209 citations · 1.2k across the 68 of their papers we have counts for
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Point processes and the infinite symmetric group. Part V: Analysis of the matrix Whittaker kernel
Grigori Olshanski
The matrix Whittaker kernel has been introduced by A. Borodin in Part IV of the present series of papers. This kernel describes a point process -- a probability measure on a space…
Point processes and the infinite symmetric group. Part VI: Summary of results
Alexei Borodin, Grigori Olshanski
We give a summary of the results from Parts I-V (math.RT/9804086, math.RT/9804087, math.RT/9804088, math.RT/9810013, math.RT/9810014). Our work originated from harmonic analysis on…
Point processes and the infinite symmetric group. Part III: Fermion point processes
Alexei Borodin, Grigori Olshanski
In Part I (G.Olshanski, math.RT/9804086) and Part II (A.Borodin, math.RT/9804087) we developed an approach to certain probability distributions on the Thoma simplex. The latter has…
Point processes and the infinite symmetric group. Part I: The general formalism and the density function
Grigori Olshanski
We study a 2-parametric family of probability measures on an infinite-dimensional simplex (the Thoma simplex). These measures originate in harmonic analysis on the infinite symmetr…