Results 51 to 60 of about 10,159 (123)
Quantitative expansivity for ergodic Zd$\mathbb {Z}^d$‐actions
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We study expansiveness properties of positive measure subsets of ergodic Zd$\mathbb {Z}^d$‐actions along two different types of structured subsets of Zd$\mathbb {Z}^d$, namely, cyclic subgroups and images of integer polynomials. We prove quantitative expansiveness properties in both cases, strengthening combinatorial results from two distinct ...
Alexander Fish, Sean Skinner
wiley +1 more source
Substitutions on compact alphabets
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.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
Random Structures &Algorithms, Volume 66, Issue 1, January 2025.Abstract The entropic doubling σent[X]$$ {\sigma}_{\mathrm{ent}}\left[X\right] $$ of a random variable X$$ X $$ taking values in an abelian group G$$ G $$ is a variant of the notion of the doubling constant σ[A]$$ \sigma \left[A\right] $$ of a finite subset A$$ A $$ of G$$ G $$, but it enjoys somewhat better properties; for instance, it contracts upon ...
Ben Green, Freddie Manners, Terence Tao
wiley +1 more source
A note on set-valued Henstock--McShane integral in Banach (lattice) space setting [PDF]
, 2015 We study Henstock-type integrals for functions defined in a Radon measure space and taking values in a Banach lattice $X$. Both the single-valued case and the multivalued one are considered (in the last case mainly $cwk(X)$-valued mappings are discussed).
Boccuto, Antonio +2 more
core
Order denseness in free Banach lattices
We prove a fundamental property: the free vector lattice $FVL[E]$ over a Banach space E is order dense in the free p-convex Banach lattice $FBL^{(p)}[E],~~1 ^leq p \leq \infty,$ if and only if E is finite-dimensional. In a recent work, Oikhberg, Tradacete, Taylor, and Troitsky claimed that order denseness holds for all Banach spaces. We point out a gap
Azouzi, Youssef, Dhifaoui, Wassim
openaire +2 more sources
ℓp$\ell ^p$ metrics on cell complexes
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Motivated by the observation that groups can be effectively studied using metric spaces modelled on ℓ1$\ell ^1$, ℓ2$\ell ^2$ and ℓ∞$\ell ^\infty$ geometry, we consider cell complexes equipped with an ℓp$\ell ^p$ metric for arbitrary p$p$. Under weak conditions that can be checked locally, we establish non‐positive curvature properties of these
Thomas Haettel, Nima Hoda, Harry Petyt
wiley +1 more source
Regularizations of forward‐backward parabolic PDEs
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract Forward‐backward parabolic equations have been studied since the 1980s, but a mathematically rigorous picture is still far from being established. As quite a number of new papers have appeared recently, we review in this work the current state of the art.
Carina Geldhauser
wiley +1 more source
A Hierarchy of Maps Between Compacta [PDF]
, 1999 Let CH be the class of compacta (i.e., compact Hausdorff spaces), with BS the subclass of Boolean spaces. For each ordinal α and pair $\langle K,L\rangle$ of subclasses of CH, we define Lev≥α K,L), the class of maps of level at least α from spaces in K ...
Bankston, Paul
core +1 more source
Periodic Lorentz gas with small scatterers. [PDF]
Probab Theory Relat Fields, 2023 Bálint P, Bruin H, Terhesiu D.
europepmc +1 more source
The Jordan lattice completion and a note on injective envelopes and von Neumann algebras
, 2018 The article associates two fundamental lattice constructions with each regular unital real ordered Banach space (function system). These are used to establish certain results in the theory of operator algebras, specifically relating the injective ...
Haag, Ulrich
core