output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2022 · math.PRShow all

8 papers · 2 filters

math.PR2022★ 18 cited

Ising model on clustered networks: A model for opinion dynamics

Simone Baldassarri, Anna Gallo, Vanessa Jacquier +1

We study opinion dynamics on networks with a nontrivial community structure, assuming individuals can update their binary opinion as the result of the interactions with an external…

math.PR2022

Summing free unitary Brownian motions with applications to quantum information

Nizar Demni, Tarek Hamdi

Motivated by quantum information theory, we introduce a dynamical random state built out of the sum of independent unitary Brownian motions. In the large size limit, its…

math.PR2022

Mobility Edge for Lévy Matrices

Amol Aggarwal, Charles Bordenave, Patrick Lopatto

Lévy matrices are symmetric random matrices whose entry distributions lie in the domain of attraction of an -stable law. For , predictions from the physics literature sugg…

math.PR2022

The Critical Density for Activated Random Walks is always less than 1

Amine Asselah, Nicolas Forien, Alexandre Gaudillière

Activated Random Walks, on for any , is an interacting particle system, where particles can be in either of two states: active or frozen. Each active p…

math.PR2022★ 7 cited

Metastability for Kawasaki dynamics on the hexagonal lattice

Simone Baldassarri, Vanessa Jacquier

In this paper we analyze the metastable behavior for the Ising model that evolves under Kawasaki dynamics on the hexagonal lattice in the limit of vanishing temperat…

math.PR2022★ 6 cited

The Virasoro structure and the scattering matrix for Liouville conformal field theory

Guillaume Baverez, Colin Guillarmou, Antti Kupiainen +2

In this work, we construct a representation of the Virasoro algebra in the canonical Hilbert space associated to Liouville conformal field theory. The study of the Virasoro operato…