1 citations · 1 across the 3 of their papers we have counts for
4 papers
Equilibrium fluctuations for a multi-species particle system with long jumps
Giuseppe Cannizzaro, Pedro Cardoso, Lukas Gräfner +1
In the present paper, we study the equilibrium fluctuations of a particle system in infinite volume with two conserved quantities and long-range dependence. More specifically, the…
Construction of the 1d Self-repelling Brownian Polymer
Harry Giles, Lukas Gräfner
We consider the self-repelling Brownian polymer, introduced in [APP83], which is formally defined as the solution of a singular SDE. The singularity comes from the drift term, whic…
Weak well-posedness of energy solutions to singular SDEs with supercritical distributional drift
Lukas Gräfner, Nicolas Perkowski
We study stochastic differential equations with additive noise and distributional drift on or and . We work in a scaling-supercritical…
Energy solutions to SDEs with supercritical distributional drift: An extension and weak convergence rates
Lukas Gräfner
In this work we consider the SDE \begin{equation} \text{d} X_t = b (t, X_t) \text{d} t + \sqrt{2} \text{d} B_t, \label{mainSDE} \end{equation} in dimension , where $…