Results 41 to 50 of about 9,544 (144)
Graph theory combined with chemistry provides a strong framework for modeling and assessing chemical compounds. By representing molecules as graphs and applying topological indices, chemists can gain profound insights into the physical and chemical characteristics of compounds.
Kalpana R.+2 more
wiley +1 more source
Topological Wiener-Wintner theorems for amenable operator semigroups
Inspired by topological Wiener-Wintner theorems we study the mean ergodicity of amenable semigroups of Markov operators on $C(K)$ and show the connection to the convergence of strong and weak ergodic nets.
Schreiber, Marco
core +1 more source
For the Weinstein Laplacian considered on the Hilbert space which makes it a self‐adjoint operator, the Von Neumann spectral decomposition is given. As applications, a new integral representation for the Weinstein heat kernel is given. Also, it is proved that the spectrum of the semigroup associated with the Weinstein Laplacian is reduced to its ...
Abdelilah El Mourni+3 more
wiley +1 more source
Recent developments around partial actions
We give an overview of publications on partial actions and related concepts, paying main attention to some recent developments.Comment: New bibliography added and ...
Dokuchaev, Mikhailo
core +1 more source
Substitutions and their Generalisations
Abstract Tilings and point sets arising from substitutions are classical mathematical models of quasicrystals. Their hierarchical structure allows one to obtain concrete answers regarding spectral questions tied to the underlying measures and potentials.
Neil Mañibo
wiley +1 more source
Banach representations and affine compactifications of dynamical systems
To every Banach space V we associate a compact right topological affine semigroup E(V). We show that a separable Banach space V is Asplund if and only if E(V) is metrizable, and it is Rosenthal (i.e.
Glasner, Eli, Megrelishvili, Michael
core +1 more source
On representation of semigroups of inclusion hyperspaces
Given a group $X$ we study the algebraic structure of the compactright-topological semigroup $G(X)$ consisting of inclusionhyperspaces on $X$. This semigroup contains the semigroup$lambda(X)$ of maximal linked systems as a closed subsemigroup.We ...
Gavrylkiv V.M.
doaj
Badly approximable grids and k$k$‐divergent lattices
Abstract Let A∈Matm×n(R)$A\in \operatorname{Mat}_{m\times n}(\mathbb {R})$ be a matrix. In this paper, we investigate the set BadA⊂Tm$\operatorname{Bad}_A\subset \mathbb {T}^m$ of badly approximable targets for A$A$, where Tm$\mathbb {T}^m$ is the m$m$‐torus. It is well known that BadA$\operatorname{Bad}_A$ is a winning set for Schmidt's game and hence
Nikolay Moshchevitin+2 more
wiley +1 more source
On metrizable enveloping semigroups [PDF]
When a topological group $G$ acts on a compact space $X$, its enveloping semigroup $E(X)$ is the closure of the set of $g$-translations, $g\in G$, in the compact space $X^X$. Assume that $X$ is metrizable.
Glasner, Eli+2 more
core +4 more sources
Categorically closed topological groups
Let $\mathcal C$ be a subcategory of the category of topologized semigroups and their partial continuous homomorphisms. An object $X$ of the category ${\mathcal C}$ is called ${\mathcal C}$-closed if for each morphism $f:X\to Y$ of the category ...
Banakh, Taras
core +2 more sources