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19912026
Showing 2010 · math-phShow all

8 papers · 2 filters

math-ph2010★ 11 cited

Spectra of Random Hermitian Matrices with a Small-Rank External Source: The critical and near-critical regimes

Marco Bertola, Robert Buckingham, Seung-Yeop Lee +1

Random Hermitian matrices are used to model complex systems without time-reversal invariance. Adding an external source to the model can have the effect of shifting some of the mat…

math-ph2010★ 40 cited

Symmetry preserving parameterization schemes

Roman O. Popovych, Alexander Bihlo

Methods for the design of physical parameterization schemes that possess certain invariance properties are discussed. These methods are based on different techniques of group class…

math-ph2010★ 55 cited

The transition between the gap probabilities from the Pearcey to the Airy process; a Riemann-Hilbert approach

M. Bertola, M. Cafasso

We consider the gap probability for the Pearcey and Airy processes; we set up a Riemann--Hilbert approach (different from the standard one) whereby the asymptotic analysis for larg…

math-ph2010★ 6 cited

Canonical surfaces associated with projectors in grassmannian sigma models

V. Hussin, I. Yurducsen, W. J. Zakrzewski

We discuss the construction of higher-dimensional surfaces based on the harmonic maps of into and other grassmannians. We show that there are two ways of implement…

math-ph2010★ 52 cited

Third order superintegrable systems separating in polar coordinates

Frederick Tremblay, Pavel Winternitz

A complete classification is presented of quantum and classical superintegrable systems in that allow the separation of variables in polar coordinates and admit an additional…

math-ph2010★ 8 cited

Double scaling limits of random matrices and minimal (2m,1) models: the merging of two cuts in a degenerate case

Olivier Marchal, Mattia Cafasso

In this article, we show that the double scaling limit correlation functions of a random matrix model when two cuts merge with degeneracy (i.e. when for arbitra…

math-ph2010★ 6 cited

Kinetic models for dilute solutions of dumbbells in non-homogeneous flows revisited

Pierre Degond, Alexei Lozinski, Robert G. Owens

We propose a two fluid theory to model a dilute polymer solution assuming that it consists of two phases, polymer and solvent, with two distinct macroscopic velocities. The solvent…

math-ph2010★ 10 cited

Orthogonal polynomials of compact simple Lie groups

Maryna Nesterenko, Jiri Patera, Agnieszka Tereszkiewicz

Recursive algebraic construction of two infinite families of polynomials in variables is proposed as a uniform method applicable to every semisimple Lie group of rank . Its…