4 papers
math-ph2026
Distribution of points on the real line under a class of repulsive potentials
Roni Edwin
In a 1979 paper, Ventevogel and Nijboer showed that classical point particles interacting via the pair potential are not equally spaced in their gro…
math.PR2025
Cà dlà g modifications of Markov Processes
Roni Edwin
Here we give a proof of the existence of cà dlà g modification of Markov Processes (on an appropriate space) with Feller semigroup.
math.CA2025
Fourier inequalities and sign uncertainty
Roni Edwin
Motivated by inequalities in Fourier analysis, we present an improvement on the lower bound for the sign uncertainty principle of Bourgain, Clozel and Kahane in high dimensions. Ad…
math-ph2024
The Gauss Circle Problem and Fourier Quasicrystals
Roni A. Edwin, Allen Lin
The Gauss circle problem asks for an approximation to the number of lattice points of contained in , the disk of radius centered at the origin. Upper, lower…