Laboratoire de Physique Théorique de la Matière Condensée

Maillard Jean-Marie

 

 

 

 

mon CV en PDF / mes Publications en PDF

élu au CA de Sorbonne Université
élu au Conseil de la FSI
ex-Représentant du personnel au CHSCT,  ex-Membre de la commission des libertés syndicales
ex élu à l'UFR de Physique de l'UPMC,
ex élu à la commission recherche de l'UPMC,  ex-élu au CA de l'UPMC 

 

Algebraic statistical mechanics

Ising model, susceptibility of the Ising model, Yang-Baxter equations, Integrability, lattice statistical mechanics, enumerative combinatorics, birational transformations, dynamical zeta functions, topological entropy,  Diagonals of rational functions, modular forms, modular equations, hypergeometric functions, orthogonal or symplectic differential Galois groups, series with integer coefficients, globally bounded series, differential equations Derived From Geometry, globally nilpotent operators, Calabi-Yau operators, Orphan Calabi-Yau operators, Hilbert modular form.  

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Mes exposés  (pris au hasard ..) 

 

  1. From Baxter's model to modular correspondences and differentially algebraic globally nbounded series
  2. Dedicated to Anthony Guttmann: a marathon runner of enumerative combinatorics
  3. Palm Cove dans le Queensland Australien pour les 75 ans de Rodney Baxter 2015
  4. Newcastle en Nouvelle-Galles du Sud Australienne pour les 70 ans d'Anthony Guttmann 2015
  5. AERES de 2013

 Quelques exposés de mes co-auteurs

  1. Diagonal of Rational Functions  par Christoph Koutschan - 2020
  2. Ising correlation C(M,N) for nu = -k  par  Barry Mc Coy - 2020
  3. Counting lattice walks by winding angle using Jacobi Theta functions par Andrew Elwey Price
  4.  Pushing forward the dimension of fcc lattices 2015
  5. Experimental mathematics on the magnetic susceptibility of the square lattice Ising model   2008 
  6. Computer Algebra for Lattice Path Combinatorics 2017
  7. Counting planar Eulerian orientations 2017
  8. An Analysis of OEIS Generating Functions 2017
  9. Michael Assis: Atomic Origami
  1. Modular correspondences and replicable functions (unabridged version)
  2. Modular correspondences and replicable functions
  3. On the diagonals of rational functions: the minimal number of variables (unabridged version); S. Hassani J.M. Maillard N. Zenine 
  4. On the diagonals of rational functions: the minimal number of variables ; S. Hassani J.M. Maillard N. Zenine
  5. Plea for diagonals and telescopers of rational functions; S. Hassani J.M. Maillard N. Zenine [MDPI]
  6. The lambda extension of the Ising correlation functions C(M,N) par  S. Boukraa et J-M. Maillard [arXiv:2209.07434v2]
  7. Symmetries of non-linear ODES: the lambda extension of the Ising correlations par  S. Boukraa et  J-M. Maillard [MDPI]

  8. Factorization of Ising correlations C(M, N ) for ν = −k and M + N odd, M ≤ N , T < Tc and their lambda extensions [arXiv]

