56 citations · 202 across the 23 of their papers we have counts for
25 papers
Combinatorics of the Berezin-Karpelevich Integral
Jonathan Novak
The Berezin-Karpelevich integral is a double integral over unitary matrices which plays the role of the Itzykson-Zuber integral in rectangular matrix models. We obtain a topologica…
Topological Expansion of Oscillatory BGW and HCIZ Integrals at Strong Coupling
Jonathan Novak
We prove that the BGW and HCIZ integrals admit large N topological expansions for complex coupling and complex external fields, provided the coupling is sufficiently strong. The ex…
Procesi's Conjecture on the Formanek-Weingarten Function is False
Maciej Dołęga, Jonathan Novak
In this paper, we disprove a recent monotonicity conjecture of C. Procesi on the generating function for monotone walks on the symmetric group, an object which is equivalent to the…
The Weingarten Calculus
Benoit Collins, Sho Matsumoto, Jonathan Novak
This is a short introduction to Weingarten Calculus. Weingarten Calculus is a method to compute the joint moments of matrix variables distributed according to the Haar measure of c…
Increasing Subsequences and Kronecker Coefficients
Jonathan Novak, Brendon Rhoades
It has been conjectured by W. Chen that the distribution of the length of the longest increasing subsequence in a uniformly random permutation is log-concave. We propose a stronger…
On the Complex Asymptotics of the HCIZ and BGW Integrals
Jonathan Novak
In this paper, we prove a longstanding conjecture on the asymptotic behavior of a pair of oscillatory matrix integrals: the Harish-Chandra/Itzykson-Zuber (HCIZ) integral, and the B…