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AVERAGING OF HAMILTONIAN FLOWS WITH AN ERGODIC COMPONENT
ERGODIC COMPONENT Unperturbed flow
2015/9/29
We consider a process on T2, which consists of fast motion along the
stream lines of an incompressible periodic vector field perturbed by white
noise. It gives rise to a process on the graph n...
Invariant functions on Lie groups and Hamiltonian flows ofsurface group representations
Lie groups Hamiltonian flows
2015/9/29
In [7] it wasshown that ifn isthe fundamental group ofa closed oriented surface S
and Gis Lie group satisfying very general conditions, then the space Hom(n, G)/G
of conjugacy classes of representat...
Averaging of Hamiltonian Flows with an Ergodic Component
Rapid movement white noise the vector field perturbation function
2015/9/28
We consider a process on T 2, which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise to a process on the grap...
Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity
Piecewise Linear Hamiltonian Flows Zero-Sum Games
2010/11/15
In this paper we consider a class of piecewise affine Hamiltonian vector fields whose orbits are piecewise straight lines. We give a first classification result of such systems and show that the orbit...
Chaotic Maps, Hamiltonian Flows, and Holographic Methods
Chaotic Maps Hamiltonian Flows Holographic Methods
2010/4/1
Holographic functional methods are introduced as probes of discrete time-stepped maps that lead to chaotic behavior. The methods provide continuous time interpolation between the time steps, thereby r...