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Orbit Equivalence and Measured Group Theory
Orbit equivalence Measured group theory von Neumann algebras
2010/11/26
We give a survey of various recent developments in orbit equivalence and measured group theory. This subject aims at studying infinite countable groups through their measure preserving actions.
Chaotic Transport in the Symmetry Crossover Regime with a Spin-orbit Interaction
Gaussian Symplectic Ensemble chaotic quantum transport Gaussian Orthogonal Ensemble
2010/4/6
We study a chaotic quantum transport in the presence of a weak spin-orbit interaction. Our theory covers the whole symmetry crossover regime between time-reversal invariant systems with and without a ...
Periodic orbit analysis at the onset of the unstable dimension variability and at the blowout bifurcation
Periodic orbit analysis blowout bifurcation unstable dimension variability
2010/4/7
Many chaotic dynamical systems of physical interest present a strong form of nonhyperbolicity called unstable dimension variability (UDV), for which the chaotic invariant set contains periodic orbits ...
Periodic-orbit analysis and scaling laws of intermingled basins of attraction in an ecological dynamical system
Periodic-orbit analysis scaling laws ecological dynamical system
2010/4/7
Chaotic dynamical systems with two or more attractors lying on invariant subspaces may, provided certain mathematical conditions are fulfilled, exhibit intermingled basins of attraction: Each basin is...
Lorentz force effects on the orbit of a charged artificial satellite: A new approach
artificial satellite A new approach
2010/9/15
A charged artificial satellite moving relative to a magnetic field accelerates
in a direction perpendicular to its velocity and the magnetic field due to the Lorentz
force. The geomagnetic field is ...
Codimension-3 bifurcations of an orbit-flip homoclinic orbit with resonant principal eigenvalues are studied for a four-dimensional system. The existence, number, co-existence and non-coexistence of 1...
The action of Ashtekar's generalized gauge group $\Gb$ on the space $\Ab$ of generalized connections is investigated for compact structure groups $\LG$.
Different versions for defining Ashtekar's generalized connections are investigated depending on the chosen smoothness category for the paths and graphs -- the label set for the projective limit. Our ...
The Orbit Method for Finite Groups of Nilpotency Class Two of Odd Order
The Orbit Method Finite Groups Nilpotency Class
2010/10/29
First, I construct an isomorphism between the categories of (topological) groups of nilpotency class 2 with 2-divisible center and (topological) Lie rings of nilpotency class 2 with 2-divisible center...