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Entropy Formulas For Dynamical Systems With Mistakes
Entropy Formulas Dynamical Systems Mistakes
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2010/11/11
We study the recurrence to mistake dynamical balls, that is, dynamical balls that admit some errors and whose proportion of errors decrease tends to zero with the length of the dynamical ball. We prov...
Close-packed dimers on the line: diffraction versus dynamical spectrum
Close-packed dimers line diffraction versus dynamical spectrum
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2010/11/12
The translation action of $\RR^{d}$ on a translation bounded measure $\omega$ leads to an interesting class of dynamical systems, with a rather rich spectral theory. In general, the diffraction spect...
Nearly linear dynamics of nonlinear dispersive waves
Nearly linear dynamics nonlinear dispersive waves
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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
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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 ...
Mass endomorphism, surgery and perturbations
Dirac operator mass endomorphism surgery
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2010/12/14
We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics.The proof involves a study of the mass endomorphism under surge...
Sums of Laplace eigenvalues - rotationally symmetric maximizers in the plane
Isoperimetric membrane tight frame
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2010/12/14
The sum of the first n 1 eigenvalues of the Laplacian is shown to be maximal among triangles for the equilateral triangle,maximal among parallelograms for the square, and maximal among ellipses for ...
Maxwell-Lorentz Dynamics for Rigid Charges - Classical Absorber Electrodynamics Part I
Maxwell-Lorentz Equations Wheeler-Feynman Equations Absorber Electrodynamics
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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
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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 ...
Minimizers of the Lawrence-Doniach Functional with Oblique Magnetic Fields
Calculus of variations elliptic equations and systems superconductivity,
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2010/12/1
We study minimizers of the Lawrence{Doniach energy, which describes equilibrium states of superconductors with layered structure, assuming Floquet-periodic boundary conditions.
Right submodules of finite rank for von Neumann dynamical systems
Finite rank submodules von Neumann dynamical systems
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2010/11/29
Let (M, , , ) be a (finite) von Neumann dynamical system and let N be a unital von Neumann subalgebra of M which is -invariant. If V ⊂ L2(M) is a right N-submodule whose pr...
Finite Time Singularities for Lagrangian Mean Curvature Flow
Finite Time Singularities Lagrangian Mean Curvature Flow
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2010/11/30
Given a prime q and a negative discriminant D, the CM method constructs an elliptic curve E/Fq by obtaining a root of the Hilbert class polynomial HD(X) modulo q.
Holonomy reduced dynamics of triatomic molecular systems
Holonomy reduced dynamics triatomic molecular systems
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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.
Survival of near-critical branching Brownian motion
ival near-critical branching Brownian motion
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2010/11/29
Consider a system of particles performing branching Brownian motion with negative
drift μ = √2 − " and killed upon hitting zero. Initially there is one particle at x > 0.
Kesten [12] showed th...
Diffusive limits for "true" (or myopic) self-avoiding random walks and self-repellent Brownian polymers in d >= 3
self-repelling random motion local time central limit theorem
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2010/11/29
The problems considered in the present paper have their roots in two different cultures. The ‘true’ (or myopic) self-avoiding walk model (TSAW) was introduced in the physics literature by Amit, Parisi...
Ordered and disordered dynamics in monolayers of rolling particles
Ordereddisordered dynamics monolayers of rolling particles
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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...