Results 61 to 70 of about 382,533 (273)
Hausdorff dimensions of irreducible Markov hom tree‐shifts
Abstract This paper features a Cramér's theorem for finite‐state Markov chains indexed by rooted d$d$‐trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost‐sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space ...
Jung‐Chao Ban+2 more
wiley +1 more source
Semigroup compactification of projective limits of topological semigroups
AbstractThe purpose of this paper is to present some results concerning semigroup compactifications. It is shown that the limit of the projective system of semigroup compactifications of a topological semigroup S itself is a semigroup compactification of S.
openaire +2 more sources
Traces on the uniform tracial completion of Z$\mathcal {Z}$‐stable C∗${\rm C}^*$‐algebras
Abstract The uniform tracial completion of a C∗${\rm C}^*$‐algebra A$A$ with compact trace space T(A)≠∅$T(A) \ne \emptyset$ is obtained by completing the unit ball with respect to the uniform 2‐seminorm ∥a∥2,T(A)=supτ∈T(A)τ(a∗a)1/2$\Vert a\Vert _{2,T(A)}=\sup _{\tau \in T(A)} \tau (a^*a)^{1/2}$. The trace problem asks whether every trace on the uniform
Samuel Evington
wiley +1 more source
ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS [PDF]
. A topological group H is called ω -narrow if for every neighbourhood V of it’s identity element there exists a countable set A such that V A = H = AV.
M. R. Ahmadi Zand, S. Rostami
doaj +1 more source
Intrinsic Hopf–Lax formula and Hamilton–Jacobi equation
Abstract The purpose of this article is to analyze the notion of intrinsic Hopf–Lax formula and its connection with the Hamilton–Jacobi‐type equation.
Daniela Di Donato
wiley +1 more source
Derivations on Certain Semigroup Algebras [PDF]
In the present paper we give a partially negative answer to a conjecture of Ghahramani, Runde and Willis. We also discuss the derivation problem for both foundation semigroup algebras and Clifford semigroup algebras.
M. Lashkarizadeh Bami
doaj
Substitutions on compact alphabets
Abstract We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts.
Neil Mañibo, Dan Rust, James J. Walton
wiley +1 more source
Extending binary operations to funtor-spaces
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
doaj
An Application of Sombor Index over a Special Class of Semigroup Graph
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
doaj +1 more source
Complete Invariant ⋆-Metrics on Semigroups and Groups
In this paper, we study the complete ⋆-metric semigroups and groups and the Raǐkov completion of invariant ⋆-metric groups. We obtain the following. (1) Let (X,d⋆) be a complete ⋆-metric space containing a semigroup (group) G that is a dense subset of X.
Shi-Yao He, Jian-Cai Wei, Li-Hong Xie
doaj +1 more source