Barbara Dembin

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math.PR2025

Sharpness for monotone absorbing Interacting Particle Systems

Jean BÃ©rard, Barbara Dembin, Laure MarÃªchÃ©

We prove a sharpness result for the dynamics of finite-range Interacting Particle Systems (IPS) on ${0, 1}^{Z^{d}}$ , which generalizes to a whole class of IPS the sharpness result…

math.PR2025

High-intensity Voronoi percolation on manifolds

Tillmann BÃ¼hler, Barbara Dembin, Ritvik Ramanan Radhakrishnan +1

We study Voronoi percolation on a large class of $d$ -dimensional Riemannian manifolds, which includes the hyperbolic spaces $H^{d}$ , $d \geq 2$ . We prove that as the intensit…

math.PR2025

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation

Barbara Dembin, Dor Elboim

We study first-passage percolation on $Z^{2}$ with independent and identically distributed weights, whose common distribution is uniform on ${a, b}$ with $0 < a < b < \infty$ . F…

math.PR2025

Minimal surfaces in strongly correlated random environments

Barbara Dembin, Dor Elboim, Ron Peled

A minimal surface in a random environment (MSRE) is a $d$ -dimensional surface in $(d + n)$ -dimensional space which minimizes the sum of its elastic energy and its environment potenti…

math.PR2024

Supercritical sharpness for Voronoi percolation

Barbara Dembin, Franco Severo

We prove that the supercritical phase of Voronoi percolation on $R^{d}$ , $d \geq 3$ , is well behaved in the sense that for every $p > p_{c} (d)$ local uniqueness of macroscopic cl…