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 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 demonstrate a quasipolynomial-time deterministic approximation algorithm for the
partition function of a Gibbs point process interacting via a stable potential. This result holds …

We study the algorithmic applications of a natural discretization for the hard-sphere model
and the Widom–Rowlinson model in a region of d-dimensional Euclidean space V⊂ R d …

We prove that for every locally stable and tempered pair potential $\phi $ with bounded
range, there exists a unique infinite-volume Gibbs point process on $\mathbb {R}^ d $ for …

In the recent work of [Michelen, Perkins, Comm. Math. Phys. 399: 1 (2023)], a new lower
bound of $ eC_ {\phi}(\beta)^{-1} $ is obtained for the positive activity up to which the …

We study computational aspects of Gibbs point processes that are defined by a fugacity
$\lambda\in\mathbb {R} _ {\ge 0} $ and a repulsive symmetric pair potential $\phi $ on …

We revisit the classic Pandora's Box (PB) problem under correlated distributions on the box
values. Recent work of [Shuchi Chawla et al., 2020] obtained constant approximate …