Results 11 to 20 of about 41 (36)
Automorphism invariant measures and weakly generic automorphisms
Mathematical Logic Quarterly, Volume 68, Issue 4, Page 458-478, November 2022., 2022 Abstract Let A$\mathcal {A}$ be a countable ℵ0‐homogeneous structure. The primary motivation of this work is to study different amenability properties of (subgroups of) the automorphism group Aut(A)$\operatorname{Aut}(\mathcal {A})$ of A$\mathcal {A}$; the secondary motivation is to study the existence of weakly generic automorphisms of A$\mathcal {A}$.
Gábor Sági
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Katsura–Exel–Pardo groupoids and the AH conjecture
Journal of the London Mathematical Society, Volume 104, Issue 5, Page 2240-2259, December 2021., 2021 Abstract It is proven that Matui's AH conjecture is true for Katsura–Exel–Pardo groupoids GA,B associated to integral matrices A and B. This conjecture relates the topological full group of an ample groupoid with the homology groups of the groupoid. We also give a criterion under which the topological full group [[GA,B]] is finitely generated.
Petter Nyland, Eduard Ortega
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On the extreme non‐Arens regularity of Banach algebras
Journal of the London Mathematical Society, Volume 104, Issue 4, Page 1840-1860, November 2021., 2021 Abstract As is well‐known, on an Arens regular Banach algebra all continuous functionals are weakly almost periodic. In this paper, we show that ℓ1‐bases which approximate upper and lower triangles of products of elements in the algebra produce large sets of functionals that are not weakly almost periodic.
Mahmoud Filali, Jorge Galindo
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Haar null and Haar meager sets: a survey and new results
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 561-619, August 2020., 2020 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
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Abstract and Applied Analysis, Volume 1, Issue 4, Page 435-484, 1996., 1996 We study, by the variational method, the Differential Riccati Equation which arises in the theory of quadratic optimal control problems for ‘abstract hyperbolic’ equations (which encompass hyperbolic and Petrowski‐type partial differential equations (P.D.E.) with boundary control).
R. Triggiani
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In‐and‐Out: Algorithmic Diffusion for Sampling Convex Bodies
Random Structures &Algorithms, Volume 68, Issue 3, May 2026.ABSTRACT We present a new random walk for uniformly sampling high‐dimensional convex bodies. It achieves state‐of‐the‐art runtime complexity with stronger guarantees on the output than previously known, namely in Rényi divergence (which implies TV, 𝒲2, KL, χ2$$ {\chi}^2 $$).
Yunbum Kook +2 more
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Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, Volume 5, Issue 2, February 2026.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
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Trotterless Simulation of Open Quantum Systems for NISQ Quantum Devices
Advanced Quantum Technologies, Volume 8, Issue 1, January 2025.Open quantum systems exhibit complex dynamics that can be simulated on quantum computers to provide physical insights into their behavior. This work proposes a new method for simulating these systems that reduces the effect of noise and errors on modern quantum hardware.
Colin Burdine, Enrique P. Blair
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Substitutions and their Generalisations
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract Tilings and point sets arising from substitutions are classical mathematical models of quasicrystals. Their hierarchical structure allows one to obtain concrete answers regarding spectral questions tied to the underlying measures and potentials.
Neil Mañibo
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Local limits in p$p$‐adic random matrix theory
Proceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.Abstract We study the distribution of singular numbers of products of certain classes of p$p$‐adic random matrices, as both the matrix size and number of products go to ∞$\infty$ simultaneously. In this limit, we prove convergence of the local statistics to a new random point configuration on Z$\mathbb {Z}$, defined explicitly in terms of certain ...
Roger Van Peski
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