Based on the works by Kajiwara, Noumi and Yamada, we propose a canonically quantized version of the rational Weyl group representation which originally arose as “symmetries” or the Bäcklund transformations in Painlevé equations. We thereby propose a quantization of discrete Painlevé VI equation as a discrete Hamiltonian flow commuting with the action of W (D (1) 4 ). 1

A consistent, local coordinate formulation of covariant Hamiltonian field theory is presented. Whereas the covariant canonical field equations are equivalent to the EulerLagrange field equations, the covariant canonical transformation theory offers more general means for defining mappings that preserve the form of the field equations than the usual Lagrangian description. It is proved that Pois...

The well-known gyrokinetic problem regards the perturbative expansion related to the dynamics of a charged particle subject to fast gyration motion due to the presence of a strong magnetic field. Although a variety of approaches have been formulated in the past to this well known problem, surprisingly a purely canonical approach based on Lie transform methods is still missing. This paper aims t...

We show that the Kähler-Ricci flow on an algebraic manifold of positive Kodaira dimension and semi-ample canonical line bundle converges to a unique canonical metric on its canonical model. It is also shown that there exists a canonical measure of analytic Zariski decomposition on an algebraic manifold of positive Kodaira dimension. Such a canonical measure is unique and invariant under biratio...

This document introduces the FCAST reliable object (e.g., file) delivery application. It is designed to operate either on top of the underlying Asynchronous Layered Coding (ALC) / Layered Coding Transport (LCT) reliable multicast transport protocol or the NACKOriented Reliable Multicast (NORM) transport protocol.

F. Robert, S. Derenne, G. Lombardi, K. Hassouni, A. Michau, P. Reinhardt, R. Duhamel, A. Gonzalez, K. Biron. (1) Muséum/CNRS UMR-7590 61 rue Buffon / Case 52 75005 Paris, France. [email protected] (2) UPMC/CNRS UMR CNRS 7619 METIS, Case courrier 105, 4, place Jussieu 75252 Paris France. (3) Univ.Paris 13 LSPM CNRS/UPR 3407 99 Ave. J.-B. Clément, 93430 Villetaneuse, France. (4) UPMC/CNRS – LCT. 4 p...

Subject of the present paper is the study and construction of complete independent invariants and canonical forms for linear multivariable systems under the action of orthogonal transformation groups. Stable computational algorithms for finding the orthogonal canonical forms are presented and their numerical properties are discussed. In view of their nice numerical properties the orthogonal can...

We describe the “action-angle” integrable system underlying the structure of double-extremal black holes. This implies the existence of a canonical transformation from BPS to non-BPS black holes. We give examples of such canonical transformation for STU and for E7(7)-invariant black holes. ∗ Email: [email protected]