Hugo Panzo

collaborators

2 papers

math.PR2025

A refinement of the Sylvester problem: Probabilities of combinatorial types

Zakhar Kabluchko, Hugo Panzo

Let $X_{1}, \dots, X_{d + 2}$ be random points in $R^{d}$ . The classical Sylvester problem asks to determine the probability that the convex hull of these points, denoted by $P:=…

math.PR2024

Sylvester's problem for random walks and bridges

Hugo Panzo

Consider a random walk in $R^{d}$ that starts at the origin and whose increment distribution assigns zero probability to any affine hyperplane. We solve Sylvester's problem…