LABORATOIRE DE PHYSIQUE THEORIQUE DE LA MATIERE CONDENSEE

 

 

 

 

mon CV en PDF / mes Publications en PDF

Représentant du personnel au CHSCT,  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

Représentant du personnel au CHSCT,  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.  

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Exposés

Mes exposés  (pris au hasard ..) 

 

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

J'aime

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

j'ai aimé

 

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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.