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7 papers · 2 filters
Phase transition for continuum Widom-Rowlinson model with random radii
David Dereudre, Pierre Houdebert
In this paper we study the phase transition of continuum Widom-Rowlinson measures in with types of particles and random radii. Each particle of type is…
The Tail expansion of Gaussian multiplicative chaos and the Liouville reflection coefficient
Rémi Rhodes, Vincent Vargas
In this short note, we derive a precise tail expansion for Gaussian multiplicative chaos (GMC) associated to the 2d GFF on the unit disk with zero average on the unit circle (and v…
The logarithmic derivative for point processes with equivalent Palm measures
Alexander I. Bufetov, Andrey V. Dymov, Hirofumi Osada
The logarithmic derivative of a point process plays a key role in the general approach, due to the third author, to constructing diffusions preserving a given point process. In thi…
Approximation of the Height process of a CSBP with interaction
Ibrahima Drame, Etienne Pardoux
In this work, we first show that the properly rescaled height process of the genealogical tree of a continuous time branching process converges to the height process of the genealo…
Regularity of the speed of biased random walk in a one-dimensional percolation model
Nina Gantert, Matthias Meiners, Sebastian Mueller
We consider biased random walks on the infinite cluster of a conditional bond percolation model on the infinite ladder graph. Axelsson-Fisk and Häggström established for this model…
Equivalence of Palm measures for determinantal point processes governed by Bergman kernels
Alexander I. Bufetov, Shilei Fan, Yanqi Qiu
For a determinantal point process induced by the reproducing kernel of the weighted Bergman space over a domain , we establish the mutual absolu…