output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2019 · math.PRShow all

16 papers · 2 filters

math.PR2019

Conditional measures for Pfaffian point processes: conditioning on a bounded domain

Alexander I. Bufetov, Fabio Deelan Cunden, Yanqi Qiu

For a Pfaffian point process we show that its Palm measures, its normalised compositions with multiplicative functionals, and its conditional measures with respect to fixing the co…

math.PR2019★ 2 cited

Some toy models of self-organized criticality in percolation

Raphaël Cerf, Nicolas Forien

We consider the Bernoulli percolation model in a finite box and we introduce an automatic control of the percolation probability, which is a function of the percolation configurati…

math.PR2019★ 7 cited

Individual-based models under various time-scales

Aurélien Velleret

This article is a presentation of specific recent results describing scaling limits of individual-based models. Thanks to them, we wish to relate the time-scales typical of demogra…

math.PR2019★ 1 cited

On barycenters of probability measures

Sergey Berezin, Azat Miftakhov

A characterization is presented of barycenters of the Radon probability measures supported on a closed convex subset of a given space. A case of particular interest is studied, whe…

math.PR2019★ 18 cited

Fluctuations around a homogenised semilinear random PDE

Martin Hairer, Étienne Pardoux

We consider a semilinear parabolic partial differential equation in , where or , with a highly oscillating random potential and either homog…

math.PR2019★ 9 cited

Macroscopic and edge behavior of a planar jellium

Djalil Chafaï, David García-Zelada, Paul Jung

We consider a planar Coulomb gas in which the external potential is generated by a smeared uniform background of opposite-sign charge on a disc. This model can be seen as a two-dim…