Results 31 to 40 of about 3,541,835 (287)
On Products of Random Matrices
Entropy, 2020 We introduce a family of models, which we name matrix models associated with children’s drawings—the so-called dessin d’enfant. Dessins d’enfant are graphs of a special kind drawn on a closed connected orientable surface (in the sky).
Natalia Amburg +2 more
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Generalized Fuzzy Torus and its Modular Properties
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We consider a generalization of the basic fuzzy torus to a fuzzy torus with non-trivial modular parameter, based on a finite matrix algebra. We discuss the modular properties of this fuzzy torus, and compute the matrix Laplacian for a scalar field.
Paul Schreivogl, Harold Steinacker
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Commuting Quantum Matrix Models [PDF]
, 2014 We study a quantum system of $p$ commuting matrices and find that such a quantum system requires an explicit curvature dependent potential in its Lagrangian for the system to have a finite energy ground state.
Filev, Veselin G., O'Connor, Denjoe
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MATRIX MODEL THERMODYNAMICS [PDF]
Quantum Theory and Symmetries, 2004 Presented at ``Circumnavigating Theoretical Physics'', in Memory of Ian Kogan, Oxford, U.K., January 2004.
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Solving matrix models using holomorphy [PDF]
, 2003 We investigate the relationship between supersymmetric gauge theories with moduli spaces and matrix models. Particular attention is given to situations where the moduli space gets quantum corrected. These corrections are controlled by holomorphy.
D. Berenstein +41 more
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Integrability and Matrix Models [PDF]
Uspekhi Fizicheskih Nauk, 1994 The theory of matrix models is reviewed from the point of view of its relation to integrable hierarchies. Discrete 1-matrix, 2-matrix, ``conformal'' (multicomponent) and Kontsevich models are considered in some detail, together with the Ward identites (``W-constraints''), determinantal formulas and continuum limits, taking one kind of models into ...
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Environmental Research Letters, 2018 The ability to harmonize data sources with varying temporal, spatial, and ecosystem measurements (e.g. forest structure to soil organic carbon) for creation of terrestrial carbon baselines is paramount to refining the monitoring of terrestrial carbon ...
Wu Ma +5 more
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Exact Superpotentials from Matrix Models [PDF]
, 2002 Dijkgraaf and Vafa (DV) have conjectured that the exact superpotential for a large class of N=1 SUSY gauge theories can be extracted from the planar limit of a certain holomorphic matrix integral.
Annamaria Sinkovics +11 more
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The formal demography of kinship VI: Demographic stochasticity and variance in the kinship network [PDF]
Demographic ResearchBACKGROUND: Although the matrix model for kinship networks includes many demographic processes, it is deterministic. It provides values of age-stage distributions of kin, but no information on (co)variances. Because kin populations are small, demographic
Hal Caswell
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Infinite Dimensional Analysis, Quantum Probability and Related Topics, 1998 A generating function for knot diagrams is constructed. We consider a matrix model with d(N×N) matrices and show that in the limits N→∞ and d→0 the model describes the knot diagrams. The same limit in matrix string theory is also discussed. We speculate that a prototypical M(atrix) without matrix theory exists in void.
Aref'eva, I. Ya., Volovich, I. V.
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