Lévy flights and Lévy walks serve as two paradigms of random walks resembling common
features but also bearing fundamental differences. One of the main dissimilarities is the …

We investigate the first-passage dynamics of symmetric and asymmetric Lévy flights in semi-
infinite and bounded intervals. By solving the space-fractional diffusion equation, we …

The term'Lévy flights' was coined by Benoit Mandelbrot, who thus poeticized α-stable Lévy
random motion, a Markovian process with stationary independent increments distributed …

The following sections are a start on organizing references on stable distributions by topic. It
is far from complete. Starting on page 23 there is an extensive list of papers, most on stable …

Regular variation of a multivariate measure with a Lebesgue density implies the regular
variation of its density provided the density satisfies some regularity conditions. Unlike the …

This dissertation is concerned with the spread of information and influence over dynamic
networks. Most prior research focuses primarily on studying spread over static networks; yet …