141 citations · 176 across the 6 of their papers we have counts for
6 papers
Phase transitions in distributed control systems with multiplicative noise
Nicolas Allegra, Bassam Bamieh, Partha P. Mitra +1
Contemporary technological challenges often involve many degrees of freedom in a distributed or networked setting. Three aspects are notable: the variables are usually associated w…
Inhomogeneous field theory inside the arctic circle
Nicolas Allegra, Jérôme Dubail, Jean-Marie Stéphan +1
Motivated by quantum quenches in spin chains, a one-dimensional toy-model of fermionic particles evolving in imaginary-time from a domain-wall initial state is solved. The main int…
Exact solution of the dimer model: Corner free energy, correlation functions and combinatorics
Nicolas Allegra
In this work, some classical results of the pfaffian theory of the dimer model based on the work of Kasteleyn, Fisher and Temperley are introduced in a fermionic framework. Then we…
Grassmannian representation of the two-dimensional monomer-dimer model
Nicolas Allegra, Jean-Yves Fortin
We present an application of the Grassmann algebra to the problem of the monomer-dimer statistics on a two-dimensional square lattice. The exact partition function, or total number…
Boundary crossover in non-equilibrium growth processes
Nicolas Allegra, Jean-Yves Fortin, Malte Henkel
The growth of stochastic interfaces in the vicinity of a boundary and the non-trivial crossover towards the behaviour deep in the bulk is analysed. The causal interactions of the i…
Scattering of slow-light gap solitons with charges in a two-level medium
J. Leon, P. Anghel-Vasilescu, F. Ginovart +1
The Maxwell-Bloch system describes a quantum two-level medium interacting with a classical electromagnetic field by mediation of the the population density. This population density…