Results 61 to 70 of about 151,084 (121)

Continuity of additive 𝜅-metric functions and metrization of 𝜅-metric spaces [PDF]

Proceedings of the American Mathematical Society, 1988
For an additive κ \kappa -metric space X X with an s ( x ) s\left ( x \right ) -continuous κ \kappa -metric d ( x , C ) d\left ( {x ...
openaire   +1 more source

Dual spaces of geodesic currents

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley   +1 more source

Average‐Case Matrix Discrepancy: Satisfiability Bounds

Random Structures &Algorithms, Volume 67, Issue 3, October 2025.
ABSTRACT Given a sequence of d×d$$ d\times d $$ symmetric matrices {Wi}i=1n$$ {\left\{{\mathbf{W}}_i\right\}}_{i=1}^n $$, and a margin Δ>0$$ \Delta >0 $$, we investigate whether it is possible to find signs (ε1,…,εn)∈{±1}n$$ \left({\varepsilon}_1,\dots, {\varepsilon}_n\right)\in {\left\{\pm 1\right\}}^n $$ such that the operator norm of the signed sum ...
Antoine Maillard
wiley   +1 more source

Compact metrizable groups are isometry groups of compact metric spaces [PDF]

Proceedings of the American Mathematical Society, 2007
This note is devoted to proving the following result: given a compact metrizable group G, there is a compact metric space K such that G is isomorphic (as a topological group) to the isometry group of K.
openaire   +3 more sources

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Deformations of Anosov subgroups: Limit cones and growth indicators

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley   +1 more source

Graphical models for topological groups: A case study on countable Stone spaces

Bulletin of the London Mathematical Society, Volume 57, Issue 8, Page 2311-2335, August 2025.
Abstract By analogy with the Cayley graph of a group with respect to a finite generating set or the Cayley–Abels graph of a totally disconnected, locally compact group, we detail countable connected graphs associated to Polish groups that we term Cayley–Abels–Rosendal graphs.
Beth Branman, George Domat, Hannah Hoganson, Robert Alonzo Lyman   +3 more
wiley   +1 more source

Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces

, 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, Vaezpour, S. Mansour, Soleiman, Hossein   +2 more
openaire   +2 more sources

A well‐posed variational approach to the identification and convergent approximation of material laws from boundary data

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 7, July 2025.
Abstract We formulate the problem of material identification as a problem of optimal control in which the deformation of the specimen is the state variable and the unknown material law is the control variable. We assume that the material obeys finite elasticity and that the deformation of the specimen is in static equilibrium with prescribed boundary ...
Sergio Conti, Michael Ortiz
wiley   +1 more source

Proceedings of the Japan Academy - History, database, and trend. [PDF]

Proc Jpn Acad Ser B Phys Biol Sci, 2023
Iye M.
europepmc   +1 more source