75 citations · 180 across the 21 of their papers we have counts for
32 papers
On the maximal dimension of an irreducible representation of the symmetric group
Amol Aggarwal, Dor Elboim
We prove that the maximal dimension of an irreducible representation of the symmetric group satisfies $$d_N=\sqrt{N!} \, e^{-(\mathfrak{d}+o(1))\sqrt{N} }, \quad N\to \…
Edge Rigidity of Dyson Brownian Motion with General Initial Data
Amol Aggarwal, Jiaoyang Huang
In this paper, we study the edge behavior of Dyson Brownian motion with general . Specifically, we consider the scenario where the averaged initial density near the edge, on the…
Strong Characterization for the Airy Line Ensemble
Amol Aggarwal, Jiaoyang Huang
In this paper we show that a Brownian Gibbsian line ensemble whose top curve approximates a parabola must be given by the parabolic Airy line ensemble. More specifically, we prove…
Mobility Edge for Lévy Matrices
Amol Aggarwal, Charles Bordenave, Patrick Lopatto
Lévy matrices are symmetric random matrices whose entry distributions lie in the domain of attraction of an -stable law. For , predictions from the physics literature sugg…
Optimal-Degree Polynomial Approximations for Exponentials and Gaussian Kernel Density Estimation
Amol Aggarwal, Josh Alman
For any real numbers and and function , let denote the minimum degree of a polynomial…
The ASEP speed process
Amol Aggarwal, Ivan Corwin, Promit Ghosal
For ASEP with step initial data and a second class particle started at the origin we prove that as time goes to infinity the second class particle almost surely achieves a velocity…
Free Fermion Six Vertex Model: Symmetric Functions and Random Domino Tilings
Amol Aggarwal, Alexei Borodin, Leonid Petrov +1
Our work deals with symmetric rational functions and probabilistic models based on the fully inhomogeneous six vertex (ice type) model satisfying the free fermion condition. Two fa…
Deformed Polynuclear Growth in Dimensions
Amol Aggarwal, Alexei Borodin, Michael Wheeler
We introduce and study a one parameter deformation of the polynuclear growth (PNG) in -dimensions, which we call the -PNG model. It is defined by requiring that, when two…
Edge Statistics for Lozenge Tilings of Polygons, II: Airy Line Ensemble
Amol Aggarwal, Jiaoyang Huang
We consider uniformly random lozenge tilings of simply connected polygons subject to a technical assumption on their limit shape. We show that the edge statistics around any point…
Gaussian Unitary Ensemble in random lozenge tilings
Amol Aggarwal, Vadim Gorin
This paper establishes a universality result for scaling limits of uniformly random lozenge tilings of large domains. We prove that whenever a boundary of the domain has three adja…
Colored Fermionic Vertex Models and Symmetric Functions
Amol Aggarwal, Alexei Borodin, Michael Wheeler
In this text we introduce and analyze families of symmetric functions arising as partition functions for colored fermionic vertex models associated with the quantized affine Lie su…
Nonexistence and Uniqueness for Pure States of Ferroelectric Six-Vertex Models
Amol Aggarwal
In this paper we consider the existence and uniqueness of pure states with some fixed slope for a general ferroelectric six-vertex model. First, we show there…
Large Genus Asymptotics for Intersection Numbers and Principal Strata Volumes of Quadratic Differentials
Amol Aggarwal
In this paper we analyze the large genus asymptotics for intersection numbers between -classes, also called correlators, on the moduli space of stable curves. Our proofs proceed…
Eigenvector Statistics of Lévy Matrices
Amol Aggarwal, Patrick Lopatto, Jake Marcinek
We analyze statistics for eigenvector entries of heavy-tailed random symmetric matrices (also called Lévy matrices) whose associated eigenvalues are sufficiently small. We show tha…
Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials
Amol Aggarwal, Vincent Delecroix, Elise Goujard +2
We state conjectures on the asymptotic behavior of the Masur-Veech volumes of strata in the moduli spaces of meromorphic quadratic differentials and on the asymptotics of their are…
Universality for Lozenge Tiling Local Statistics
Amol Aggarwal
In this paper we consider uniformly random lozenge tilings of arbitrary domains approximating (after suitable normalization) a closed, simply-connected subset of wit…
Limit Shapes and Local Statistics for the Stochastic Six-Vertex Model
Amol Aggarwal
In this paper we consider the stochastic six-vertex model on a cylinder with arbitrary initial data. First, we show that it exhibits a limit shape in the thermodynamic limit, whose…
Arctic Boundaries of the Ice Model on Three-Bundle Domains
Amol Aggarwal
In this paper we consider the six-vertex model at ice point on an arbitrary three-bundle domain, which is a generalization of the domain-wall ice model on the square (or, equivalen…
Stochasticization of Solutions to the Yang-Baxter Equation
Amol Aggarwal, Alexei Borodin, Alexey Bufetov
In this paper we introduce a procedure that, given a solution to the Yang-Baxter equation as input, produces a stochastic (or Markovian) solution to (a possibly dynamical version o…
Large Genus Asymptotics for Siegel-Veech Constants
Amol Aggarwal
In this paper we consider the large genus asymptotics for two classes of Siegel-Veech constants associated with an arbitrary connected stratum of Abelian differen…
GOE Statistics for Levy Matrices
Amol Aggarwal, Patrick Lopatto, Horng-Tzer Yau
In this paper we establish eigenvector delocalization and bulk universality for Lévy matrices, which are real, symmetric, random matrices whose upper tria…
Large Genus Asymptotics for Volumes of Strata of Abelian Differentials
Amol Aggarwal
In this paper we consider the large genus asymptotics for Masur-Veech volumes of arbitrary strata of Abelian differentials. Through a combinatorial analysis of an algorithm propose…
Dynamical Stochastic Higher Spin Vertex Models
Amol Aggarwal
We introduce a new family of integrable stochastic processes, called \textit{dynamical stochastic higher spin vertex models}, arising from fused representations of Felder's ellipti…
Bulk Universality for Generalized Wigner Matrices With Few Moments
Amol Aggarwal
In this paper we consider real generalized Wigner matrices whose entries are only assumed to have finite -th moment for some fixed, but arbitrarily…