Conformal structures and period matrices of polyhedral surfaces, Riemann Surfaces -Computational Approaches, pp.1-13, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00413643
Using the Intergeo Platform for Teaching and Research, The Ninth International Conference on Technology in Mathematics Teaching (ICTMT 9), 2009. ,
Images des mathématiques, 2009. ,
Interoperable interactive geometry for europe -first technological and educational results and future challenges of the intergeo project. CERME 6 -Sixth Conference of European Research in Mathematics Education, 2009. ,
Images des mathématiques, Feb, 2009. ,
Cross-curriculum search for Intergeo Intelligent computer mathematics, 9th international conference 7th international conference Proceedings, pp.520-535, 2008. ,
Spektrum der Wissenschaft, Special issue Ethnomathematik, pp.46-51, 2006. ,
Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green's function, J ,
lattice models, Journal of Physics A: Mathematical and General, vol.36, issue.11, pp.362623-2662, 2003. ,
DOI : 10.1088/0305-4470/36/11/301
URL : https://hal.archives-ouvertes.fr/hal-00249018
Integrable Boundaries and Universal TBA Functional Equations, MathPhys odyssey, pp.391-413, 2001. ,
DOI : 10.1007/978-1-4612-0087-1_14
Integrable lattice realizations of conformal twisted boundary conditions, Phys. Lett. B, vol.517, pp.3-4429, 2001. ,
Integrable and conformal boundary conditions for Z k parafermions on a cylinder, J. Phys. A, vol.34, issue.29, pp.5751-5771, 2001. ,
under the direction of Daniel Bennequin, p.98014, 1998. ,
Classification of Integrable Equations on Quad-Graphs. The Consistency Approach, Communications in Mathematical Physics, vol.233, issue.3, pp.513-543, 2003. ,
DOI : 10.1007/s00220-002-0762-8
Discrete Z ? and Painlevé equations, Internat. Math. Res. Notices, issue.4, pp.165-193, 2000. ,
Soliton solutions for Q3, Journal of Physics A: Mathematical and Theoretical, vol.41, issue.14, 2008. ,
DOI : 10.1088/1751-8113/41/14/142001
Critical correlations in a Z-invariant inhomogeneous ising model, Physica A: Statistical Mechanics and its Applications, vol.144, issue.1, pp.44-104, 1987. ,
DOI : 10.1016/0378-4371(87)90145-2
Correlation functions and susceptibility in the Zinvariant Ising model, MathPhys odyssey, pp.23-48, 2001. ,
Wavevector-Dependent Susceptibility in Aperiodic Planar Ising Models, MathPhys odyssey, pp.1-21, 2001. ,
DOI : 10.1007/978-1-4612-0087-1_1
SOLUTIONS OF NONLINEAR EQUATIONS INTEGRABLE IN JACOBI THETA FUNCTIONS BY THE METHOD OF THE INVERSE PROBLEM, AND SYMMETRIES OF ALGEBRAIC CURVES, Mathematics of the USSR-Izvestiya, vol.26, issue.3, pp.511-529, 1985. ,
DOI : 10.1070/IM1986v026n03ABEH001156
The lattice of integral flows and the lattice of integral cuts on a finite graph, Bulletin de la Société mathématique de France, vol.125, issue.2, pp.167-198, 1997. ,
DOI : 10.24033/bsmf.2303
Riemann???Roch and Abel???Jacobi theory on a finite graph, Advances in Mathematics, vol.215, issue.2, pp.766-788, 2007. ,
DOI : 10.1016/j.aim.2007.04.012
URL : http://doi.org/10.1016/j.aim.2007.04.012
Solvable Eight-Vertex Model on an Arbitrary Planar Lattice, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.289, issue.1359, pp.315-346, 1359. ,
DOI : 10.1098/rsta.1978.0062
Exactly Solved Models in Statistical Mechanics, 1989. ,
DOI : 10.1142/9789814415255_0002
Faddeev-Volkov solution of the Yang-Baxter equation and discrete conformal symmetry, Nucl. Phys., B, vol.784, issue.3, pp.234-258, 2007. ,
Conformal blocks, fusion rules and the Verlinde formula, Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry (Ramat Gan, pp.75-96, 1993. ,
