Multi-resolution analysis generated by a seed function

In this paper we use the equivalence result originally proved by the author which relates a multi-resolution analysis (MRA) of $L^2(R)$ and an orthonormal set of single electron wave-functions in the lowest Landau level, to build up a procedure which produces, starting with a certain square-integrable function, a MRA of $L^2(R)

An Iterative Procedure for Combining the Advantages of a Multi-Frequency and Multi-Resolution Inversion Algorithm

Starting from the iterative multi�]scaling approach previously studied for monochromatic illuminations, two multi�]resolution strategies for dealing with multi�]frequency inverse scattering experiments have been developed. The first procedure is based on the integration of the iterative multi�]scaling algorithm into a frequency�]hopping reconstruction scheme, while in the second one the multi�]frequency data are simultaneously processed exploiting a multi�]resolution expansion of the problem unknowns. The numerical and the experimental analysis presented in this contribution concern with a preliminary assessment of the reconstruction effectiveness of the proposed approaches in comparison with a monochromatic multi�]step process. This is the author's version of the final version available at IEEE

Multi-resolution analysis for ENO schemes

Given an function, u(x), which is represented by its cell-averages in cells which are formed by some unstructured grid, we show how to decompose the function into various scales of variation. This is done by considering a set of nested grids in which the given grid is the finest, and identifying in each locality the coarsest grid in the set from which u(x) can be recovered to a prescribed accuracy. This multi-resolution analysis was applied to essentially non-oscillatory (ENO) schemes in order to advance the solution by one time-step. This is accomplished by decomposing the numerical solution at the beginning of each time-step into levels of resolution, and performing the computation in each locality at the appropriate coarser grid. An efficient algorithm for implementing this program in the 1-D case is presented; this algorithm can be extended to the multi-dimensional case with Cartesian grids

Multi-Resolution Analysis and Fractional Quantum Hall Effect: an Equivalence Result

In this paper we prove that any multi-resolution analysis of \Lc^2(\R) produces, for some values of the filling factor, a single-electron wave function of the lowest Landau level (LLL) which, together with its (magnetic) translated, gives rise to an orthonormal set in the LLL. We also give the inverse construction. Moreover, we extend this procedure to the higher Landau levels and we discuss the analogies and the differences between this procedure and the one previously proposed by J.-P. Antoine and the author.Comment: Submitted to Journal Mathematical Physisc

Correspondences and Contradictions in International and Domestic Conflict Resolution: Lessons From General Theory and Varied Contexts

Does the field of conflict resolution have any broadly applicable theories that work across the different domains of international and domestic conflict? Or, are contexts, participants, and resources so domain specific and variable that only thick descriptions of particular contexts will do? These are important questions which have been plaguing me in this depressing time for conflict resolution professionals, from September 11,2001 (9/11), to the war against Iraq. Have we learned anything about conflict resolution that really does improve our ability to describe, predict, and act to reduce unnecessary and harmful conflict? These are the questions I want to explore in this essay, all the while knowing that I will ask more questions than I have answers to. My hope is to spark more rigorous attention to the possibility of comparative dispute resolution study and practice, using key concepts, theories, empirical studies, practical wisdom, and experiential insights to spark and encourage more multi-level and multi-unit analysis of some of our shared propositions