22 citations · 24 across the 6 of their papers we have counts for
6 papers
Coloured corner processes from asymptotics of LLT polynomials
Amol Aggarwal, Alexei Borodin, Michael Wheeler
We consider probability measures arising from the Cauchy summation identity for the LLT (Lascoux--Leclerc--Thibon) symmetric polynomials of rank . We study the asymptotic…
Local Statistics and Concentration for Non-intersecting Brownian Bridges With Smooth Boundary Data
Amol Aggarwal, Jiaoyang Huang
In this paper we consider non-intersecting Brownian bridges, under fairly general upper and lower boundaries, and starting and ending data. Under the assumption that these boundary…
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…
When Does the Set of -Core Partitions Have a Unique Maximal Element?
Amol Aggarwal
In 2007, Olsson and Stanton gave an explicit form for the largest -core partition, for any relatively prime positive integers and , and asked whether there exists an…
Armstrong's Conjecture for -Core Partitions
Amol Aggarwal
A conjecture of Armstrong states that if , then the average size of an -core partition is . Recently, Stanley and Zanello u…
On Isosceles Triangles and Related Problems in a Convex Polygon
Amol Aggarwal
Given any convex -gon, in this article, we: (i) prove that its vertices can form at most isosceles trianges with two sides of unit length and show that this…