733 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Indiana University – Purdue University IndianapolisUS64 papers
- Indiana University School of Medicine11 papers
- Purdue University West LafayetteUS5 papers
- Harvard UniversityUS4 papers
- Johns Hopkins UniversityUS4 papers
- Steklov Mathematical InstituteRU4 papers
- University of Illinois Urbana-ChampaignUS4 papers
- Argonne National LaboratoryUS3 papers
- Indiana UniversityUS3 papers
- St. Petersburg Department of Steklov Institute of MathematicsRU3 papers
- University of Maryland, College ParkUS3 papers
- University of Massachusetts AmherstUS3 papers
8 papers · 1 filter
-Plane Zeros of the Potts Partition Function on Diamond Hierarchical Graphs
Shu-Chiuan Chang, Roland K. W. Roeder, Robert Shrock
We report exact results concerning the zeros of the partition function of the Potts model in the complex plane, as a function of a temperature-like Boltzmann variable , for…
Mixed moments of characteristic polynomials of random unitary matrices
Emma C. Bailey, Sandro Bettin, Gordon Blower +4
Following the work of Conrey, Rubinstein and Snaith and Forrester and Witte we examine a mixed moment of the characteristic polynomial and its derivative for matrices from the unit…
Limiting Measure of Lee--Yang Zeros for the Cayley Tree
Ivan Chio, Caleb He, Anthony L. Ji +1
This paper is devoted to an in-depth study of the limiting measure of Lee--Yang zeroes for the Ising Model on the Cayley Tree. We build on previous works of Müller-Hartmann-Zittart…
The Maxwell operator with periodic coefficients in a cylinder
N. Filonov, A. Prokhorov
In the paper we consider the Maxwell operator in a three-dimensional cylinder with coefficients periodic along the axis of a cylinder. It is proved that for cylinders with circular…
Nearest Neighbor Distances on a Circle: Multidimensional Case
Pavel M. Bleher, Youkow Homma, Lyndon L. Ji +2
We study the distances, called spacings, between pairs of neighboring energy levels for the quantum harmonic oscillator. Specifically, we consider all energy levels falling between…
Correlations between zeros and supersymmetry
Pavel Bleher, Bernard Shiffman, Steve Zelditch
In our previous work [math-ph/9904020], we proved that the correlation functions for simultaneous zeros of random generalized polynomials have universal scaling limits and we gave…
Universality and scaling of correlations between zeros on complex manifolds
Pavel Bleher, Bernard Shiffman, Steve Zelditch
We study the limit as of the correlations between simultaneous zeros of random sections of the powers of a positive holomorphic line bundle over a compact co…
Poincare-Lelong approach to universality and scaling of correlations between zeros
Pavel Bleher, Bernard Shiffman, Steve Zelditch
This note is concerned with the scaling limit as N approaches infinity of n-point correlations between zeros of random holomorphic polynomials of degree N in m variables. More gene…