Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Rollet, Geneviève"'
In this paper, we address an alternative formulation for the exact inverse formula of the Radon transform on circle arcs arising in a modality of Compton Scattering Tomography in translational geometry proposed by Webber and Miller (Inverse Problems
Externí odkaz:
http://arxiv.org/abs/2112.01632
In this work we introduce a new Radon transform which arises from a new modality of Compton Scattering Tomography (CST). This new system is made of a single detector rotating around a fixed source. Unlike some previous CST, no collimator is used at t
Externí odkaz:
http://arxiv.org/abs/1912.10797
After an introduction to the general topic of models for a given locus of a diploid population whose quadratic dynamics is determined by a fitness landscape, we consider more specifically the models that can be treated using genetic (or train) algebr
Externí odkaz:
http://arxiv.org/abs/1607.01885
Publikováno v:
Theor. Math. Phys. 178 (2014) 223
New sets of rank n-representations of Temperley-Lieb algebra TL_N(q) are constructed. They are characterized by two matrices obeying a generalization of the complex Hadamard property. Partial classifications for the two matrices are given, in particu
Externí odkaz:
http://arxiv.org/abs/1306.2927
Publikováno v:
SIGMA 8 (2012), 064, 45 pages
A complete classification of non-affine dynamical quantum $R$-matrices obeying the ${\mathcal G}l_n({\mathbb C})$-Gervais-Neveu-Felder equation is obtained without assuming either Hecke or weak Hecke conditions. More general dynamical dependences are
Externí odkaz:
http://arxiv.org/abs/1204.2746
The general solutions of the reflection equation associated with Temperley-Lieb $R$-matrices are constructed. Their parametrization is defined and the Hamiltonians of corresponding integrable spin systems are given.
Comment: 11 pages, no figures
Comment: 11 pages, no figures
Externí odkaz:
http://arxiv.org/abs/1012.3012
Autor:
Avan, Jean, Rollet, Genevieve
Publikováno v:
J. Avan and G. Rollet, JMP, 50, 072701 (2009)
New classical integrable systems of Camassa-Holm peakon type are proposed. They realize the maximal even piecewise-D_2 generalization of the Calogero-Francoise flows, yielding periodic and pseudoperiodic trigonometric/hyperbolic potentials. The assoc
Externí odkaz:
http://arxiv.org/abs/0905.1810
Autor:
Avan, Jean, Rollet, Geneviève
We construct sets of structure matrices for the semi-dynamical reflection algebra, solving the Yang-Baxter type consistency equations extended by the action of an automorphism of the auxiliary space. These solutions are parametrized by dynamical conj
Externí odkaz:
http://arxiv.org/abs/math/0611184
Autor:
Avan, Jean, Rollet, Genevieve
We propose a classification of the solutions K to the semi-dynamical reflection equation with constant rational structure matrices associated to rational scalar Ruijsenaars-Schneider model. Four sets of solutions are identified and simple analytic tr
Externí odkaz:
http://arxiv.org/abs/nlin/0511067
Publikováno v:
J.Math.Phys. 46 (2005) 083516
Consistent tensor products on auxiliary spaces, hereafter denoted "fusion procedures", are defined for general quadratic algebras, non-dynamical and dynamical, inspired by results on reflection algebras. Applications of these procedures then yield in
Externí odkaz:
http://arxiv.org/abs/math/0403246