First Steps in Random Walks: From Tools to Applications

By Joseph Klafter, Igor M. Sokolov. 2011

498 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8e1d2ac5c5cfda39cee71c8457be4a4d944800b2

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Citations in the corpus

L\'evy walks (2014, methodology): “One can describe this model as Lévy walk interrupted by rests (Klafter and Sokolov, 2011; Klafter and Zumofen, 1994; Zaburdaev and Chukbar, 2002).”
The Chronicles of Fractional Calculus (2017, unknown): “2009 [6, 90, 122, 27, 89, 77, 155] [109, 17] 2010 [111, 31, 133, 165, 46] [98, 106, 63] 2011 [156, 144, 87, 65, 126, 92, 3, 187, 207, 78, 44, 93] [86, 18]”
Science metrics on fractional calculus development since 1966 (2013, background): “Figure 2 (left) depicts the evolution of Da [19, 12, 56, 75, 57, 99, 60, 87, 100, 100, 77, 68, 85, 95, 69, 70, 71, 72, 78, 23, 102, 13, 96, 64, 114, 36, 79, 73, 91, 63, 84, 80, 105, 109, 4, 111, 82, 22, 27, 28, 110, 81, 67, 32, 29, 86, 52, 33, 117, 106, 55, 58, 112, 113, 108, 6, 15, 2, 41, 59, 10, 4”
Non-equilibrium steady states of stochastic processes with intermittent resetting (2015, background): “Here the knowledge of the characteristic waiting time is sufficient to characterize the steady state distribution of the process in a confining potential [18].”
A practical guide to Prabhakar fractional calculus (2020, unknown): “[86]).”
Fractional Calculus: Quo Vadimus? (Where are we Going?) (2015, result): “We have taken the present occasion, as a compliment to our previous survey [107], to cite books published during the years 2011 [92, 80, 44, 26, 65, 47, 5, 106, 117], 2012 [7, 3, 77, 1, 51, 38, 102, 56, 122, 15, 112, 110, 118], 2013 [14, 18, 89, 29, 36], and 2014 [57, 4, 121, 39, 105, 40, 66, 86, 2,”
Physics of ultimate detachment of a tokamak divertor plasma (2017, background): “…in practice for the case of a large number of different traps they correspond (Krasheninnikov & Marenkov 2014) to a family of complex fractional (Klafter & Sokolov 2011) and nonlinear diffusion equations which have a complex short term time response to the impinging plasma flux and unusual…”