158 citations · 227 across the 5 of their papers we have counts for
5 papers
Heat kernel asymptotics for scaling limits of isoradial graphs
Simon Schwarz, Anja Sturm, Max Wardetzky
We consider the asymptotics of the discrete heat kernel on isoradial graphs for the case where the time and the edge lengths tend to zero simultaneously. Depending on the asymptoti…
Efficient Random Walks on Riemannian Manifolds
Simon Schwarz, Michael Herrmann, Anja Sturm +1
According to a version of Donsker's theorem, geodesic random walks on Riemannian manifolds converge to the respective Brownian motion. From a computational perspective, however, ev…
On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction
Juerg Froehlich, Antti Knowles, Simon Schwarz
In the mean-field limit the dynamics of a quantum Bose gas is described by a Hartree equation. We present a simple method for proving the convergence of the microscopic quantum dyn…
Mean-Field- and Classical Limit of Many-Body Schrödinger Dynamics for Bosons
Juerg Froehlich, Sandro Graffi, Simon Schwarz
We present a new proof of the convergence of the N-particle Schroedinger dynamics for bosons towards the dynamics generated by the Hartree equation in the mean-field limit. For a r…
Statistical Mechanics of Thermodynamic Processes
Jürg Fröhlich, Marco Merkli, Simon Schwarz +1
In this note we describe some results concerning non-relativistic quantum systems at positive temperature and density confined to macroscopically large regions of physical space wh…