16 citations · 34 across the 9 of their papers we have counts for
11 papers
Exploring Singularities in point clouds with the graph Laplacian: An explicit approach
Martin Andersson, Benny Avelin
We develop theory and methods that use the graph Laplacian to analyze the geometry of the underlying manifold of datasets. Our theory provides theoretical guarantees and explicit b…
Non-uniformly hyperbolic endomorphisms
Martin Andersson, Pablo D. Carrasco, Radu Saghin
We show the existence of large open sets of area preserving endomorphisms of the two-torus which have no dominated splitting and are non-uniformly hyperbolic, meanin…
Historic behaviour vs. physical measures for irrational flows with multiple stopping points
Martin Andersson, Pierre-Antoine Guihéneuf
We study Birkhoff averages along trajectories of smooth reparameterizations of irrational linear flows of the two torus with two stopping points, say and , o…
Statistical stability of mostly expanding diffeomorphisms
Martin Andersson, Carlos H. Vásquez
We study how physical measures vary with the underlying dynamics in the open class of , , strong partially hyperbolic diffeomorphisms for which the central Lyapunov expon…
Transitivity of codimension one non-invertible conservative skew-products
Martin Andersson, Javier Correa
In this work we explore the problem of transitivity of volume-preserving skew-products endomorphisms of the n-torus. More specifically, we establish relationships between transitiv…
On mostly expanding diffeomorphisms
Martin Andersson, Carlos H. Vásquez
In this work we study the class of mostly expanding partially hyperbolic diffeomorphisms. We prove that such class is -open, , among the partially hyperbolic diffeomorphi…