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COMPGEOM
2005
ACM
15 years 1 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 14 days 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
GMP
2010
IEEE
354views Solid Modeling» more  GMP 2010»
14 years 11 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...
AUTOMATICA
2008
86views more  AUTOMATICA 2008»
14 years 11 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»
14 years 11 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