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The largest eigenvalue of real symmetric, Hermitian and Hermitian self-dual random matrix models with rank one external source, part I
largest eigenvalue of real symmetric Hermitian and Hermitian self-dual random matrix rank one external source
2011/2/22
We consider the limiting location and limiting distribution of the largest eigenvalue in real
symmetric (β = 1), Hermitian (β = 2), and Hermitian self-dual (β = 4) random matrix models
with rank 1 e...
A generalized plasma and interpolation between classical random matrix ensembles
generalized plasma interpolation classical random matrix ensembles
2011/1/17
The eigenvalue probability density functions of the classical random matrix ensembles have
a well known analogy with the one component log-gas at the special couplings = 1, 2 and 4.
Random matrix theory of unquenched two-colour QCD with nonzero chemical potential
Spontaneous symmetry breaking matrix models chiral Lagrangians
2011/3/3
We solve a random two-matrix model with two real asymmetric matrices whose primary purpose is to describe certain aspects of quantum chromodynamics with two colours and dynamical fermions at nonzero q...
A method for constructing random matrix models of disordered bosons
random matrix models disordered bosons
2011/2/22
Random matrix models of disordered bosons consist of matrices in the Lie algebra g = spn(R). Assuming dynamical stability, their eigenvalues are required to be purely imaginary.
Constraint on periodic orbits of chaotic systems given by Random Matrix Theory
Constraint periodic orbits chaotic systems Random Matrix Theory
2011/3/4
Considering the fluctuations of spectral functions, we prove that if chaotic systems fulfill the Bohigas-Gianonni-Schmit (BGS) conjecture, which relates their spectral statistics to that of random mat...
How many eigenvalues of a Gaussian random matrix are positive?
Gaussian random matrices large deviations Coulomb gas method index
2011/3/2
We study the probability distribution of the index N+, i.e., the number of positive eigenvalues of an N × N Gaussian random matrix. We show analytically that, for large N and large N+ with the fractio...
A general and solvable random matrix model for spin decoherence
general solvable random matrix model spin decoherence
2010/12/1
We propose and solve a simple but very general quantum model of an SU(2)spin interacting with a large external system with N states. The coupling is described by a random hamiltonian in a new general ...