3 papers
math.PR2024
A martingale-type characterisation of the Gaussian free field and fractional Gaussian free fields
Juhan Aru, Guillaume Woessner
We establish a martingale-type characterisations for the continuum Gaussian free field (GFF) and for fractional Gaussian free fields (FGFs), using their connection to the stochasti…
math.PR2024
Zeros of the Brownian Sheet
Keming Chen, Guillaume Woessner
In this work we firstly answer to a question raised by Khoshnevisan in \cite[Open Problem 4]{khoshnevisan2007slices} by proving that almost surely there is no projection of big eno…
math.PR2022
On a multi-dimensional McKean-Vlasov SDE with memorial and singular interaction associated to the parabolic-parabolic Keller-Segel model
Milica Tomašević, Guillaume Woessner
In this work we firstly prove the well-posedness of the non-linear martingale problem related to a McKean-Vlasov stochastic differential equation with singular interaction kernel i…