Results 31 to 40 of about 175 (135)
Quasiminimal distal function space and its semigroup compactification
International Journal of Mathematics and Mathematical Sciences, 1995 Quasiminimal distal function on a semitopological semigroup is introduced. The concept of right topological semigroup compactification is employed to study the algebra of quasiminimal distal functions.
R. D. Pandian
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.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
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Isotopy and equivalence of knots in 3‐manifolds
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.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
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Stochastic Dynamics From Maximum Entropy in Action Space
Fortschritte der Physik, Volume 74, Issue 5, May 2026.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
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Algebraic singular functions are not always dense in the ideal of C∗$C^*$‐singular functions
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We give the first examples of étale (non‐Hausdorff) groupoids G$\mathcal {G}$ whose C∗$C^*$‐algebras contain singular elements that cannot be approximated by singular elements in Cc(G)$\mathcal {C}_c(\mathcal {G})$. We provide two examples: one is a bundle of groups and the other a minimal and effective groupoid constructed from a self‐similar
Diego Martínez, Nóra Szakács
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Extending binary operations to funtor-spaces
Karpatsʹkì Matematičnì Publìkacìï, 2009 Given a continuous monadic functor $T:CompoComp$ in thecategory of compacta and a discrete topological semigroup $X$ weextend the semigroup operation $varphi:Ximes Xo X$ to aright-topological semigroup operation $Phi:Teta Ximes TetaXo Teta X,$ whose ...
T. O. Banakh, V. M. Gavrylkiv
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Thickness in topological transformation semigroups
International Journal of Mathematics and Mathematical Sciences, 1993 This article deals with thickness in topological transformation semigroups (τ-semigroups). Thickness is used to establish conditions guaranteeing an invariant mean on a function space defined on a τ-semigroup if there exists an invariant mean on its ...
Tyler Haynes
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On a complete topological inverse polycyclic monoid
Karpatsʹkì Matematičnì Publìkacìï, 2016 We give sufficient conditions when a topological inverse $\lambda$-polycyclic monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological inverse semigroups.
S.O. Bardyla, O.V. Gutik
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An Application of Sombor Index over a Special Class of Semigroup Graph
Journal of Mathematics, 2021 Recently, Gutman introduced a class of novel topological invariants named Sombor index which is defined asSOG=∑uv∈EGdu2+dv2. In this study, the Sombor index of monogenic semigroup graphs, which is an important class of algebraic structures, is calculated.
Seda Oğuz Ünal
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Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract In this work, we provide conditions for nonlinear monotone semigroups on locally convex vector lattices to give rise to a generalized notion of viscosity solutions to a related nonlinear partial differential equation. The semigroup needs to satisfy a convexity estimate, so called K$K$‐convexity, with respect to another family of operators ...
Fabian Fuchs, Max Nendel
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