Results 61 to 70 of about 137,540 (108)

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

Complete positivity and distance-avoiding sets. [PDF]

open access: yesMath Program, 2022
DeCorte E, Filho FMO, Vallentin F.
europepmc   +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

The metrization of statistical metric spaces [PDF]

open access: yesPacific Journal of Mathematics, 1960
Schweizer, B., Sklar, A., Thorp, E.
openaire   +2 more sources

A short proof of the metrizability of $\mathcal{F}$-metric spaces

open access: yes, 2019
The main purpose of this manuscript is to provide a short proof of the metrizability of $\mathcal{F}$-metric spaces introduced by Jleli and Samet in \cite[\, Jleli, M. and Samet, B., On a new generalization of metric spaces, J. Fixed Point Theory Appl. (2018) 20:128]{JS1}.
Som, Sumit, Dey, Lakshmi Kanta
openaire   +2 more sources

A new generalization on metric space and its metrizability.

open access: yesJOURNAL OF ADVANCES IN MATHEMATICS
In this paper, our particular scope is to give a new generalization for the metric function and after that a proof of the metrizability of generalized φ-metric space. This new approach is influenced by the Chittenden’s metrization theorem.
Stela Çeno, Ledia Subashi
openaire   +1 more source

The topological type of spaces consisting of certain metrics on locally compact metrizable spaces with the compact-open topology

open access: yes, 2022
For a separable locally compact but not compact metrizable space $X$, let $ X = X \cup \{x_\infty\}$ be the one-point compactification with the point at infinity $x_\infty$. We denote by $EM(X)$ the space consisting of admissible metrics on $X$, which can be extended to an admissible metric on $ X$, endowed with the compact-open topology.
openaire   +2 more sources

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