3 papers
math.CA2024
Bounded Power Series on the Real Line
Davide Sclosa
We investigate power series that converge to a bounded function on the real line. First, we establish relations between coefficients of a power series and boundedness of the result…
math.GR2022
Algebraic Groups over Finite Fields: Connections Between Subgroups and Isogenies
Davide Sclosa
Let G be a linear algebraic group defined over a finite field F_q. We present several connections between the isogenies of G and the finite groups of rational points G(F_q^n). We s…
math.DS2022
Kuramoto Networks with Infinitely Many Stable Equilibria
Davide Sclosa
We prove that the Kuramoto model on a graph can contain infinitely many non-equivalent stable equilibria. More precisely, we prove that for every positive integer d there is a conn…