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math.RT1998
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…
math.RT1998
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…