377 citations
- Institut Élie Cartan de LorraineFR62 papers
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30 papers · 1 filter
Navigation in tilings of the hyperbolic plane and possible applications
Maurice Margenstern
This paper introduces a method of navigation in a large family of tilings of the hyperbolic plane and looks at the question of possible applications in the light of the few ones wh…
A note on the cone of mobile curves
Matei Toma
S. Boucksom, J.-P. Demailly, M. Paun and Th. Peternell proved that the cone of mobile curves ME(X) of a projective complex manifold X is dual to the cone generated by classes of ef…
Disordered Potts model on the diamond hierarchical lattice: Numerically exact treatment in the large-q limit
Ferenc Igloi, Loic Turban
We consider the critical behavior of the random q-state Potts model in the large-q limit with different types of disorder leading to either the nonfrustrated random ferromagnet reg…
On the Convergence of Population Protocols When Population Goes to Infinity
Olivier Bournez, Philippe Chassaing, Johanne Cohen +2
Population protocols have been introduced as a model of sensor networks consisting of very limited mobile agents with no control over their own movement. A population protocol corr…
Moderate deviations for the chemical distance in Bernoulli percolation
Olivier Garet, Régine Marchand
In this paper, we establish moderate deviations for the chemical distance in Bernoulli percolation. The chemical distance between two points is the length of the shortest open path…
Déviations modérées de la distance chimique
Olivier Garet, Régine Marchand
In this paper, we establish moderate deviations for the chemical distance in Bernoulli percolation. The chemical distance between two points is the length of the shortest open path…