A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Kernel Dynamic Mode Decomposition reconstructs dynamical systems using Laplacian kernel.
The paper deals with the possibly degenerate behaviour of the exterior derivative operator defined on -forms on metric measure spaces. The main examples we consider are the non self-similar Sierpinski carpets recently introduced by Mackay, Tyson and Wildrick. Although topologically one-dimensional, they may have pos…
The aim of this work is to link the quasiconformal geometry of a Euclidean domain to the spectral properties of its Dirichlet integral $\D$, through the algebra of multipliers $\M(H^{1,2}(U))$ of the Sobolev space. In the main result we prove that a homeomorphism between Euclidean domains, giving rise …