J. Maillard

发表

Square lattice Ising model susceptibility: connection matrices and singular behaviour of χ (3) and χ (4)

N. Zenine, S. Boukraa, S. Hassani, 2005, math-ph/0506065.

Ising n-fold integrals as diagonals of rational functions and integrality of series expansions: integrality versus modularity

A. Bostan, A. Bostan, S. Boukraa, 2012, 1211.6031.

Globally nilpotent differential operators and the square Ising model

A. Bostan, Jacques-Arthur Weil, A. Bostan, 2008, 0812.4931.

Heun functions and diagonals of rational functions

C. Koutschan, Y. Abdelaziz, S. Boukraa, 2019, Journal of Physics A: Mathematical and Theoretical.

Diagonals of rational functions: from differential algebra to effective algebraic geometry (unabridged version)

C. Koutschan, Y. Abdelaziz, S. Boukraa, 2020, 2002.00789.

Diagonals of rational functions, pullbacked 2F1 hypergeometric functions and modular forms

C. Koutschan, Y. Abdelaziz, S. Boukraa, 2018, Journal of Physics A: Mathematical and Theoretical.

Diagonals of rational functions, pullbacked 2 F 1 hypergeometric functions and modular forms (unabrigded version)

C. Koutschan, Y. Abdelaziz, S. Boukraa, 2018 .

The perimeter generating functions of three-choice, imperfect, and one-punctured staircase polygons

M. V. Hoeij, J. Maillard, M. Assis, 2016, 1602.00868.

Holonomy of the Ising model form factors

B. McCoy, N. Zenine, S. Boukraa, 2006, math-ph/0609074.

The hard hexagon partition function for complex fugacity

B. McCoy, I. Jensen, J. Maillard, 2013, 1306.6389.

The Adler-van Moerbeke model. Lax representation and poisson structure

J. Maillard, J. Avan, M. Talon, 1990 .

0 60 20 10 v 3 8 J un 2 00 6 Painlevé versus Fuchs ‡

B. McCoy, Jacques-Arthur Weil, N. Zenine, 2020 .

Painleve versus Fuchs

B. McCoy, Jacques-Arthur Weil, N. Zenine, 2006, math-ph/0602010.

Rigorous bounds and the replica method for products of random matrices

A. Georges, P. L. Doussal, D. Hansel, 1986 .

Singularities of n-fold integrals of the Ising class and the theory of elliptic curves

N. Zenine, S. Boukraa, S. Hassani, 2007, 0706.3367.

Lattice Green functions: the d-dimensional face-centered cubic lattice, d = 8, 9, 10, 11, 12

C. Koutschan, N. Zenine, S. Hassani, 2016, 1601.05657.

Automata and the susceptibility of the square lattice Ising model modulo powers of primes

A. Guttmann, J. Maillard, 2015, 1507.02872.

Selected non-holonomic functions in lattice statistical mechanics and enumerative combinatorics

S. Boukraa, J. Maillard, 2015, 1510.04651.

Canonical decomposition of irreducible linear differential operators with symplectic or orthogonal differential Galois groups

Jacques-Arthur Weil, S. Boukraa, S. Hassani, 2014, 1407.5541.

Diagonals of rational functions and selected differential Galois groups

Jacques-Arthur Weil, A. Bostan, S. Boukraa, 2015, 1507.03227.

Lattice Green functions: the seven-dimensional face-centred cubic lattice

N. Zenine, S. Hassani, J. Maillard, 2014, 1409.8615.

Differential algebra on lattice Green functions and Calabi–Yau operators

Jacques-Arthur Weil, S. Boukraa, S. Hassani, 2013, 1311.2470.

Holonomic functions of several complex variables and singularities of anisotropic Ising n-fold integrals

S. Boukraa, S. Hassani, J. Maillard, 2012, 1207.1784.

The Ising model: from elliptic curves to modular forms and Calabi–Yau equations

Jacques-Arthur Weil, A. Bostan, M. V. Hoeij, 2010, 1007.0535.

