Publications

Filter by type:

. Identification of pollutant source for super-diffusion in aquifers and rivers with bounded domains. Water Resources Research, 2018.

PDF Project DOI HTML

. Peaks Over Threshold for Bursty Time Series. arXiv:1802.05218, 2018.

Code Project HTML arXiv

. Fokker–Planck and Kolmogorov backward equations for continuous time random walk scaling limits. Proceedings of the American Mathematical Society, 2017.

Project DOI arXiv

. A semi-markov algorithm for continuous time random walk limit distributions. Mathematical Modelling of Natural Phenomena, 2017.

Project DOI arXiv

. Reflected spectrally negative stable processes and their governing equations. Transactions of the American Mathematical Society, 2016.

Project DOI arXiv

. Limit theorems and governing equations for Lévy walks. Stochastic Processes and their Applications, 2015.

Project DOI arXiv

. Estimation of fractal dimension and fractal curvatures from digital images. Chaos, Solitons & Fractals, 2015.

Code DOI arXiv

. Generalized Continuous Time Random Walks, Master Equations, and Fractional Fokker--Planck Equations. SIAM Journal on Applied Mathematics, 2015.

PDF Project DOI

. Semi-Markov approach to continuous time random walk limit processes. Annals of Probability, 2014.

PDF Project DOI arXiv

. Inverse stable subordinators. Mathematical Modelling of Natural Phenomena, 2013.

Project DOI HTML

. Fractional wave equations with attenuation. Fractional Calculus and Applied Analysis, 2013.

PDF Project DOI HTML

. Fractional Dynamics at Multiple Times. Journal of Statistical Physics, 2012.

PDF Project DOI HTML

. Stochastic solution to a time-fractional attenuated wave equation. Nonlinear Dynamics, 2012.

PDF Project DOI HTML

. Fractional Fokker-Planck Equations for Subdiffusion with Space- and Time-Dependent Forces. Physical Review Letters, 2011.

Project DOI arXiv

. An introduction to fractional diffusion. Complex Physical, Biophysical and Econophysical Systems, 2010.

PDF Project DOI