I. Pak

activity

20022022

most citedThe Kauffman bracket of virtual links and the Bollobás-Riordan polynomial

54 citations · 164 across the 28 of their papers we have counts for

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2 papers · 1 filter

math.PR2019

Phase transition in random contingency tables with non-uniform margins

Sam Dittmer, Hanbaek Lyu, Igor Pak

For parameters $n, δ, B,$ and $C$ , let $X = (X_{k ℓ})$ be the random uniform contingency table whose first $⌊ n^{δ} ⌋$ rows and columns have margin $⌊ B C n ⌋$ a…

math.PR2017★ 1 cited

Cutoff for biased transpositions

Megan Bernstein, Nayantara Bhatnagar, Igor Pak

In this paper we study the mixing time of a biased transpositions shuffle on a set of $N$ cards with $N /2$ cards of two types. For a parameter $0 < a \leq 1$ , one type of card is chos…