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17 papers · 1 filter
A formula for Popp's volume in sub-Riemannian geometry
Davide Barilari, Luca Rizzi
For an equiregular sub-Riemannian manifold M, Popp's volume is a smooth volume which is canonically associated with the sub-Riemannian structure, and it is a natural generalization…
Small time heat kernel asymptotics at the cut locus on surfaces of revolution
Davide Barilari, Jacek Jendrej
In this paper we investigate the small time heat kernel asymptotics on the cut locus on a class of surfaces of revolution, which are the simplest 2-dimensional Riemannian manifolds…
Faddeev eigenfunctions for multipoint potentials
P. G. Grinevich, R. G. Novikov
We present explicit formulas for the Faddeev eigenfunctions and related generalized scattering data for multipoint potentials in two and three dimensions. For single point potentia…
Singular Forward-Backward Stochastic Differential Equations and Emissions Derivatives
Rene Carmona, Francois Delarue, Gilles-Edouard Espinosa +1
We introduce two simple models of forward-backward stochastic differential equations with a singular terminal condition and we explain how and why they appear naturally as models f…
Hierarchical clustering for graph visualization
Stéphan Clémençon, Hector De Arazoza, Fabrice Rossi +1
This paper describes a graph visualization methodology based on hierarchical maximal modularity clustering, with interactive and significant coarsening and refining possibilities.…
New approaches of source-sink metapopulations decoupling the roles of demography and dispersal
Vincent Bansaye, Amaury Lambert
Source-sink systems are metapopulations of habitat patches with different, and possibly temporally varying, habitat qualities, which are commonly used in ecology to study the fate…