Pierre Germain

activity

20232026

collaborators

3 papers

math.PR2026

Selection principles for quasi-stationary distributions and reinforcement processes

Michel Benaïm, Tresnia Berah, Pierre Germain

Let $P$ be a sub-Markov matrix on a finite set $S$ , representing the transition probabilities of a Markov chain on $S$ absorbed at a cemetery point $\partial \in / S$ . We conside…

math.AP2025

Bounds for spectral projectors on the three-dimensional torus

Pierre Germain, Simon L. Rydin Myerson, Daniel Pezzi

We study $L^{2}$ to $L^{p}$ operator norms of spectral projectors for the Euclidean Laplacian on the torus in the case where the spectral window is narrow. With a window of constant si…

math.CA2023

$L^{2}$ to $L^{p}$ bounds for spectral projectors on the Euclidean two-dimensional torus

Ciprian Demeter, Pierre Germain

We consider spectral projectors associated to the Euclidean Laplacian on the two-dimensional torus, in the case where the spectral window is narrow. Bounds for their L2 to Lp opera…

Selection principles for quasi-stationary distributions and reinforcement processes

Bounds for spectral projectors on the three-dimensional torus

L2 to Lp bounds for spectral projectors on the Euclidean two-dimensional torus

$L^{2}$ to $L^{p}$ bounds for spectral projectors on the Euclidean two-dimensional torus