  9. The Ising correlation C(M, N) for ν = −k
  10. Diagonal of rational functions: from differential algebra to algebraic geometry (MDPI)
  11. Stieltjes moment sequences for pattern avoiding permutations 2020 (Podcast)
  12. Heun functions and diagonal of rational functions (unabridged version)
  13. Heun functions and diagonal of rational functions
  14. Diagonal of rational functions: from differential algebra to algebraic geometry (unabridged version)
  15. Diagonal of rational functions: from differential algebra to algebraic geometry
  16. On Christol's conjecture
  17. Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms  2018
  18. Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms (unabrigded version)  2018
  19. Differential Galois groups of high order Fuchsian ODE’s 2018
  20. Modular forms, Schwarzian conditions, and symmetries of differential equations in physics 2017
  21. Schwarzian conditions for linear differential operators with selected differential Galois groups 2017
  22. Schwarzian conditions for linear differential operators with selected differential Galois groups (unabridged version) 2017
  23. Analyticity of the Ising susceptibility an Interpretation 2017
  24. Selected non-holonomic functions in lattice statistical mechanics and enumerative combinatorics  2016
  25. The perimeter generating functions of threechoice, imperfect, and one-punctured staircase polygons 2016
  26. Lattice Green functions: the d-dimensional face-centered cubic lattice, d = 8, 9, 10, 11, 12 2016
  27. The anisotropic Ising correlations as elliptic integrals: duality and differential equations 2016
  28. Is the full susceptibility of the square-lattice Ising model a differentially algebraic function? 2016
  29. Automata and the susceptibility of the sqaure lattice Ising model modulo powers of primes 2015
  30. Lattice Green functions: the seven-dimensional face-centred cubic lattice    2015
  31. Diagonals of rational functions and selected differential Galois groups 2015
  32. Ising model susceptibility: Fuchsian differential equation for χ(4) and its factorization properties 2015
  33. Scaling functions in the square ising model    2015
  34. Differential algebra on lattice Green functions and Calabi–Yau operators 2014
  35. Canonical decomposition of irreducible linear differential operators with symplectic or orthogonal differential Galois groups 2014
  36. The Ising model and special geometries   2014
  37. Integrability versus non-integrability: hard hexagons and hard squares compared 2014
  38. Hard hexagon partition function for complex fugacity 2013
  39. Ising n-fold integrals as diagonals of rational functions and integrality of series expansions 2013
  40. Differential algebra on lattice Green functions and Calabi-Yau operators (unabridged version)    2013
  41. Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi–Yau equations 2012
  42. Holonomic functions of several complex variables and singularities of anisotropic Ising n-fold integrals 2012
  43. Ising n-fold integrals as diagonals of rational functions and integrality of series expansions: integrality versus modularity 2012 (unabridged version)
  44. Ising n-fold integrals as diagonals of rational functions and integrality of series expansions: integrality versus modularity 2012   
  45. The Importance of the Ising Model   2012
  46. Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi–Yau equations 2011
  47. The Ising model: from elliptic curves to modular forms and Calabi-Yau equations   2011
  48. Factorization of the Ising model form factors 2011
  49. High-order Fuchsian equations for the square lattice Ising model: χ(6) 2010
  50. Square lattice Ising model chi(5) ODE in exact arithmetic    2010
  51. Renormalization, isogenies and rational symmetries of differential equations 2010
  52. High-order Fuchsian equations for the square lattice Ising model: chi(6)  2010
  53. The Saga of the Ising susceptibility    2010
  54. Rational Symmetries of Differential Equations and Renormalization    2010
  55. High order Fuchsian equations for the square lattice Ising model: ˜χ(5) 2009
  56. Globally nilpotent differential operators and the square Ising model 2009
  57. Birational mappings and matrix subalgebra from the chiral Potts model   2009
  58. A birational mapping with a strange attractor: post-critical set and covariant curves 2009
  59. Experimental mathematics on the magnetic susceptibility of the square lattice Ising model 2008
  60. Degree Complexity of a Family of Birational Maps 2008
  61. Singularities of n-fold integrals of the Ising class and the theory of elliptic curves 2007
  62. Fuchs versus Painlevé 2007
  63. Holonomy of the Ising model form factors    2007
  64. The diagonal Ising susceptibility 2007
  65. Landau singularities and singularities of holonomic integrals of the Ising class 2007
