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» Topological Analysis of Refinement
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175
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COMPGEOM
2005
ACM
15 years 6 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
DMCS
2003
15 years 5 months ago
A symbolic projection of Langton's Ant
d Abstract) Anah´ı Gajardo† GI2MA, Departamento de Ingenier´ıa Matem´atica, Universidad de Concepci´on, Casilla 160-C, correo 3, Concepci´on, Chile The Langton’s ant is ...
Anahí Gajardo
210
Voted
GMP
2010
IEEE
354views Solid Modeling» more  GMP 2010»
15 years 4 months ago
Automatic Generation of Riemann Surface Meshes
Abstract. Riemann surfaces naturally appear in the analysis of complex functions that are branched over the complex plane. However, they usually possess a complicated topology and ...
Matthias Nieser, Konstantin Poelke, Konrad Polthie...
152
Voted
AUTOMATICA
2008
86views more  AUTOMATICA 2008»
15 years 4 months ago
Notes on averaging over acyclic digraphs and discrete coverage control
In this paper we study averaging algorithms and coverage control laws in a unified light. First, we characterize the convergence properties of averaging algorithms over acyclic di...
Chunkai Gao, Jorge Cortés, Francesco Bullo
IJON
2007
99views more  IJON 2007»
15 years 4 months ago
Criticality of avalanche dynamics in adaptive recurrent networks
In many studies of self-organized criticality (SOC), branching processes were used to model the dynamics of the activity of the system during avalanches. This mathematical simpliï...
Anna Levina, Udo Ernst, J. Michael Herrmann