Lemaitre, Elisabeth; Sokolov, Igor M.; Metzler, Ralf; Chechkin, Aleksei V. Non-Gaussian displacement distributions in models of heterogeneous active particle dynamics. (English) Zbl 1510.60076 New J. Phys. 25, No. 1, Article ID 013010, 22 p. (2023). MSC: 60J60 82B24 PDFBibTeX XMLCite \textit{E. Lemaitre} et al., New J. Phys. 25, No. 1, Article ID 013010, 22 p. (2023; Zbl 1510.60076) Full Text: DOI arXiv
Tomovski, Živorad; Metzler, Ralf; Gerhold, Stefan Fractional characteristic functions, and a fractional calculus approach for moments of random variables. (English) Zbl 1503.26013 Fract. Calc. Appl. Anal. 25, No. 4, 1307-1323 (2022). MSC: 26A33 60E10 33E12 44A10 44A20 PDFBibTeX XMLCite \textit{Ž. Tomovski} et al., Fract. Calc. Appl. Anal. 25, No. 4, 1307--1323 (2022; Zbl 1503.26013) Full Text: DOI
Awad, Emad; Metzler, Ralf Closed-form multi-dimensional solutions and asymptotic behaviours for subdiffusive processes with crossovers. II: Accelerating case. (English) Zbl 1506.35259 J. Phys. A, Math. Theor. 55, No. 20, Article ID 205003, 29 p. (2022). MSC: 35R11 60K50 PDFBibTeX XMLCite \textit{E. Awad} and \textit{R. Metzler}, J. Phys. A, Math. Theor. 55, No. 20, Article ID 205003, 29 p. (2022; Zbl 1506.35259) Full Text: DOI
Singh, R. K.; Sandev, T.; Iomin, A.; Metzler, R. Backbone diffusion and first-passage dynamics in a comb structure with confining branches under stochastic resetting. (English) Zbl 1519.60100 J. Phys. A, Math. Theor. 54, No. 40, Article ID 404006, 21 p. (2021). MSC: 60J70 60G40 PDFBibTeX XMLCite \textit{R. K. Singh} et al., J. Phys. A, Math. Theor. 54, No. 40, Article ID 404006, 21 p. (2021; Zbl 1519.60100) Full Text: DOI arXiv
Awad, Emad; Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers. I: Retarding case. (English) Zbl 1506.35260 Chaos Solitons Fractals 152, Article ID 111357, 18 p. (2021). MSC: 35R11 60K50 PDFBibTeX XMLCite \textit{E. Awad} et al., Chaos Solitons Fractals 152, Article ID 111357, 18 p. (2021; Zbl 1506.35260) Full Text: DOI
Zan, Wanrong; Xu, Yong; Kurths, Jürgen; Chechkin, Aleksei V.; Metzler, Ralf Stochastic dynamics driven by combined Lévy-Gaussian noise: fractional Fokker-Planck-Kolmogorov equation and solution. (English) Zbl 1519.60064 J. Phys. A, Math. Theor. 53, No. 38, Article ID 385001, 32 p. (2020). MSC: 60H35 60H40 35R11 35R60 60H15 65C05 60G51 26A33 PDFBibTeX XMLCite \textit{W. Zan} et al., J. Phys. A, Math. Theor. 53, No. 38, Article ID 385001, 32 p. (2020; Zbl 1519.60064) Full Text: DOI
Padash, Amin; Chechkin, Aleksei V.; Dybiec, Bartłomiej; Magdziarz, Marcin; Shokri, Babak; Metzler, Ralf First passage time moments of asymmetric Lévy flights. (English) Zbl 1519.60049 J. Phys. A, Math. Theor. 53, No. 27, Article ID 275002, 43 p. (2020). MSC: 60G65 60G51 PDFBibTeX XMLCite \textit{A. Padash} et al., J. Phys. A, Math. Theor. 53, No. 27, Article ID 275002, 43 p. (2020; Zbl 1519.60049) Full Text: DOI arXiv
