51 citations · 52 across the 6 of their papers we have counts for
6 papers
Geometry of the doubly periodic Aztec dimer model
Tomas Berggren, Alexei Borodin
The purpose of the present work is to provide a detailed asymptotic analysis of the doubly periodic Aztec diamond dimer model of growing size for any and a…
Biased periodic Aztec diamond and an elliptic curve
Alexei Borodin, Maurice Duits
We study a biased periodic random domino tilings of the Aztec diamond and associate a linear flow on an elliptic curve to this model. Our main result is a double integr…
On a conjecture of Widom
Alexei Borodin, Alexei Novikov
We prove a conjecture of H.Widom stated in [W] (math/0108008) about the reality of eigenvalues of certain infinite matrices arising in asymptotic analysis of large Toeplitz determi…
Expectations of hook products on large partitions
Mark Adler, Alexei Borodin, Pierre van Moerbeke
Given uniform probability on words of length M=Np+k, from an alphabet of size p, consider the probability that a word (i) contains a subsequence of letters (p, p-1,...,1) in that o…
Increasing subsequences and the hard-to-soft edge transition in matrix ensembles
Alexei Borodin, Peter J. Forrester
Our interest is in the cumulative probabilities Pr(L(t) \le l) for the maximum length of increasing subsequences in Poissonized ensembles of random permutations, random fixed point…
Longest increasing subsequences of random colored permutations
Alexei Borodin
We compute the limit distribution for (centered and scaled) length of the longest increasing subsequence of random colored permutations. The limit distribution function is a power…