? relaxation theory for simple systems: some addenda

fl relaxation theory for simple systems : some addenda

The evolution of the tagged particle probability density for a hard sphere system is evaluated within the B-relaxation window. Relaxation curves obtained by molecular dynamics studies by Barrat, Hansen and Roux for a binary mixture are analyzed quantitatively with B-relaxation scaling formulae. The dynamical light scattering data obtained by Pusey and van Megen for colloidal suspensions are des...

Some addenda on distance function wavelets

This report will add some supplements to the recently finished report series on the distance function wavelets (DFW). First, we define the general distance in terms of the Riesz potential, and then, the distance function Abel wavelets are derived via the fractional integral and Laplacian. Second, the DFW Weyl transform is found to be a shifted Laplace potential DFW. The DFW Radon transform is a...

Addenda to “foundations of Garside Theory”

This text consists of additions to the book “Foundations of Garside Theory”, EMS Tracts in Mathematics, vol. 22 (2015)—see introduction and table of contents in arXiv:1309.0796—namely skipped proofs and solutions to selected exercises.

Errata and Addenda to 'Finite non-deterministic semantics for some modal systems'

Trying to overcome Dugundji’s result on uncharacterizability of modal logics by finite logical matrices, J. Kearns (in 1981) and J. Ivlev (in 1988) propose, independently, a characterization of some modal systems by means of four-valued multivalued truth-functions (by restricting the valuations using level valuations, in Kearns’ approach), as an alternative to Kripke semantics. This constitutes...

A simple derivation of BV bounds for inhomogeneous relaxation systems