80 citations · 80 across the 1 of their papers we have counts for
3 papers
Random walks on dense graphs and graphons
Julien Petit, Renaud Lambiotte, Timoteo Carletti
Graph-limit theory focuses on the convergence of sequences of graphs when the number of nodes becomes arbitrarily large. This framework defines a continuous version of graphs allow…
Classes of random walks on temporal networks with competing timescales
Julien Petit, Renaud Lambiotte, Timoteo Carletti
Random walks find applications in many areas of science and are the heart of essential network analytic tools. When defined on temporal networks, even basic random walk models may…
The theory of Turing patterns on time varying networks
Julien Petit, Ben Lauwens, Duccio Fanelli +1
The process of pattern formation for a multi-species model anchored on a time varying network is studied. A non homogeneous perturbation superposed to an homogeneous stable fixed p…