Albert Levy

Levy Statistics and Anomalous Transport: Levy Flights and Subdiffusion

III. Lévy flights 9 A. Underlying random walk process 9 B. Propagator and symmetries 10 C. Presence of external potentials 12 1. Harmonic potential 12 2. Steeper than harmonic potentials 13 D. First passage and first arrival of Lévy flights 15 E. Leapover properties of Lévy flights 17 F. Kramers problem for Lévy flights 18 G. More on the ”pathology” 20 H. Bi-fractional transport equations 22 I....

Albert Fry

Albert Conlisk

Number of Papers published in peer-reviewed journals: Number of Papers published in non peer-reviewed journals: Transport of multivalent electrolyte mixtures in microand nanochannels Report Title The major goal of this research is to understand charged biomolecules in a biofluid flowing through a microor nanochannel interact with a charged surface in the presence of an applied electric field pa...

Levy model of cancer

Along an individual lifetime, stem cells replicate and suffer modifications in their DNA content. I model the modifications in the DNA of a single cell as a Levy flight, made up of small amplitude Brownian motions plus rare large-jumps events. The distribution function of mutations has a long tail, in which cancer events are located far away. The probability of cancer in a given tissue is rough...

Levy sections theorem revisited

This paper revisits Levy sections theorem, which generalizes the central limit theorem to encompass autocorrelated variables. Levy sections theorem’s approach is extended to time series and applied to historical daily returns of selected dollar exchange rates. We explain the elevated kurtosis usually observed in such series by their volatilities. In particular, the high kurtosis of emerging mar...