Results 31 to 40 of about 52,931 (113)
Jensen's inequality for partial traces in von Neumann algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 4, -Not available-.Abstract Motivated by a recent result on finite‐dimensional Hilbert spaces, we prove Jensen's inequality for partial traces in semifinite von Neumann algebras. We also prove a similar inequality in the framework of general (non‐tracial) von Neumann algebras.
Mizanur Rahaman, Lyudmila Turowska
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Polyfolds: A First and Second Look
, 2016 Polyfold theory was developed by Hofer-Wysocki-Zehnder by finding commonalities in the analytic framework for a variety of geometric elliptic PDEs, in particular moduli spaces of pseudoholomorphic curves.
Fabert, Oliver +3 more
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Duality for Evolutionary Equations With Applications to Null Controllability
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4144-4166, 30 March 2026.ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
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Fredholm notions in scale calculus and Hamiltonian Floer theory [PDF]
, 2016 We give an equivalent definition of the Fredholm property for linear operators on scale Banach spaces and introduce a (nonlinear) scale Fredholm property with respect to a splitting of the domain.
Wehrheim, Katrin
core
On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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Entropies from coarse-graining: convex polytopes vs. ellipsoids
, 2015 We examine the Boltzmann/Gibbs/Shannon $\mathcal{S}_{BGS}$ and the non-additive Havrda-Charv\'{a}t / Dar\'{o}czy/Cressie-Read/Tsallis \ $\mathcal{S}_q$ \ and the Kaniadakis $\kappa$-entropy \ $\mathcal{S}_\kappa$ \ from the viewpoint of coarse-graining ...
Kalogeropoulos, Nikos
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Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
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Variational Modeling of Porosity Waves
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT Mathematical models for finite‐strain poroelasticity in an Eulerian formulation are studied by constructing their energy‐variational structure, which gives rise to a class of saddle‐point problems. This problem is discretized using an incremental time‐stepping scheme and a mixed finite element approach, resulting in a monolithic, structure ...
Andrea Zafferi, Dirk Peschka
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, 1999 In this paper the theory of evolution semigroups is developed and used to provide a framework to study the stability of general linear control systems.
Clark, Stephen +3 more
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT Regularity properties of solutions for a class of quasi‐stationary models in one spatial dimension for stress‐modulated growth in the presence of a nutrient field are proven. At a given point in time the configuration of a body after pure growth is determined by means of a family of ordinary differential equations in every point in space ...
Julian Blawid, Georg Dolzmann
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