Random search on comb

[1]  Satya N. Majumdar,et al.  Persistence and first-passage properties in nonequilibrium systems , 2013, 1304.1195.

[2]  Sidney Redner,et al.  First-passage phenomena and their applications , 2014 .

[3]  Ralf Metzler,et al.  Lévy strategies in intermittent search processes are advantageous , 2008, Proceedings of the National Academy of Sciences.

[4]  Arak M. Mathai,et al.  The H-Function , 2010 .

[5]  Aleksei V. Chechkin,et al.  Lévy flights do not always optimize random blind search for sparse targets , 2014, Proceedings of the National Academy of Sciences.

[6]  O Bénichou,et al.  Optimal search strategies for hidden targets. , 2005, Physical review letters.

[7]  Andy M. Reynolds,et al.  Optimal random Lévy-loop searching: New insights into the searching behaviours of central-place foragers , 2008 .

[8]  A. Chechkin,et al.  Space-fractional Fokker–Planck equation and optimization of random search processes in the presence of an external bias , 2014, 1402.2772.

[9]  B. Dybiec,et al.  To hit or to pass it over—remarkable transient behavior of first arrivals and passages for Lévy flights in finite domains , 2016 .

[10]  A. Iomin.  Subdiffusion on a fractal comb. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Shlomo Havlin,et al.  Some properties of a random walk on a comb structure , 1986 .

[12]  Persistence of a particle in the Matheron-de Marsily velocity field. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  J. Klafter,et al.  The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics , 2004 .

[14]  USA,et al.  Efficient search by optimized intermittent random walks , 2009, 0909.1048.

[15]  Frederic Bartumeus,et al.  Fractal reorientation clocks: Linking animal behavior to statistical patterns of search , 2008, Proceedings of the National Academy of Sciences.

[16]  Diffusive escape in a nonlinear shear flow: Life and death at the edge of a windy cliff , 1995, cond-mat/9505062.

[17]  A. M. Mathai,et al.  DISTRIBUTION OF A PRODUCT AND THE STRUCTURAL SET UP OF DENSITIES , 1969 .

[18]  H. Kantz,et al.  Comb model with slow and ultraslow diffusion , 2015, 1512.07781.

[19]  G M Viswanathan,et al.  Optimization of random searches on defective lattice networks. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Rainer Klages,et al.  Comparison of pure and combined search strategies for single and multiple targets , 2017, 1710.11411.

[21]  Ralf Metzler,et al.  Optimal target search on a fast-folding polymer chain with volume exchange. , 2005, Physical review letters.

[22]  Astronomy,et al.  Search reliability and search efficiency of combined Lévy–Brownian motion: long relocations mingled with thorough local exploration , 2016, 1609.03822.

[23]  Satya N. Majumdar,et al.  Diffusion with optimal resetting , 2011, 1107.4225.

[24]  H. Kantz,et al.  Anomalous diffusion on a fractal mesh. , 2016, Physical review. E.

[25]  M. Shlesinger,et al.  Lévy Walks Versus Lévy Flights , 1986 .

[26]  G. Matheron,et al.  Is transport in porous media always diffusive? A counterexample , 1980 .

[27]  Superdiffusion in random velocity fields. , 1990, Physical review letters.

[28]  Yasmine Meroz,et al.  Unequal twins: probability distributions do not determine everything. , 2011, Physical review letters.

[29]  Trifce Sandev,et al.  Lévy processes on a generalized fractal comb , 2016, Fractional Dynamics in Comb-like Structures.

[30]  Lukasz Kusmierz,et al.  First Order Transition for the Optimal Search Time of Lévy Flights with Resetting. , 2014, Physical review letters.

[31]  S. Majumdar,et al.  Universal first-passage properties of discrete-time random walks and Lévy flights on a line: Statistics of the global maximum and records , 2009, 0912.2586.

[32]  J. Klafter,et al.  The random walk's guide to anomalous diffusion: a fractional dynamics approach , 2000 .

[33]  K. Gupta,et al.  The H-function transform II , 1971 .