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Gross-Neveu Models, Nonlinear Dirac Equations, Surfaces and Strings
Gross-Neveu Models Nonlinear Dirac Equations
2010/12/23
Recent studies of the thermodynamic phase diagrams of the Gross-Neveu model (GN2), and its chiral cousin, the NJL2 model, have shown that there are phases with inhomogeneous crystalline condensates. ...
Scalar models for the generalized Chaplygin gas and the structure formation constraints
Scalar models the generalized Chaplygin gas
2010/12/24
The generalized Chaplygin gas model represents a tentative to unify dark matter and dark energy. It is characterized by a fluid with an equation of state $p = - A/\rho^\alpha$. It can be obtained fro...
Off-shell superconformal nonlinear sigma-models in three dimensions
Off-shell superconformal nonlinear sigma-models
2010/12/24
We develop superspace techniques to construct general off-shell N=1,2,3,4 superconformal sigma-models in three space-time dimensions. The most general N=3 and N=4 superconformal sigma-models are cons...
Generalized matrix models and AGT correspondence at all genera
Generalized matrix models AGT correspondence
2010/12/24
We study generalized matrix models corresponding to n-point Virasoro conformal blocks on Riemann surfaces with arbitrary genus g. Upon AGT correspondence, these describe four dimensional N=2 SU(2)^{n...
Parameter Dependent Commuting Matrices, Plücker relations and Related Quantum Glass Models
Parameter Dependent Commuting Matrices Plücker relations Related Quantum Glass Models
2010/11/11
Type-I matrices were introduced recently as finite dimensional prototypes of quantum integrable systems. These matrices are linearly dependent on an "interaction" type parameter, and possess interesti...
On a class of semi-elliptic diffusion models. Part I: a constructive analytical approach for global existence, densities, and numerical schemes (with applications to the Libor market model)
Degenerate parabolic equations financial derivatives sen-sitivities Monte-Carlo methods
2010/4/27
Computational parsimony makes reduced factor Libor market models popular among practioners. However, value functions and sensitivities of such models are described by degenerate parabolic (i.e. semiel...
Continuous Time Stochastic Models for Vehicular Traffic on Highways
Continuous Time Stochastic Models Vehicular Traffic Highways
2010/10/19
We have simulated a continuous time version of the Nagel-Schreckenberger model of vehicular traffic on highways and calculated the flux as a function of vehicle density. In the low density regime the ...