5 citations · 6 across the 8 of their papers we have counts for
8 papers
A phase transition for the hard sphere model on the hyperbolic plane
Lewis Bowen, Marcus Michelen, Will Perkins
The hard sphere model is a classical model from statistical physics in which particles are represented by equal-sized spheres. Longstanding predictions from the physics literature…
Uniqueness, analyticity and mixing for Gibbs point processes via spectral gaps
Andreas Göbel, Matthew Jenssen, Marcus Michelen +3
A Gibbs point process models particles interacting in the continuum through a potential. Among the most classical examples is the hard-sphere model, where given an activity paramet…
A simple proof of rapid mixing on random regular graphs beyond uniqueness
Andreas Göbel, Matthew Jenssen, Marcus Michelen +3
A recent breakthrough of Chen, Chen, Chen, Yin, and Zhang shows rapid mixing for Glauber dynamics for the hard-core model on random regular graphs beyond the tree uniqueness thresh…
Age of gossip from connective properties via first passage percolation
Thomas Jacob Maranzatto, Marcus Michelen
In gossip networks, a source node forwards time-stamped updates to a network of observers according to a Poisson process. The observers then update each other on this information a…
Strong spatial mixing for repulsive point processes
Marcus Michelen, Will Perkins
We prove that a Gibbs point process interacting via a finite-range, repulsive potential exhibits a strong spatial mixing property for activities , where is the…
Potential-weighted connective constants and uniqueness of Gibbs measures
Marcus Michelen, Will Perkins
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 unde…
Maximum entropy and integer partitions
Gweneth McKinley, Marcus Michelen, Will Perkins
We derive asymptotic formulas for the number of integer partitions with given sums of th powers of the parts for belonging to a finite, non-empty set .…
Analyticity for classical gasses via recursion
Marcus Michelen, Will Perkins
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 improvem…