3 papers
math.DS2025
Absolutely partially hyperbolic surface endomorphisms are dynamically coherent
M. Andersson, W. Ranter
We show that if an endomorphism is absolutely partially hyperbolic, then it has a center foliation. Moreover, the center foliation is leaf conjuga…
math.ST2025
Concentration bounds for intrinsic dimension estimation using Gaussian kernels
Martin Andersson
We prove finite-sample concentration and anti-concentration bounds for dimension estimation using Gaussian kernel sums. Our bounds provide explicit dependence on sample size, bandw…
math.DS2023
Partially hyperbolic endomorphisms with expanding linear part
M. Andersson, W. Ranter
In this paper we study transitivity of partially hyperbolic endomorphisms of the two torus whose action in the first homology has two integer eigenvalues of moduli greater than one…