output
20142025
most citedCritical fragmentation properties of random drilling: How many random holes need to be drilled to collapse a wooden cube?

25 citations

6 papers

cs.LG2025

Leveraging graph neural networks and mobility data for COVID-19 forecasting

Fernando H. O. Duarte, Gladston J. P. Moreira, Eduardo J. S. Luz +2

The COVID-19 pandemic has claimed millions of lives, spurring the development of diverse forecasting models. In this context, the true utility of complex spatio-temporal architectu…

physics.soc-ph2022

Flood risk map from hydrological and mobility data: a case study in São Paulo (Brazil)

Lívia Rodrigues Tomás, Giovanni Guarnieri Soares, Aurelienne A. S. Jorge +3

Cities increasingly face flood risk primarily due to extensive changes of the natural land cover to built-up areas with impervious surfaces. In urban areas, flood impacts come main…

math.NA2021

Adaptive modelling of variably saturated seepage problems

Ben Ashby, Cassiano Bortolozo, Alex Lukyanov +1

In this article we present a goal-oriented adaptive finite element method for a class of subsurface flow problems in porous media, which exhibit seepage faces. We focus on a repres…

cond-mat.dis-nn2017★ 6 cited

Percolation in Media with Columnar Disorder

Peter Grassberger, Marcelo R. Hilario, Vladas Sidoravicius

We study a generalization of site percolation on a simple cubic lattice, where not only single sites are removed randomly, but also entire parallel columns of sites. We show that t…

cond-mat.stat-mech2016★ 25 cited

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

K. J. Schrenk, M. R. Hilário, V. Sidoravicius +4

A solid wooden cube fragments into pieces as we sequentially drill holes through it randomly. This seemingly straightforward observation encompasses deep and nontrivial geometrical…

math.NT2014★ 8 cited

Partial sums of biased random multiplicative functions

Marco Aymone, Vladas Sidoravicius

Let be the set of the primes. We consider a class of random multiplicative functions supported on the squarefree integers, such that …