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Concept

Transformation canonique

Publications associées (26)

Geometry of nonabelian charged fluids

Tudor Ratiu, François Gay-Balmaz

The goal of this paper is to derive the Hamiltonian structure of polarized and magnetized Euler-Maxwell fluids by reduction of the canonical symplectic form on phase space, and to generalize the dynamics to the nonabelian case. The Hamiltonian function we ...

2011

Scale-invariant alternatives to general relativity

Mikhail Chapochnikov, Diego Blas Temino, Daniel Zenhäusern

We study the general class of gravitational field theories constructed on the basis of scale invariance (and therefore absence of any mass parameters) and invariance under transverse diffeomorphisms, which are the 4-volume conserving coordinate transformat ...

American Physical Society2011

A general basis for quarter-power scaling in animals

Andrea Rinaldo, Amos Maritan

It has been known for decades that the metabolic rate of animals scales with body mass with an exponent that is almost always 2/3, and often very close to 3/4. The 3/4 exponent emerges naturally from two models of resource distribution networks, radia ...

National Academy of Sciences2010

A Note On The Dai-Singleton Canonical Representation Of Affine Term Structure Models

Damir Filipovic

Dai and Singleton (2000) study a class of term structure models for interest rates that specify the short rate as an affine combination of the components of an N-dimensional affine diffusion process. Observable quantities in such models are invariant under ...

Wiley-Blackwell2010

The Momentum Map In Poisson Geometry

Tudor Ratiu, Juan-Pablo Ortega

Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum map. We study various properties of this momentum map as well as its use in reduction. ...

2009

Geodesic Vlasov Equations And Their Integrable Moment Closures

Cesare Tronci

Various integrable geodesic flows on Lie groups are shown to arise by taking moments of a geodesic Vlasov equation on the group of canonical transformations. This was already known for both the one- and two-component Camassa-Holm systems [18, 19]. The pres ...

2009

Publications associées (26)