35 citations · 41 across the 2 of their papers we have counts for
7 papers
Non-intersecting, simple, symmetric random walks and the extended Hahn kernel
Kurt Johansson
Consider particles performing simple, symmetric, non-intersecting random walks, starting at points , at time 0 and ending at at time . T…
Toeplitz determinants, random growth and determinantal processes
Kurt Johansson
We summarize some of the recent developments which link certain problems in combinatorial theory related to random growth to random matrix theory.
Non-intersecting Paths, Random Tilings and Random Matrices
Kurt Johansson
We investigate certain measures induced by families of non-intersecting paths in domino tilings of the Aztec diamond, rhombus tilings of an abc-hexagon, a dimer model on a cylindri…
Transversal fluctuations for increasing subsequences on the plane
Kurt Johansson
Consider a realization of a Poisson process in R^2 with intensity 1 and take a maximal up/right path from the origin to (N,N) consisting of line segments between the points, where…
Discrete orthogonal polynomial ensembles and the Plancherel measure
Kurt Johansson
We consider discrete orthogonal polynomial ensembles which are discrete analogues of the orthogonal polynomial ensembles in random matrix theory. These ensembles occur in certain p…
On the distribution of the length of the second row of a Young diagram under Plancherel measure
Jinho Baik, Percy Deift, Kurt Johansson
We investigate the probability distribution of the length of the second row of a Young diagram of size equipped with Plancherel measure. We obtain an expression for the generat…