3 papers
math.SP2026
Szegö limit theorem and Heisenberg Laplacian
Jiyu Fan, Ari Laptev
The aim of this paper is to obtain a version of the classical Szegö limit theorem, where instead of the operator of second derivative on a circle we consider the Heisenberg-Hörma…
math.AP2026
Time dependent Schrödinger equation for harmonic oscillator in the Aharonov-Bohm magnetic field
Jiyu Fan, Ari Laptev
We construct an approximation of the kernel of the solution of the time dependent Schrödinger equation whose Hamiltonian is a 2D harmonic oscillator in Aharonov-Bohm magnetic fiel…
math.AT2025
Generalized Persistent Laplacians and their Spectral Properties
Arne Wolf, Jiyu Fan, Anthea Monod
Laplacian operators are classical objects that are fundamental in both pure and applied mathematics and are becoming increasingly prominent in modern computational and data science…