output
20092024
most citedCompetition between collective and individual dynamics

130 citations

Showing 2018Show all

5 papers · 1 filter

quant-ph2018★ 14 cited

Discrete-time quantum walks as fermions of lattice gauge theory

Pablo Arnault, Armando Pérez, Pablo Arrighi +1

It is shown that discrete-time quantum walks can be used to digitize, i.e., to time discretize fermionic models of continuous-time lattice gauge theory. The resulting discrete-time…

physics.soc-ph2018★ 30 cited

Giant catalytic effect of altruists in Schelling's segregation model

P. Jensen, T. Matreux, J. Cambe +2

We study the effect of introducing altruistic agents in a Schelling-like model of residential segregation. We find that even an infinitesimal proportion of altruists has dramatic c…

quant-ph2018★ 44 cited

The Dirac equation as a quantum walk over the honeycomb and triangular lattices

Pablo Arrighi, Giuseppe Di Molfetta, Iván Márquez-Martín +1

A discrete-time Quantum Walk (QW) is essentially an operator driving the evolution of a single particle on the lattice, through local unitaries. Some QWs admit a continuum limit, l…

cs.FL2018★ 11 cited

A gauge-invariant reversible cellular automaton

Pablo Arrighi, Giuseppe Di Molfetta, Nathanaël Eon

Gauge-invariance is a fundamental concept in physics---known to provide the mathematical justification for all four fundamental forces. In this paper, we provide discrete counterpa…

q-fin.GN2018★ 5 cited

Coexistence of several currencies in presence of increasing returns to adoption

Alex Lamarche-Perrin, André Orléan, Pablo Jensen

We present a simplistic model of the competition between different currencies. Each individual is free to choose the currency that minimizes his transaction costs, which arise when…