Integrable and conformal boundary conditions for b sl(2) A-D-E lattice models and unitary minimal conformal field theories, Proceedings of the Baxter Revolution in Mathematical Physics, pp.577-640, 2001. ,
Conformal Flattening by Curvature Prescription and Metric Scaling, Proc. Eurographics, 2008. ,
DOI : 10.1111/j.1467-8659.2008.01142.x
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.173.1585
Harmonic functions on planar and almost planar graphs and manifolds, via circle packings, Inventiones Mathematicae, vol.126, issue.3, pp.565-587, 1996. ,
DOI : 10.1007/s002220050109
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.5100
All constant mean curvature tori inR 3,S 3,H 3 in terms of theta-functions, Mathematische Annalen, vol.121, issue.3, pp.209-245, 1991. ,
DOI : 10.1007/BF01459243
Discrete isothermic surfaces, J. Reine Angew. Math, vol.475, pp.187-208, 1996. ,
A discrete Laplace-Beltrami operator for simplicial surfaces, Discrete Comput. Geom, vol.38, issue.4, pp.740-756, 2007. ,
Discrete Koenigs nets and discrete isothermic surfaces, Int. Math. Res. Not. IMRN, issue.11, pp.1976-2012, 2009. ,
The critical Z-invariant Ising model via dimers: the periodic case, 2008. ,
The critical Z-invariant Ising model via dimers: locality property, 2009. ,
Approximation of conformal mappings by circle patterns, Geometriae Dedicata, vol.86, issue.1, pp.163-197, 2008. ,
DOI : 10.1007/s10711-008-9292-7
Strong thinning and polyhedric approximation of the surface of a voxel object, 9th International Conference on Discrete Geometry for Computer Imagery, pp.93-114, 2000. ,
DOI : 10.1016/S0166-218X(02)00226-3
Geodesics, periods, and equations of real hyperelliptic curves, Duke Math. J, vol.108, issue.2, pp.211-250, 2001. ,
Some Remarks on the Uniformizing Function in Genus 2, Geometriae Dedicata, vol.311, issue.1, pp.121-133, 2005. ,
DOI : 10.1007/s10711-005-6908-z
Modular invariant partition functions in two dimensions, Nuclear Physics B, vol.280, issue.3, pp.445-465, 1987. ,
DOI : 10.1016/0550-3213(87)90155-6
Discrete complex analysis on isoradial graphs. math.CV/0810, pp.1-31, 2008. ,
Dimers on Surface Graphs and Spin Structures. I, Communications in Mathematical Physics, vol.78, issue.1, pp.187-208, 2007. ,
DOI : 10.1007/s00220-007-0302-7
Dimers on Surface Graphs and Spin Structures. I, Communications in Mathematical Physics, vol.78, issue.1, pp.445-468, 2008. ,
DOI : 10.1007/s00220-007-0302-7
Twisted partition functions for ade boundary conformal field theories and ocneanu algebras of quantum symmetries. hep-th, pp.1-47, 2001. ,
Geometrical aspects of the Z-invariant Ising model, The European Physical Journal B, vol.144, issue.1, pp.85-90, 2006. ,
DOI : 10.1140/epjb/e2006-00336-1
Dimers and the Critical Ising Model on lattices of genus >1, Nuclear Physics B, vol.623, issue.3, pp.439-473, 2002. ,
DOI : 10.1016/S0550-3213(01)00611-3
Finite size corrections for the Ising model on higher genus triangular lattices, J. Stat. Phys, vol.112, pp.5-6889, 2003. ,
Quadri-tilings of the plane, Probab. Theory Relat. Fields, vol.137, issue.3-4, pp.487-518, 2007. ,
Intrinsic Parameterizations of Surface Meshes, Computer Graphics Forum, vol.72, issue.1, pp.209-218, 2002. ,
DOI : 10.1111/1467-8659.00580
Discrete differential forms for computational modeling, SIGGRAPH '06: ACM SIGGRAPH 2006 Courses, pp.39-54, 2006. ,
Integrable lattices and their sublattices: From the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme, Journal of Mathematical Physics, vol.48, issue.1, p.13513, 2007. ,
DOI : 10.1063/1.2406056
Basic properties of discrete analytic functions. Duke Math, J, vol.23, pp.335-363, 1956. ,
