Select Publications
Preprints
, 2026, First Passage Times for Variable-Order Time-Fractional Diffusion, https://arxiv.org/abs/2604.13852v1
, 2026, First-Passage Times for the Space-Fractional Spectral Fokker-Planck Equation, http://dx.doi.org/10.48550/arxiv.2511.18256
, 2025, The Global Diffusion Limit for the Space Dependent Variable-Order Time-Fractional Diffusion Equation, http://dx.doi.org/10.48550/arxiv.2504.18787
, 2025, A compounded random walk for space-fractional diffusion on finite domains, http://dx.doi.org/10.48550/arxiv.2410.10077
, 2024, Exact Solutions of Time-Delay Integer- and Fractional-Order Advection Equations, http://dx.doi.org/10.48550/arxiv.2406.00897
, 2024, Finite Time Blowup of Integer- and Fractional-Order Time-Delayed Diffusion Equations, http://dx.doi.org/10.48550/arxiv.2406.08777
, 2024, A Stochastic Simulation Method for Fractional Order Compartment Models, http://dx.doi.org/10.48550/arxiv.2312.05268
, 2024, Self-reinforcing directionality generates Lévy walks without the power-law assumption, http://dx.doi.org/10.48550/arxiv.2005.00498
, 2022, Population heterogeneity in the fractional master equation, ensemble self-reinforcement and strong memory effects, http://dx.doi.org/10.48550/arxiv.2209.10599
, 2021, Identification of the nature of dynamical systems with recurrence plots and convolution neural networks: A preliminary test, http://dx.doi.org/10.48550/arxiv.2111.00866
, 2021, Anomalous stochastic transport of particles with self-reinforcement and Mittag-Leffler distributed rest times, http://dx.doi.org/10.48550/arxiv.2110.04851
, 2021, Superdiffusion in self-reinforcing run-and-tumble model with rests, http://dx.doi.org/10.48550/arxiv.2110.04299
, 2021, The anomalous tango of hemocyte migration in Drosophila melanogaster embryos, http://dx.doi.org/10.48550/arxiv.2109.03797
, 2021, Local Analysis of Heterogeneous Intracellular Transport: Slow and Fast moving Endosomes, http://dx.doi.org/10.48550/arxiv.2107.11553
, 2021, Unravelling Heterogeneous Transport of Endosomes, http://dx.doi.org/10.48550/arxiv.2107.07760
, 2021, Variable-order fractional master equation and clustering of particles: non-uniform lysosome distribution, http://dx.doi.org/10.48550/arxiv.2101.02698
, 2019, Asymptotic behavior of the solution of the space dependent variable order fractional diffusion equation: ultra-slow anomalous aggregation, http://dx.doi.org/10.48550/arxiv.1902.03087
, 2018, Memory effects and Lévy walk dynamics in intracellular transport of cargoes, http://dx.doi.org/10.48550/arxiv.1806.00407
, 2018, A cumulative inertia phenomenon explains anomalous long-distance transport in eukaryotic cells, http://dx.doi.org/10.1101/339390
, A dynamic, spatially periodic, micro-pattern of HES5 underlies neurogenesis in the mouse spinal cord, http://dx.doi.org/10.1101/2020.08.03.234369
, Deciphering anomalous heterogeneous intracellular transport with neural networks, http://dx.doi.org/10.1101/777615
, The influence of calcific aortic stenosis on atrioventricular conduction: a prospective observational study and Mendelian randomization, http://dx.doi.org/10.1101/2024.05.08.24307094