3 papers
math.MG2024
On Extremal Problems Associated with Random Chords on a Circle
Cynthia Bortolotto, João P. G. Ramos
Inspired by the work of Karamata, we consider an extremization problem associated with the probability of intersecting two random chords inside a circle of radius $r, \, r \in (0,1…
math.CA2023
Sharp Gaussian decay for the one-dimensional harmonic oscillator
Danylo Radchenko, João P. G. Ramos
We prove a conjecture by Vemuri by proving sharp bounds on sums of Hermite functions multiplied by an exponentially decaying factor. More explicitly, we prove that, for ea…
math.AP2023
A Faber-Krahn type inequality for log-subharmonic functions in the hyperbolic ball
David Kalaj, João P. G. Ramos
Assume that is the hyperbolic Laplacian in the unit ball and assume that is the unique radial solution of Poisson equation satis…