Claude-Michel VIALLET (Photo)
tel: +33 1 44 27 74 28   //   fax: +33 1 44 27 70 88   //   e-mail: viallet@lpthe.jussieu.fr 


Quelques articles / A few papers (a more complete list of publications, and some pdf files on request):
Antiques
"The geometrical interpretation of the Faddeev-Popov determinant " 
avec O. Babelon  Phys.Lett. 85B, 1979
"The geometrical setting of gauge theories of the Yang-Mills type" avec M .Daniel Rev.Mod.Phys 52 (1980), pp 175-197
Le debut de l'entropie algebrique / The beginning of algebraic entropy :
"Singularity, complexity and quasi-integrability of  rational mappings"  avec G.Falqui Comm.Math.Phys. 154 (1993), p111
"Singularity confinement and chaos in discrete systems" avec J. Hietarinta solv-int/9711014 (Phys.Rev.Let. 81 (1998), pp 326-328) [erratum].
"Algebraic entropy" avec M. Bellon (arXiv:chao-dyn/9805006) Comm.Math.Phys. 204 (1999), pp. 425-437
"Singularity confinement and degree growth" avec J. Hietarinta hv2, "Complexity and integrability" cmv_side3
"Discrete Painlev'e I and singularity confinement in projective space" avec J. Hietarinta Chaos, Solitons and Fractals 11, 2000, p29

Voir aussi / See also: "A classification of four-state spin edge Potts models"   J. Phys. A 35 (2002) pp 9251-9272    [erratum].
"Solvable chaos"  Phys.Lett. A 336 (2005) pp 152-158
"About correspondences" Phys.Lett. A 322 (2004) pp 186-193   
"On the complexity of some birational transformations" (arXiv:math-ph/0503074)   J.Phys. A 39 (2006) pp 3641-3654
"Algebraic entropy for lattice equations" (arXiv:math-ph/0609043)  
"Searching for integrable lattice maps using factorization" (arXiv:0705.1903)   J.Phys. A 40 (2007), pp 12629-12643
"Integrable lattice maps: Q_V, a rational version of Q_4"    (arXiv:0802.0294v1)   Glasgow Math. J., 51A (2009) 157­163
"Asymmetric integrable quad-graph equations"    (arXiv:0906.2339)   Applicable Analysis (2009)


Links: "SYMMETRIES AND INTEGRABILITY OF DIFFERENCE EQUATIONS"    SIDE
Schools/Workshops on Algebraic Geometry and Physics  SAGP / WAGP


retour au LPTHE / back to LPTHE http://www.lpthe.jussieu.fr