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20162025
most citedCritical fragmentation properties of random drilling: How many random holes need to be drilled to collapse a wooden cube?

25 citations · 36 across the 7 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.PR2018

Shape theorem and surface fluctuation for Poisson cylinders

Marcelo Hilario, Xinyi Li, Petr Panov

In this work, we prove a shape theorem for Poisson cylinders and give a power law bound on surface fluctuations. We prove that for any , conditioned on the origin b…

math.PR2018

Random Walks on Dynamical Random Environments with Non-Uniform Mixing

Oriane Blondel, Marcelo R. Hilario, Augusto Teixeira

In this paper we study random walks on dynamical random environments in dimensions. Assuming that the environment is invariant under space-time shifts and fulfills a mild m…