A probabilistic interpretation of the Macdonald polynomials
From MaRDI portal
Publication:690866
DOI10.1214/11-AOP674zbMath1255.05194arXiv1007.4779MaRDI QIDQ690866
Publication date: 29 November 2012
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.4779
Markov chainrates of convergenceMacdonald polynomialsauxiliary variablesrandom permutationsmeasures on partitions
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
Related Items
A generating function approach to counting theorems for square-free polynomials and maximal tori, Hahn polynomials and the Burnside process, Shannon information entropy, soliton clusters and Bose-Einstein condensation in log gravity, Hierarchical species sampling models, The ubiquitous Ewens sampling formula, Markov chains, ${\mathscr R}$-trivial monoids and representation theory, Mixing time of Metropolis chain based on random transposition walk converging to multivariate Ewens distribution
Cites Work
- Ergodicity of multiplicative statistics
- A combinatorial formula for Macdonald polynomials
- Random permutations with cycle weights
- Statistical mechanics of combinatorial partitions, and their limit shapes
- Quantum probability and spectral analysis of graphs. With a foreword by Professor Luigi Accardi.
- The sampling theory of neutral alleles and an urn model in population genetics
- A Markov chain on the symmetric group and Jack symmetric functions
- A variational problem for random Young tableaux
- Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
- A recursion and a combinatorial formula for Jack polynomials
- On the quotient ring by diagonal invariants.
- Logarithmic combinatorial structures: A probabilistic approach
- Orthogonal polynomials associated with root systems
- Some combinatorial properties of Jack symmetric functions
- Random walks on trees and matchings
- Bayesian nonparametrics
- The Poisson-Dirichlet law is the unique invariant distribution for uniform split-merge transfor\-mations.
- Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials
- Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
- On the distribution of large prime divisors
- Random matrix theory over finite fields
- Random permutations and related topics
- A combinatorial formula for nonsymmetric Macdonald polynomials
- Generating a random permutation with random transpositions
- The Structure of Random Partitions of Large Integers
- Markov Chains
- Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem
- A combinatorial formula for Macdonald polynomials
- Asymptotics of Plancherel measures for symmetric groups
- Combinatorial theory of Macdonald polynomials I: Proof of Haglund's formula
- Breakthroughs in the theory of Macdonald polynomials
- Random Fragmentation and Coagulation Processes
- Infinite wedge and random partitions
- Analysis of systematic scan Metropolis algorithms using Iwahori-Hecke algebra techniques
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
