Event Modeller Data Analytic for Harmonic Failures

Analytic formulae for high harmonic generation

Analytic formulae describing harmonic generation by a weakly bound electron are derived quantum mechanically in the tunneling limit. The formulae confirm the classical three-step model and provide an analytic explanation for oscillatory structures on the harmonic generation plateau.

Predicting Failures in Event Sequences

In this paper we develop new techniques for predicting failures and monitoring in categorical event sequences. New techniques are needed because failures are rare and previous data mining algorithms were overwhelmed by the staggering number of very frequent, but entirely unpredictive patterns that exist in such databases. This paper combines several techniques for pruning out unpredictive and r...

Harmonic and analytic functions on graphs

Harmonic and analytic functions have natural discrete analogues. Harmonic functions can be defined on every graph, while analytic functions (or, more precisely, holomorphic forms) can be defined on graphs embedded in orientable surfaces. Many important properties of the “true” harmonic and analytic functions can be carried over to the discrete setting. We prove that a nonzero analytic function ...

ANALYTIC CONTINUATION IN REPRESENTATIONTHEORY AND HARMONIC ANALYSISbyGestur

| In this paper we discuss topics in harmonic analysis and representation theory related to two diierent real forms G=H and G c =H of a complex semisimple symmetric space G C =H C. We connect representations of G and G c using the theory of involutive representations of semigroups and reeection symmetry. We discuss how to generalize the Segal-Bargmann transform to real forms of bounded symmetri...

Data Warehousing Failures