3 papers
math.AT2026
Topological shape transform for thymus structures
Haochen Yang, Vadim Lebovici, Andreas Tarcevski +6
The Euler characteristic transform (ECT) is an emerging and powerful framework within topological data analysis for quantifying the geometry of shape. The applicability of ECT has…
math.DG2026
Operations on constructible functions and generalized valuations
Andreas Bernig, Vadim Lebovici
Alesker's theory of generalized valuations unifies smooth measures and constructible functions on real analytic manifolds, extending classical operations on functions and measures.…
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…