26 citations · 82 across the 11 of their papers we have counts for
12 papers · 1 filter
Random walk on barely supercritical branching random walk
Remco van der Hofstad, Tim Hulshof, Jan Nagel
Let be a supercritical Galton-Watson tree with a bounded offspring distribution that has mean , conditioned to survive. Let be a random embeddi…
Sharpness for Inhomogeneous Percolation on Quasi-Transitive Graphs
Thomas Beekenkamp, Tim Hulshof
In this note we study the phase transition for percolation on quasi-transitive graphs with quasi-transitively inhomogeneous edge-retention probabilities. A quasi-transitive graph i…
Backbone scaling limit of the high-dimensional IIC: extended version
Markus Heydenreich, Remco van der Hofstad, Tim Hulshof +1
We identify the scaling limit of the backbone of the high-dimensional incipient infinite cluster (IIC), both in the finite-range and the long-range setting. In the finite-range set…
Expansion of percolation critical points for Hamming graphs
Lorenzo Federico, Remco van der Hofstad, Frank den Hollander +1
The Hamming graph is the Cartesian product of complete graphs on vertices. Let be the degree and be the number of vertices of . Let $p…
Slightly subcritical hypercube percolation
Tim Hulshof, Asaf Nachmias
We study bond percolation on the hypercube in the slightly subcritical regime where and but $\varepsilon_m \gg 2^{-m/…
Higher order corrections for anisotropic bootstrap percolation
Hugo Duminil-Copin, Aernout C. D. van Enter, Tim Hulshof
We study the critical probability for the metastable phase transition of the two-dimensional anisotropic bootstrap percolation model with -neighbourhood and threshold $r = 3…