[1]
Mandelbrot, B. B. (1982). The fractal geometry of nature. 1982. San Francisco, CA.
Google Scholar
[2]
Micolich, A. P., Taylor, R. P., Davies, A. G., Bird, J. P., Newbury, R., Fromhold, T. M., .. & Wilkinson, P. B. (2001). Evolution of fractal patterns during a classical-quantum transition. Physical Review Letters, 87(3), 036802.
DOI: 10.1103/physrevlett.87.036802
Google Scholar
[3]
Geisel, T., Nierwetberg, J., & Zacherl, A. (1985). Accelerated diffusion in Josephson junctions and related chaotic systems. Physical Review Letters, 54(7), 616-619.
DOI: 10.1103/physrevlett.54.616
Google Scholar
[4]
Stapf, S., & Kimmich, R. (1997). Translational mobility in surface induced liquid layers investigated by NMR diffusometry. Chemical physics letters, 275(3), 261-268.
DOI: 10.1016/s0009-2614(97)00727-6
Google Scholar
[5]
Mantegna, R. N., & Stanley, H. E. (1997). Econophysics: Scaling and its breakdown in finance. Journal of statistical Physics, 89(1-2), 469-479.
DOI: 10.1007/bf02770777
Google Scholar
[6]
Dubrulle, B., & Laval, J. P. (1998). Truncated Lévy laws and 2D turbulence. The European Physical Journal B-Condensed Matter and Complex Systems, 4(2), 143-146.
DOI: 10.1007/s100510050362
Google Scholar
[7]
Jha, R., Kaw, P. K., Kulkarni, D. R., & Parikh, J. C. (2003). Evidence of Lévy stable process in tokamak edge turbulence. Physics of Plasmas, 10(3), No699-704.
DOI: 10.1063/1.1541607
Google Scholar
[8]
Dorea, C. C., Guevara Otiniano, C. E., Matsushita, R., & Rathie, P. N. (2007). Lévy flight approximations for scaled transformations of random walks. Computational Statistics & Data Analysis, 51(12), 6343-6354.
DOI: 10.1016/j.csda.2007.01.019
Google Scholar
[9]
Mantegna, R. N., & Stanley, H. E. (1994). Stochastic process with ultraslow convergence to a Gaussian: the truncated Lévy flight. Physical Review Letters, 73(22), 2946.
DOI: 10.1103/physrevlett.73.2946
Google Scholar
[10]
Mantegna, R. N., & Stanley, H. E. (1995). Scaling behaviour in the dynamics of an economic index. Nature, 376(6535), 46-49.
DOI: 10.1038/376046a0
Google Scholar
[11]
Gupta, H. M., & Campanha, J. R. (1999). The gradually truncated Lévy flight for systems with power-law distributions. Physica A: Statistical Mechanics and its Applications, 268(1), 231- 239.
DOI: 10.1016/s0378-4371(99)00028-x
Google Scholar
[12]
Gupta, H. M., & Campanha, J. R. (2000). The gradually truncated Lévy flight: stochastic process for complex systems. Physica A: Statistical Mechanics and its Applications, 275(3), 531-543.
DOI: 10.1016/s0378-4371(99)00367-2
Google Scholar
[13]
Figueiredo, A. (2003). Exponentially damped Lévy flights, multiscaling, and exchange rates (No. 2003-2007). Universidade Federal do Rio Grande do Sul, Programa de Pós-Graduação em Economia.
DOI: 10.17515/resm2019.112ms0204
Google Scholar
[14]
Barthelemy, P., Bertolotti, J., & Wiersma, D. S. (2008). A Lévy flight for light. Nature, 453(7194), 495-498.
DOI: 10.1038/nature06948
Google Scholar
[15]
Pavlyukevich, I. (2007). Lévy flights, non-local search and simulated annealing. Journal of Computational Physics, 226(2), 1830-1844.
DOI: 10.1016/j.jcp.2007.06.008
Google Scholar
[16]
Viswanathan, G. M., Raposo, E. P., & Da Luz, M. G. E. (2008). Lévy flights and superdiffusion in the context of biological encounters and random searches. Physics of Life Reviews, 5(3), 133-150.
DOI: 10.1016/j.plrev.2008.03.002
Google Scholar
[17]
Zhou, J. L., & Sun, Y. S. (2001). Lévy flights in comet motion and related chaotic systems. Physics Letters A, 287(3), 217-222.
DOI: 10.1016/s0375-9601(01)00482-0
Google Scholar
[18]
Hanert, E. (2012). Front dynamics in a two-species competition model driven by Lévy flights. Journal of Theoretical Biology, 300, 134-142.
DOI: 10.1016/j.jtbi.2012.01.022
Google Scholar
[19]
Reible, D., & Mohanty, S. (2002). A levy flight—random walk model for bioturbation. Environmental toxicology and chemistry, 21(4), 875-881.
DOI: 10.1002/etc.5620210426
Google Scholar
[20]
Iomin, A., & Zaslavsky, G. M. (2002). Quantum manifestation of Lévy-type flights in a chaotic system. Chemical physics, 284(1), 3-11.
DOI: 10.1016/s0301-0104(02)00532-3
Google Scholar
[21]
Greenenko, A. A., Chechkin, A. V., & Shul'Ga, N. F. (2004). Anomalous diffusion and Lévy flights in channeling. Physics Letters A, 324(1), 82-85.
DOI: 10.1016/j.physleta.2004.02.053
Google Scholar
[22]
Figueroa-López, J. E., Gong, R., & Houdré, C. (2012). Small-time expansions of the distributions, densities, and option prices of stochastic volatility models with Lévy jumps. Stochastic Processes and their Applications, 122(4), 1808-1839.
DOI: 10.1016/j.spa.2012.01.013
Google Scholar
[23]
Matsuba, I., & Takahashi, H. (2003). Generalized entropy approach to stable Lévy distributions with financial application. Physica A: Statistical Mechanics and its Applications, 319, 458- 468.
DOI: 10.1016/s0378-4371(02)01451-6
Google Scholar
[24]
del-Castillo-Negrete, D., Gonchar, V. Y., & Chechkin, A. V. (2008). Fluctuation-driven directed transport in the presence of Lévy flights. Physica A: Statistical Mechanics and its Applications, 387(27), 6693-6704.
DOI: 10.1016/j.physa.2008.08.034
Google Scholar