zbMath1031.20007MaRDI QIDQ4418959
Sergei Kerov
Publication date: 30 July 2003
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Markov processes on partitions,
Boolean Witt vectors and an integral Edrei-Thoma theorem,
Universal edge scaling in random partitions,
Projective representations and spin characters of complex reflection groups \(G(m,p,n)\) and \(G(m,p,\infty)\), III.,
Closed expressions for averages of set partition statistics,
A representation of exchangeable hierarchies by sampling from random real trees,
Asymptotics of Plancherel-type random partitions,
The representation ring of the unitary groups and Markov processes of algebraic origin,
Two-parameter family of infinite-dimensional diffusions on the Kingman simplex,
De Finetti-type theorems for random selection processes. Necessary and sufficient conditions,
Semifinite harmonic functions on branching graphs,
Harmonic functions on multiplicative graphs and inverse Pitman transform on infinite random paths,
Spherical representations of \(C^\ast\)-flows. II: Representation system and quantum group setup,
Asymptotic theory of path spaces of graded graphs and its applications,
The length of the longest increasing subsequence of a random Mallows permutation,
Matrix addition and the Dunkl transform at high temperature,
Block characters of the symmetric groups.,
Commentary on “Longest increasing subsequences: from patience sorting to the Baik–Deift–Johansson theorem” by David Aldous and Persi Diaconis,
A central limit theorem for extremal characters of the infinite symmetric group.,
\(\mathfrak{sl}(2)\) operators and Markov processes on branching graphs,
The Schur-Weyl graph and Thoma's theorem,
Multiplicative characters and Gaussian fluctuation limits,
Ergodic measures on compact metric spaces for isometric actions by inductively compact groups,
Limits of traces of Temperley-Lieb algebras,
On the asymptotics of multiplicities for large tensor product of representations of simple Lie algebras,
The lower central series of subgroups of the Vershik-Kerov group.,
Asymptotics of \(q\)-Plancherel measures.,
The theory of filtrations of subalgebras, standardness, and independence,
Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category,
Multiple partition structures and harmonic functions on branching graphs,
Groups generated by involutions of diamond-shaped graphs, and deformations of Young's orthogonal form,
Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary,
Stochastic higher spin six vertex model and Macdonald measures,
Markov processes of infinitely many nonintersecting random walks,
Emergent phase space description of unitary matrix model,
Schur dynamics of the Schur processes,
Kinetic theory and Lax equations for shock clustering and Burgers turbulence,
Macdonald-positive specializations of the algebra of symmetric functions: proof of the Kerov conjecture,
On one property of normal subgroups of \(\mathrm{UT}_\infty(R)\).,
Combinatiorial Markov chains,
Finite traces and representations of the group of infinite matrices over a finite field,
Macdonald processes,
Monotonous subsequences and the descent process of invariant random permutations,
The \(q\)-Gelfand-Tsetlin graph, Gibbs measures and \(q\)-Toeplitz matrices,
Spin representations of twisted central products of double covering finite groups and the case of permutation groups.,
Multidimensional hypergeometric distribution and characters of the unitary group,
Quantum mechanics of Plancherel growth,
Ergodicity and totality of partitions associated with the RSK correspondence,
Periodic Schur process and cylindric partitions,
Hyperdeterminantal expressions for Jack functions of rectangular shapes,
Asymptotics of Plancherel measures for the infinite-dimensional unitary group,
Inductive limits of compact quantum groups and their unitary representations,
A probabilistic interpretation of the Macdonald polynomials,
On the limiting law of the length of the longest common and increasing subsequences in random words,
A differential model for the deformation of the Plancherel growth process,
Harmonic analysis on the infinite symmetric group,
Stochastic higher spin six vertex model and \(q\)-TASEPs,
Inversion of the Pieri formula for Macdonald polynomials,
Gibbs ensembles of nonintersecting paths,
Quantum computation and real multiplication,
Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations,
Large tensor products and Littlewood-Richardson coefficients,
Complete integrability of shock clustering and Burgers turbulence,
Observables of Macdonald processes,
Semifinite harmonic functions on the Gnedin-Kingman graph,
Conditioned random walks from Kac-Moody root systems,
On properties of a deformed Freud weight,
Alcove random walks, \(k\)-Schur functions and the minimal boundary of the \(k\)-bounded partition poset,
Three theorems on the uniqueness of the Plancherel measure from different viewpoints,
Limits of characters of wreath products \(\mathfrak S_n(T) \) of a compact group \(T\) with the symmetric groups and characters of \(\mathfrak S_\infty(T)\). II: From a viewpoint of probability theory,
Difference operators and determinantal point processes,
Statistical properties of eigenvalues of Laplace-Beltrami operators,
Positive specializations of symmetric Grothendieck polynomials,
Law of large numbers for infinite random matrices over a finite field,
On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras,
Equipped graded graphs, projective limits of simplices, and their boundaries,
Infinite-dimensional diffusions as limits of random walks on partitions,
Indecomposable Supercharacters of the Infinite Unitriangular Group,
Infinite-dimensional groups over finite fields and Hall-Littlewood symmetric functions,
Quantized Vershik-Kerov theory and quantized central measures on branching graphs,
Lectures on integrable probability,
The decomposition matrices of the Brauer algebra over the complex field,
Effect of microscopic pausing time distributions on the dynamical limit shapes for random Young diagrams,
The spectrum of boundary states in symmetric orbifolds,
Representation theory, dynamical systems, combinatorial and algorithmic methods. Part 9. Transl. from the Russian,
Record‐dependent measures on the symmetric groups,
Matrix models and stochastic growth in Donaldson-Thomas theory,
Reflection length with two parameters in the asymptotic representation theory of type B/C and applications,
Representations of classical Lie groups and quantized free convolution