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math.RT1998
Point Processes and the Infinite Symmetric Group. Part IV: Matrix Whittaker kernel
Alexei Borodin
We study a 2-parametric family of probability measures on the space of countable point configurations on the punctured real line (the points of the random configuration are concent…
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…
math.RT1998
Point Processes and the Infinite Symmetric Group. Part II: Higher Correlation Functions
Alexei Borodin
We continue the study of the correlation functions for the point stochastic processes introduced in Part I (G.Olshanski, math.RT/9804086). We find an integral representation of all…