From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curves

N. Zenine, S. Boukraa, S. Hassani, 2007, 0710.2756.

The Fuchsian differential equation of the square lattice Ising model χ (3) susceptibility

N. Zenine, S. Boukraa, S. Hassani, 2004, math-ph/0407060.

Ising model susceptibility: the Fuchsian differential equation for χ (4) and its factorization properties

N. Zenine, S. Boukraa, S. Hassani, 2005, cond-mat/0502155.

The diagonal Ising susceptibility

B. McCoy, N. Zenine, S. Boukraa, 2007, math-ph/0703009.

A birational mapping with a strange attractor: post-critical set and covariant curves

S. Hassani, J. Maillard, M. Bouamra, 2009, 0906.2542.

Beyond series expansions: mathematical structures for the susceptibility of the square lattice Ising model

N. Zenine, S. Boukraa, S. Hassani, 2005, hep-th/0509187.

Differential algebra on lattice green and calabi-yau operators

Jacques-Arthur Weil, S. Boukraa, S. Hassani, 2018 .

Is the full susceptibility of the square-lattice Ising model a differentially algebraic function?

I. Jensen, A. Guttmann, J. Pantone, 2016, 1607.04168.

Holonomy of the Ising model form factors

B. McCoy, N. Zenine, S. Boukraa, 2006, math-ph/0609074.

Scaling functions in the square Ising model

S. Hassani, J. Maillard, 2014, 1410.6927.

Factorization of Ising correlations C(M, N) for ν = −k and M + N odd, M ⩽ N, T < T c and their lambda extensions

B. McCoy, S. Boukraa, J. Maillard, 2022, Journal of Physics A: Mathematical and Theoretical.

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

B. McCoy, S. Boukraa, J. Maillard, 2020, Journal of Physics A: Mathematical and Theoretical.

2 0 A ug 2 02 0 The Ising correlation C ( M , N ) for ν = − k

B. McCoy, S. Boukraa, J. Maillard, 2020 .

Painleve versus Fuchs

B. McCoy, Jacques-Arthur Weil, N. Zenine, 2006, math-ph/0602010.

F eb 2 01 6 The perimeter generating functions of three-choice , imperfect , and 1-punctured staircase polygons

M. V. Hoeij, J. Maillard, M. Assis, 2018 .

Rational dynamical zeta functions for birational transformations

J. A. d'Auriac, S. Boukraa, S. Hassani, 1998, chao-dyn/9807014.

Functional relations in lattice statistical mechanics, enumerative combinatorics, and discrete dynamical systems

S. Boukraa, J. Maillard, J. Anglès d’Auriac, 1999 .

TOWARDS THREE-DIMENSIONAL BETHE ANSATZ

S. Boukraa, J. Maillard, C. Viallet, 1993, hep-th/9305015.

ON THE SYMMETRIES OF INTEGRABILITY

J. Maillard, C. Viallet, M. Bellon, 1991, hep-th/9112067.

On Christol’s conjecture

C. Koutschan, Y. Abdelaziz, J. Maillard, 2019, Journal of Physics A: Mathematical and Theoretical.

Random matrix theory in lattice statistical mechanics

J. A. d'Auriac, J. Maillard, 2002, cond-mat/0209679.

A comment on free-fermion conditions for lattice models in two and more dimensions

J. Maillard, C. Viallet, 1996, hep-th/9603162.

The lambda extensions of the Ising correlation functions C(M, N)

S. Boukraa, J. Maillard, 2022, 2209.07434.

Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi–Yau equations

B. McCoy, M. V. Hoeij, S. Boukraa, 2011, 1110.1705.

Symmetry, complexity and multicritical point of the two-dimensional spin glass

H. Nishimori, K. Nemoto, J. Maillard, 2003, cond-mat/0306154.

A classification of four-state spin edge Potts models

J. A. d'Auriac, J. Maillard, C. Viallet, 2002, cond-mat/0209557.

Susceptibility of the checkerboard Ising model

D. Dhar, J. Maillard, 1985 .

Post-critical set and non-existence of preserved meromorphic 2-forms

S. Boukraa, S. Hassani, J. Maillard, 2005, nlin/0505024.

Deformations of Dynamics Associated to the Chiral Potts Model

J. Maillard, G. Rollet, C. Viallet, 1992, hep-th/9207116.

Symmetries of models with genus > 1

D. Hansel, J. Maillard, 1988 .

Growth-complexity spectrum of some discrete dynamical systems

S. Boukraa, J. Maillard, N. Abarenkova, 1998, chao-dyn/9807031.

Hyperbolic coxeter groups, symmetry group invariants for lattice models in statistical mechanics and the Tutte-Beraha numbers

