3 papers
math.PR2026
A positive formula for volumes of moduli spaces of flat unitary connections on compact surfaces
Quentin François, David GarcÃa-Zelada, Thierry Lévy +1
We provide a manifestly positive expression for the volume of the moduli spaces of flat -valued connections on punctured compact oriented surfaces. This volume is ob…
math.PR2025
Universality of cutoff for independent random walks on the circle conditioned not to intersect
Anna Ben-Hamou, Pierre Tarrago
In the present paper, we consider a class of Markov processes on the discrete circle which has been introduced by König, O'Connell and Roch. These processes describe movements of…
math.CO2025
Basics on positively multiplicative graphs and algebras
Jérémie Guilhot, Cédric Lecouvey, Pierre Tarrago
An oriented graph is said positively multiplicative when its adjacency matrix embeds in a matrix algebra admitting a basis with nonnegative structure constants in…