A general framework derives mean first passage times and moments for fixed-speed velocity jump processes in higher dimensions, yielding a universal MFPT form via two bias functions at low Knudsen numbers and anomalous scaling for narrow targets.
Redner,A Guide to First-Passage Processes(Cam- bridge University Press, 2001)
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Exact MFPT formula for stochastic resetting diffusion on d-dimensional lattices, showing minimum at finite r for most starts and monotonic decrease for nearest neighbors.
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Mean first passage times of higher-dimensional velocity jump processes
A general framework derives mean first passage times and moments for fixed-speed velocity jump processes in higher dimensions, yielding a universal MFPT form via two bias functions at low Knudsen numbers and anomalous scaling for narrow targets.
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Diffusion with stochastic resetting on a lattice
Exact MFPT formula for stochastic resetting diffusion on d-dimensional lattices, showing minimum at finite r for most starts and monotonic decrease for nearest neighbors.