Non Gaussianity
Cohesive Crack Propagation in a Random Elastic Medium
Bruggi M., Casciati S., and Faravelli L. (2008). “Cohesive crack propagation in a random elastic medium”. Probabilistic Engineering Mechanics, 23(1), 23-35. ISSN: 0266-8920.
DATA E LUOGO DI PUBBLICAZIONE: January 2008; Elsevier Sci Ltd, Kidlington, Oxford OX5 1GB, Oxon, England.
ABSTRACT. The issue of generating non-Gaussian, multivariate and correlated random fields, while preserving the... more
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Download (.pdf) PhD Thesis - Continuous and Discrete Properties of Stochastic Processes
My PhD thesis, "Continuous and Discrete Properties of Stochastic Processes". Policies regarding sharing and copying (and another copy of the full text) are available at the Nottingham eTheses website, http://etheses.nottingham.ac.uk/1194
Keywords:
continuous stable distribution, Gaussian distribution, discrete stable distribution, Poisson distribution, Fano factor, fracal properties, closed-form stable distributions, doubly stochastic Poisson transform, doubly stochastic Gaussian transform, Fokker-Planck equation, phase screen model, binomial, negative binomial, crossing statistics, inter-event density, persistence
This thesis considers the interplay between the continuous and discrete properties of random stochastic processes. It... more
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Continuous and discrete stable processes
Co-Authored with Keith Hopcraft and Eric Jakeman, published in Physical Review E vol. 77, article 011109
The one-sided Lévy-stable probability densities and the discrete-stable distributions form a doubly stochastic Poisson... more
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MMath Dissertation - Statistical Stability and the WWW
MMath dissertation produced whilst studying Mathematics with Engineering at the University of Nottingham, supervised by Dr. Keith Hopcraft. Submitted in April 2005 and awarded a 90% grade.
A class of networks which are found in real-life are the so-called ‘scale-free’ networks, for which p(n) ~ 1/n^v,... more