Search Results - "Eynard, B."

Computation of Open Gromov–Witten Invariants for Toric Calabi–Yau 3-Folds by Topological Recursion, a Proof of the BKMP Conjecture by Eynard, B., Orantin, N.

“…The BKMP conjecture (2006–2008) proposed a new method to compute closed and open Gromov–Witten invariants for every toric Calabi–Yau 3-folds, through a…”
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Weighted Hurwitz Numbers and Topological Recursion by Alexandrov, A., Chapuy, G., Eynard, B., Harnad, J.

“…The KP and 2D Toda τ -functions of hypergeometric type that serve as generating functions for weighted single and double Hurwitz numbers are related to the…”
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Design, modelling, simulation and integration of cyber physical systems: Methods and applications by Hehenberger, P., Vogel-Heuser, B., Bradley, D., Eynard, B., Tomiyama, T., Achiche, S.

“…•Presentation of a systematic classification of systems and new CPS paradigms.•Analyses of literature conducted across a range of different perspectives.•A…”
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Fermionic Approach to Weighted Hurwitz Numbers and Topological Recursion by Alexandrov, A., Chapuy, G., Eynard, B., Harnad, J.

“…A fermionic representation is given for all the quantities entering in the generating function approach to weighted Hurwitz numbers and topological recursion…”
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Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions by BERTOLA, M, EYNARD, B, HARNAD, J

“…The differential systems satisfied by orthogonal polynomials with arbitrary semiclassical measures supported on contours in the complex plane are derived, as…”
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Loop equations and topological recursion for the arbitrary-β two-matrix model by Bergère, M., Eynard, B., Marchal, O., Prats-Ferrer, A.

“…A bstract We write the loop equations for the β two-matrix model, and we propose a topological recursion algorithm to solve them, order by order in a small…”
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Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices by Eynard, B.

“…It has been observed that the statistical distribution of the eigenvalues of random matrices possesses universal properties, independent of the probability law…”
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Duality, biorthogonal polynomials and multi-matrix models by BERTOLA, M, EYNARD, B, HARNAD, J

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Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem by BERTOLA, M, EYNARD, B, HARNAD, J

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Exact solution of the O( n) model on a random lattice by Eynard, B., Kristjansen, C.

“…We present an exact solution of the O( n) model on a random lattice. The coupling constant space of our model is parametrized in terms of a set of moment…”
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Genus one contribution to free energy in Hermitian two-matrix model by Eynard, B, Kokotov, A, Korotkin, D

“…We compute the genus one correction to free energy of Hermitian two-matrix model in large N limit in terms of theta-functions associated to the spectral curve…”
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2-Matrix versus complex matrix model, integrals over the unitary group as triangular integrals by EYNARD, B, PRATS FERRER, A

“…We prove that the 2-hermitian matrix model and the complex-matrix model obey the same loop equations, and as a byproduct, we find a formula for Itzykzon-Zuber…”
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From a 3D point cloud to an engineering CAD model: a knowledge-product-based approach for reverse engineering by Durupt, A, Remy, S., Ducellier, G., Eynard, B.

“…Reverse engineering (RE) is an area of current interest in which physical models are measured or digitised to obtain a virtual model. Currently, geometric…”
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The Potts- q random matrix model: loop equations, critical exponents, and rational case by Eynard, B., Bonnet, G.

“…In this article, we study the q-state Potts random matrix models extended to branched polymers, by the equations of motion method. We obtain a set of loop…”
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More on the exact solution of the O( n) model on a random lattice and an investigation of the case ∥ n∥ > 2 by Eynard, B., Kristjansen, C.

“…For n ϵ [−2,2] the O( n) model on a random lattice has critical points to which a scaling behaviour characteristic of 2D gravity interacting with conformal…”
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An iterative solution of the three-colour problem on a random lattice by Eynard, B., Kristjansen, C.

“…We study the generalisation of Baxter's three-colour problem to a random lattice. Rephrasing the problem as a matrix model problem we discuss the analyticity…”
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Coloring random triangulations by Di Francesco, P., Eynard, B., Guitter, E.

“…We introduce and solve a two-matrix model for the tri-coloring problem of the vertices of a random triangulation. We present three different solutions: (i) by…”
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Hamiltonian cycles on a random three-coordinate lattice by Eynard, B., Guitter, E., Kristjansen, C.

“…Consider a random three-coordinate lattice of spherical topology having 2υ vertices and being densely covered by a single closed, self-avoiding walk, i.e…”
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Generalized cycles on Spectral Curves by Eynard, B

“…Generalized cycles can be thought of as the extension of form-cycle duality between holomorphic forms and cycles, to meromorphic forms and generalized cycles…”
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Towards Integration of CAx Systems and a Multiple-View Product Modeller in Mechanical Design by Song, H., Eynard, B., Lafon, P., Roucoules, L.

“…This paper deals with the development of an integration framework and its implementation for the connexion of CAx systems and multiple-view product modelling…”
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