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 


Mon étudiant en thèse Youssef Abdelaziz

 

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.  

 

 

 

 

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 


Mon étudiant en thèse Youssef Abdelaziz

 

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.  

Images

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Exposés

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

Publications

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

J'aime

J'aime aussi :

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

j'ai aimé

 

J'aime moins

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.

 

Maple

 
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