Potential theory on a rhombic lattice, Journal of Combinatorial Theory, vol.5, issue.3, pp.258-272, 1968. ,
DOI : 10.1016/S0021-9800(68)80072-9
Geometry of the triangle equation on two-manifolds, Mosc. Math. J, vol.3, issue.742, pp.419-438, 2003. ,
Fonctions préharmoniques et fonctions préholomorphes, Bull. Sci. Math, vol.68, issue.2, pp.152-180, 1944. ,
Shape Analysis Using the Auto Diffusion Function, Computer Graphics Forum, vol.33, issue.2009, pp.1405-1413 ,
DOI : 10.1111/j.1467-8659.2009.01517.x
Global conformal surface parameterization, SGP '03: Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing, pp.127-137, 2003. ,
Complete minimal surfaces in s 3, Ann. of Math, issue.92, pp.335-374, 1970. ,
Transformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic space, manuscripta mathematica, vol.102, issue.4, pp.465-486, 2000. ,
DOI : 10.1007/s002290070037
Discrete cmc surfaces and discrete holomorphic maps, Discrete integrable geometry and physics, pp.97-112, 1996. ,
Discrete Hashimoto Surfaces and a Doubly Discrete Smoke-Ring Flow, Discrete differential geometry, pp.95-115, 2008. ,
DOI : 10.1007/978-3-7643-8621-4_5
On discrete differential geometry and its links to visualization In Consortium Math for Industry " First Forum, COE Lect. Note Kyushu Univ. Fac. Math, vol.12, pp.45-51, 2008. ,
Optimal global conformal surface parameterization, IEEE Visualization 2004, pp.267-274, 2004. ,
DOI : 10.1109/VISUAL.2004.75
The Laplacian and Dirac operators on critical planar graphs, Inventiones mathematicae, vol.150, issue.2, pp.409-439, 2002. ,
DOI : 10.1007/s00222-002-0249-4
Rhombic embeddings of planar quad-graphs, Transactions of the American Mathematical Society, vol.357, issue.09, pp.3443-3458, 2005. ,
DOI : 10.1090/S0002-9947-04-03545-7
Discrete conformal mappings via circle patterns, ACM Transactions on Graphics, vol.25, issue.2, pp.412-438, 2006. ,
DOI : 10.1145/1138450.1138461
Functions on discrete sets holomorphic in the sense of Ferrand, or monodiffric functions of the second kind, Science in China Series A: Mathematics, vol.24, issue.2, pp.604-619, 2008. ,
DOI : 10.1007/s11425-007-0192-3
Statistics of the Two-Dimensional Ferromagnet. Part I, Physical Review, vol.60, issue.3, pp.252-262, 1941. ,
DOI : 10.1103/PhysRev.60.252
Universality and conformal invariance for the Ising model in domains with boundary, Journal of Statistical Physics, vol.98, issue.1/2, pp.131-244, 2000. ,
DOI : 10.1023/A:1018674822185
Conformal Invariance Of Planar Loop-Erased Random Walks and Uniform Spanning Trees, Ann. Probab, vol.32, issue.1B, pp.939-995, 2004. ,
DOI : 10.1007/978-1-4419-9675-6_30
Fast estimation of mean curvature on the surface of a 3D discrete object, DGCI '97: Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery, pp.175-186, 1997. ,
DOI : 10.1007/BFb0024839
Fast computation of the normal vector field of the surface of a 3-D discrete object, Discrete geometry for computer imagery, pp.101-112, 1996. ,
DOI : 10.1007/3-540-62005-2_9
URL : https://hal.archives-ouvertes.fr/hal-00965759
A Discrete Radiosity Method, Discrete geometry for computer imagery, pp.428-438, 2002. ,
DOI : 10.1007/3-540-45986-3_38
URL : https://hal.archives-ouvertes.fr/hal-01183723
Darboux transformations, covariance theorems and integrable systems. In L. D. Faddeev's Seminar on Mathematical Physics, Amer. Math. Soc. Transl. Ser, vol.201, issue.2, pp.179-209, 2000. ,
Ising field theory: quadratic difference equations for the n-point Green's functions on the lattice, Phys. Rev. Lett, vol.46, issue.12, pp.757-760, 1981. ,
Direct linearization of nonlinear difference-difference equations, Physics Letters A, vol.97, issue.4, pp.125-128, 1983. ,
