Results 11 to 20 of about 469,615 (274)
A Distributed Combinatorial Topology Approach to Arrow's Impossibility Theorem
ACM SIGACT-SIGOPS Symposium on Principles of Distributed Computing, 2022 Baryshnikov presented a remarkable algebraic topology proof of Arrow's impossibility theorem trying to understand the underlying reason behind the numerous proofs of this fundamental result of social choice theory.
S. Rajsbaum, A. Raventós-Pujol
semanticscholar +1 more source
Construction of hybrid 1D‐0D networks for efficient and accurate blood flow simulations
International Journal for Numerical Methods in Fluids, Volume 95, Issue 2, Page 262-312, February 2023., 2023 A set of coupling equations to appropriately couple nonlinear 1D and lumped‐parameter (0D) models for blood flow in compliant vessels is defined. Then, a methodology for the high‐order numerical coupling between 1D and 0D vessels through hybrid junctions is proposed.
Beatrice Ghitti +3 more
wiley +1 more source
Algebraic Groups (hybrid meeting) [PDF]
, 2021 Linear algebraic groups is an active research area in contempo- rary mathematics. It has rich connections to algebraic geometry, representa- tion theory, algebraic combinatorics, number theory, algebraic topology, and differential equations.
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Surface Bundles in Topology, Algebraic Geometry, and Group Theory
, 2020 Surface Bundles A surface is one of the most basic objects in topology, but themathematics of surfaces spills out far beyond its source, penetrating deeply into fields as diverse as algebraic geometry, complex analysis, dynamics, hyperbolic geometry ...
Nick Salter, Bena Tshishiku
semanticscholar +1 more source
Mathematical Methods in the Applied Sciences, EarlyView., 2022 This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ...
Qiaoping Li, Chao Yue
wiley +1 more source
International Journal for Numerical and Analytical Methods in Geomechanics, Volume 47, Issue 2, Page 145-186, 10 February 2023., 2023 Abstract A two‐phase velocity‐pressure stabilized formulation is proposed for the numerical analysis of mechanized excavations in partially saturated soft soils using the Particle Finite Element Method (PFEM). The fully coupled formulation is based on the theory of porous media in association with the Soil Water Characteristic Curve and the porosity ...
Abdiel Ramon Leon Bal, Günther Meschke
wiley +1 more source
, 2015 This workshop was a forum to present and discuss the latest results and ideas in algebraic topology and homotopy theory, with a special emphasis on connections to other branches of mathematics, such as algebraic geometry, representation theory, group ...
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Topological Expansion, Study and Applications [PDF]
Topology and its Applications, 160, p 2121-2139 , (2013), 2012 In this paper, we introduce the notion of expanding topological space. We define the topological expansion of a topological space via local multi-homeomorphism over coproduct topology, and we prove that the coproduct family associated to any fractal family of topological spaces is expanding.
arxiv +1 more source
, 2016 Singularity theory is a central part of contemporary mathematics. It is concerned with the local and global structure of maps and spaces that occur in algebraic, analytic or differential geometric context.
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Nori Diagrams and Persistent Homology [PDF]
, 2020 Recently, it was found that there is a remarkable intuitive similarity between studies in theoretical computer science dealing with large data sets on the one hand, and categorical methods of topology and geometry in pure mathematics, on the other.
Manin, Yuri I., Marcolli, Matilde
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