J. M. Maillard, J. Maillard, 1997 .

Hyperbolic Coxeter groups for triangular Potts models

J. Maillard, G. Rollet, J M Maillard, 1994 .

Thermal transmissivity in discrete spin systems: formulation and applications

F. Y. Wu, Chin-Kun Hu, J. Maillard, 1992 .

Real topological entropy versus metric entropy for birational measure-preserving transformations

S. Boukraa, J. Maillard, N. Abarenkova, 2000 .

Analyticity of the Ising susceptibility: an interpretation

B. McCoy, I. Jensen, J. Maillard, 2017, 1705.02541.

Phase diagram of a six-state chiral Potts model

J. A. d'Auriac, J. Maillard, G. Rollet, 1994 .

Algebraic properties and symmetries of the symmetric Ashkin-Teller model

P. Rujan, J. Maillard, T. T. Truong, 1985 .

R-matrices and symmetric spaces☆

J. Maillard, J. Avan, M. Talon, 1990 .

Staggered lattice models

D. Hansel, J. Maillard, T. Jolicoeur, 1987 .

Automorphisms of algebraic varieties and Yang-Baxter equations

J. Maillard, 1986 .

Tricritical behavior of the three-state triangular Potts model

F. Y. Wu, J. A. d'Auriac, J. Maillard, 1995 .

RPA approach to disorder points

T. Garel, J. Maillard, 1986 .

A Challenge in Enumerative Combinatorics: The Graph of Contributions of Professor Fa-Yueh Wu (???k??)

J. Maillard, 2002 .

The replica momenta of a spin-glass and the phase diagram of n-colour Ashkin-Teller models

A. Georges, D. Hansel, J. Maillard, 1987 .

Stieltjes moment sequences for pattern-avoiding permutations

A. Guttmann, A. Bostan, J. Maillard, 2020, Electron. J. Comb..

Classical limit for a 3D lattice spin model

J. Maillard, I. Korepanov, S. Sergeev, 1997 .

On the complexity of some birational transformations

J. A. d'Auriac, J. Maillard, C. Viallet, 2005, math-ph/0503074.

Integrable Coxeter groups

J. Maillard, C. Viallet, M. Bellon, 1991 .

Three-dimensional integrable models based on modified tetrahedron equations and quantum dilogarithm

J. Maillard, S. Sergeev, 1997 .

The Importance of the Ising Model

B. McCoy, J. Maillard, Jean-Marie Maillard, 2012, 1203.1456.

The Ising correlation $C(M,N)$ for $\nu=-k$

B. McCoy, S. Boukraa, J. Maillard, 2020, 2008.06912.

The anisotropic Ising correlations as elliptic integrals: duality and differential equations

B. McCoy, J. Maillard, B. M. McCoy, 2016, 1606.08796.

Infinite Discrete Symmetry Group for the Yang-Baxter Equations and their Higher Dimensional Generalizations

J. Maillard, C. Viallet, M. Bellon, 1993 .

Infinite discrete symmetry group for the Yang-Baxter equations : spin models

J. Maillard, C. Viallet, M. Bellon, 1991 .

Square lattice Ising model susceptibility: series expansion method and differential equation for χ(3)

N. Zenine, S. Boukraa, S. Hassani, 2004, hep-th/0411051.

Rigorous bounds for 2D disordered ising models

J. Bouchaud, A. Georges, D. Hansel, 1986 .

Polynomial Growth for Birational Mappings from Four-State Spin Edge Models

J. Maillard, 2003 .

SERIES ANALYSIS OF THE q STATE CHECKERBOARD POTTS MODEL

D. Hansel, J. Maillard, 1988 .

Spin glasses and roughening transition

G. Toulouse, J. Vannimenus, J. Maillard, 1977 .

Three-state chiral Potts models in two dimensions: integrability and symmetry

F. Y. Wu, J. A. d'Auriac, J. Maillard, 1991 .

Study of a two-dimensional fully frustrated model

T. Garel, J. Maillard, 1983 .

The saga of the Ising susceptibility

B. McCoy, N. Zenine, S. Boukraa, 2010, 1003.0751.

Symmetries of Non-Linear ODEs: Lambda Extensions of the Ising Correlations

S. Boukraa, J. Maillard, 2022, Symmetry.

Fa-Yueh Wu's contributions in physics

J. Maillard, 2003 .

Zeroes of the triangular Potts model partition function: a conjectured distribution

