Results 11 to 20 of about 186 (128)
On equicontinuity and tightness of bi-continuous semigroups
In contrast to classical strongly continuous semigroups, the study of bi-continuous semigroups comes with some freedom in the properties of the associated locally convex topology.
Schwenninger, Felix L.; id_orcid +4 more
core +1 more source
A Pettis-type integral and applications to transition semigroups [PDF]
summary:Motivated by applications to transition semigroups, we introduce the notion of a norming dual pair and study a Pettis-type integral on such pairs. In particular, we establish a sufficient condition for integrability. We also introduce and study a
Vogt, Hendrik +3 more
core +1 more source
The Specification Property for C0-Semigroups [PDF]
[EN] We study one of the strongest versions of chaos for continuous dynamical systems, namely the specification property. We extend the definition of specification property for operators on a Banach space to strongly continuous one-parameter semigroups ...
Bartoll Arnau, Salud +3 more
core +1 more source
Openly factorizable spaces and compact extensions of topological semigroups [PDF]
summary:We prove that the semigroup operation of a topological semigroup $S$ extends to a continuous semigroup operation on its Stone-Čech compactification $\beta S$ provided $S$ is a pseudocompact openly factorizable space, which means that each map $f ...
Banakh, Taras, Dimitrova, Svetlana
core +1 more source
Bochner's Theorem and the Hausdorff Moment Theorem on foundation Topological Semigroups
One of the most basic theorems in harmonic analysis on locally compact commutative groups is Bochner's theorem (see [16, p. 19]). This theorem characterizes the positive definite functions. In 1971, R. Lindhal and P. H.
M. Lashkarizadeh Bami
core +1 more source
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Isotopy and equivalence of knots in 3‐manifolds
Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
wiley +1 more source
Free non-archimedean topological groups [PDF]
summary:We study free topological groups defined over uniform spaces in some subclasses of the class $\mathbf{NA}$ of non-archimedean groups. Our descriptions of the corresponding topologies show that for metrizable uniformities the corresponding free ...
Megrelishvili, Michael +1 more
core +1 more source
Stochastic Dynamics From Maximum Entropy in Action Space
ABSTRACT We develop an information‐theoretic formulation of stochastic dynamics in which the fundamental stochastic variable is the total action connecting spacetime points, rather than individual paths. By maximizing Shannon entropy over a joint distribution of actions and endpoints, subject to normalization and a constraint on the mean action, we ...
Fabricio Souza Luiz +3 more
wiley +1 more source
Analysis on Locally Compact Semitopological Semigroups
This thesis focuses on the measure algebra M(S) of a locally compact semitopological semigroup S. In particular, we consider the analog of the group algebra L1(G) of a locally compact group G on S and the topological amenability of S. Among other results
Huang, Qianhong
core +1 more source

