Results 51 to 60 of about 1,774 (96)

Mean‐field limit of non‐exchangeable systems

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.
Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin   +2 more
wiley   +1 more source

Relative cubulation of relative strict hyperbolization

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley   +1 more source

Metrizability of Topological Vector Space Valued Cone Metric Spaces

open access: yes, 2010
This paper has been withdrawn by the authors. We withdraw our paper due to the acceptance in the journal "Applied Mathematics Letters" with a different title.
Cakalli, Huseyin   +2 more
openaire   +2 more sources

On Shehtman's two problems

open access: yesJournal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We provide partial solutions to two problems posed by Shehtman concerning the modal logic of the Čech–Stone compactification of an ordinal space. We use the Continuum Hypothesis to give a finite axiomatization of the modal logic of β(ω2)$\beta (\omega ^2)$, thus resolving Shehtman's first problem for n=2$n=2$. We also characterize modal logics
Guram Bezhanishvili   +3 more
wiley   +1 more source

Infinite unrestricted sumsets of the form B+B$B+B$ in sets with large density

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 1, Page 48-68, January 2025.
Abstract For a set A⊂N$A \subset {\mathbb {N}}$, we characterize the existence of an infinite set B⊂N$B \subset {\mathbb {N}}$ and t∈{0,1}$t \in \lbrace 0,1\rbrace$ such that B+B⊂A−t$B+B \subset A-t$, where B+B={b1+b2:b1,b2∈B}$B+B =\lbrace b_1+b_2\colon b_1,b_2 \in B\rbrace$, in terms of the density of the set A$A$. Specifically, when the lower density
Ioannis Kousek, Tristán Radić
wiley   +1 more source

ℐ-sn-metrizable spaces and the images of semi-metric spaces

open access: yesOpen Mathematics
Abstract The theory of generalized metric spaces is an active topic in general topology. In this article, we utilize the concepts of ideal convergence and networks to discuss the metrization problem and the mutual classification problem between spaces and mappings in topological spaces. We define
Zhou, Xiangeng   +3 more
openaire   +2 more sources

A Quantitative Version of James’s Reflexivity Theorem

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this note, we will use a measure of nonreflexivity of Banach spaces, a measure of nonbounded completeness of bases, and a measure of nonshrinkingness of bases to prove a quantitative version of the well‐known reflexivity theorem due to R. C. James.
Xuemei Xue, Richard I. Avery
wiley   +1 more source

Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces

open access: yes, 2011
In this paper we show that by renorming an ordered Banach space, every cone P can be converted to a normal cone with constant K = 1 and consequently due to this approach every cone metric space is really a metric one and every theorem in metric space valid for cone metric space automatically.
Asadi, Mehdi   +2 more
openaire   +2 more sources

The metrization of statistical metric spaces [PDF]

open access: yesPacific Journal of Mathematics, 1960
Schweizer, B., Sklar, A., Thorp, E.
openaire   +3 more sources

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