18 citations · 19 across the 3 of their papers we have counts for
7 papers
Disorder driven phase transitions of the large q-state Potts model in 3d
M. T. Mercaldo, J-Ch. Anglès d'Auriac, F. Iglói
Phase transitions induced by varying the strength of disorder in the large-q state Potts model in 3d are studied by analytical and numerical methods. By switching on the disorder t…
Phase transition in the 2d random Potts model in the large-q limit
J-Ch. Angles d'Auriac, F. Igloi
Phase transition in the two-dimensional -state Potts model with random ferromagnetic couplings in the large-q limit is conjectured to be described by the isotropic version of th…
Random Matrix Theory in Lattice Statistical Mechanics
J. -Ch. Angles d'Auriac, J. -M. Maillard
In this short note we collect together known results on the use of Random Matrix Theory in lattice statistical mechanics. The purpose here is two fold. Firstly the RMT analysis pro…
Optimal Cooperation and Submodularity for Computing Potts' Partition Functions with a Large Number of State
J-Ch. Angles d'Auriac, F. Igloi, M. Preissmann +1
The partition function of the q-state Potts model with random ferromagnetic couplings in the large-q limit is generally dominated by the contribution of a single diagram of the hig…
Spin Models on Non-Euclidean Hyperlattices: Griffiths Phases without Extrinsic Disorder
J. C. Angles d'Auriac, R. Melin, P. Chandra +1
We study short-range ferromagnetic models residing on planar manifolds with global negative curvature. We show that the local metric properties of the embedding surface induce drop…
Topological entropy and complexity for discrete dynamical systems
N. Abarenkova, J. -Ch. Anglès d'Auriac, S. Boukraa +2
To test a possible relation between the topological entropy and the Arnold complexity, and to provide a non trivial example of a rational dynamical zeta function, we introduce a tw…