3 papers
math.ST2025
On empirical Hodge Laplacians under the manifold hypothesis
Jan-Paul Lerch, Martin Wahl, Petr Zamolodtchikov
Given i.i.d. observations uniformly distributed on a closed submanifold of the Euclidean space, we study higher-order generalizations of graph Laplacians, so-called Hodge Laplacian…
math.RT2024
Local characterization of block-decomposability for multiparameter persistence modules
Vadim Lebovici, Jan-Paul Lerch, Steve Oudot
Local conditions for the direct summands of a persistence module to belong to a certain class of indecomposables have been proposed in the 2-parameter setting, notably for the clas…
math.RT2024
A generalised block decomposition theorem
Jan-Paul Lerch
We discuss a class of linear representations of the product poset of totally ordered sets which decompose into interval representations for block…