Results 51 to 60 of about 88,517 (218)
Analysis and Geometry in Metric Spaces, 2020 This paper studies the Hausdorff dimension of the intersection of isotropic projections of subsets of ℝ2n, as well as dimension of intersections of sets with isotropic planes. It is shown that if A and B are Borel subsets of ℝ2n of dimension greater than
Román-García Fernando
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We analyze the asymptotic behavior of the solutions of the corresponding random differential systems to establish conditions on the model parameters under which the ...
Javier López‐de‐la‐Cruz +2 more
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CONTINUITY OF UNIVERSALLY MEASURABLE HOMOMORPHISMS
Forum of Mathematics, Pi, 2019 Answering a longstanding problem originating in Christensen’s seminal work on Haar null sets [Math. Scand. 28 (1971), 124–128; Israel J. Math. 13 (1972), 255–260; Topology and Borel Structure.
CHRISTIAN ROSENDAL
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Baire reductions and good Borel reducibilities
, 2010 In reference [8] we have considered a wide class of "well-behaved" reducibilities for sets of reals. In this paper we continue with the study of Borel reducibilities by proving a dichotomy theorem for the degree-structures induced by good Borel ...
Ros, Luca Motto
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Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis +1 more
wiley +1 more source
Multifractal Analysis of Unstable Polynomial Entropies in Partially Hyperbolic Systems
Fractal and FractionalWe investigate the multifractal structure of unstable local polynomial entropies for arbitrary Borel probability measures in partially hyperbolic dynamical systems.
Yangmei Mu, Lei Liu
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Assessing habitat suitability for black grouse broods at the bioregional scale
Wildlife Biology, EarlyView.The black grouse Lyrurus tetrix, a galliform species emblematic of the European Alps, is currently threatened by habitat change, particularly given the closure of heathland linked to the rising tree line at higher altitudes. The presence of heathlands in good ecological condition is, however, imperative for the species' reproduction.
Alexandre T. M. Defossez +6 more
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How can we recognize potentially ${\bf\Pi}^0_\xi$ subsets of the plane?
, 2009 Let $\xi\geq 1$ be a countable ordinal. We study the Borel subsets of the plane that can be made ${\bf\Pi}^0_\xi$ by refining the Polish topology on the real line. These sets are called potentially ${\bf\Pi}^0_\xi$.
Lecomte, Dominique
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American Journal of Political Science, EarlyView.Abstract Alliances are typically understood as agreements intended to deter aggression from enemy states. By signaling an ally's commitment to a protégé state, a shared enemy may be deterred from attacking. In light of this signaling logic, secret alliances are puzzling.
Peter Bils, Bradley C. Smith
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A class of ideals in intermediate rings of continuous functions
Applied General Topology, 2019 For any completely regular Hausdorff topological space X, an intermediate ring A(X) of continuous functions stands for any ring lying between C∗(X) and C(X).
Sagarmoy Bag +2 more
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