Titlebook: New Trends in Mathematical Physics; Selected contributio Vladas Sidoravi?ius Conference proceedings 20091st edition Springer Science+Busine

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半圓鑿

槍支

Rigorous Construction of Luttinger Liquids Through Ward Identities,ng part of the Beta function. The first one was developed in the last years and is based in an essential way on the exact Mattis-Lieb solution of the Luttinger model. More recently, we found a new proof, based on the Ward identities obtained by a chiral local gauge transformation, applied to a Lutti

輪流

,New Algebraic Aspects of Perturbative and?Non-perturbative Quantum Field Theory, of Feynman graphs, and Dyson-Schwinger equations. Starting from Lie and Hopf algebras of Feynman graphs, perturbative renormalization is rephrased algebraically. The Hochschild cohomology of these Hopf algebras leads the way to Slavnov-Taylor identities and Dyson-Schwinger equations. We discuss rec

Allowance

Conspiracy

Embolic-Stroke

,Boundary Effects on the Interface Dynamics for?the?Stochastic Allen–Cahn Equation,. and?.. We investigate the asymptotic behavior of the front separating the two stable phases in the limit .→0, when the intensity of the noise is . and .,.→∞ with .. In particular, we prove that it is possible to choose .=.(.) such that in a suitable time scaling limit, the front evolves according

Flirtatious

Dimensional Entropies and Semi-Uniform Hyperbolicity,d the definition in Buzzi (On entropy-expanding maps, preprint .; Cours de Saint-Flour, in preparation, .) of .. We introduce a new notion of . for diffeomorphisms. We indicate some simple sufficient conditions (some of them new) for these properties. We conclude by some work in progress and more qu

Fraudulent

急急忙忙

Weak Turbulence for Periodic NLS,ffilani, H.?Takaoka and T.?Tao. We build new smooth solutions of the cubic defocussing nonlinear Schr?dinger equation on the two dimensional torus which are weakly turbulent: given any .?1,.?1,.>1, we construct smooth initial data .. in the Sobolev space .. with ., so that the corresponding time evo