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LIVSIC^ THEORY FOR COMPACT GROUP EXTENSIONS OF HYPERBOLIC SYSTEMS
theory of tight group of hyperbolic system dynamics
2015/9/29
Recently several new phenomena in dynamics were discovered by
looking at small perturbations of compact group extensions of hypebolic systems [8, 14]. In view of this it is desirable to develop a gen...
Theory for the Rotational Deconvolution model of Turbulence with Fractional regularization
Theory the Rotational Deconvolution model Turbulence Fractional regularization Analysis of PDEs
2012/4/16
We introduce a new regularization of the rotational Navier-Stokes equations that we call the Rotational Approximate Deconvolution Model (RADM). We generalize the deconvolution type model, studied by B...
On the passage from atomistic systems to nonlinear elasticity theory
nonlinear elasticity theory Analysis of PDEs
2011/9/16
Abstract: We derive continuum limits of atomistic models in the realm of nonlinear elasticity theory rigorously as the interatomic distances tend to zero. In particular we obtain an integral functiona...
Kac's Program in Kinetic Theory
Kac’s program kinetic theory master equation mean-field limit quantitative
2011/9/13
Abstract: This paper is devoted to the study of propagation of chaos and mean-field limit for systems of indistinguable particles undergoing collision processes, as formulated by M. Kac (1956) for a s...
Refined Scattering and Hermitian Spectral Theory for Linear Higher-Order Schrodinger Equations
Higher-order Schrodinger operators rescaled blow-up variables discrete real spectrum asymptotic behaviour nodal sets of solutions
2011/9/9
Abstract: A classification of large-time and finite-time blow-up asymptotics of solutions of the Cauchy problem for higher-order Schr\"odinger equations is performed.
Applications of Polyfold Theory I: The Polyfolds of Gromov-Witten Theory
Applications of Polyfold Theory I Polyfolds of Gromov-Witten Theory Symplectic Geometry
2011/9/1
Abstract: In this paper we start with the applications of polyfold theory to symplectic field theory.
The Resurgence of Instantons in String Theory
Instantons Resurgent Analysis Topological and Minimal Strings Matrix Models
2011/7/7
Nonperturbative effects in string theory are usually associated to D-branes. In many cases it can be explicitly shown that D-brane instantons control the large-order behavior of string perturbation th...
Major revolts have recently erupted in parts of the Middle East with substantial international repercussions. Predicting, coping with and winning those revolts have become a grave problem for many reg...
Semianalytic theory of self-similar optical propagation and mode locking using a shape-adaptive model pulse
adaptive model pulse Semianalytic theory self-similar optical propagation mode locking
2011/7/7
A semianalytic theory for the pulse dynamics in similariton amplifiers and lasers is presented, based on a model pulse with adaptive shape. By changing a single parameter, this test function can be co...
Large Deviation Theory for a Homogenized and "Corrected" Elliptic ODE
Differential equations probability theory random coefficients
2011/1/18
We study a one-dimensional elliptic problem with highly oscillatory random diffusion coefficient. We derive a homogenized solution and a so-called Gaussian corrector.We also prove a “pointwise” large ...
On L_p theory for Zakai equation with discontinuous observation process
L_p theory Zakai equation discontinuous observation process
2011/2/28
The existence and uniqueness in fractional Sobolev spaces of the Cauchy problem to a stochastic parabolic integro-differential equation is investi-gated. A model problem with coefficients independent ...
Rescaled Mourre's commutator theory, application to Schrödinger operators with oscillating potential
Mourre’s commutator theory Mourre estimate limiting absorption principle
2011/1/18
We present a variant of Mourre’s commutator theory. We apply it to prove the limiting absorption principle for Schr¨odinger operators with a perturbedWigner-Von Neumann potential at suitable energies....
Proper asymptotic unitary equivalence in $\KK$-theory and projection lifting from the corona algebra
KK-theory proper asymtotic unitary equivalence ab-sorbing representation
2010/12/6
In this paper we generalize the notion of essential codimension of Brown, Douglas, and Fillmore using KK-theory and prove a result which asserts that there is a unitary of the
form ‘identity + compac...
Two-variable Wiman-Valiron theory and PDEs - Erratum
Two-variable Wiman-Valiron theory PDEs - Erratum
2010/12/15
This note corrects Example 3.2 in a published paper with the same title.Mathematics Subject Classification 32A15
Function Theory on a q-Analog of Complex Hyperbolic Space
Function Theory q-Analog of Complex Hyperbolic Space
2010/12/15
This work deals with function theory on quantum complex hyperbolic spaces. The prin-cipal notions are expounded. We obtain explicit formulas for invariant integrals on ‘finite’
functions on a quantum...