Monotonic continuous-time random walks with drift and stochastic reset events.
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[1] René Lefever,et al. Noise-Induced Transitions: Theory and Applications in Physics, Chemistry, and Biology , 2007 .
[2] Scaling and data collapse for the mean exit time of asset prices , 2005, physics/0507054.
[3] V. Terebizh,et al. Some characteristics of the flare activity of UV Cet type stars. I , 1971 .
[4] E. Montroll,et al. Fractal random walks , 1982 .
[5] D. Sornette. Multiplicative processes and power laws , 1997, cond-mat/9708231.
[6] G. Weiss. Aspects and Applications of the Random Walk , 1994 .
[7] Enrico Scalas,et al. Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[8] Zhimin Zhang,et al. The perturbed compound Poisson risk model with two-sided jumps , 2010, J. Comput. Appl. Math..
[9] G. Weiss,et al. Continuous-time random-walk model for financial distributions. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[10] M. Montero,et al. On the Integrability of the Poisson Driven Stochastic Nonlinear Schrödinger Equations , 2011 .
[11] R. Lefever,et al. Noise in nonlinear dynamical systems: Noise-induced transitions , 1989 .
[12] J. Villarroel. Killed Random Processes and Heat Kernels , 2005 .
[13] D. Dickson,et al. On the time to ruin for Erlang(2) risk processes , 2001 .
[14] Satya N. Majumdar,et al. Diffusion with optimal resetting , 2011, 1107.4225.
[15] R B Jenkins,et al. Four-wave mixing in wavelength-division-multiplexed soliton systems: damping and amplification. , 1996, Optics letters.
[16] S. Karlin,et al. A second course in stochastic processes , 1981 .
[17] Brian Berkowitz,et al. ANOMALOUS TRANSPORT IN RANDOM FRACTURE NETWORKS , 1997 .
[18] H. Gerber,et al. Actuarial bridges to dynamic hedging and option pricing , 1996 .
[19] D. Zanette,et al. Stochastic multiplicative processes with reset events. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[20] M. Shlesinger. Asymptotic solutions of continuous-time random walks , 1974 .
[21] Francesco Mainardi,et al. Beyond the Poisson renewal process: A tutorial survey , 2007 .
[22] Enrico Scalas,et al. The application of continuous-time random walks in finance and economics , 2006 .
[23] B. Berkowitz,et al. Spatial behavior of anomalous transport. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[24] Ericka Stricklin-Parker,et al. Ann , 2005 .
[25] Statistics of the depth probed by cw measurements of photons in a turbid medium , 1998 .
[26] Andrew G. Glen,et al. APPL , 2001 .
[27] Karina Weron,et al. Random walk models of electron tunneling in a fluctuating medium. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[28] J. Klafter,et al. The random walk's guide to anomalous diffusion: a fractional dynamics approach , 2000 .
[29] H. Kaufman,et al. Table of Laplace transforms , 1966 .
[30] Josep Perelló,et al. Extreme times in financial markets. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[31] Vito Latora,et al. Power-law time distribution of large earthquakes. , 2003, Physical review letters.
[32] D Sornette,et al. Diffusion of epicenters of earthquake aftershocks, Omori's law, and generalized continuous-time random walk models. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[33] Josep Perelló,et al. The continuous time random walk formalism in financial markets , 2006 .
[34] Marian Boguna,et al. Long-tailed trapping times and Lévy flights in a self-organized critical granular system , 1997 .
[35] Alexander M. Millkey. The Black Swan: The Impact of the Highly Improbable , 2009 .
[36] Satya N Majumdar,et al. Diffusion with stochastic resetting. , 2011, Physical review letters.
[37] E. Montroll,et al. Random Walks on Lattices. II , 1965 .
[38] Elliott W. Montroll,et al. Nonequilibrium phenomena. II - From stochastics to hydrodynamics , 1984 .
[39] H. Stanley,et al. Modelling urban growth patterns , 1995, Nature.
[40] R. Mantegna,et al. Scaling behaviour in the dynamics of an economic index , 1995, Nature.
[41] M. Montero,et al. On the effect of random inhomogeneities in Kerr media modelled by a nonlinear Schrödinger equation , 2010, 1003.4408.
[42] Shuanming Li,et al. On ruin for the Erlang(n) risk process , 2004 .
[43] W. Schottky. Über spontane Stromschwankungen in verschiedenen Elektrizitätsleitern , 1918 .