271 citations · 649 across the 16 of their papers we have counts for
6 papers · 1 filter
Airy kernel with two sets of parameters in directed percolation and random matrix theory
A. Borodin, S. Peche
We introduce a generalization of the extended Airy kernel with two sets of real parameters. We show that this kernel arises in the edge scaling limit of correlation kernels of dete…
A Note on the Pfaffian Integration Theorem
Alexei Borodin, Eugene Kanzieper
Two alternative, fairly compact proofs are presented of the Pfaffian integration theorem that is surfaced in the recent studies of spectral properties of Ginibre's Orthogonal Ensem…
Large time asymptotics of growth models on space-like paths I: PushASEP
Alexei Borodin, Patrik L. Ferrari
We consider a new interacting particle system on the one-dimensional lattice that interpolates between TASEP and Toom's model: A particle cannot jump to the right if the neighborin…
Correlation Functions of Asymmetric Real Matrices
Alexei Borodin, Christopher D. Sinclair
We give a closed form for the correlation functions of ensembles of asymmetric real matrices in terms of the Pfaffian of an antisymmetric matrix formed from a matrix k…
Infinite-dimensional diffusions as limits of random walks on partitions
Alexei Borodin, Grigori Olshanski
The present paper originated from our previous study of the problem of harmonic analysis on the infinite symmetric group. This problem leads to a family {P_z} of probability measur…
Transition between Airy_1 and Airy_2 processes and TASEP fluctuations
Alexei Borodin, Patrik L. Ferrari, Tomohiro Sasamoto
We consider the totally asymmetric simple exclusion process, a model in the KPZ universality class. We focus on the fluctuations of particle positions starting with certain determi…