We study the ellipticity and the “Nekhoroshev stability” (stability properties for finite, but very long, time scales) of the Riemann ellipsoids. We provide numerical evidence that the regions of ellipticity of the ellipsoids of types II and III are larger than those found by Chandrasekhar in the 60’s and that all Riemann ellipsoids, except a finite number of codimension one subfamilies, are Ne...

We consider a simulated population of isolated Galactic neutron stars. The rotational frequency of each neutron star evolves through a combination of electromagnetic and gravitational wave emission. The magnetic field strength dictates the dipolar emission, and the ellipticity (a measure of a neutron star’s deformation) dictates the gravitational wave emission. Through both analytic and numeric...

We study ionization of atoms in strong elliptically polarized laser fields numerically and analytically. focus on the effects ellipticity offset angle photoelectron momentum distribution. This is considered to encode time information tunneling attoclock experiments. The calculated increases with decrease ellipticity, but along major axis polarization related this changes slowly, agreement With ...

We explore the use of the tangential component of weak lensing shear to characterize the ellipticity of clusters of galaxies. We introduce an ellipticity estimator, and quantify its properties for isolated clusters from ΛCDM N-body simulations. We compare the N-body results to results from smooth analytic models. The expected distribution of the estimator for mock observations is presented, and...

In this paper operator pencils A(x,D, λ) are studied which act on a manifold with boundary and satisfy the condition of N-ellipticity with parameter, a generalization of the notion of ellipticity with parameter as introduced by Agmon and Agranovich–Vishik. Sobolev spaces corresponding to the Newton polygon are defined and investigated; in particular it is possible to describe their trace spaces...