F. Y. Wu, J. A. d'Auriac, J. Maillard, 1994 .

Disorder solutions for Ising and Potts models with a field

J. Maillard, M. Jaekel, 1985 .

S4-symmetry on the checkerboard Potts model

R. Rammal, J. Maillard, 1985 .

Star-Triangle and Inversion Relations in Statistical Mechanics

J. Maillard, 1985 .

Inversion relations and disorder solutions on Potts models

J. Maillard, M. Jaekel, 1984 .

Some analytical consequences of the inverse relation for the Potts model

R. Rammal, J. Maillard, 1983 .

Discrete symmetry groups of vertex models in statistical mechanics

S. Boukraa, J. Maillard, G. Rollet, 1995 .

Inversion relations and symmetry groups for Potts models on the triangular lattice

G. Rollet, F. Y. Wu, J. Maillard, 1994 .

An exact critical frontier for the Potts model on the 3-12 lattice

F. Y. Wu, J. Maillard, G. Rollet, 1993 .

Zeros of the partition function for the triangular lattice three-state Potts model

J. Maillard, P. Martin, Paul Martin, 1986 .

q-state Potts model on the checkerboard lattice

R. Rammal, J. Maillard, 1983 .

Symmetry Relations in Exactly Soluble Models

J. Maillard, M. Jaekel, 1982 .

An α=1/2 singularity in the vicinity of a disorder variety and its random walk interpretation

A. Georges, D. Hansel, J. Maillard, 1986 .

Analytical properties of the anisotropic cubic Ising model

J. Oitmaa, D. Hansel, J. Maillard, 1987 .

Inverse functional relations for lattice models

J. Maillard, M. Jaekel, 1983 .

A criterion for disorder solutions of spin models

J. Maillard, M. Jaekel, 1985 .

A disorder solution for a cubic Ising model

J. Maillard, M. Jaekel, 1985 .

Factorization of the Ising model form factors

B. McCoy, J. Maillard, M. Assis, 2011, 1103.0933.

Large q expansion for the anisotropic Potts model

J. Maillard, M. Jaekel, 1982 .

The inversion relation

J. Maillard, 1985 .

From integrability to weak chaos

S. Boukraa, J. Maillard, G. Rollet, 1994 .

Integrable mappings and polynomial growth

S. Boukraa, J. Maillard, G. Rollet, 1994, hep-th/9403044.

Quasi integrability of the sixteen-vertex model

J. Maillard, C. Viallet, M. Bellon, 1992 .

Infinite discrete symmetry group for the Yang-Baxter equations. Vertex models

J. Maillard, C. Viallet, M. Bellon, 1991 .

Let's Baxterise

S. Boukraa, J. Maillard, 2000, hep-th/0003212.

Higher dimensional mappings

J. Maillard, C. Viallet, M. Bellon, 1991 .

Birational mappings and matrix subalgebra from the chiral Potts model

J. Maillard, J. A. d'Auriac, E. Preissmann, 2008, 0802.1329.

New integrable cases of a Cremona transformation: a finite-order orbits analysis

S. Boukraa, S. Hassani, J. Maillard, 1997 .

More integrable birational mappings

J. A. d'Auriac, J. Maillard, N. Abarenkova, 1997 .

Factorization properties of birational mappings

S. Boukraa, J. Maillard, 1995 .

Integrable mappings from matrix transformations and their singularity properties

A. Ramani, B. Grammaticos, J. Maillard, 1994 .

Degree Complexity of a Family of Birational Maps

J. Maillard, E. Bedford, Kyounghee Kim, 2007, 0711.1186.

Algebraic invariants in soluble models

J. Maillard, M. Jaekel, 1983 .

Modular forms, Schwarzian conditions, and symmetries of differential equations in physics

Y. Abdelaziz, J. Maillard, 2016, 1611.08493.

The Ising model and special geometries

S. Boukraa, S. Hassani, J. Maillard, 2014, 1402.6291.

Renormalization, isogenies and rational symmetries of differential equations

Jacques-Arthur Weil, A. Bostan, N. Zenine, 2009, 0911.5466.

