Results 21 to 30 of about 105 (104)

Graphical Homotopy Theory for Intersection Graphs of Semigroups via Path Spaces and Uniform Structures with Applications to Graphical Total Semigroups

Mathematics
In this article, we study the homotopy aspects of intersection graphs of topological semigroups. We begin by defining the top intersection graph TGX and investigating how the algebraic and topological properties of a topological semigroup are reflected ...
Maryam F. Alshammari, Fozaiyah Alhubairah, Amin Saif   +2 more
doaj   +1 more source

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, Corey Bregman, Christopher W. Davis, JungHwan Park, Arunima Ray   +4 more
wiley   +1 more source

On the topological structure of a finitely generated semigroup of matrices

Semigroup Forum, 1988
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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, José Carlos Bellizotti Souza, Luísa Toledo Tude, Marcos César de Oliveira   +3 more
wiley   +1 more source

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
wiley   +1 more source

Acting Fibrations and Lifting Functions in the Homotopy Theory of Single Intersection Graphs over Topological Semigroups

Mathematics
In this paper, we study the homotopy theory of single intersection graphs arising from acting spaces over topological semigroups. An acting space (S,B) is defined as a topological space B equipped with a continuous action of a topological semigroup S ...
Fozaiyah Alhubairah, Adem Kiliçman, Maryam F. Alshammari, Altaf Alshuhail   +3 more
doaj   +1 more source

Excursion theory for Markov processes indexed by Lévy trees

Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.
Abstract We develop an excursion theory that describes the evolution of a Markov process indexed by a Lévy tree away from a regular and instantaneous point x$x$ of the state space. The theory builds upon a notion of local time at x$x$ that was recently introduced in the companion paper [Probab. Theory Related Fields. 189 (2024), 1–99].
Armand Riera, Alejandro Rosales‐Ortiz
wiley   +1 more source

Noncommutative polygonal cluster algebras

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg, Dani Kaufman, Merik Niemeyer, Anna Wienhard   +3 more
wiley   +1 more source

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source