# Haut PDF Mixed correlation function and spectral curve for the 2-matrix model

Haut PDF Mixed correlation function and spectral curve for the 2-matrix model ont été compilés par 123dok FR

### 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

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### Topological expansion of the 2-matrix model correlation functions: diagrammatic rules for a residue formula

... 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 algebraic ...**curve**. ... Voir le document complet

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### Free energy topological expansion for the 2-matrix model.

... compute **the** complete topological expansion of **the** formal hermitian two- **matrix** ...**model**. **For** this, we refine **the** previously formulated diagrammatic rules **for** computing ... Voir le document complet

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### A Matrix Model for the Topological String I: Deriving the Matrix Model

... candidate **for** such an invariant is **the** symplectic class of **the** **matrix** **model** **spectral** ...**curve**. **The** outline of this paper is as follows. In section **2**, after a ... Voir le document complet

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### Root systems, spectral curves, and analysis of a Chern-Simons matrix model for Seifert fibered spaces

... (4.26) **And**, there may exist residual terms corresponding to irreducible flat connections [ 36 , 38 ...Since **the** measure in ( 2.1 ) is now complex, we cannot apply stricto sensu **the** arguments of ... Voir le document complet

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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** ... Voir le document complet

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### Loop equations and topological recursion for the arbitrary-β two-matrix model

... **For** **the** hermitian case, it turned out that a 1-**matrix** **model** was not general enough, **for** instance **the** **spectral** **curve** **for** 1-**matrix** **model** is ... Voir le document complet

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### Large N expansion of the 2-matrix model, multicut case.

... of **the** total number of eigenvalues, this why ǫ i is called a filling ...expression **for** P (0) (x, y) as a **function** of **the** coefficients of V 1 **and** V **2** **and** **the** filling ... Voir le document complet

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### Another algebraic variational principle for the spectral curve of matrix models

... only **the** 1 **and** **2**-**matrix** models, al- though section 4 guarantees that it also applies to **the** ”chain of matrices” [7, 8] **matrix** **model**, **and** possibly ...written ... Voir le document complet

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### Loop equations and topological recursion for the arbitrary β two-matrix model

... known **for** a long time, **and** their recursive solution was recently proposed in [ 17 – 19 , 46 ...]. **For** **the** hermitian case, it turned out that a 1-**matrix** **model** was not general ... Voir le document complet

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### The partition function of the two-matrix model as an isomonodromic tau-function

... **The** paper extends to **the** case of **the** two-**matrix** **model** **the** work contained in ..., **and** 10 ; it uses, however, a different approach closer to a recent ..., **and** 19 ... Voir le document complet

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### A matrix model for the topological string II: The spectral curve and mirror geometry

... point. **The** typical partition has a certain typical length referred to as its equilibrium length ¯ ...from **the** equilibrium length contribute only in an expo- nentially small way (**and** thus ... Voir le document complet

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### A Mixed Function for Actuation and Power Flow Control in Embedded Networks

... actuation **and** power flow control” (MAPFC) configuration proposed in this paper is able to contribute to **the** HVDC voltage quality: As will be detailed, it introduces new possible power transfers which can be ... Voir le document complet

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### Spectral analysis of the Gram matrix of mixture models

... **and** **the** observations belonging to different groups are **the** most dissimilar from each ...other. **The** most commonly used such algorithms are k-means, **the** hierarchical clustering ... Voir le document complet

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### A Mixed Function for Actuation and Power Flow Control in Embedded Networks

... actuation **function** of **the** MAPFC. Fig. 7. Notations used **for** power sharing ...PERATIONS **The** use of MAPFC is very attractive in an embedded net- work to replace a classical PMSM—inverter ... Voir le document complet

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### Gram matrix of a Laguerre model: application to model reduction of irrational transfer function

... Gram **matrix** Ψ of a system is very useful in system identification, power density spectrum modeling **and** **model** ...reduction. **The** Gram ma- trix contains elements that are inner products of ... Voir le document complet

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### Polysulfone/silica nanoparticle mixed-matrix membranes for gas separation

... Pinnau **and** He reported that **the** addition of non- porous nanosized-fumed silica, which has opposing properties with porous inorganic fillers, can alter polymer chain packing in glassy, high-free-volume ... Voir le document complet

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### The Canonical Model of a Singular Curve

... (1). **The** first proofs were given by Deligne **and** Mumford in 1969, by Sakai in 1977, **and** by Catanese in 1982, according to Catanese [4, ...by **the** study of families of curves, **and** they ... Voir le document complet

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### A Matrix model for plane partitions

... active **and** fas- cinating area of mathematical physics in **the** past years, culminating with Okounkov’s renowned ...i.e. **the** sim- plest **model** of out of equilibrium statistical physics, **and** ... Voir le document complet

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### Subnanosecond spectral diffusion measurement using photon correlation

... T=4K. **The** sample is excited by a continuous wave diode laser emitting at 405 ...nm. **The** luminescence is split by a 50/50 beamsplitter **and** each beam is sent to a monochromator (resolution δE = ... Voir le document complet

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