Awad, Emad; Metzler, Ralf Crossover dynamics from superdiffusion to subdiffusion: models and solutions. (English) Zbl 1439.35519 Fract. Calc. Appl. Anal. 23, No. 1, 55-102 (2020). MSC: 35R11 35K57 33E12 PDFBibTeX XMLCite \textit{E. Awad} and \textit{R. Metzler}, Fract. Calc. Appl. Anal. 23, No. 1, 55--102 (2020; Zbl 1439.35519) Full Text: DOI
Padash, Amin; Chechkin, Aleksei V.; Dybiec, Bartlomiej; Pavlyukevich, Ilya; Shokri, Babak; Metzler, Ralf First-passage properties of asymmetric Lévy flights. (English) Zbl 1509.60106 J. Phys. A, Math. Theor. 52, No. 45, Article ID 454004, 48 p. (2019). MSC: 60G51 PDFBibTeX XMLCite \textit{A. Padash} et al., J. Phys. A, Math. Theor. 52, No. 45, Article ID 454004, 48 p. (2019; Zbl 1509.60106) Full Text: DOI arXiv
Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei From continuous time random walks to the generalized diffusion equation. (English) Zbl 1499.35683 Fract. Calc. Appl. Anal. 21, No. 1, 10-28 (2018). MSC: 35R11 26A33 33E12 34A08 PDFBibTeX XMLCite \textit{T. Sandev} et al., Fract. Calc. Appl. Anal. 21, No. 1, 10--28 (2018; Zbl 1499.35683) Full Text: DOI
Sandev, T.; Iomin, A.; Kantz, H.; Metzler, R.; Chechkin, A. Comb model with slow and ultraslow diffusion. (English) Zbl 1386.60287 Math. Model. Nat. Phenom. 11, No. 3, 18-33 (2016). MSC: 60J70 82C41 60G50 PDFBibTeX XMLCite \textit{T. Sandev} et al., Math. Model. Nat. Phenom. 11, No. 3, 18--33 (2016; Zbl 1386.60287) Full Text: DOI arXiv
Palyulin, Vladimir V.; Chechkin, Aleksei V.; Metzler, Ralf Space-fractional Fokker-Planck equation and optimization of random search processes in the presence of an external bias. (English) Zbl 1456.82784 J. Stat. Mech. Theory Exp. 2014, No. 11, Paper No. P11031, 32 p. (2014). MSC: 82C31 60G50 60G51 60J70 60K99 PDFBibTeX XMLCite \textit{V. V. Palyulin} et al., J. Stat. Mech. Theory Exp. 2014, No. 11, Paper No. P11031, 32 p. (2014; Zbl 1456.82784) Full Text: DOI arXiv
Sandev, Trifce; Metzler, Ralf; Tomovski, Živorad Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise. (English) Zbl 1291.82097 J. Math. Phys. 55, No. 2, 023301, 23 p. (2014). MSC: 82C31 PDFBibTeX XMLCite \textit{T. Sandev} et al., J. Math. Phys. 55, No. 2, 023301, 23 p. (2014; Zbl 1291.82097) Full Text: DOI
Sandev, Trifce; Metzler, Ralf; Tomovski, Živorad Velocity and displacement correlation functions for fractional generalized Langevin equations. (English) Zbl 1274.82045 Fract. Calc. Appl. Anal. 15, No. 3, 426-450 (2012). MSC: 82C31 33E12 34A08 PDFBibTeX XMLCite \textit{T. Sandev} et al., Fract. Calc. Appl. Anal. 15, No. 3, 426--450 (2012; Zbl 1274.82045) Full Text: DOI
Metzler, Ralf; Klafter, Joseph The random walk’s guide to anomalous diffusion: A fractional dynamics approach. (English) Zbl 0984.82032 Phys. Rep. 339, No. 1, 1-77 (2000). MSC: 82C31 82C70 PDFBibTeX XMLCite \textit{R. Metzler} and \textit{J. Klafter}, Phys. Rep. 339, No. 1, 1--77 (2000; Zbl 0984.82032) Full Text: DOI