117 citations · 561 across the 64 of their papers we have counts for
6 papers · 1 filter
Covariance structure behind breaking of ensemble equivalence in random graphs
Diego Garlaschelli, Frank den Hollander, Andrea Roccaverde
For a random graph subject to a topological constraint, the microcanonical ensemble requires the constraint to be met by every realisation of the graph (`hard constraint'), while t…
Metastability of hard-core dynamics on bipartite graphs
Frank den Hollander, Francesca R. Nardi, Siamak Taati
We study the metastable behaviour of a stochastic system of particles with hard-core interactions in a high-density regime. Particles sit on the vertices of a bipartite graph. New…
Annealed scaling for a charged polymer in dimensions two and higher
Quentin Berger, Frank den Hollander, Julien Poisat
This paper considers an undirected polymer chain on , , with i.i.d.\ random charges attached to its constituent monomers. Each self-intersection of the poly…
Ensemble equivalence for dense graphs
F. den Hollander, M. Mandjes, A. Roccaverde +1
In this paper we consider a random graph on which topological restrictions are imposed, such as constraints on the total number of edges, wedges, and triangles. We work in the dens…
Synchronization of phase oscillators on the hierarchical lattice
Diego Garlaschelli, Frank den Hollander, Janusz Meylahn +1
Synchronization of neurons forming a network with a hierarchical structure is essential for the brain to be able to function optimally. In this paper we study synchronization of ph…
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…