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20172022
most citedParking on supercritical Galton-Watson trees

5 citations · 10 across the 5 of their papers we have counts for

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Showing math.PRShow all

13 papers · 1 filter

math.PR2022

Non-universality in clustered ballistic annihilation

Matthew Junge, Arturo Ortiz San Miguel, Lily Reeves +1

In ballistic annihilation, infinitely many particles with randomly assigned velocities move across the real line and mutually annihilate upon contact. We introduce a variant with s…

math.PR2022

Arrivals are universal in coalescing ballistic annihilation

Darío Cruzado Padró, Matthew Junge, Lily Reeves

Coalescing ballistic annihilation is an interacting particle system intended to model features of certain chemical reactions. Particles are placed with independent and identically…

math.PR20205 cited

Parking on supercritical Galton-Watson trees

Riti Bahl, Philip Barnet, Matthew Junge

At each site of a supercritical Galton-Watson tree place a parking spot which can accommodate one car. Initially, an independent and identically distributed number of cars arrive a…

math.PR20191 cited

The Contact Process on Periodic Trees

Xiangying Huang, Rick Durrett

A little over 25 years ago Pemantle pioneered the study of the contact process on trees, and showed that on homogeneous trees the critical values and for global and loc…

math.PR2019

Critical percolation and A+B --> 2A dynamics

Matthew Junge

We study an interacting particle system in which moving particles activate dormant particles linked by the components of critical bond percolation. Addressing a conjecture from Bec…

math.PR20194 cited

SIR epidemics on evolving graphs

Yufeng Jiang, Remy Kassem, Grayson York +2

We consider evoSIR, a variant of the SIR model, on Erd\H os-Renyi random graphs in which susceptibles with an infected neighbor break that connection at rate and rewire to a ra…