1 citations · 1 across the 2 of their papers we have counts for
8 papers
Strategies for linear rewriting systems: link with parallel rewriting and involutive divisions
Cyrille Chenavier, Maxime Lucas
We study rewriting systems whose underlying set of terms is equipped with a vector space structure over a given field. We introduce parallel rewriting relations, which are rewritin…
Multiorder Laplacian for synchronization in higher-order networks
Maxime Lucas, Giulia Cencetti, Federico Battiston
Traditionally, interaction systems have been described as networks, where links encode information on the pairwise influences among the nodes. Yet, in many systems, interactions ta…
Abstract rewriting internalized
Maxime Lucas
In traditional rewriting theory, one studies a set of terms up to a set of rewriting relations. In algebraic rewriting, one instead studies a vector space of terms, up to a vector…
The folk model category structure on strict -categories is monoidal
Dimitri Ara, Maxime Lucas
We prove that the folk model category structure on the category of strict -categories, introduced by Lafont, Métayer and Worytkiewicz, is monoidal, first, for the Gray tensor pr…
Limitations of the asymptotic approach to dynamics
Julian Newman, Maxime Lucas, Aneta Stefanovska
Standard dynamical systems theory is centred around the coordinate-invariant asymptotic-time properties of autonomous systems. We identify three limitations of this approach. First…
Nonautonomous driving induces stability in network of identical oscillators
Maxime Lucas, Duccio Fanelli, Aneta Stefanovska
Nonautonomous driving of an oscillator has been shown to enlarge the Arnold tongue in parameter space, but little is known about the analogous effect for a network of oscillators.…