Generalized seismological data functionals

Perturbation Kernels for Generalized Seismological Data Functionals (GSDF)

Generalized convex functionals

This paper studies functionals defined by multiple integrals associated to differential forms on the jet bundle of first order corresponding to some Riemannian manifolds; the domain of these functionals consists in submanifold maps satisfying certain conditions of integrability. Our idea is to give geometric properties to the domain of a functional allowing us to properly define convexity. The ...

Modeling β Virginis using seismological data

This paper presents the modeling of the F9 V star β Virginis based on seismological measurements. Using the Geneva evolution code including rotation and atomic diffusion, we find that two distinct solutions reproduce all existing asteroseismic and non-asteroseismic observational constraints well: a main-sequence model with a mass of 1.28 ± 0.03 M⊙ and an age t = 3.24 ± 0.20 Gyr, or a model in t...

Superstability of Generalized Multiplicative Functionals

LetX be a set with a binary operation ◦ such that, for each x, y, z ∈ X, either x ◦y ◦z x ◦z ◦y, or z◦ x◦y x◦ z◦y . We show the superstability of the functional equation g x◦y g x g y . More explicitly, if ε ≥ 0 and f : X → C satisfies |f x ◦ y − f x f y | ≤ ε for each x, y ∈ X, then f x ◦ y f x f y for all x, y ∈ X, or |f x | ≤ 1 √1 4ε /2 for all x ∈ X. In the latter case, the constant 1 √ 1 4...

Global Tectonic Regionalization for Seismological Data Analysis

A global tectonic regionalization, GTR1, has been constructed for use in seismological studies of aspherical heterogeneity. Three oceanic regions are defined by equal increments in the square root of crustal age (25and lO0-m.y. isochrons), and three continental regions are distinguished according to their generalized tectonic behavior during the Phanerozoic (Precambrian shields and platforms, P...