Asymptotically commuting families of operators.
Asymptotically cyclic quasianalytic contractions
The study of quasianalytic contractions, motivated by the hyperinvariant subspace problem, is continued. Special emphasis is put on the case when the contraction is asymptotically cyclic. New properties of the functional commutant are explored. Analytic contractions and bilateral weighted shifts are discussed as illuminating examples.
Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences
Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
Asymptotically pseudocontractions, Banach operator pairs and best simultaneous approximations.
Asymptotically stable almost-periodic oscillations in systems with hysteresis nonlinearities.
Asymptotics of solutions to some boundary value problems of elasticity for bodies with cuspidal edges.
Asymptotics of sums of subcoercive operators
We examine the asymptotic, or large-time, behaviour of the semigroup kernel associated with a finite sum of homogeneous subcoercive operators acting on a connected Lie group of polynomial growth. If the group is nilpotent we prove that the kernel is bounded by a convolution of two Gaussians whose orders correspond to the highest and lowest orders of the homogeneous subcoercive components of the generator. Moreover we establish precise asymptotic estimates on the difference of the kernel and the...
Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one.
We consider a periodic pseudo-differential operator on the real line, which is a lower-order perturbation of an elliptic operator with a homogeneous symbol and constant coefficients. It is proved that the density of states of such an operator admits a complete asymptotic expansion at large energies. A few first terms of this expansion are found in a closed form.
Asymptotique de la phase de diffusion à haute énergie pour des perturbations du second ordre du laplacien
Asymptotique de la phase de diffusion pour l’opérateur de Schrödinger dans
Asymptotique des largeurs de résonances pour un modèle d'effet tunnel microlocal
Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes
Asymptotische Fehlerschranken für Rayleigh-Ritz-Approximationen selbstadjungierter Eigenwertaufgaben.
Attractors and a fixed point theorem in locally convex space
Attractors and asymptotic periodicity of positive operators on Banach lattices.
Attractors of iterated function systems and Markov operators.
Attractors of multivalued semiflows generated by differential inclusions and their approximations.
Attractors of Strongly Dissipative Systems
A class of infinite-dimensional dissipative dynamical systems is defined for which there exists a unique equilibrium point, and the rate of convergence to this point of the trajectories of a dynamical system from the above class is exponential. All the trajectories of the system converge to this point as t → +∞, no matter what the initial conditions are. This class consists of strongly dissipative systems. An example of such systems is provided by passive systems in network theory (see, e.g., MR0601947...
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