Values of brownian intersection exponents III : two-sided exponents
Vector-valued fuzzy measures on fuzzy quantum posets
Velocity and Entropy of Motion in Periodic Potentials
This is a report on recent joint work with J. Asch, and with T. Hudetz and F. Benatti.We consider classical, quantum and semiclassical motion in periodic potentials and prove various results on the distribution of asymptotic velocities.The Kolmogorov-Sinai entropy and its quantum generalization, the Connes-Narnhofer-Thirring entropy, of the single particle and of a gas of noninteracting particles are related.
Vertex algebras and algebraic curves
Vertex algebroids over Veronese rings.
Volume and area renormalizations for conformally compact Einstein metrics
Let be the interior of a compact manifold of dimension with boundary , and be a conformally compact metric on , namely extends continuously (or with some degree of smoothness) as a metric to , where denotes a defining function for , i.e. on and , on . The restrction of to rescales upon changing , so defines invariantly a conformal class of metrics on , which is called the conformal infinity of . In the present paper, the author considers conformally compact metrics...
Vortex dans les condensats de Bose Einstein
Vortex rings for the Gross-Pitaevskii equation
We provide a mathematical proof of the existence of traveling vortex rings solutions to the Gross–Pitaevskii (GP) equation in dimension . We also extend the asymptotic analysis of the free field Ginzburg–Landau equation to a larger class of equations, including the Ginzburg–Landau equation for superconductivity as well as the traveling wave equation for GP. In particular we rigorously derive a curvature equation for the concentration set (i.e. line vortices if ).
Vorticity dynamics and turbulence models for large-Eddy simulations
We consider in this paper the problem of finding appropriate models for Large Eddy Simulations of turbulent incompressible flows from a mathematical point of view. The Smagorinsky model is analyzed and the vorticity formulation of the Navier–Stokes equations is used to explore more efficient subgrid-scale models as minimal regularizations of these equations. Two classes of variants of the Smagorinsky model emerge from this approach: a model based on anisotropic turbulent viscosity and a selective...
Vorticity dynamics and turbulence models for Large-Eddy Simulations
We consider in this paper the problem of finding appropriate models for Large Eddy Simulations of turbulent incompressible flows from a mathematical point of view. The Smagorinsky model is analyzed and the vorticity formulation of the Navier–Stokes equations is used to explore more efficient subgrid-scale models as minimal regularizations of these equations. Two classes of variants of the Smagorinsky model emerge from this approach: a model based on anisotropic turbulent viscosity and...
Wall crossing, discrete attractor flow and Borcherds algebra.
Ward identities from recursion formulas for correlation functions in conformal field theory
A conformal block formulation for the Zhu recursion procedure in conformal field theory which allows to find -point functions in terms of the lower correlations functions is introduced. Then the Zhu reduction operators acting on a tensor product of VOA modules are defined. By means of these operators we show that the Zhu reduction procedure generates explicit forms of Ward identities for conformal blocks of vertex operator algebras. Explicit examples of Ward identities for the Heisenberg and free...
Ward's solitons.
Wave Equation and Causality Violation
Wave Operators for Defocusing Matrix Zakharov-Shabat Systems with Pnonvanishing at Infinity
2000 Mathematics Subject Classification: Primary: 34L25; secondary: 47A40, 81Q10.In this article we prove that the wave operators describing the direct scattering of the defocusing matrix Zakharov-Shabat system with potentials having distinct nonzero values with the same modulus at ± ∞ exist, are asymptotically complete, and lead to a unitary scattering operator. We also prove that the free Hamiltonian operator is absolutely continuous.
Wave operators for pairs of spaces and the Klein-Gordon equation.
Wave packets techniques
Weak c*-Hopf algebras: the coassociative symmetry of non-integral dimensions
By allowing the coproduct to be non-unital and weakening the counit and antipode axioms of a C*-Hopf algebra too, we obtain a selfdual set of axioms describing a coassociative quantum group, that we call a weak C*-Hopf algebra, which is sufficiently general to describe the symmetries of essentially arbitrary fusion rules. It is the same structure that can be obtained by replacing the multiplicative unitary of Baaj and Skandalis with a partial isometry. The algebraic properties, the existence of...
Weak interaction limit for nuclear matter and the time-dependent Hartree-Fock equation
We consider an effective model of nuclear matter including spin and isospin degrees of freedom, described by an -body Hamiltonian with suitably renormalized two-body and three-body interaction potentials. We show that the corresponding mean-field theory (the time-dependent Hartree-Fock approximation) is “exact” as tends to infinity.
Weak Limits of Solutions to Semilinear Hyperbolic Sytems.