Results 21 to 30 of about 1,149,485 (65)
Dold sequences, periodic points, and dynamics
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021 Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 44, Issue 12, Page 9641-9674, August 2021., 2021 The aim of this paper is to develop a layer potential theory in L2‐based weighted Sobolev spaces on Lipschitz bounded and exterior domains of ℝn, n ≥ 3, for the anisotropic Stokes system with L∞ viscosity tensor coefficient satisfying an ellipticity condition for symmetric matrices with zero matrix trace.
Mirela Kohr +2 more
wiley +1 more source
Ornstein-Uhlenbeck processes in Banach spaces and their spectral representations. [PDF]
, 2002 For Q the variance of some centred Gaussian random vector in a separable Banach space it is shown that, necessarily, Q factors through $\ell^2$ as a product of 2-summing operators.
Groves, James S.
core +5 more sources
Some remarks on James-Schreier spaces. [PDF]
, 2010 The James-Schreier spaces V_p, where p is a real number greater than or equal to 1, were recently introduced by Bird and Laustsen as an amalgamation of James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a ...
Laustsen, Niels Jakob +2 more
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Tropical Lagrangian hypersurfaces are unobstructed
Journal of Topology, Volume 13, Issue 4, Page 1409-1454, December 2020., 2020 Abstract We produce for each tropical hypersurface V(ϕ)⊂Q=Rn a Lagrangian L(ϕ)⊂(C∗)n whose moment map projection is a tropical amoeba of V(ϕ). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.
Jeffrey Hicks
wiley +1 more source
Jacobian Nonsingularity in Nonlinear Symmetric Conic Programming Problems and Its Application
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 This paper considers the nonlinear symmetric conic programming (NSCP) problems. Firstly, a type of strong sufficient optimality condition for NSCP problems in terms of a linear‐quadratic term is introduced. Then, a sufficient condition of the nonsingularity of Clarke’s generalized Jacobian of the Karush–Kuhn–Tucker (KKT) system is demonstrated. At last,
Yun Wang, Dezhou Kong, Xinguang Zhang
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Numerical Linear Algebra with Applications, Volume 32, Issue 4, August 2025.ABSTRACT We propose an algorithm to solve optimization problems constrained by ordinary or partial differential equations under uncertainty, with additional almost sure inequality constraints on the state variable. To alleviate the computational burden of high‐dimensional random variables, we approximate all random fields by the tensor‐train (TT ...
Harbir Antil +2 more
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On an Erdős similarity problem in the large
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1801-1818, June 2025.Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao +2 more
wiley +1 more source
ℓp$\ell ^p$ metrics on cell complexes
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Motivated by the observation that groups can be effectively studied using metric spaces modelled on ℓ1$\ell ^1$, ℓ2$\ell ^2$ and ℓ∞$\ell ^\infty$ geometry, we consider cell complexes equipped with an ℓp$\ell ^p$ metric for arbitrary p$p$. Under weak conditions that can be checked locally, we establish non‐positive curvature properties of these
Thomas Haettel, Nima Hoda, Harry Petyt
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Error estimates for completely discrete FEM in energy‐type and weaker norms
Numerical Methods for Partial Differential Equations, Volume 40, Issue 6, November 2024.Abstract The paper presents error estimates within a unified abstract framework for the analysis of FEM for boundary value problems with linear diffusion‐convection‐reaction equations and boundary conditions of mixed type. Since neither conformity nor consistency properties are assumed, the method is called completely discrete.
Lutz Angermann +2 more
wiley +1 more source