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1. Full Text Fokker–Planck equations for stochastic dynamical systems with symmetric Lévy motions
by Gao, Ting and Duan, Jinqiao and Li, Xiaofan
Applied mathematics and computation, ISSN 0096-3003, 03/2016, Volume 278, pp. 1 - 20
Fractional Laplacian operator | Maximum principle | Fokker–Planck equation | Toeplitz matrix | α-stable symmetric Lévy motion | Non-Gaussian noise | Fokker-Planck equation | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Stochastic systems | Mathematical models | Non-Gaussian | Stochasticity | Dynamical systems | Symmetry
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2. Full Text Fractional Lévy stable motion: Finite difference iterative forecasting model
by Liu, He and Song, Wanqing and Li, Ming and Kudreyko, Aleksey and Zio, Enrico
Chaos, solitons and fractals, ISSN 0960-0779, 04/2020, Volume 133, p. 109632
Forecasting model | Long-range dependence | Fractional Lévy stable motion | Stochastic differential equation | Mathematics, Interdisciplinary Applications | Physical Sciences | Physics, Mathematical | Physics, Multidisciplinary | Mathematics | Physics | Science & Technology
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3. Full Text Tempered stable Lévy motion and transient super-diffusion
by Baeumer, Boris and Meerschaert, Mark M
Journal of computational and applied mathematics, ISSN 0377-0427, 2010, Volume 233, Issue 10, pp. 2438 - 2448
Fractional derivatives | Particle tracking | Power law | Truncated power law | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Numerical analysis. Scientific computation | Numerical analysis | Mathematical analysis | Exact sciences and technology | Real functions | Sciences and techniques of general use
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4. Full Text Is Network Traffic Approximated by Stable Lévy Motion or Fractional Brownian Motion?
by Thomas Mikosch and Sidney Resnick and Holger Rootzén and Alwin Stegeman
The Annals of applied probability, ISSN 1050-5164, 2/2002, Volume 12, Issue 1, pp. 23 - 68
Brownian motion | Cumulativity | Approximation | Traffic models | Traffic | Traffic measurement | Workloads | Random variables | Preprints | Perceptron convergence procedure | large deviations | scaling | Pareto tails | ON/OFF process | PERFORMANCE | infinite variance | cumulative input process | fractional Brownian motion | self-similarity | QUEUE | Gaussian approximation | heavy tails | workload process | LONG-RANGE DEPENDENCE | MODELS | input rate | stable Levy motion | regular variation | Stable Lévy motion | Infinite variance | Heavy tails | Large deviations | Input rate | Cumulative input process | Scaling | Regular variation | Workload process | Fractional Brownian motion | Self-similarity | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology
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5. Full Text Fractional Lévy stable motion time-changed by gamma subordinator
by Gajda, Janusz and Wylomanska, Agnieszka and Kumar, Arun
Communications in statistics. Theory and methods, ISSN 0361-0926, 12/2019, Volume 48, Issue 24, pp. 5953 - 5968
fractional Lévy stable motion | symmetric Lévy stable motion | gamma process | subordination | Parameter estimation | Volatility | Stochastic processes | Dependence | Process parameters | Codification | Trajectory analysis
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6. Full Text Fractional motions
by Eliazar, Iddo I and Shlesinger, Michael F
Physics reports, ISSN 0370-1573, 06/2013, Volume 527, Issue 2, pp. 101 - 129
Long-range correlations | Langevin’s equation | Super-diffusion | Fractional Lévy motion | Lévy motion | Noah exponent | Hurst exponent | Short-range correlations | Universality | Joseph exponent | Selfsimilarity | Brownian motion | Sub-diffusion | Random walks | Noah effect | Joseph effect | Fractional Brownian motion | Scaling limits | Fractal trajectories | Langevin's equation | Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology
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7. Full Text Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles
by Sliusarenko, Oleksii Yu and Vitali, Silvia and Sposini, Vittoria and Paradisi, Paolo and Chechkin, Aleksei and Castellani, Gastone and Pagnini, Gianni
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, 2/2019, Volume 52, Issue 9, p. 95601
heterogeneous ensemble of Brownian particles | fractional diffusion | Langevin equation | Gaussian processes | anomalous diffusion | biological transport | Lévy walk | Fractional diffusion | Biological transport | Anomalous diffusion | Heterogeneous ensemble of Brownian particles | Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology
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8. Full Text LÉVY FLIGHT SUPERDIFFUSION: AN INTRODUCTION
by DUBKOV, A. A and SPAGNOLO, B and UCHAIKIN, V. V
International journal of bifurcation and chaos in applied sciences and engineering, ISSN 0218-1274, 09/2008, Volume 18, Issue 9, pp. 2649 - 2672
Fractional differential equation | Barrier crossing | Lévy flights | Stable distributions | Lévy motion | Lévy process | Physics - Statistical Mechanics
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9. Full Text Generalized fractional Lévy processes with fractional Brownian motion limit
by Klüppelberg, Claudia and Matsui, Muneya
Advances in applied probability, ISSN 0001-8678, 12/2015, Volume 47, Issue 4, pp. 1108 - 1131
General Applied Probability | Fractional Ornstein-Uhlenbeck process | Shot-noise process | Generalized fractional Lévy process | Fractional Lévy process | Functional central limit theorem | Stochastic volatility model | Regular variation | Fractional Brownian motion | Statistics & Probability | Physical Sciences | Mathematics | Science & Technology | Studies | Mathematical functions | Approximation | Stochastic models | Volatility | Brownian movements | Kernels | Brownian motion | Ornstein-Uhlenbeck process | Mathematical analysis | Stochastic processes | Stochasticity | 60G22 | 62P20 | 60G51 | 91B28 | fractional Brownian motion | stochastic volatility model | functional central limit theorem | fractional Lévy process | 91B24 | fractional Ornstein-Uhlenbeck process | generalized fractional Lévy process | 60F17 | regular variation
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10. Full Text Fractional Dispersion, Lévy Motion, and the MADE Tracer Tests
by Benson, David A and Schumer, Rina and Meerschaert, Mark M and Wheatcraft, Stephen W
Transport in porous media, ISSN 0169-3913, 1/2001, Volume 42, Issue 1, pp. 211 - 240
Geotechnical Engineering | Lévy motion | Civil Engineering | fractional derivative | α-stable | Fokker-Planck equation | Mechanics, Fluids, Thermodynamics | heavy tails | MADE site | Geosciences | Hydrogeology | anomalous dispersion | fractional Laplacian | Industrial Chemistry/Chemical Engineering | Heavy tails | Fractional Laplacian | Anomalous dispersion | Fractional derivative | Engineering | Engineering, Chemical | Technology | Science & Technology | Tritium | Velocity distribution | Brownian movements | Aquifers
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11. Full Text Path integral approach to fractional Lévy motion
by Wio, Horacio S
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8113, 2/2013, Volume 46, Issue 11, pp. 115005 - 6
Brownian motion | fractional motions | anomalous diffusion | Physics, Multidisciplinary | Physical Sciences | Physics | Physics, Mathematical | Science & Technology | Derivation | Kinetic equations | Integrals | Mathematical analysis | Constraining
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