Janossy Densities II. Pfaffian Ensembles
Alexander Soshnikov
TL;DR
This paper extends the theory of Janossy densities from determinantal ensembles to pfaffian ensembles, broadening the mathematical framework for analyzing complex probabilistic models.
Contribution
It generalizes the main results from determinantal to pfaffian ensembles, providing new tools for studying Janossy densities in these settings.
Findings
Established a Pfaffian analogue of Janossy densities
Extended previous determinantal results to Pfaffian ensembles
Provided mathematical formulas for Pfaffian Janossy densities
Abstract
We extend the main result of the companion paper math-ph/0212063 "Janossy Densities I. Determinantal Ensembles" (joint with Alexei Borodin) to the case of the pfaffian ensembles.
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Taxonomy
TopicsRandom Matrices and Applications · Stochastic processes and statistical mechanics · Theoretical and Computational Physics