搜索结果: 1-15 共查到“matrix models”相关记录15条 . 查询时间(0.109 秒)
Asymptotics of the Fredholm determinant corresponding to the first bulk critical universality class in random matrix models
Integrable operators Riemann-Hilbert approach Deift-Zhou method asymptotical analysis of Fredholm determinants
2015/1/19
We study the one-parameter family of determinants $det(I-\gamma K_{PII}),\gamma\in\mathbb{R}$ of an integrable Fredholm operator $K_{PII}$ acting on the interval $(-s,s)$ whose kernel is constructed o...
Large information plus noise random matrix models and consistent subspace estimation in large sensor networks
Large information plus noise random matrix models consistent subspace estimation large sensor networks
2011/7/7
In array processing, a common problem is to estimate the angles of arrival of $K$ deterministic sources impinging on an array of $M$ antennas, from $N$ observations of the source signal, corrupted by ...
Asymptotic expansion of beta matrix models in the one-cut regime
Asymptotic expansion beta matrix models the one-cut regime Probability
2011/8/26
Abstract: We prove the existence of a 1/N expansion to all orders in beta matrix models with a confining, off-critical potential corresponding to an equilibrium measure with a connected support. Thus,...
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...
We construct a free fermion and matrix model representation of refined BPS generating functions of D2 and D0 branes bound to a single D6 brane, in a class of toric manifolds
without compact four-cycl...
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.
Stokes Phenomena and Non-perturbative Completion in the Multi-cut Two-matrix Models
Stokes Phenomena Non-perturbative Completion
2010/12/24
The Stokes multipliers in the matrix models are invariants in the string-theory moduli space and related to the D-instanton chemical potentials. They not only represent non-perturbative information bu...
Towards a proof of AGT conjecture by methods of matrix models
AGT conjecture matrix models
2010/12/24
A matrix model approach to proof of the AGT relation is briefly reviewed. It starts from the substitution of conformal blocks by the Dotsenko-Fateev beta-ensemble averages and Nekrasov functions by a...
Multi-Matrix Models and Tri-Sasaki Einstein Spaces
Multi-Matrix Models Tri-Sasaki Einstein Spaces
2010/12/24
Localization methods reduce the path integrals in {\cal N} >= 2 supersymmetric Chern-Simons gauge theories on S^3 to multi-matrix integrals. A recent evaluation of such a two-matrix integral for the {...
Generalized matrix models and AGT correspondence at all genera
Generalized matrix models AGT correspondence
2010/12/24
We study generalized matrix models corresponding to n-point Virasoro conformal blocks on Riemann surfaces with arbitrary genus g. Upon AGT correspondence, these describe four dimensional N=2 SU(2)^{n...
Wall-crossing, open BPS counting and matrix models
Wall-crossing BPS counting matrix models
2010/12/24
We consider wall-crossing phenomena associated to the counting of D2-branes attached to D4-branes wrapping lagrangian cycles in Calabi-Yau manifolds, both from M-theory and matrix model perspective. F...
Spectral properties in supersymmetric matrix models
Spectral properties supersymmetric matrix models
2010/12/24
We give a sufficient condition for discreteness of the spectrum for supersymmmetric and non supersymmetric theories with a fermionic contribution. Our approach allows the analysis of the complete redu...
Combinatorial aspects of matrix models.
Hidden Noise Structure and Random Matrix Models of Stock Correlations
Hidden Noise Structure Random Matrix Models Stock Correlations
2010/11/2
We find a novel correlation structure in the residual noise of stock market returns that is remarkably linked to the composition and stability of the top few significant factors driving the returns, a...
Matrix models as non-local hidden variables theories
hidden variables theory quantum gravity
2008/4/15
It is shown that the matrix models which give non-perturbative definitions of string and
M theory may be interpreted as non-local hidden variables theories in which the quantum
observables are the e...