Necessary versus sufficient conditions for exact solubility of statistical models on lattices

J. Maillard, P. Lochak, 1986 .

Symmetries of lattice models in statistical mechanics and eitective algebraic geometry

S. Boukraa, J. Maillard, 1993 .

On the phase diagram of the chiral Potts model

D. Hansel, J. A. d'Auriac, J. Maillard, 1989 .

Integrability versus non-integrability: hard hexagons and hard squares compared

B. McCoy, I. Jensen, J. Maillard, 2014, 1406.5566.

Singularities of n-fold integrals

N. Zenine, S. Boukraa, S. Hassani, 2007 .

Experimental mathematics on the magnetic susceptibility of the square lattice Ising model

I. Jensen, A. Guttmann, B. Nickel, 2008, 0808.0763.

Differential Galois groups of high order Fuchsian ODE's

N. Zenine, S. Boukraa, S. Hassani, 2005, math-ph/0510035.

Dimensional reduction and correlation functions on 3D lattice models

A. Georges, D. Hansel, J. Maillard, 1987 .

The vicinity of the disorder varieties: a systematic expansion

A. Georges, D. Hansel, J. Maillard, 1986 .

The Fuchsian differential equation of the square lattice Ising model χ (3) susceptibility

N. Zenine, S. Boukraa, S. Hassani, 2004, math-ph/0407060.

Landau singularities and singularities of holonomic integrals of the Ising class

N. Zenine, S. Boukraa, S. Hassani, 2007, math-ph/0701016.

Schwarzian conditions for linear differential operators with selected differential Galois groups

Y. Abdelaziz, J. Maillard, 2017, 1706.07423.

Star exponentials for any ordering of the elements of the inhomogeneous symplectic Lie algebra

J. Maillard, 2004 .

A challenge in enumerative combinatorics: The graph of contribution

J. Maillard, J.-M.Maillard, Fa-Yueh WU, 2002, cond-mat/0205063.

Two numerical investigations of the three-state chiral Potts model

J. A. d'Auriac, J. Maillard, J. Chen, 1993 .

Three-state chiral Potts models on the triangular lattice: a Monte Carlo study

F. Y. Wu, J. A. d'Auriac, J. Maillard, 1991 .

Star exponentials of the elements of the inhomogeneous symplectic Lie algebra

J. Maillard, F. Bayen, 1982 .

Ground-state correlations in the two-dimensional Ising frustration model

J. Vannimenus, J. Maillard, L. D. Sèze, 1979 .

Explicit star products on orbits of nilpotent Lie groups with square integrable representations

J. Maillard, 2007 .

On the twisted convolution product and the Weyl transformation of tempered distributions

J. Maillard, 1986 .

The Ising model: from elliptic curves to modular forms and Calabi–Yau equations

M. V. Hoeij, N. Zenine, S. Boukraa, 2013 .

Ising n-fold integrals as diagonals of rational functions and integrality of series expansions

A. Bostan, S. Boukraa, S. Hassani, 2012, 1211.6645.

Ising n-fold integrals as diagonals of rational functions and integrality of series expansions: integrality versus modularity

S. Boukraa, S. Hassani, J. Maillard, 2012 .

High order Fuchsian equations for the square lattice Ising model:

A. J. Guttmann, A. Bostan, I. Jensen, 2009, 0904.1601.

On Christol’s conjecture

Y. Abdelaziz, J. Maillard, C. Koutschan, 2019, Journal of Physics A: Mathematical and Theoretical.

Real Arnold complexity versus real topological entropy for birational transformations

J. A. d'Auriac, S. Boukraa, S. Hassani, 1999, chao-dyn/9906010.

Topological entropy and Arnold complexity for two-dimensional mappings

J. A. d'Auriac, S. Boukraa, S. Hassani, 1999 .

07 01 4 v 1 9 J ul 1 99 8 Rational dynamical zeta functions for birational transformations

J. Maillard, N. Abarenkova, 2022 .

ALGEBRAIC VARIETIES FOR THE CHIRAL POTTS MODEL

J. Maillard, J. Avan, M. Talon, 1990 .

Interface entropy and phase transitions in frustrated ising systems

B. Derrida, S. Kirkpatrick, J. Vannimenus, 1978 .

Heun functions and diagonals of rational functions (unabridged version)

Y. Abdelaziz, S. Boukraa, J. Maillard, 2019 .

. 10 76 1 v 1 [ m at hph ] 2 3 O ct 2 01 9 Heun functions and diagonals of rational functions ( unabridged version )

S. Boukraa, J. Maillard, C. Koutschan, 2019 .

Modular invariance in lattice statistical mechanics

S. Boukraa, J. Maillard, 2001 .

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

S. Boukraa, J. Maillard, B. M. McCoy, 2020, Journal of Physics A: Mathematical and Theoretical.

Diagonals of Rational Functions: From Differential Algebra to Effective Algebraic Geometry

C. Koutschan, S. Boukraa, J. Maillard, 2022, Symmetry.