Results 61 to 70 of about 6,556,269 (259)
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley +1 more source
Two models for the homotopy theory of ∞ ‐operads [PDF]
Journal of Topology, 2016 We compare two models for ∞ ‐operads: the complete Segal operads of Barwick and the complete dendroidal Segal spaces of Cisinski and Moerdijk. Combining this with comparison results already in the literature, this implies that all known models for ...
Hongyi Chu, R. Haugseng, Gijs Heuts
semanticscholar +1 more source
COARSE VERSION OF HOMOTOPY THEORY (AXIOMATIC STRUCTURE) [PDF]
, 2013 In topology, homotopy theory can be put into an algebraic framework. The most complete such framework is that of a Quillen model Category [[15], [5]]. The usual class of coarse spaces appears to be too small to be a Quillen model category.
Mohamad, Nadia
core
Embedding Optimization of Layouts via Distortion Minimization
Computer Graphics Forum, EarlyView.Abstract Given an embedding of a layout in the surface of a target mesh, we consider the problem of optimizing the embedding geometrically. Layout embeddings partition the surface into multiple disk‐like patches, making them particularly useful for parametrization and remeshing tasks, such as quad‐remeshing, since these problems can then be solved on ...
A. Heuschling, I. Lim, L. Kobbelt
wiley +1 more source
On homotopy of walks and spherical maps in homotopy type theory [PDF]
Proceedings of the 11th ACM SIGPLAN International Conference on Certified Programs and Proofs, 2022 We work with combinatorial maps to represent graph embeddings into surfaces up to isotopy. The surface in which the graph is embedded is left implicit in this approach. The constructions herein are proof-relevant and stated with a subset of the language of homotopy type theory. This article presents a refinement of one characterisation of embeddings in
openaire +2 more sources
Operads and Γ-homology of commutative rings [PDF]
, 2002 We introduce Γ-homology, the natural homology theory for E[infty infinity]-algebras, and a cyclic version of it. Γ-homology specializes to a new homology theory for discrete commutative rings, very different in general from André–Quillen homology.
Robinson, Alan (C. Alan) +1 more
core +1 more source
On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
wiley +1 more source
Novel Homotopy Theory for Nonlinear Networks and Systems and Its Applications to Electrical Grids
IEEE Transactions on Control of Network Systems, 2018 Homotopy methods have several useful applications in biology, economics, nonlinear circuit design, and electric power networks, among others. A novel homotopy theory and a convergence theorem are presented in this paper for general-purpose homotopy ...
H. Chiang, Tao Wang
semanticscholar +1 more source
Localization in Homotopy Type Theory [PDF]
Higher Structures, 2018 We study localization at a prime in homotopy type theory, using self maps of the circle. Our main result is that for a pointed, simply connected type $X$, the natural map $X \to X_{(p)}$ induces algebraic localizations on all homotopy groups. In order to
D. Christensen +3 more
semanticscholar +1 more source
Israel Journal of Mathematics, 2008 We give a homotopy theoretic characterization of stacks on a site $\cC$ as the {\it homotopy sheaves} of groupoids on $\cC$. We use this characterization to construct a model category in which stacks are the fibrant objects. We compare different definitions of stacks and show that they lead to Quillen equivalent model categories.
openaire +3 more sources