method for asymptotic enumeration ⋮ A Meinardus theorem with multiple singularities ⋮ Subcritical, critical and supercritical size distributions in random coagulation-fragmentation processes ⋮ Asymptotic enumeration by Khintchine-Meinardus probabilistic method: necessary and sufficient conditions for sub-exponential growth ⋮ Meinardus' theorem on weighted partitions: Extensions and a probabilistic proof ⋮ Clustering in coagulation-fragmentation processes, random combinatorial structures and additive number systems: Asymptotic formulae and limiting laws ⋮ The Size of the Largest Part of Random Weighted Partitions of Large Integers ⋮ Random combinatorial structures: the convergent case ⋮ Limit shapes of Gibbs distributions on the set of integer partitions: The expansive case ⋮ An analytic method in probabilistic combinatorics ⋮ The asymptotic number of weighted partitions with a given number of parts

Cites Work

• The equilibrium behavior of reversible coagulation-fragmentation processes
• Independent process approximations for random combinatorial structures
• Structure Theory of Set Addition and Local Limit Theorems for Independent Lattice Random Variables
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