  66. Degree Complexity of a Family of Birational Maps 2007
  67. From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curves 2007
  68. Painlev´e versus Fuchs 2006
  69. Holonomy of the Ising model form factors 2006
  70. Beyond series expansions : mathematical structures for the susceptibility of the square lattice Ising model  2006
  71. On the complexity of some birational transformations 2005
  72. Square lattice Ising model susceptibility: connection matrices and singular behaviour of chi(3) and chi(4)    2005
  73. Differential Galois groups of high order  Fuchsian ODE's   2005
  74. Ising model susceptibility: Fuchsian differential equation for chi(4) and its factorization properties     2005
  75. Square lattice Ising model susceptibility: series expansion method and differential equation for chi(3)     2005
  76. The Fuchsian differential equation of the square lattice Ising model χ(3) susceptibility 2004
  77. Representation Theory of Twisted Group Double   2004
  78. Symmetry, complexity and multicritical point of the two-dimensional spin glass 2003
  79. Deformations of Dynaics associated to the Chiral Potts model   2003
  80. Random matrix theory in lattice statistical mechanics   2003
  81. A Classification of the four-state spin edge Potts models   2002
  82. Random Matrix Theory analysis for higher genus integrability : the quantum  chiral Potts model   2002
  83. Gaussian Orthogonal Ensemble for level spacing statistics of the quantum four-state chiral Potts model   2002
  84. Polynomial growth for birational mappings from four-state spin edge models. 2002
  85. Noetherian mappings 2002
  86. A Challenge in Enumerative Combinatorics: The Graph of Contributions of Professor Fa-Yueh Wu      2002
  87. Modular invariance in lattice statistical mechanics 2001
  88. Random matrix theory and higher genus integrability: the quantum chiral Potts model 2001
  89. Real topological entropy versus metric entropy for birational measure-preserving transformations 2000
  90. Let’s Baxterise 2000 & 2001
  91. Real Arnold complexity versus real topological entropy for birational transformations 2000
  92. Growth complexity spectrum of some discrete dynamical systems   1999
  93. Rational dynamical zeta functions for birational transformations    1999
  94. Functional Relations in Lattice Statistical Mechanics, Enumerative Combinaqtorics, and Discrete Dynamical Systems 1999
  95. From Yang-Baxter equations to dynamical zeta functions 1999
  96. Rational dynamical zeta functions for birational transformations 1998
  97. Elliptic curves from finite order recursions or non-involutive permutations for discrete systems and lattice statistical mechanics   1998
  98. Classical limit for a 3D lattice spin model 1997
  99. Hyperbolic Coxeter Groups, Symmetry Group Invariants for Lattice Models in Statistical Mechanics, and the Tutte-Beraha Numbers 1997
  100. Random matrix theory and classical statistical mechanics: vertex models   1997
  101. New integrable cases of a Cremona transformation: a finite-order orbits analysis    1997
  102. More integrable birational mappings   1997
  103. Three-dimensional integrable models based on modified tetrahedron equations and quantum dilogarithm    1997
  104. Directed Compact Lattice Animals, Restricted Partitions of an Integer, and the Infinite-State Potts Model  1996
  105. A comment on free-fermion conditions for lattice models in two and more dimensions   1996
  106. Factorization properties of birational mappings 1995
  107. Tricritical behavior of the three-state triangular Potts model    1995
  108. Phase diagram of a six-state chiral Potts model 1994
  109. Inversion relations and symmetry groups for Potts models on the triangular lattice   1994
  110. Integrable mappings and polynomial growth    1994
  111. Zeroes of the triangular Potts model partition function: a conjectured distribution    1994
  112. From integrability to weak chaos 1994
  113. Hyperbolic Coxeter groups for triangular Potts models   1994
  114. Integrable mappings from matrix transformations and their singularity properties    1994
  115. Phase diagram of a six-state chiral Potts model    1994
  116. A new Approach for lattice Models in Statistical Mechanics 1994
  117. Almost Integrable Mappings 1993
  118. Determinantal Identities on Inntegrable Mappings 1993
  119. Two numerical investigations of the three-state chiral Potts model   1993
  120. Symmetries of lattice models in statistical mechanics and effective algebraic geometry   1993
  121. Towards three-dimensional Bethe ansatz    1993
  122. An exact critical frontier for the Potts model on the 3-12 lattice   1993
  123. Infinite Discrete Symmetry Group 1993
  124. Quasi integrability of the sixteen-vertex model 1992
  125. From Yang-Baxter equations to dynamical zeta functions for birational transformations    1992