DOI : 10.1016/0375-9601(83)90192-5
On Discrete Painleve Equations Associated with the Lattice KdV Systems and the Painleve VI Equation, Studies in Applied Mathematics, vol.106, issue.3, pp.261-314, 2001. ,
DOI : 10.1111/1467-9590.00167
Paths on Coxeter Diagrams: From Platonic Solids and Singularities to Minimal Models and Subfactors. Lectures on Operator Theory, 1995. ,
series, Journal of Physics A: Mathematical and General, vol.20, issue.4, pp.217-220, 1987. ,
DOI : 10.1088/0305-4470/20/4/007
URL : https://hal.archives-ouvertes.fr/hal-01134364
Two-dimensional critical systems labelled by Dynkin diagrams, Nuclear Physics B, vol.285, issue.1, pp.162-172, 1987. ,
DOI : 10.1016/0550-3213(87)90332-4
Quadratic identities for Ising model correlations, Physics Letters A, vol.79, issue.1, pp.3-5, 1980. ,
DOI : 10.1016/0375-9601(80)90299-6
Generalised twisted partition functions, Physics Letters B, vol.504, issue.1-2, pp.157-164, 2001. ,
DOI : 10.1016/S0370-2693(01)00276-3
URL : https://hal.archives-ouvertes.fr/hal-00087481
The many faces of Ocneanu cells, Nuclear Physics B, vol.603, issue.3, pp.449-496, 2001. ,
DOI : 10.1016/S0550-3213(01)00096-7
URL : https://hal.archives-ouvertes.fr/hal-00087581
Conformal Field Theories, Graphs and Quantum Algebras, MathPhys odyssey, pp.415-435, 2001. ,
DOI : 10.1007/978-1-4612-0087-1_15
URL : https://hal.archives-ouvertes.fr/hal-00131589
Computing Discrete Minimal Surfaces and Their Conjugates, Experimental Mathematics, vol.3, issue.1, pp.15-36, 1993. ,
DOI : 10.2307/1970625
models, Journal of Physics A: Mathematical and Theoretical, vol.40, issue.49, pp.14703-14713, 2007. ,
DOI : 10.1088/1751-8113/40/49/006
Géométrie discrète, Calcul en nombres entiers et algorithmique, 1991. ,
Correlation functions for the Z-invariant Ising model, Physics Letters A, vol.227, issue.3-4, pp.203-208, 1997. ,
DOI : 10.1016/S0375-9601(97)00057-1
Integrable lattice realizations of N=1 superconformal boundary conditions, Nuclear Physics B, vol.631, issue.3, pp.447-470, 2002. ,
DOI : 10.1016/S0550-3213(02)00234-1
Fermat's quartic curve, Klein's curve and the tetrahedron, Extremal Riemann surfaces, pp.43-62, 1995. ,
Circle patterns with the combinatorics of the square grid. Duke Math, J, vol.86, issue.2, pp.347-389, 1997. ,
Topics in complex function theory Wiley Classics Library Automorphic functions and abelian integrals, Translated from the German by A. Shenitzer and M. Tretkoff, With a preface by Wilhelm Magnus, 1988. ,
Period matrices and the Schottky problem, Topics on Riemann surfaces and Fuchsian groups, pp.155-163, 1998. ,
DOI : 10.1017/CBO9780511569272.010
Genus 2 translation surfaces with an order 4 automorphism, Contemp. Math, vol.397, pp.207-213 ,
DOI : 10.1090/conm/397/07474
Critical percolation and conformal invariance, XIVth International Congress on Mathematical Physics, pp.99-112, 2005. ,
DOI : 10.1142/9789812704016_0009
Towards conformal invariance of 2D lattice models, International Congress of Mathematicians, pp.1421-1451, 2006. ,
DOI : 10.4171/022-2/68
Conformal equivalence of triangle meshes, SIGGRAPH '08: ACM SIGGRAPH 2008 papers, pp.1-11, 2008. ,
A Concise and Provably Informative Multi-Scale Signature Based on Heat Diffusion, Computer Graphics Forum, vol.21, issue.6, pp.1383-1392 ,
DOI : 10.1111/j.1467-8659.2009.01515.x
Designing quadrangulations with discrete harmonic forms, Symposium on Geometry Processing, pp.201-210, 2006. ,
Discrete Differential Operators on Polyhedral Surfaces -Convergence and Approximation, 2006. ,
Counterexample to a conjecture of H, Hopf. Pacific J. Math, vol.121, issue.1, pp.193-243, 1986. ,