Dynamical loop equation

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Cites Work

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Gaussian fluctuations of Young diagrams and structure constants of Jack characters
The cusp-Airy process
Topological expansion of the \(\beta\)-ensemble model and quantum algebraic geometry in the sectorwise approach
Anisotropic growth of random surfaces in \({2+1}\) dimensions
Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field
Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes
Gap universality of generalized Wigner and \(\beta\)-ensembles
\(q\)-distributions on boxed plane partitions
Universality of random matrices and local relaxation flow
Matrix eigenvalue model: Feynman graph technique for all genera
Statistical mechanics of combinatorial partitions, and their limit shapes
Multilevel Dyson Brownian motions via Jack polynomials
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Invariants of algebraic curves and topological expansion
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The shape of a typical boxed plane partition
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Asymptotics of random domino tilings of rectangular Aztec diamonds
Global fluctuations for 1D log-gas dynamics
BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters
On global fluctuations for non-colliding processes
Macdonald-positive specializations of the algebra of symmetric functions: proof of the Kerov conjecture
Fixed energy universality of Dyson Brownian motion
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Best constants in martingale version of Rosenthal's inequality
Universality of local statistics for noncolliding random walks
Fourier transform on high-dimensional unitary groups with applications to random tilings
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PROPERTIES OF LOOP EQUATIONS FOR THE HERMITIAN MATRIX MODEL AND FOR TWO-DIMENSIONAL QUANTUM GRAVITY
Central limit theorems for biorthogonal ensembles and asymptotics of recurrence coefficients
CLT for spectra of submatrices of Wigner random matrices
A Note on the Burkholder–Rosenthal Inequality
General β-Jacobi Corners Process and the Gaussian Free Field
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A Brownian-Motion Model for the Eigenvalues of a Random Matrix
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Boundary Value Problems, Weyl Functions, and Differential Operators
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A Census of Planar Maps
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The low-temperature expansion of the Wulff crystal in the 3D Ising model
Seiberg-Witten geometry of four-dimensional \(\mathcal{N}=2\) quiver gauge theories
Asymptotic expansion of matrix models in the multi-cut regime

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