[PDF] Top 20 The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry
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The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry
... 0.1 Bref historique du sujet Les mod`eles de matrices al´eatoires ont ´et´e introduits en 1951 par E. Wigner [75], en physique nucl´eaire, comme mod`ele pour la r´epartition des niveaux d’´energie des noyeaux lourds. ... Voir le document complet
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Topological expansion of the β-ensemble model and quantum algebraic geometry in the sectorwise approach
... challenging problem is to generalize this approach to linear differential equa- tions of any order, which would correspond to a 2-matrix β-ensemble ...define the notions of sheets, ... Voir le document complet
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Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry
... [16] Correlation functions of eigenvalues of multi-matrix models, and the limit of a time dependent matrix. (B.E.) , 27 pages. SPHT 98/001 DTP 97-59 , Journal of Physics A 40 (1998) 8081, ... Voir le document complet
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Mixed correlation function and spectral curve for the 2-matrix model
... systems and spectral curve An important observation of [9] and [10, 32, 29] is that windows of consecutive bi- orthogonal polynomials satisfy some integrable differential systems, and a ... Voir le document complet
58
Large N expansion of the 2-matrix model, multicut case.
... for biorthogonal polyno- mials appearing in 2-matrix models and the associated Riemann-Hilbert problem”, preprint CRM-2852 (2002), Saclay T02/097, ...Bleher ... Voir le document complet
34
Calderon inverse Problem for the Schrodinger Operator on Riemann Surfaces
... define the Cauchy data space by C := {(u| ∂Ω , ∂ n u| ∂Ω ) ∈ C ∞ (∂Ω) × C ∞ (∂Ω) ; u ∈ ker P } where ∂ n is the interior pointing normal vector field to ...∂Ω. The first natural question is ... Voir le document complet
17
Algebraic combinatorics of graph spectra, subspace arrangements and Tutte polynomials
... This observation, which generalizes a theorem of Blass and Sagan, reduces the computation of the characteristic polynomial of such an arrangement to a counting problem[r] ... Voir le document complet
145
Homotopical algebraic geometry. I. Topos theory.
... Though the hypothesis of t-completeness in Theorem 3.8.3 is quite natural, and allows for a clean explanation in terms of S-topologies, it could be interesting to look for a similar comparison result ... Voir le document complet
72
A study of the Riemann problem for diphasic water.
... Bertrand Mercier March 2, 2021 Introduction To study the Riemann problem we need an equation of state for water in the pure liquid case, in the diphasic case and in the pure steam case..[r] ... Voir le document complet
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The Chapman-Jouguet closure for the Riemann Problem with vaporization
... Riemann problem is composed (from the left to the right) of a sonic wave, a vaporization wave (if the intermediate state is metastable), a contact disconti- nuity (across which P ... Voir le document complet
37
Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry
... ansatz. The commutative limit reduces to the symplectic invariants, ...i.e. algebraic geometry, and thus we define non-commutative deformations of some algebraic geometry ... Voir le document complet
60
Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry
... to matrix integrals. We have said that the integration contour for the eigenvalues should be chosen so that the solution of the Schroedinger equation is polynomial of degree m, however, ... Voir le document complet
60
Algebraic methods in random matrices and enumerative geometry
... i.e. the equilibrium density of eigenvalues of the matrix, is computed like for any other matrix model, like in section ...Here, the potential V (M) may look quite complicated, ... Voir le document complet
141
Homotopical algebraic geometry. II. Geometric stacks and applications.
... from the definition using the fact that i preserves affine schemes, epimorphisms of stacks, and sends 2-fiber products to homotopy pull- ...apply the general infinitesimal and ... Voir le document complet
229
Le problème de Riemann-Hilbert Fuchsien pour les variétés de Frobenius "réels doubles" sur les espaces de Hurwitz
... Dans le chapitre 3 nous décrivons les deux problèmes de Riemann-Hilbert Fuchsiens dans le cadre des structures de Frobenius construites sur le espaces de Hurwitz, ces espaces [r] ... Voir le document complet
94
Effective construction of algebraic geometry codes
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet
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Orthogonal polynomials with Hermitian matrix argument and associated semigroups
... orthogonal polynomials have been studied since the mid 1950’s. The families of generalized Hermite and Laguerre polynomials were introduced by ...in the context of special ... Voir le document complet
102
Derived algebraic geometry over En̳-rings
... The notion of an £2-monoidal oo-category is a homotopy-theoretic version of a braided monoidal category, a structure arising from the algebraic study of conformal field th[r] ... Voir le document complet
56
Universal covering spaces and fundamental groups in algebraic geometry as schemes
... called algebraic Teichmüller space. The algebraic mapping class group scheme π 1 (M g ) acts on ...of the methods of Teichmüller theory to algebraic Teichmüller ...over, and have ... Voir le document complet
39
Two remarks on the inverse Galois problem for intersective polynomials
... [1]), the polynomials (x r − 2)Φ r (x), r ≥ 3 a prime (Φ r (x) is the rth cyclotomic polynomial), with Galois groups the Frobenius groups of order r(r − 1), are given as examples of ... Voir le document complet
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