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Extreme statistics of superdiffusive Levy flights and every other Levy subordinate Brownian motion
Sean D Lawley
The search for hidden targets is a fundamental problem in many areas of science, engineering, and other fields. Studies of search processes often adopt a probabilistic framework, i…
Extreme first passage times for random walks on networks
Sean D Lawley
Many biological, social, and communication systems can be modeled by ``searchers'' moving through a complex network. For example, intracellular cargo is transported on tubular netw…
Extreme statistics of anomalous subdiffusion following a fractional Fokker-Planck equation: Subdiffusion is faster than normal diffusion
Sean D Lawley
Anomalous subdiffusion characterizes transport in diverse physical systems and is especially prevalent inside biological cells. In cell biology, the prevailing model for chemical a…
Competition between slow and fast regimes for extreme first passage times of diffusion
Jacob B. Madrid, Sean D. Lawley
Many physical, chemical, and biological systems depend on the first passage time (FPT) of a diffusive searcher to a target. Typically, this FPT is much slower than the characterist…
The effects of fast inactivation on conditional first passage times of mortal diffusive searchers
Sean D Lawley
The first time a searcher finds a target is called a first passage time (FPT). In many physical, chemical, and biological processes, the searcher is "mortal," which means that the…
Extreme first passage times of piecewise deterministic Markov processes
Sean D Lawley
The time it takes the fastest searcher out of searchers to find a target determines the timescale of many physical, chemical, and biological processes. This time is called…