Spatial random permutations with small cycle weights

DOI10.1007/s00440-009-0248-0zbMath1226.82003arXiv0812.0569OpenAlexW2119740160WikidataQ62458513 ScholiaQ62458513MaRDI QIDQ718866

Volker Betz, Daniel Ueltschi

Publication date: 27 September 2011

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.0569

zbMATH Keywords

random permutationscycle weightsinfinite cyclesspatial permutations

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (16)

Mod-\(\phi\) convergence: approximation of discrete measures and harmonic analysis on the torus ⋮ Variance of additive functions defined on random assemblies ⋮ The generalized weighted probability measure on the symmetric group and the asymptotic behavior of the cycles ⋮ Restrictive patterns of combinatorial structures via comparative analysis ⋮ Limit distributions for Euclidean random permutations ⋮ Macroscopic loops in the Bose gas, spin \(O(N)\) and related models ⋮ Random permutations with cycle weights ⋮ Strongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018 ⋮ On mean values of multiplicative functions on the symmetric group ⋮ Asymptotic statistics of cycles in surrogate-spatial permutations ⋮ Shift in critical temperature for random spatial permutations with cycle weights ⋮ Random permutations of a regular lattice ⋮ Sharp bounds for the variance of linear statistics on random permutations ⋮ Scaling limit of ballistic self-avoiding walk interacting with spatial random permutations ⋮ Cycle length distributions in random permutations with diverging cycle weights ⋮ Cycle structure of random permutations with cycle weights

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