3 citations · 5 across the 16 of their papers we have counts for
20 papers
Density of large holes among power-free lattice points
Francesco Cellarosi
For fixed integers with , the -free points of are those whose coordinate gcd is not divisible by the th power of any prime. Fix $1\le q\le \i…
Intrinsic ergodicity for -free integers in number fields
Francesco Cellarosi
Let be a number field with ring of integers , and let be an Erdős family of ideals in . We prove that the associated …
Continuous dependence results for quasilinear evolution equations
Francesco Cellarosi, Anirban Dutta, Giusy Mazzone
We study continuous dependence of solutions to quasilinear evolution equations of parabolic-type in the framework of maximal -regularity. For equations of the form \[ \frac{dϕ…
Asymptotic stability of solutions to semilinear evolution equations in Banach spaces
Francesco Cellarosi, Anirban Dutta, Giusy Mazzone
We prove a new linearization principle for the nonlinear stability of solutions to semilinear evolution equations of parabolic type. We assume that the set of equilibria forms a fi…
Stochastic Calculus for the Theta Process
Francesco Cellarosi, Zachary Selk
The theta process is a stochastic process of number theoretical origin arising as a scaling limit of quadratic Weyl sums. It can be described in terms of the geodesic flow and an a…
Bounds for Smooth Theta Sums with Rational Parameters
Francesco Cellarosi, Tariq Osman
We provide an explicit family of pairs such that for sufficiently regular , there is a constant for which the theta sum bound…