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» Stability in geometric theories
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APAL
2005
87views more  APAL 2005»
13 years 4 months ago
Stability in geometric theories
The class of geometric surgical theories (which includes all o-minimal theories) is examined. The main theorem is that every stable theory that is interpretable in a geometric sur...
Jerry Gagelman
HYBRID
2000
Springer
13 years 8 months ago
Towards a Geometric Theory of Hybrid Systems
Given a deterministic, non-blocking hybrid system, we introduce the notion of its hybrid manifold (or hybrifold) with the associated hybrid ow on it. This enables us to study hyb...
Slobodan N. Simic, Karl Henrik Johansson, Shankar ...
FOCM
2010
160views more  FOCM 2010»
13 years 3 months ago
Boundary Measures for Geometric Inference
We study the boundary measures of compact subsets of the d-dimensional Euclidean space, which are closely related to Federer’s curvature measures. We show that they can be comput...
Frédéric Chazal, David Cohen-Steiner...
COMPGEOM
2005
ACM
13 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...
WSS
2001
131views Control Systems» more  WSS 2001»
13 years 6 months ago
The Theory of Weak Stabilization
We investigate a new property of computing systems called weak stabilization. Although this property is strictly weaker than the well-known property of stabilization, weak stabiliz...
Mohamed G. Gouda