Haut PDF Free energy topological expansion for the 2-matrix model.
Free energy topological expansion for the 2-matrix model.
... parallel, the hermitian two-matrix model (2MM) solutions have been obtained, at early stages, in the planar limit of the 1/N-expansion ...that the 2MM solution in ...
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Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants.
... of the matrices, and could not be computed by standard methods. The first explicit computations were obtained in [4] and ...compute the topological expansion of a family of mixed ...
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Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula
... N expansion of random matrix models has a strong link with algebraic geometry ...[27]. The free energy and correlation functions have been computed in terms of properties of an ...
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Invariants of algebraic curves and topological expansion
... (E) for curves not coming from the large N limit of the loop equations of a matrix ...- The double scaling limit of a matrix ...tune the parameters of a matrix ...
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Loop equations for the semiclassical 2-matrix model with hard edges
... that the function eq.2-27 E(x, y) is unchanged under the exchange x ↔ y, V1 ↔ V2, s ↔ ˜ s, which is the generalization of Matytsin’s duality property [17]: X(Y (x)) = x (4-1) The ...
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A matrix model for the topological string II: The spectral curve and mirror geometry
... matrix model M X and to compare it to the mirror curve S X of ...matrices matrix model with non-polyno- mial potential. The problem of determining the spectral curve of ...
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Topological expansion of the chain of matrices
... studied for various applications. The most famous is the Kontsevich integral, which is the generating function for intersection numbers [33, 24, ...general model. Multimatrix ...
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Evaluating the flow stress of aerospace alloys for tube hydroforming process by free expansion testing
... and the tube as a deformable material. In the model, a surface-to-surface contact algorithm was ap- plied to the interface between the tube and the die with Coulomb’s friction ...
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Rapid prediction of solvation free energy. 2. The first-shell hydration (FiSH) continuum model
... highlight the benefits of ISCD-dependent Born radii to account for charge asymmetry effects, as well as the improvements afforded by training on real molecules for the nonlinear ...
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The sinelaw gap probability, Painlevé 5, and asymptotic expansion by the topological recursion
... eal. 2 ? Institut de physique th´ eorique, CEA Saclay, France. 3 Abstract: The goal of this article is to rederive the connection between the Painlev´ e 5 integrable system and the ...
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Topological expansion and boundary conditions
... all the possibilities of drawing interfaces (between the + and - spins of the Ising model) in all possible ...to the so called double-scaling-limit [6, 5], and should be compared with ...
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Topological superconductivity in the one-dimensional interacting Creutz model
... shows the topological phase diagram for different values of interaction U , combining results from the mean-field analysis and DMRG ...simulations. The agreement between both approaches ...
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Free-energy-dissipative schemes for the Oldroyd-B model
... of the paper and results We will show that it is possible to build numerical schemes discretizing the Oldroyd-B system (1)– (2) such that solutions to those discretizations satisfy a free ...
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Topological expansion of the β-ensemble model and quantum algebraic geometry in the sectorwise approach
... solve the loop equations of the β-ensemble model analogously to the solution found for the Hermitian matrices β = ...1. For β = 1, the solution was expressed using ...
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Master loop equations, free energy and correlations for the chain of matrices.
... in the potential well Vk and is linearly coupled to its neigh- boors Mk−1 and ...thus the chain is open. So far, the problem of the closed chain has remained ...unsolved. The ...
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Large N expansion of the 2-matrix model, multicut case.
... that the support of the large N average density of eigenvalues of the matrix M 1 is made of g + 1 intervals [a i , b i ], i = 1, ...and for each i, A i is a contour which encloses [a i ...
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Topological expansion in isomorphisms with random walks for matrix valued fields
... give the proof of Theorem ...develop the product of traces on the left-hand side of the isomorphism identity, apply Theorem ...recombine the terms to get the right-hand side of ...
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Phase structure of topological insulators by lattice strong-coupling expansion
... on the phase structure of topological insulators, described by the boundary between the topological insulator and the normal insulator ...formulate the models of ...
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A Matrix Model for the Topological String I: Deriving the Matrix Model
... method for computing the topological string partition function, genus by genus, away from the large radius limit, and without having to solve differential ...by the fact that symplectic ...
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Topological model for machining of parts with complex shapes
... 2 recovery is associated to transition shapes which generally have low curvature and small ...of the HSM process therefore requires the development of a complex process planning that is very ...
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