Zobrazeno 1 - 10
of 26
pro vyhledávání: '"J. Ch. Anglès d'Auriac"'
Autor:
J.-Ch. Anglès d'Auriac, J.-M. Maillard
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 321:325-333
In this short note we collect together known results on the use of random matrix theory (RMT) in lattice statistical mechanics. The purpose here is two fold. Firstly the RMT analysis provides an intrinsic characterization of integrability, and second
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::596a10031292c430fc348ba7c660b1a2
https://doi.org/10.1016/s0378-4371(02)01756-9
https://doi.org/10.1016/s0378-4371(02)01756-9
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 281:151-172
We consider a family of birational transformations of two variables, depending on one parameter, for which simple rational expressions with integer coefficients, for the exact expression of the dynamical zeta function, have been conjectured. Moreover
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96e7f1d90be1fdefb1eade9d217e33a8
https://doi.org/10.1016/s0378-4371(00)00020-0
https://doi.org/10.1016/s0378-4371(00)00020-0
Publikováno v:
Physics Letters A. 262:44-49
To test a possible relation between topological entropy and Arnold complexity, and to provide a nontrivial examples of rational dynamical zeta functions, we introduce a two-parameter family of discrete birational mappings of two complex variables. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6e74bc553f111d8dbecc4cbbb653f8d
https://doi.org/10.1016/s0375-9601(99)00662-3
https://doi.org/10.1016/s0375-9601(99)00662-3
Publikováno v:
Annals of Combinatorics
Annals of Combinatorics, 1999, 3 (2-4), pp.131-158. ⟨10.1007/BF01608780⟩
Annals of Combinatorics, Springer Verlag, 1999, 3 (2-4), pp.131-158. ⟨10.1007/BF01608780⟩
Annals of Combinatorics, 1999, 3 (2-4), pp.131-158. ⟨10.1007/BF01608780⟩
Annals of Combinatorics, Springer Verlag, 1999, 3 (2-4), pp.131-158. ⟨10.1007/BF01608780⟩
We recall some non-trivial, non-linear functional relations appearing in various domains of mathematics and physics, such as lattice statistical mechanics, quantum mechanics, or enumerative combinatorics. We focus, more particularly, on the analytici
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44cc3d914b08c49e90ac1a232fc1e0ec
https://doi.org/10.1007/bf01608780
https://doi.org/10.1007/bf01608780
Publikováno v:
Physica D: Nonlinear Phenomena
Physica D: Nonlinear Phenomena, Elsevier, 1999, 130 (1-2), pp.27-42. ⟨10.1016/S0167-2789(99)00014-7⟩
Physica D: Nonlinear Phenomena, Elsevier, 1999, 130 (1-2), pp.27-42. ⟨10.1016/S0167-2789(99)00014-7⟩
We first study birational mappings generated by the composition of the matrix inversion and of a permutation of the entries of $ 3 \times 3 $ matrices. We introduce a semi-numerical analysis which enables to compute the Arnold complexities for all th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::951de6e80a686b368655d11d3121f1f0
https://doi.org/10.1016/s0167-2789(99)00014-7
https://doi.org/10.1016/s0167-2789(99)00014-7
Autor:
J-Ch. Anglès d’Auriac, Ferenc Iglói
We study the critical behavior of the random q-state Potts model in the large-q limit on the diamond hierarchical lattice with an effective dimensionality $d_{\rm eff} > 2$. By varying the temperature and the strength of the frustration the system ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d7dc0cdd9fcc261de812f807785aaec
http://arxiv.org/abs/1211.5979
http://arxiv.org/abs/1211.5979
Publikováno v:
Physical review. E, Statistical, nonlinear, and soft matter physics. 78(6 Pt 1)
We consider two models with disorder dominated critical points and study the distribution of clusters which are confined in strips and touch one or both boundaries. For the classical random bond Potts model in the large-q limit we study optimal Fortu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9b3a4368a90fd3c24db57731d8265b9
https://pubmed.ncbi.nlm.nih.gov/19256804
https://pubmed.ncbi.nlm.nih.gov/19256804
We consider the ferromagnetic large-$q$ state Potts model in complex evolving networks, which is equivalent to an optimal cooperation problem, in which the agents try to optimize the total sum of pair cooperation benefits and the supports of independ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48a53ef8061436966ab50f8c82863a08
http://arxiv.org/abs/0704.1538
http://arxiv.org/abs/0704.1538
We study the effect of varying strength, $\delta$, of bond randomness on the phase transition of the three-dimensional Potts model for large $q$. The cooperative behavior of the system is determined by large correlated domains in which the spins poin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ea9dcbe6e3cc2db789faad88b0d9928
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 the transition stays of first order, but different thermodynamical quan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68b97bbdbda860e53e0cf7fd23068bb1
http://hdl.handle.net/11386/1000644
http://hdl.handle.net/11386/1000644