The paper provides a survey of known results on geometric aspects related to Nambu-Poisson brackets.

Article history: Received 11 September 2013 Received in revised form 3 May 2014 Accepted 3 July 2014 Available online 16 July 2014

We propose an original approximation method, which is based on the Stein’s method and the zero bias transformation, to calculate CDO tranches in the general factor framework. We establish first-order correction terms for the Gaussian and the Poisson approximations respectively and we estimate the approximation errors. The application to the CDOs pricing consists of combining the two approximati...

We study the dynamics defined by the Boltzmann equation set in the Euclidean space R in the vicinity of global Maxwellians with finite mass. A global Maxwellian is a special solution of the Boltzmann equation for which the collision integral vanishes identically. In this setting, the dispersion due to the advection operator quenches the dissipative effect of the Boltzmann collision integral. As...

The thermal ray theory is applied to the expérimental thermal scan on a razor blade. Good magnitude agreemettt is obtained using a far-field ray formula provided correction is made for the Boltzmann blackbody radiation law. The effect of conductivity variation with température is found to be small.

In [Phys. Rev. Lett. 98, 061102 (2007)], we announced the complete integrability of geodesic motion in the general higher-dimensional rotating black-hole spacetimes. In the present paper we prove all the necessary steps leading to this conclusion. In particular, we demonstrate the independence of the constants of motion and the fact that they Poisson commute. The relation to a different set of ...

Article history: Received 23 May 2016 Received in revised form 14 February 2017 Accepted 24 March 2017 Available online 29 March 2017

Burgers equation is a simplified form of the Navier-Stokes equation that represents the non-linear features of it. In this paper, the transient two-dimensional non-linear Burgers equation is solved using the Lattice Boltzmann Method (LBM). The results are compared with the Modified Local Crank-Nicolson method (MLCN) and exact solutions. The LBM has been emerged as a new numerical method for sol...

Xiaoyi He1,2,* and Li-Shi Luo Center for Nonlinear Studies, MS-B258, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 Complex Systems Group T-13, MS-B213, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 ICASE, MS 403, NASA Langley Research Center, 6 North Dryden Street, Building 1298, Hampton, Virginia 23681-0001 ~Received 29 April 1997; revised ma...

A quantum kinetic equation for strongly interacting particles (generalized binary collision approximation, ladder or T-matrix approximation) is derived in the framework of the density operator technique. In contrast to conventional kinetic theory, which is valid on time scales large as compared to the collision (correlation) time only, our approach retains the full time dependencies, especially...