A. Aggarwal

activity

20102026

most citedCurrent Fluctuations of the Stationary ASEP and Six-Vertex Model

75 citations · 180 across the 21 of their papers we have counts for

collaborators

Showing 2014 · math.COShow all

3 papers · 2 filters

math.CO2014

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

Amol Aggarwal

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…

math.CO2014★ 22 cited

Armstrong's Conjecture for $(k, mk + 1)$ -Core Partitions

Amol Aggarwal

A conjecture of Armstrong states that if $g cd (a, b) = 1$ , then the average size of an $(a, b)$ -core partition is $(a - 1) (b - 1) (a + b + 1) /24$ . Recently, Stanley and Zanello u…

math.CO2014★ 1 cited

Correlation Functions of the Schur Process Through Macdonald Difference Operators

Amol Aggarwal

Introduced by Okounkov and Reshetikhin, the Schur process is known to be a determinantal point process, meaning that its correlation functions are minors of a single correlation ke…

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

Armstrong's Conjecture for (k,mk+1)-Core Partitions

Correlation Functions of the Schur Process Through Macdonald Difference Operators

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

Armstrong's Conjecture for $(k, mk + 1)$ -Core Partitions