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Current fluctuations of the stationary ASEP and six-vertex model

- A. Aggarwal
- Mathematics
- 16 August 2016

Our results in this paper are two-fold. First, we consider current fluctuations of the stationary asymmetric simple exclusion process (ASEP), run for some long time $T$, and show that they are of… Expand

Convergence of the Stochastic Six-Vertex Model to the ASEP

- A. Aggarwal
- Mathematics
- 29 July 2016

In this note we establish the convergence of the stochastic six-vertex model to the one-dimensional asymmetric simple exclusion process, under a certain limit regime recently predicted by… Expand

Bulk universality for generalized Wigner matrices with few moments

- A. Aggarwal
- Mathematics
- 1 December 2016

In this paper we consider $$N \times N$$N×N real generalized Wigner matrices whose entries are only assumed to have finite $$(2 + \varepsilon )$$(2+ε)th moment for some fixed, but arbitrarily small,… Expand

Colored Fermionic Vertex Models and Symmetric Functions

- A. Aggarwal, A. Borodin, M. Wheeler
- Mathematics
- 5 January 2021

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 superalgebra Uq (… Expand

GOE statistics for Lévy matrices

- A. Aggarwal, Patrick Lopatto, H. Yau
- MathematicsJournal of the European Mathematical Society
- 19 June 2018

In this paper we establish eigenvector delocalization and bulk universality for L\'{e}vy matrices, which are real, symmetric, $N \times N$ random matrices $\textbf{H}$ whose upper triangular entries… Expand

Large Genus Asymptotics for Siegel–Veech Constants

- A. Aggarwal
- MathematicsGeometric and Functional Analysis
- 11 October 2018

In this paper we consider the large genus asymptotics for two classes of Siegel-Veech constants associated with an arbitrary connected stratum $\mathcal{H} (\alpha)$ of Abelian differentials. The… Expand

Eigenvector Statistics of L\'{e}vy Matrices

- A. Aggarwal, Patrick Lopatto, Jake Marcinek
- Mathematics, Computer Science
- 21 February 2020

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Phase transitions in the ASEP and stochastic six-vertex model

- A. Aggarwal, A. Borodin
- MathematicsThe Annals of Probability
- 29 July 2016

In this paper we consider two models in the Kardar-Parisi-Zhang (KPZ) universality class, the asymmetric simple exclusion process (ASEP) and the stochastic six-vertex model. We introduce a new class… Expand

When Does the Set of $(a, b, c)$-Core Partitions Have a Unique Maximal Element?

- A. Aggarwal
- MathematicsElectron. J. Comb.
- 3 August 2014

In 2007, Olsson and Stanton gave an explicit form for the largest $(a, b)$-core partition, for any relatively prime positive integers $a$ and $b$, and asked whether there exists an $(a, b)$-core that… Expand

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