A simple method to calculate first-passage time densities with arbitrary initial conditions
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[1] R. Chakrabarti,et al. A lower bound to the survival probability and an approximate first passage time distribution for Markovian and non-Markovian dynamics in phase space. , 2009, The Journal of chemical physics.
[2] C. Sire. Crossing intervals of non-Markovian Gaussian processes. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[3] Tetsuya Shimokawa,et al. Coherence resonance and discharge time reliability in neurons and neuronal models , 2001, Neural Networks.
[4] H. Kramers. Brownian motion in a field of force and the diffusion model of chemical reactions , 1940 .
[5] S. Swain. Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences , 1984 .
[6] D. Sherrington. Stochastic Processes in Physics and Chemistry , 1983 .
[7] Satya N. Majumdar,et al. Persistence and first-passage properties in nonequilibrium systems , 2013, 1304.1195.
[8] D. Darling,et al. THE FIRST PASSAGE PROBLEM FOR A CONTINUOUS MARKOFF PROCESS , 1953 .
[9] D. Slepian. The one-sided barrier problem for Gaussian noise , 1962 .
[10] Ian F. Blake,et al. Level-crossing problems for random processes , 1973, IEEE Trans. Inf. Theory.
[11] C. Gardiner. Handbook of Stochastic Methods , 1983 .
[12] Sidney Redner,et al. First-passage phenomena and their applications , 2014 .
[13] Louis J. Cote,et al. On fluctuations of sums of random variables , 1955 .
[14] J. A. McFadden. The axis-crossing intervals of random functions-II , 1958, IRE Trans. Inf. Theory.
[15] M. Moreau,et al. Intermittent search strategies , 2011, 1104.0639.
[16] P. Hänggi,et al. Reaction-rate theory: fifty years after Kramers , 1990 .
[17] O. Bénichou,et al. From first-passage times of random walks in confinement to geometry-controlled kinetics , 2014 .
[18] D. S. Grebenkov,et al. First exit times of harmonically trapped particles: a didactic review , 2014, 1411.3598.
[19] L Schimansky-Geier,et al. First passage time densities in resonate-and-fire models. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[20] Gillespie,et al. Exact numerical simulation of the Ornstein-Uhlenbeck process and its integral. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[21] S. Redner. A guide to first-passage processes , 2001 .
[22] H. Risken. The Fokker-Planck equation : methods of solution and applications , 1985 .
[23] Satish Iyengar,et al. Parameter estimation for a leaky integrate-and-fire neuronal model from ISI data , 2008, Journal of Computational Neuroscience.
[24] Satya N. Majumdar. Persistence in nonequilibrium systems , 1999 .
[25] E. Andersen. On the fluctuations of sums of random variables II , 1953 .
[26] A. Siegert. On the First Passage Time Probability Problem , 1951 .
[27] M. Artola,et al. Laplace Transforms , 2020, Concise Encyclopedia of Modelling & Simulation.
[28] J. L. Pedersen,et al. Representations of the First Hitting Time Density of an Ornstein-Uhlenbeck Process , 2005 .