Degree Complexity of a Family of Birational Maps (2007)
Bedford, Eric, Kim, Kyounghee, Tuyen, Truong Trung, Abarenkova, Nina, Maillard, Jean-Marie
We compute the degree complexity of a family of birational mappings of the plane with high order singularities.
Boukraa, Salah, Hassani, Saoud, Maillard, Jean-Marie, Zenine, Nadjah
We recall the form factors $ f^{(j)}_{N,N}$ corresponding to the $\lambda$-extension $C(N,N; \lambda)$ of the two-point diagonal correlation function of the Ising model on the square lattice and...
On the complexity of some birational transformations (2007)
Angles D'Auriac, Jean Christian, Maillard, Jean-Marie, Viallet, Claude
Using three different approaches, we analyze the complexity of various birational maps constructed from simple operations (inversions) on square matrices of arbitrary size. The first approach...
On the complexity of some birational transformations (2007)
Angles D'Auriac, Jean Christian, Maillard, Jean-Marie, Viallet, Claude
Using three different approaches, we analyze the complexity of various birational maps constructed from simple operations (inversions) on square matrices of arbitrary size. The first approach...
Salah Boukraa, Saoud Hassani, Jean-Marie Maillard, Nadjah Zenine
We recall the form factors $f^(j)_{N,N}$ corresponding to the $lambda$-extension $C(N,N; lambda)$ of the two-point diagonal correlation function of the Ising model on the square lattice and their...
On the complexity of some birational transformations (2005)
Angles D'Auriac, Jean Christian, Maillard, Jean-Marie, Viallet, Claude
Using three different approaches, we analyze the complexity of various birational maps constructed from simple operations (inversions) on square matrices of arbitrary size. The first approach...
On the complexity of some birational transformations (2005)
Angles D'Auriac, Jean Christian, Maillard, Jean-Marie, Viallet, Claude
Using three different approaches, we analyze the complexity of various birational maps constructed from simple operations (inversions) on square matrices of arbitrary size. The first approach...
On the complexity of some birational transformations (2005)
D'Auriac, Jean Christian Angles, Maillard, Jean-Marie, Viallet, Claude
Using three different approaches, we analyze the complexity of various birational maps constructed from simple operations (inversions) on square matrices of arbitrary size. The first approach...
Symmetry, complexity and multicritical point of the two-dimensional spin glass (2003)
Maillard, Jean-Marie, Nemoto, Koji, Nishimori, Hidetoshi
We analyze models of spin glasses on the two-dimensional square lattice by exploiting symmetry arguments. The replicated partition functions of the Ising and related spin glasses are shown to have...