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. 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. Palm Cove dans le Queensland Australien pour les 75 ans de Rodney Baxter 2015
  5. Newcastle en Nouvelle-Galles du Sud Australienne pour les 70 ans d'Anthony Guttmann 2015
  6. AERES de 2013

 Quelques exposés de mes co-auteurs

  1.  Pushing forward the dimension of fcc lattices 2015
  2. Experimental mathematics on the magnetic susceptibility of the square lattice Ising model   2008 
  3. Computer Algebra for Lattice Path Combinatorics 2017
  4. Counting planar Eulerian orientations 2017
  5. An Analysis of OEIS Generating Functions 2017
  6. Michael Assis: Atomic Origami
  1. Plea for diagonals and telescopers of rational functions; S. Hassani J.M. Maillard N. Zenine [MDPI]
  2. The lambda extension of the Ising correlation functions C(M,N) par  S. Boukraa et J-M. Maillard [arXiv:2209.07434v2]
  3. Symmetries of non-linear ODES: the lambda extension of the Ising correlations par  S. Boukraa et  J-M. Maillard [MDPI]

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

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

J'aime aussi :

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

j'ai aimé

 

La réduction du travail des chercheurs à des nombres

Pour moi sur ResearchGate c'est : 182 Research items 3221 Reads 1849 Citations RG Score 36.65 h-index 24

L'ANR qui rejète nos projets.

 
 
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