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Generalized Riesz Products on the Bohr compactification of $\R$
Generalized Riesz products almost periodic functions Bohr compactification mean value Besicovitch space Kac Central Limit Theorem Kakutani criterion
2012/6/19
We study a class of generalized Riesz products connected to the spectral type of some class of rank one flows on $\R$. Applying a Central Limit Theorem of Kac, we exhibit a large class of singular gen...
Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
Photogravitational:Oblateness:RTBP:Chermnykh-Like problem
2011/9/21
Abstract: We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analyti...
Generalized Extreme Value distribution parameters as dynamical indicators of Stability
Generalized Extreme Value distribution parameters dynamical indicators of Stability Dynamical Systems
2011/9/23
Abstract: We introduce a new dynamical indicator of stability based on the Extreme Value statistics showing that it provides an insight on the local stability properties of dynamical systems. The indi...
Early warning signals for critical transitions: A generalized modeling approach
critical transitions Populations and Evolution Dynamical Systems
2011/10/9
Critical transitions are sudden, often irreversible, changes that can occur in a large variety of complex systems. Signals that warn of critical transitions are highly desirable, but their constructio...
Characterization of hyperbolicity and generalized shadowing lemma
Hyperbolicity Lyapunov exponents shadowing Anosov maps
2011/9/13
Abstract: J. Mather characterized uniform hyperbolicity of a discrete dynamical system as equivalent to invertibility of an operator on the set of all sequences bounded in norm in the tangent bundle o...
Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Separation of variables generalized Henon-Heiles system system quartic potential
2011/3/2
We consider two well-known integrable systems on the plane using the concept of natural Poisson
bivectors on Riemaninan manifolds. Geometric approach to construction of variables of separation and se...
A generalized virial theorem and the balance of kinetic and potential energies in the semiclassical limit
Virial theorem semiclassical limit classically forbidden region
2010/12/1
We obtain two-sided bounds on kinetic and potential energies of a bound state of a quantum particle in the semiclassical limit, as the Planck constant ~ ! 0. Proofs of these results rely on the genera...
Stochastic Lagrangian Transport and Generalized Relative Entropies
Relative entropies stochastic integrals of motion stochastically passive scalars stochastic Lagrangian transport
2014/4/4
We discuss stochastic representations of advection diffusion equations with variable diffusivity, stochastic integrals of motion and generalized relative entropies.