Results 71 to 80 of about 27,859 (206)
Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Simple homotopy theory for Fukaya categories
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley +1 more source
Invariant manifolds as pullback attractors of nonautonomous differential equations
Discrete and Continuous Dynamical Systems, 2005 We discuss the relationship between invariant manifolds of nonautonomous differential equations and pullback attractors. This relationship is essential, e.g., for the numerical approximation of these manifolds. In the first step, we show that the unstable manifold is the pullback attractor of the differential equation.
Aulbach, Bernd +2 more
openaire +2 more sources
Modeling Perforator Occlusion After Flow Diversion
International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 8, August 2026.Fibrin accumulation occurred in all jailed branches, matching the results of the animal experiments. Similarly, we show the trend of jailed branches having more fibrin accumulation the more distal they are, matching the greater area of occlusion seen in vivo for successively distal fully jailed branches.
Laurel Marsh +8 more
wiley +1 more source
Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space
Discrete Dynamics in Nature and Society, 2020 In this paper, we focus on the asymptotic behavior of solutions to stochastic delay lattice equations with additive noise and deterministic forcing. We first show the existence of a continuous random dynamical system for the equations.
Yijin Zhang, Zongbing Lin
doaj +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Bi-space pullback attractors for closed processes
, 2012 nuloIn the description of the long-time behavior of solutions to nonautonomous differential equations the notion of a pullback attractor plays a similar role as the global attractor in autonomous dynamical systems. We present the theorem on the existence
Czaja, Radoslaw
core +1 more source
Pullback attractors for asymptotically compact non-autonomous dynamical systems [PDF]
, 2006 First, we introduce the concept of pullback asymptotically compact non-autonomous dynamical system as an extension of the similar concept in the autonomous framework.
Caraballo Garrido, Tomás +2 more
core +1 more source
Electronic Journal of Differential Equations, 2016 In this article, we prove the existence of pullback attractor in $C([-h,0];H^1(\mathbb{R}^N))$ for a stochastic nonclassical diffusion equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms, and the pullback ...
Fang-Hong Zhang, Wei Han
doaj