Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Ballmann, Werner"'
We discuss certain random walks on discrete groups of isometries of hyperbolic spaces and their Martin boundaries.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2408.13887
Autor:
Mondal, Sugata, Ballmann, Werner
We study the behaviour of eigenvalues, below the bottom of the essential spectrum, of the Laplacian under finite Riemannian coverings of complete and connected Riemannian manifolds. We define spectral stability and instability of such coverings. Amon
Externí odkaz:
http://arxiv.org/abs/2311.14445
Publikováno v:
SIGMA 19 (2023), 050, 19 pages
We show the absolute continuity of the spectrum and determine the spectrum as a set for two classes of Hadamard manifolds and for specific domains and quotients of one of the classes.
Externí odkaz:
http://arxiv.org/abs/2301.10986
We discuss the behaviour of the bottom of the spectrum of scalar Schr\"odinger operators under Riemannian coverings of orbifolds. We apply our results to geometrically finite and to conformally compact orbifolds.
Comment: 30 pages
Comment: 30 pages
Externí odkaz:
http://arxiv.org/abs/2110.04712
Publikováno v:
Math. Res. Lett. 31 (2024), no. 1, 1-24
We estimate the number of small eigenvalues of Schr\"odinger operators on Riemannian vector bundles over geometrically finite manifolds.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/2106.13437
We discuss the essential spectrum of essentially self-adjoint elliptic differential operators of first order and of Laplace type operators on Riemannian vector bundles over geometrically finite orbifolds.
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/2103.13704
We derive lower bounds for the essential spectrum of the Hodge-Laplacian on geometrically finite orbifolds and their suborbifolds.
Comment: This paper will not be submitted anymore for publication in a journal since its main results are supersed
Comment: This paper will not be submitted anymore for publication in a journal since its main results are supersed
Externí odkaz:
http://arxiv.org/abs/2011.13304
For covering spaces and properly discontinuous actions with compatible diffusion operators, we discuss Lyons-Sullivan discretizations of the associated diffusions and harmonic functions of bounded growth.
Comment: 21 pages
Comment: 21 pages
Externí odkaz:
http://arxiv.org/abs/2002.03835
Akademický článek
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We discuss the behaviour of the bottom of the spectrum of scalar Schr\"odinger operators under Riemannian coverings.
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/1911.04371