Results 11 to 20 of about 737 (51)

Self-adjoint and Markovian extensions of infinite quantum graphs. [PDF]

J Lond Math Soc, 2022
Abstract We investigate the relationship between one of the classical notions of boundaries for infinite graphs, graph ends, and self‐adjoint extensions of the minimal Kirchhoff Laplacian on a metric graph. We introduce the notion of finite volume for ends of a metric graph and show that finite volume graph ends is the proper notion of a boundary for ...
Kostenko A, Mugnolo D, Nicolussi N.
europepmc   +2 more sources

A population model-based linear-quadratic Gaussian compensator for the control of intravenously infused alcohol studies and withdrawal symptom prophylaxis using transdermal sensing. [PDF]

Optim Control Appl Methods
Abstract An output feedback linear‐quadratic Gaussian compensator (combined controller and state estimator) for the regulation of intravenous‐infused alcohol studies and treatment using a noninvasive transdermal alcohol biosensor is developed. The design is based on a population model involving an abstract semilinear parabolic hybrid reaction‐diffusion
Yao M, Luczak SE, Saldich EB, Rosen IG.
europepmc   +2 more sources

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
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

An abstract setting for differential Riccati equations in optimal control problems for hyperbolic/Petrowski‐type P.D.E.′s with boundary control and slightly smoothing observation

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
wiley   +1 more source

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, Santosh S. Vempala, Matthew S. Zhang   +2 more
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source