Haut PDF Topological expansion of the chain of matrices
Topological expansion of the chain of matrices
... applications. The most famous is the Kontsevich integral, which is the generating function for intersection numbers [33, 24, ...play the role of a regularized discrete space-time. ...
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Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry
... to the Kodaira-Spencer field theory ...extend the method of [13] was first made in [7], and here in this paper we deeply improve the result of ...[7]. The aim of ...
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Asymptotic expansion of smooth functions in polynomials in deterministic matrices and iid GUE matrices
... used the large dimension expansion of the moments of Gaussian matrices to compute the Euler characteristic of the moduli space of ...in the ...
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Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula
... prospects of that work are to find the diagrammatic rules for com- puting the free energy to all order in the topological expansion, and also all mixed correlation functions ...
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Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry
... to the Kodaira-Spencer field theory ...extend the method of [13] was first made in [7], and here in this paper we deeply improve the result of ...[7]. The aim of ...
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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, the solution was expressed using the ...
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The topological correctness of PL-approximations of isomanifolds
... prove the existence of the isotopy from f −1 (0) to f P L −1 (0), we will apply the implicit function theorem (Theorem 6) to several functions g that are close to f and we will therefore need ...
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Free energy topological expansion for the 2-matrix model.
... generalization of diagrammatic techniques from the 1MM to the 2MM also points out that the study of the chain of matrices [21] would give a more general ...
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On the Stern–Brocot expansion of real numbers
... For the converse, we use the proof of Theorem ...product of matrices L and R; this product has L’s and R’s in ...take the corresponding product f of morphisms (a 7→ a, b ...
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Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants.
... using the recursion hypothesis. The fact that the A and B cycle integrals vanish comes from the symmetry x ↔ ...under the symmetry x ↔ y, f is changed to ˜ f and ˜ f is changed to f . ...
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Invariants of algebraic curves and topological expansion
... construct the associated formal Baker-Hakiezer function ...notion of a τ function associated to an algebraic ...in the litterature [9], and it is not clear whether our definition coincides with other ...
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The sinelaw gap probability, Painlevé 5, and asymptotic expansion by the topological recursion
... Abstract: The goal of this article is to rederive the connection between the Painlev´ e 5 integrable system and the universal eigenvalues correlation functions of double-scaled ...
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Topological expansion in isomorphisms with random walks for matrix valued fields
... TOPOLOGICAL EXPANSION IN ISOMORPHISMS WITH RANDOM WALKS FOR MATRIX VALUED FIELDS TITUS LUPU ...fields of real symmetric, complex Hermitian or quaternionic Hermitian matrices over an ...
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A short overview of the "Topological recursion"
... often the spectral curve happens to be a very simple and natural geometric object from the A-model point of ...typically the ”most probable shape” of the objects counted in ...
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Does the expansion of biofuels encroach on the forest?
... analysis of the biofuel-deforestation nexus is complex. The impact of biofuels on deforestation through land use change depends primarily on the type of crops used (Gao et ...
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Diffusion at the Surface of Topological Insulators
... between the symplectic and unitary universality classes upon breaking time-reversal symmetry has been observed in ultrathin samples of Bi 2 Te 3 [ 16 ...describing the transport properties of ...
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ON TOPOLOGICAL GENERICITY OF THE MODE-LOCKING PHENOMENON
... study of Schr ¨odinger operators. In contrast to the result in [4], the density of mode-locking for dynamically forced maps is true regardless of the range of the ...
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A topological definition of the Maslov bundle
... tion of this bundle in terms of cocycles and tries to make the links with the strictly topological presentation (representation of the fundamental group) proposed by ...
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On traces of the Brandt-Eichler matrices
... be the number of elements in R/1rR. For simplicity, the number of principal left ideals in A whose norm is equal to (1rm) will be denoted by L(A, m) (later we return to the notation ...
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The Zeckendorf expansion of polynomial sequences
... Our next results concern the indepence of different digital expansions. For example, in [6] the following property is shown. Suppose that ql, q2 are two coprime integers and fl, f2 qm resp. ...
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