Results 41 to 50 of about 105 (93)
Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley +1 more source
Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities
ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
wiley +1 more source
Upper Comonotonicity and Risk Aggregation Under Dependence Uncertainty
ABSTRACT In this paper, we study dependence uncertainty and the resulting effects on tail risk measures, which play a fundamental role in modern risk management. We introduce the notion of a regular dependence measure, defined on multimarginal couplings, as a generalization of well‐known correlation statistics such as the Pearson correlation. The first
Corrado De Vecchi +2 more
wiley +1 more source
Compact metrizable groups are isometry groups of compact metric spaces [PDF]
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
ℐ-sn-metrizable spaces and the images of semi-metric spaces
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
Metrizability of Topological Vector Space Valued Cone Metric Spaces
This paper has been withdrawn by the authors.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
Proceedings of the Japan Academy - History, database, and trend. [PDF]
Iye M.
europepmc +1 more source
The metrization of statistical metric spaces [PDF]
Schweizer, B., Sklar, A., Thorp, E.
openaire +2 more sources
Complete positivity and distance-avoiding sets. [PDF]
DeCorte E, Filho FMO, Vallentin F.
europepmc +1 more source
Metrizability of Cone Metric Spaces Via Renorming the Banach Spaces
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

