Results 1 to 10 of about 47 (47)
Characterization of pre-idempotent Copulas
Copulas CC for which (CtC)2=CtC{({C}^{t}C)}^{2}={C}^{t}C are called pre-idempotent copulas, of which well-studied examples are idempotent copulas and complete dependence copulas.
Chamnan Wongtawan, Sumetkijakan Songkiat
doaj +1 more source
Quasi‐isometric diversity of marked groups
Abstract We use basic tools of descriptive set theory to prove that a closed set S of marked groups has 2ℵ0 quasi‐isometry classes, provided that every non‐empty open subset of S contains at least two non‐quasi‐isometric groups. It follows that every perfect set of marked groups having a dense subset of finitely presented groups contains 2ℵ0 quasi ...
A. Minasyan, D. Osin, S. Witzel
wiley +1 more source
Background – Oclacitinib is an effective systemic therapy for dogs with atopic dermatitis (AD). Few studies have evaluated concurrent topical treatment with oclacitinib in dogs. Objectives – To evaluate the efficacy and safety of combination therapy of oclacitinib and 0.0584% hydrocortisone aceponate (HCA) spray in dogs with AD.
Junko Takahashi +9 more
wiley +1 more source
Minimal definable graphs of definable chromatic number at least three
We show that there is a Borel graph on a standard Borel space of Borel chromatic number three that admits a Borel homomorphism to every analytic graph on a standard Borel space of Borel chromatic number at least three. Moreover, we characterize the Borel
Raphaël Carroy +3 more
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Haar null and Haar meager sets: a survey and new results
Abstract We survey results about Haar null subsets of (not necessarily locally compact) Polish groups. The aim of this paper is to collect the fundamental properties of the various possible definitions of Haar null sets, and also to review the techniques that may enable the reader to prove results in this area.
Márton Elekes, Donát Nagy
wiley +1 more source
A dichotomy of sets via typical differentiability
We obtain a criterion for an analytic subset of a Euclidean space to contain points of differentiability of a typical Lipschitz function: namely, that it cannot be covered by countably many sets, each of which is closed and purely unrectifiable (has a ...
Michael Dymond, Olga Maleva
doaj +1 more source
Non‐compact random generalized games and random quasi‐variational inequalities
In this paper, existence theorems of random maximal elements, random equilibria for the random one‐person game and random generalized game with a countable number of players are given as applications of random fixed point theorems. By employing existence theorems of random generalized games, we deduce the existence of solutions for non‐compact random ...
Xian-Zhi Yuan
wiley +1 more source
On existence of the support of a Borel measure
We present arguments showing that the standard notion of the support of a probabilistic Borel measure is not well defined in every topological space. Our goal is to create a “very inseparable” space and to show the existence of a family of closed sets ...
Kozarzewski Piotr A.
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Background – Inhibition of the Janus kinase (JAK) pathway is a well‐established option for canine atopic dermatitis (cAD). Objective – To evaluate the efficacy and safety of ilunocitinib, a novel JAK inhibitor for the control of pruritus and skin lesions in client‐owned dogs with cAD.
Sophie Forster +5 more
wiley +1 more source
A metric space associated with probability space
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 277-282, 1993.
Keith F. Taylor, Xikui Wang
wiley +1 more source

