87 citations · 877 across the 97 of their papers we have counts for
3 papers · 2 filters
Stochastic variational principles for dissipative equations with advected quantities
Xin Chen, Ana Bela Cruzeiro, Tudor S. Ratiu
This paper presents symmetry reduction for material stochastic Lagrangian systems with advected quantities whose configuration space is a Lie group. Such variational principles yie…
Wigner Measures and Quantum Control
J. E. Gough, T. S. Ratiu, O. G. Smolyanov
We study several examples from quantum control theory in the framework of Wigner functions and measures for infinite dimensional open quantum systems. An axiomatic definition of co…
Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties
Mahouton Norbert Hounkonnou, Partha Guha, Tudor Ratiu
Motivated by the work of Kupershmidt (J. Nonlin. Math. Phys. 6 (1998), 222 --245) we discuss the occurrence of left symmetry in a generalized Virasoro algebra. The multiplication r…