Results 71 to 80 of about 2,072,232 (247)
Metric characterizations of upper semicontinuity
Journal of Mathematical Analysis and Applications, 1979 AbstractWe characterize upper semicontinuity of multifunctions in terms of upper Hausdorff semicontinuity, measure of non compactness and active boundary. The results are applicable in optimization, theory of best approximation and in metrizability theory.
Dolecki, Szymon, Rolewicz, Stefan
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Theoretical Economics, Volume 21, Issue 1, Page 71-98, January 2026.In the classical Bayesian persuasion model, an informed player and an uninformed one engage in a static interaction. This work extends this classical model to a dynamic setting where the state of nature evolves according to a Markovian law, allowing for a more realistic representation of real‐world situations where the state of nature evolves over time.
Ehud Lehrer, Dimitry Shaiderman
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Lemonade from lemons: Information design and adverse selection
Theoretical Economics, Volume 21, Issue 1, Page 281-324, January 2026.A seller posts a price for a single object. The seller's and buyer's values may be interdependent. We characterize the set of payoff vectors across all information structures. Simple feasibility and individual‐rationality constraints identify the payoff set.
Navin Kartik, Weijie Zhong
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Quasi-stability and continuity of attractors for nonlinear system of wave equations
Nonautonomous Dynamical Systems, 2021 In this paper, we study the long-time behavior of a nonlinear coupled system of wave equations with damping terms and subjected to small perturbations of autonomous external forces.
Freitas M. M. +4 more
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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
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On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators
Zeitschrift für Analysis und ihre Anwendungen, 1994 Sufficient conditions of lower semicontinuity and metric upper semicontinuity of Nemytskii set-valued operators N_F generated by a set-valued function F: \Omega \times X \to 2^Y
Rolewicz, S., Wen, Song
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A note on Laplacian bounds, deformation properties, and isoperimetric sets in metric measure spaces
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract In the setting of length PI spaces satisfying a suitable deformation property, it is known that each isoperimetric set has an open representative. In this paper, we construct an example of a length PI space (without the deformation property) where an isoperimetric set does not have any representative whose topological interior is nonempty ...
Enrico Pasqualetto, Tapio Rajala
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Study of ODE limit problems for reaction-diffusion equations [PDF]
Opuscula Mathematica, 2018 In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we study the sensitivity of nonlinear ODEs with respect to initial conditions and exponent parameters.
Jacson Simsen +2 more
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Upper Semicontinuous Collections of Continua in Class W [PDF]
Proceedings of the American Mathematical Society, 1983 A continuum is proven to be in Class W W if it can be decomposed into an upper semicontinuous collection of C C -sets, each of which is contained in Class W W , and if the upper semicontinuous decomposition space thus formed is in Class W W .
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Theoretical Economics, Volume 20, Issue 4, Page 1323-1365, November 2025.How best to incentivize prompt disclosure? We study this question in a general model in which a technological breakthrough occurs at an uncertain time and is privately observed by an agent, and a principal must incentivize disclosure via her control of a payoff‐relevant physical allocation.
Gregorio Curello, Ludvig Sinander
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