We discuss pressure computations for the hard-disk model performed since 1953 and
compare them to the results that we obtain with a powerful event-chain Monte Carlo and a …

The hard-sphere model is one of the most extensively studied models in statistical physics. It
describes the continuous distribution of spherical particles, governed by hard-core …

We provide a perfect sampling algorithm for the hard-sphere model on subsets of $\mathbb
{R}^ d $ with expected running time linear in the volume under the assumption of strong …

We give a new criterion for a classical gas with a repulsive pair potential to exhibit
uniqueness of the infinite volume Gibbs measure and analyticity of the pressure. Our …

Event-chain Monte Carlo (ECMC) accelerates the sampling of hard-sphere systems, and
has been generalized to the potentials used in classical molecular simulations. Rather than …

We define a potential-weighted connective constant that measures the effective strength of a
repulsive pair potential of a Gibbs point process modulated by the geometry of the …

We prove that a Gibbs point process interacting via a finite-range, repulsive potential ϕ
exhibits a strong spatial mixing property for activities λ< e/Δ ϕ, where Δ ϕ is the potential …

We study computational aspects of repulsive Gibbs point processes, which are probabilistic
models of interacting particles in a finite-volume region of space. We introduce an approach …

We study the connection between damage spreading, a phenomenon long discussed in the
physics literature, and the coupling of Markov chains, a technique used to bound the mixing …

A generalized version of Groeneveld's convergence criterion for the virial expansion and
generating functionals for weighted two-connected graphs is proven. This criterion works for …