4 papers
Positive Measure of Unions of Variable Surfaces
Alex Iosevich, Zhangze Li, Krystal Taylor
Let , , be compact, and let be a smooth function satisfying the Phong--Stein rotational curvature condition on . We prove tha…
PDE propagation, sampling, and the Fourier ratio
A. Iosevich, J. Iosevich, E. Palsson +1
We study recovery from incomplete random spatial samples for discretized fields arising as fixed-time snapshots of partial differential equations. The organizing parameter is the F…
A Refinement of Vapnik--Chervonenkis' Theorem
A. Iosevich, A. Vagharshakyan, E. Wyman
Vapnik--Chervonenkis' theorem is a seminal result in machine learning. It establishes sufficient conditions for empirical probabilities to converge to theoretical probabilities, un…
Geometric incidence theorems via Fourier analysis
A. Iosevich, H. Jorati, I. Laba
We prove that non-trivial bounds for generalized Radon transforms imply correspondingly non-trivial discrete incidence theorems for manifolds and suitably regular point sets.