Lagrangian formulation of domain decomposition methods: A unified theory

Unified Theory of Domain Decomposition Methods

A Unified Formulation of Nuclear Fluctuation Theory

The statistical theory of fluctuations was initiated by ERICSON 1 in 1960 in the appendix of his review article on the statistical model of the compound nucleus. This was at a time when nuclear fluctuations had not yet been observed or recognized as such in scattering experiments. ERICSON pointed out that the excitation functions and angular distributions of nuclear reactions involving a compou...

Lagrangian Formulation of a Consistent Relativistic Guiding Center Theory

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

A unified formulation of Gaussian vs. sparse stochastic processes - Part I: Continuous-domain theory

We introduce a general distributional framework that results in a unifying description and characterization of a rich variety of continuous-time stochastic processes. The cornerstone of our approach is an innovation model that is driven by some generalized white noise process, which may be Gaussian or not (e.g., Laplace, impulsive Poisson or alpha stable). This allows for a conceptual decouplin...

A Unified Formulation of Gaussian Versus Sparse Stochastic Processes - Part II: Discrete-Domain Theory

This paper is devoted to the characterization of an extended family of continuous-time autoregressive moving average (CARMA) processes that are solutions of stochastic differential equations driven by white Lévy innovations. These are completely specified by: 1) a set of poles and zeros that fixes their correlation structure and 2) a canonical infinitely divisible probability distribution that ...