  126. DEFORMATIONS OF DYNAMICS ASSOCIATED TO THE CHIRAL POTTS MODEL 1992
  127. Thermal transmissivity in discrete spin systems: formulation and applications 1992
  128. Infinite discrete symmetry group for the Yang—Baxter equations: spin models 1991
  129. Infinite discrete symmetry group for the Yang-Baxter equations. Vertex models 1991
  130. Integrable Coxeter groups    1991
  131. ON THE SYMMETRIES OF INTEGRABILITY 1991
  132. Rational Mappings, Arborescent Iterations, and the Symmetries of Integrability - 1991
  133. Higher dimensional mappings 1991
  134. Quelques remarques sur les équations de Yang-Baxter 1991
  135. The Adler-van Moerbeke model. Lax representation and Poisson structure 1990.
  136. R-matrices and symmetric spaces 1990
  137. New local relations for lattice models 1990
  138. Algebraic varieties for the Chiral potts model 1990
  139. Revue non exhaustive sur les modèles exactement solubles 1990
  140. Comments on the phase diagram of the three and four-state chiral Potts model 1989
  141. On the phase diagram of the chiral Potts model    1989
  142. Step by step Approach of to integrability 1989
  143. Series analysis of the q-state checkerboard Potts model 1988
  144. Symmetries of Models with Genus > 1 - 1988
  145. Dimensional reduction and correlation functions on 3D lattice models   1987
  146. Analytical Properties on the Anisotropic Cubic Ising Model   1987
  147. The replica momenta of a spin-glass and the phase diagram of n-colour Ashkin-Teller models    1987
  148. Staggered lattice models 1987
  149. Variétés algébriques en mécanique statistique  1987
  150. FORMAL CONSTRAINTS ON SERIES ANALYSIS ON THE POTTS MODEL 1987
  151. Series Analysis of Q state checkerboard Potts models 1987
  152. Automorphisms of algebraic varieties and Yang–Baxter equations 1986
  153. Zeros of the partition function for the triangular lattice three-state Potts model    1986
  154. The vicinity of disorder varieties: a systematic expansion    1986
  155. Rigorous bounds and the replica method for products of random matrices   1986
  156. An alpha = 1/2 singularity in the vicinity of the disorder variety and its random walk interpretation 1986
  157. LES TABLES DE PROBABILITE APPLICATION AU TRAITEMENT DES SECTIONS EFFICACES POUR LA NEUTRONIQUE 1986
  158. Probality tables and Gauss quadrature 1986
  159. Disorder Solutions on Spin Models 1986
  160. New exact results for the Potts model    1985
  161. Algebraic properties and symmetries of the symmetric Ashkin-Tellet model 1985
  162. S4-symmetry on the checkerboard Potts model    1985
  163. Susceptibility of the checkerboard Ising model   1985
  164. Disorder solutions for a cubic Ising  model   1985
  165. Disorder solutions for Ising and Potts models with a field   1985
  166. Necessary versus sufficient conditions for exact solubility of statistical models on lattices 1985
  167. A criterion for disorder solutions of spin models 1985
  168. The inversion relation (I) 1985
  169. The inversion relation (II) 1985
  170. Inversion relations and disorder solutions on Potts models 1984
  171. Towards an exhaustive classification of the star-triangle relation II  1984
  172. Towards an exhaustive classification of the star-trinagle relation I  1984
  173. q-state Potts model on the checkerboard lattice 1983
  174. Large q expansion on the anisotropic  Potts model    1983
  175. Inverse functional relations for lattice models 1983
  176. Algebraic Invariants in soluble models 1983
  177. Study of a two-dimensional fully frustrated model   1983
  178. Star-Triangle and Inversion relations in statistical mechanics 1983
  179. RELATIONS D'INVERSE EN MECANIQUE STATISTIQUE 1983
  180. Equations fonctionnelles en mécanique statistique 1983
  181. Relations_Triangle Etoile_En_Mécanique_Statistique CEA_N_2335 1983
  182. Large q expansion for the anisotropic Potts model 1982
  183. Inverse functional relation on the Potts model 1982
  184. Symmetry relations in exactly soluble models 1981
  185. Modèles solubles en mécanique statistique 1981
  186. Ground-state correlations in the two-dimensional Ising frustration model 1979
  187. Modèles Exactement solubles en Physique des Particules 1979
  188. Interface entropy and phase transitions in frustrated Ising systems 1978
  189. Contributions à l'étude des verres de Spin 1978
  190. Spin glasses and roughening transition   1977

J'aime aussi :

"The Death of the Uni": https://www.youtube.com/watch?v=lxykdZLLNLw

j'ai aimé

 
  •  
    A few  xmaple  files  you can download to better understand the calculations and results in the two Ising/Painlevé papers
    of my publication list:
     
    Factorization of Ising correlations C(M, N ) for ν = −k and M + N odd, M ≤ N , T < Tc and their lambda extensions

    The Ising correlation C(M, N) for ν = −k
     
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