Symmetry breaking in quantum curves and super Chern-Simons matrix models
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DOI: 10.1007/jhep01(2019)210
Abstract: A bstractIt was known that quantum curves and super Chern-Simons matrix models correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one, called the del Pezzo curve, enjoys symmetry of… read more here.
Keywords: simons matrix; matrix models; chern simons; curves super ... See more keywords
Cosmological space-times with resolved Big Bang in Yang-Mills matrix models
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DOI: 10.1007/jhep02(2018)033
Abstract: A bstractWe present simple solutions of IKKT-type matrix models that can be viewed as quantized homogeneous and isotropic cosmological space-times, with finite density of microstates and a regular Big Bang (BB). The BB arises from… read more here.
Keywords: matrix models; big bang; space; cosmological space ... See more keywords
Punctures and p-Spin Curves from Matrix Models II
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DOI: 10.1007/s10955-021-02776-4
Abstract: The intersection numbers for general integer p-spin curves of the moduli space are evaluated from the n-point functions in matrix models in Laurent expansions. The results coincide with the previous values derived from the recursive… read more here.
Keywords: spin curves; matrix models; punctures spin; curves matrix ... See more keywords
A bifurcation theorem for nonlinear matrix models of population dynamics
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2019.1699916
Abstract: ABSTRACT We prove a general theorem for nonlinear matrix models of the type used in structured population dynamics that describes the bifurcation that occurs when the extinction equilibrium destabilizes as a model parameter is varied.… read more here.
Keywords: matrix models; nonlinear matrix; bifurcation theorem; theorem nonlinear ... See more keywords
Eikonal formulation of large dynamical random matrix models.
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DOI: 10.1103/physreve.104.054111
Abstract: The standard approach to dynamical random matrix models relies on the description of trajectories of eigenvalues. Using the analogy from optics, based on the duality between the Fermat principle (rays) and the Huygens principle (wavefronts),… read more here.
Keywords: dynamical random; matrix models; eikonal formulation; random matrix ... See more keywords
Correlators in the β-deformed Gaussian Hermitian and complex matrix models
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DOI: 10.1142/s0217751x1950221x
Abstract: We investigate the β-deformed Gaussian Hermitian and N × N complex matrix models which are defined as the eigenvalue integral representations. Their W1+∞ constraints are constructed such that the c... read more here.
Keywords: matrix models; complex matrix; hermitian complex; deformed gaussian ... See more keywords