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Dynamics of a rational multi-parameter second order difference equation with cubic numerator and quadratic monomial denominator
Dynamics rational multi-parameter second order difference equation
2010/11/22
The asymptotic behavior (such as convergence to an equilibrium, convergence to a 2-cycle, and divergence to infinity) of solutions of the following multi-parameter, rational, second order difference e...
Diffusive limit for a quantum linear Boltzmann dynamics
quantum linear Boltzmann dynamics math
2010/11/17
We study the diffusive behavior for a quantum test particle interacting with a dilute background gas. The model we begin with is a reduced picture for the test particle dynamics given by a quantum lin...
Beyond pressureless gas dynamics : Quadrature-based velocity moment models
gas dynamics Quadrature-based velocity moment models
2010/11/19
Following the seminal work of F. Bouchut on zero pressure gas dynamics which has been extensively used for gas particle-flows, the present contribution investigates quadrature-based velocity moments ...
Entropy for symbolic dynamics with overlapping alphabets
Entropy for symbolic dynamics overlapping alphabets
2010/11/22
We consider shift spaces in which elements of the alphabet may overlap nontransitively. We define a notion of entropy for such spaces, give several techniques for computing lower bounds for it, and s...
Nearly linear dynamics of nonlinear dispersive waves
Nearly linear dynamics nonlinear dispersive waves
2010/12/14
Dispersive averaging e ects are used to show that KdV equation with periodic boundary conditions possesses high frequency solutions which behave nearly linearly.
Dynamics of automorphisms on compact Kähler manifolds
holomorphic automorphism Green current laminar current Green measure
2010/12/14
We study holomorphic automorphisms on compact K¨ahler manifolds having simple actions on the Hodge cohomology ring. We show for such automorphisms that the main dynamical Green currents admit complex ...
Kinetic models for socio-economic dynamics of speculative markets
kinetic models opinion formation stock market power laws behavioral finance
2010/12/16
In this paper we introduce a simple model for a financial market characterized by a sin-
gle stock or good and an interplay between two different traders populations, chartists and
fundamentalists, ...
Modular dynamics in diamonds
Modular dynamics diamonds
2010/12/13
We investigate the relation between the actions of Tomita-Takesaki modular operators for local von Neumann algebras in the vacuum for free massive and massless bosons in four dimensional Minkowskian s...
Lee-Yang zeros for DHL and 2D rational dynamics, I. Foliation of the physical cylinder
Lee-Yang zeros DHL D rational dynamics I. Foliation of the physical cylinder
2010/12/10
In a classical work of the 1950’s, Lee and Yang proved that thezeros of the partition functions of a ferromagnetic Ising models always lie on the unit circle. Distribution of these zeros is physically...
Maxwell-Lorentz Dynamics for Rigid Charges - Classical Absorber Electrodynamics Part I
Maxwell-Lorentz Equations Wheeler-Feynman Equations Absorber Electrodynamics
2010/12/7
This is the first part of our mathematical survey on the equations of motion of classical absorber electrodynamics, which shall be introduced and discussed briefly. Its basic equations of motion are t...
Semigroup representations in holomorphic dynamics
Semigroup representations holomorphic dynamics
2010/12/7
We use semigroup theory to describe the group of automorphisms of some semigroups of interest in holomorphic dynamical systems. We show,with some examples, that representation theory of semigroups is ...
Holonomy reduced dynamics of triatomic molecular systems
Holonomy reduced dynamics triatomic molecular systems
2010/11/29
Whereas it is easy to reduce the translational symmetry of a molecular system by using, e.g., Jacobi coordinates the situation is much more involved for the rotational symmetry.
Ordered and disordered dynamics in monolayers of rolling particles
Ordereddisordered dynamics monolayers of rolling particles
2010/12/15
We consider the ordered and disordered dynamics for monolayers of rolling self-interacting par-
ticles with an o -set center of mass and a non-isotropic inertia tensor. The rolling constraint is cons...
Momentum conservation in dissipationless reduced-fluid dynamics
Momentum conservation dissipationless reduced-fluid dynamics
2010/12/15
The momentum conservation law for general dissipationless reduced-fluid (e.g., gyrofluid) models is derived by Noether method from a variational principle. The reduced-fluid momentum density and the r...
The Stability and Dynamics of Localized Spot Patterns in the Two-Dimensional Gray-Scott Model
matched asymptotic expansions spots self-replication logarithmic expansions eigenvalues,
2010/12/15
The dynamics and stability of multi-spot patterns to the Gray-Scott (GS) reaction-diffusion model in a two-dimensional domain is studied in the singularly perturbed limit of small diffusivity " of one...