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Physique Théorique
(122) Production(s) de l'année 2017
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A New Braid-like Algebra for Baxterisation 
Auteur(s): Crampé N., Frappat L., Ragoucy E., Vanicat M.
(Article) Publié:
Communications In Mathematical Physics, vol. 349 p.271-283 (2017)
Texte intégral en Openaccess : 
Ref HAL: hal-01220002_v1
Ref Arxiv: 1509.05516
DOI: 10.1007/s00220-016-2780-y
WoS: WOS:000392061000005
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
3 Citations
Résumé: We introduce a new Baxterisation for R-matrices that depend separately on twospectral parameters. The Baxterisation is based on a new algebra, close to butdifferent from the braid group. This allows us to recover the R-matrix of themulti-species generalization of the totally asymmetric simple exclusion processwith different hopping rates.
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Ray chaos in a photonic crystal
Auteur(s): Rousseau E., Felbacq D.
(Article) Publié:
Europhysics Letters (Epl), vol. 117 p.14002 (2017)
Texte intégral en Openaccess : 
Ref HAL: hal-01095319_v3
DOI: 10.1209/0295-5075/117/14002
WoS: WOS:000397026200018
Exporter : BibTex | endNote
2 Citations
Résumé: The ray dynamics in a photonic crystal was investigated. Chaos occurs for perfectly periodic crystals, the rays dynamics being very sensitive to the initial conditions. Depending on the filling factor, the ray dynamics can exhibit stable paths near (fully) chaotic motion. The degree of chaoticity is quantified through the computation of Lyapunov exponents. As a result, the more diluted is the geometry, the more chaotic is the dynamic. Therefore, despite the perfect periodicity of the geometry, light transport is a diffusive process which can be tuned from normal diffusion (brownian motion) to anomalous diffusion because of the existence of L ́evy flights.
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Global Jacquet-Langlands Correspondence for Division Algebras in Characteristic $p$
Auteur(s): Badulescu Alexandru Ioan, Roche P.
(Article) Publié:
International Mathematics Research Notices, vol. 7 p.2172–2206 (2017)
Texte intégral en Openaccess :
Ref HAL: hal-02067734_v1
DOI: 10.1093/imrn/rnw094
WoS: 000404041400007
Exporter : BibTex | endNote
6 Citations
Résumé: We prove a full global Jacquet-Langlands correspondence between GL(n) and division algebras over global fields of non zero characteristic. If D is a central division algebra of dimension n 2 over a global field F of non zero characteristic , we prove that there exists an injective map from the set of automorphic representations of D × to the set of automorphic square integrable representations of GL n (F), compatible at all places with the local Jacquet-Langlands correspondence for unitary representations. We characterize the image of the map. As a consequence we get multiplicity one and strong multiplicity one theorems for D × .
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