Zobrazeno 1 - 10
of 9 977
pro vyhledávání: '"Smale, A. P."'
Autor:
Bannwart, Clemens
Given a Morse-Smale vector field on a smooth manifold, Franks described how one can replace a closed orbit of index $k$ by two rest points of index $k+1$ and $k$, using a local perturbation. Combined with classical results about gradient-like vector
Externí odkaz:
http://arxiv.org/abs/2410.02363
We propose a multi-tier paradigm to preserve various components of Morse-Smale complexes in lossy compressed scalar fields, including extrema, saddles, separatrices, and persistence diagrams. Existing error-bounded lossy compressors rarely consider p
Externí odkaz:
http://arxiv.org/abs/2409.17346
The Morse-Smale complex is a standard tool in visual data analysis. The classic definition is based on a continuous view of the gradient of a scalar function where its zeros are the critical points. These points are connected via gradient curves and
Externí odkaz:
http://arxiv.org/abs/2409.05532
Autor:
Malizia, Francesco
We prove that Palais-Smale sequences for Liouville type functionals on closed surfaces are precompact whenever they satisfy a bound on their Morse index. As a byproduct, we obtain a new proof of existence of solutions for Liouville type mean-field eq
Externí odkaz:
http://arxiv.org/abs/2409.06515
A given self-map $f\colon M\to M$ of a compact manifold determines the sequence $\{L(f^n)\}_{n=1}^\infty$, of the Lefschetz numbers of its iterations. We consider its dual sequence $\{a_n(f)\}_{n=1}^\infty$ given by the M\"obius inversion formula. Th
Externí odkaz:
http://arxiv.org/abs/2408.12372
Autor:
Wang, Yuelin, Lin, Yiwen
In this work, we focus on the mean-field limit of the Random Batch Method (RBM) for the Cucker-Smale model. Different from the classical mean-field limit analysis, the chaos in this model is imposed at discrete time and is propagated to discrete time
Externí odkaz:
http://arxiv.org/abs/2407.21297
In particle systems, flocking refers to the phenomenon where particles' individual velocities eventually align. The Cucker-Smale model is a well-known mathematical framework that describes this behavior. Many continuous descriptions of the Cucker-Sma
Externí odkaz:
http://arxiv.org/abs/2407.18717
Distributed Path Compression for Piecewise Linear Morse-Smale Segmentations and Connected Components
This paper describes the adaptation of a well-scaling parallel algorithm for computing Morse-Smale segmentations based on path compression to a distributed computational setting. Additionally, we extend the algorithm to efficiently compute connected
Externí odkaz:
http://arxiv.org/abs/2409.03771
In this paper, we deal with first and second-order alignment models with non-universal interaction, time delay and possible lack of connection between the agents. More precisely, we analyze the situation in which the system's agents do not transmit i
Externí odkaz:
http://arxiv.org/abs/2407.06647
This research explores a novel paradigm for preserving topological segmentations in existing error-bounded lossy compressors. Today's lossy compressors rarely consider preserving topologies such as Morse-Smale complexes, and the discrepancies in topo
Externí odkaz:
http://arxiv.org/abs/2406.09423