Asymptotic completeness in long range scattering. II
Asymptotic expansion in time of the Schrödinger group on conical manifolds
For Schrödinger operator on Riemannian manifolds with conical end, we study the contribution of zero energy resonant states to the singularity of the resolvent of near zero. Long-time expansion of the Schrödinger group is obtained under a non-trapping condition at high energies.
Asymptotic intertwining and spectral inclusions on Banach spaces
Asymptotic observables and Coulomb scattering for the Dirac equation
Asymptotic optimality of generalized cross-validation for choosing the regularization parameter.
Asymptotic spectral distributions of distance-k graphs of Cartesian product graphs
Let G be a finite connected graph on two or more vertices, and the distance-k graph of the N-fold Cartesian power of G. For a fixed k ≥ 1, we obtain explicitly the large N limit of the spectral distribution (the eigenvalue distribution of the adjacency matrix) of . The limit distribution is described in terms of the Hermite polynomials. The proof is based on asymptotic combinatorics along with quantum probability theory.
Asymptotic stability of a system of randomly connected transformations on Polish spaces
We give sufficient conditions for the existence of a matrix of probabilities such that a system of randomly chosen transformations , k = 1,...,N, with probabilities is asymptotically stable.
Asymptotic stability of Schrödinger semigroups: path integral methods.
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
Asymptotics of solutions to some boundary value problems of elasticity for bodies with cuspidal edges.
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 of iterated function systems and Markov operators.
Automatic continuity of operational calculi on algebras of differentiable functions
Automatic continuity of translation - invariant linear operators