Geometric inverse semigroup theory: a note on the Milnor–Schwarz lemma for inverse monoids
Abstract We generalise the Milnor–Schwarz lemma to inverse monoids acting on presheaves of geodesic metric spaces. We provide two proofs of this fact: one only uses elementary techniques, inspired by the arguments for group actions on metric spaces; the other involves a version of the Vietoris–Rips complex, and builds on work of Chung–Martínez–Szakács.
Giorgio Mangioni, Francesco Tesolin
wiley +1 more source
Differentiability and other properties of the cosmological volume function. [PDF]
García-Heveling L.
europepmc +1 more source
Uniformization of cofat domains on metric two‐spheres
Abstract We extend Schramm's cofat uniformization theorem to cofat domains on upper Ahlfors 2‐regular metric two‐spheres X$X$. Specifically, we show that if Ω⊂X$\Omega \subset X$ is a cofat domain, then there exists a π2$\frac{\pi }{2}$‐quasiconformal homeomorphism f:Ω→D$f: \Omega \rightarrow D$ onto a circle domain D⊂S2$D \subset \mathbb {S}^2 ...
Chengxi Li, Kai Rajala
wiley +1 more source
DAFRL: a dynamic adaptive mean field game-based multi-agent cooperative decision-making method. [PDF]
Tang Y, Fan C, Yu D.
europepmc +1 more source
Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves
Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena +1 more
wiley +1 more source
Beyond diagonal noise: A better predator-prey modeling framework with cross-covariance. [PDF]
Yu J, Wang LS.
europepmc +1 more source
h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley +1 more source
Fractional caputo modeling of delayed disease dynamics: sensitivity analysis and control strategies incorporating environmental influences. [PDF]
Pathak S, Kota VR.
europepmc +1 more source
A scaling limit theorem for controlled branching processes with a size-divisible term. [PDF]
González M +2 more
europepmc +1 more source
Modeling of fractional order DPG model insight global warming and pollution effect on desertification for control mechanism. [PDF]
Farman M +6 more
europepmc +1 more source

