Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Bandtlow, Oscar F."'
Building on tools that have been successfully used in the study of rational billiards, such as induced maps and interval exchange transformations, we provide a construction of a one-parameter family of isosceles triangles exhibiting non-periodic traj
Externí odkaz:
http://arxiv.org/abs/2406.17734
Extended dynamic mode decomposition (EDMD) is a data-driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method of order N and collocation method of order M. Spectral converg
Externí odkaz:
http://arxiv.org/abs/2404.08512
We show that spectral data of the Koopman operator arising from an analytic expanding circle map $\tau$ can be effectively calculated using an EDMD-type algorithm combining a collocation method of order m with a Galerkin method of order n. The main r
Externí odkaz:
http://arxiv.org/abs/2308.01467
A complete description of resonances for rational toral Anosov diffeomorphisms preserving certain Reinhardt domains is presented. As a consequence it is shown that every homotopy class of two-dimensional Anosov diffeomorphisms contains maps with the
Externí odkaz:
http://arxiv.org/abs/2211.05925
Publikováno v:
In Applied and Computational Harmonic Analysis November 2024 73
Autor:
Guven, Ayse, Bandtlow, Oscar F.
We introduce compactness classes of Hilbert space operators by grouping together all operators for which the associated singular values decay at a certain speed and establish upper bounds for the norm of the resolvent of operators belonging to a part
Externí odkaz:
http://arxiv.org/abs/2005.13891
We show that spectral data of transfer operators given by holomorphic data can be approximated using an effective numerical scheme based on Lagrange interpolation. In particular, we show that for one-dimensional systems satisfying certain complex con
Externí odkaz:
http://arxiv.org/abs/2004.03534
Autor:
Bandtlow, Oscar F., Nivoche, Stéphanie
Given a domain $D$ in $\mathbb{C}^n$ and $K$ a compact subset of $D$, the set $\mathcal{A}_K^D$ of all restrictions of functions holomorphic on $D$ the modulus of which is bounded by $1$ is a compact subset of the Banach space $C(K)$ of continuous fu
Externí odkaz:
http://arxiv.org/abs/1906.00918
Extended dynamic mode decomposition (EDMD) provides a class of algorithms to identify patterns and effective degrees of freedom in complex dynamical systems. We show that the modes identified by EDMD correspond to those of compact Perron-Frobenius an
Externí odkaz:
http://arxiv.org/abs/1905.09266
Publikováno v:
In Physica D: Nonlinear Phenomena March 2023 445