zbMath1120.05301arXivmath-ph/0309015MaRDI QIDQ3424678
Andrei Okounkov
Publication date: 5 March 2007
Full work available at URL: https://arxiv.org/abs/math-ph/0309015
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bijection between oriented maps and weighted non-oriented maps,
Unitary matrix integrals, symmetric polynomials, and long-range random walks,
The top-degree part in the matchings-Jack conjecture,
Gaussian fluctuations of Young diagrams and structure constants of Jack characters,
A CLT for Plancherel representations of the infinite-dimensional unitary group,
Gaussian fluctuations of Jack-deformed random Young diagrams,
Stein's method and random character ratios,
Arithmetic of partitions and the $q$-bracket operator,
Character expansion of matrix integrals,
Determinantal probability measures on Grassmannians,
Law of large numbers and central limit theorems through Jack generating functions,
Takagi lectures on Donaldson-Thomas theory,
Towards Yang-Baxter integrability of quantum crystal melting: from Kagome lattice to vertex models,
A unitary matrix model for \(q\)-deformed Plancherel growth,
Periodic Schur process and cylindric partitions,
A probabilistic interpretation of the Macdonald polynomials,
Character expansion method for the first order asymptotics of a matrix integral,
Stein's method, Jack measure, and the Metropolis algorithm,
Spatial random permutations with small cycle weights,
Quantum crystals and spin chains,
Limit shapes, real and imagined,
Random strict partitions and random shifted tableaux,
Statistical properties of eigenvalues of Laplace-Beltrami operators,
Spatial random permutations and infinite cycles,
Plancherel representations of \(U(\infty)\) and correlated Gaussian free fields,
Correlation functions of the Pfaffian Schur process using Macdonald difference operators,
Matrix kernels for measures on partitions,
Commutation relations and Markov chains,
Martingales and character ratios,
Transition distributions of Young diagrams under periodically weighted Plancherel measures,
Normal Convergence for Random Partitions with Multiplicative Measures,
Exact equivalences and phase discrepancies between random matrix ensembles
