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Author ID: metzler.ralf Recent zbMATH articles by "Metzler, Ralf"
Published as: Metzler, Ralf; Metzler, R.
External Links: ORCID
all top 5

Co-Authors

3 single-authored
31 Chechkin, Aleksei V.
13 Sandev, Trifce
9 Klafter, Joseph
9 Nonnenmacher, Theo F.
6 Oshanin, Gleb
5 Cherstvy, Andrey G.
5 Godec, Aljaž
5 Sokolov, Igor’ Mikhaĭlovich
5 Xu, Yong
4 Dybiec, Bartłomiej
4 Jeon, Jae-Hyung
4 Tomovski, Živorad
3 Awad, Emad S.
3 Gonchar, Vsevolod Yu.
3 Grebenkov, Denis S.
3 Kantz, Holger
3 Kurths, Jürgen
3 Lomholt, Michael A.
3 Padash, Amin
3 Palyulin, Vladimir V.
3 Shokri, Babak
3 Tejedor, Vincent
2 Aghion, Erez
2 Bénichou, Olivier
2 Blumen, Alexander
2 Capała, Karol
2 Iomin, Alexander
2 Kocarev, Ljupco
2 Li, Yongge
2 Lim, Swee Cheng
2 Magdziarz, Marcin
2 Mutothya, Nicholas Mwilu
2 Schiessel, Helmut
2 Seno, Flavio
2 Sposini, Vittoria
2 Tanatarov, Leonid V.
2 Teomy, Eial
2 Thapa, Samudrajit
2 Voituriez, Raphaël
2 Wang, Wei
2 West, Bruce J.
2 Zan, Wanrong
1 Assaf, Michael
1 Bakk, Audun
1 Banik, Suman Kumar
1 Barkai, Eli
1 Blavatska, Viktoria
1 Burov, Stanislav
1 Butzer, Paul Leo
1 Chaudhury, Pinaki
1 Compte, Albert
1 Delvenne, Jean-Charles
1 Di Bello, C.
1 Dollinger, Jürgen W.
1 Domazetoski, Viktor
1 Douglas, Jack F.
1 Estrada, Ernesto
1 García-March, Miguel Ángel
1 Gerhold, Stefan
1 Glöckle, Walter G.
1 Grigolini, Paolo
1 Gudowska-Nowak, Ewa
1 Guggenberger, Tobias
1 Hanke, Andreas
1 Hartmann, Alexander K.
1 Hatano, Naomichi
1 Hilfer, Rudolf
1 Holcman, David
1 Kim, Yeongjin
1 Klages, Rainer
1 Koren, Tal
1 Krapf, Diego
1 Krüsemann, Henning
1 Lemaitre, Elisabeth
1 Lewenstein, Maciej
1 Li, Hua
1 Lindenberg, Katja
1 Liu, Xianbin
1 Lukat, N.
1 Mackey, Michael Charles
1 Manzo, Carlo
1 Marinari, Enzo
1 Mateos, José L.
1 Mattos, T. G.
1 Mejía-Monasterio, Carlos
1 Muñoz-Gil, Gorka
1 Nathan, Ran
1 Palmowski, Zbigniew
1 Park, Seongyu
1 Pavlyukevich, Ilya
1 Redner, Sidney
1 Riascos, Alejandro P.
1 Safdari, Hadiseh
1 Schad, Michaela
1 Schaub, Michael T.
1 Schehr, Grégory
1 Schulz, Johannes H. P.
1 Schwarzl, Maria
1 Selhuber-Unkel, C.
1 Ślęzak, Jakub Karol
...and 20 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 4,301 times in 3,387 Documents Cited by Year
Applications of fractional calculus in physics. Zbl 0998.26002
2000
The random walk’s guide to anomalous diffusion: A fractional dynamics approach. Zbl 0984.82032
Metzler, Ralf; Klafter, Joseph
2000
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics. Zbl 1075.82018
Metzler, Ralf; Klafter, Joseph
739
2004
Fractional dynamics. Recent advances. Zbl 1238.93005
104
2012
The generalized Cattaneo equation for the description of anomalous transport processes. Zbl 0941.82046
Compte, Albert; Metzler, Ralf
99
1997
Generalized viscoelastic models: Their fractional equations with solutions. Zbl 0921.73154
Schiessel, H.; Metzler, R.; Blumen, A.; Nonnenmacher, T. F.
91
1995
First-passage phenomena and their applications. Zbl 1291.00067
81
2014
Fractional diffusion equation with a generalized Riemann-Liouville time fractional derivative. Zbl 1301.82042
Sandev, Trifce; Metzler, Ralf; Tomovski, Živorad
67
2011
Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel. Zbl 1338.60199
Sandev, Trifce; Chechkin, Aleksei; Kantz, Holger; Metzler, Ralf
42
2015
First passage and arrival time densities for Lévy flights and the failure of the method of images. Zbl 1049.60090
Chechkin, Aleksei V.; Metzler, Ralf; Gonchar, Vsevolod Y.; Klafter, Joseph; Tanatarov, Leonid V.
39
2003
On the Riemann-Liouville fractional calculus and some recent applications. Zbl 0868.26004
Nonnenmacher, Theo F.; Metzler, Ralf
38
1995
Lévy flights in a steep potential well. Zbl 1157.82305
Chechkin, Aleksei V.; Gonchar, Vsevolod Yu.; Klafter, Joseph; Metzler, Ralf; Tanatarov, Leonid V.
34
2004
From continuous time random walks to the generalized diffusion equation. Zbl 1499.35683
Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei
31
2018
Fractional relaxation processes and fractional rheological models for the description of a class of viscoelastic materials. Zbl 1090.74673
Metzler, Ralf; Nonnenmacher, Theo F.
23
2003
Aging and nonergodicity beyond the Khinchin theorem. Zbl 1205.82113
Burov, S.; Metzler, R.; Barkai, E.
22
2010
Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise. Zbl 1291.82097
Sandev, Trifce; Metzler, Ralf; Tomovski, Živorad
20
2014
Beyond monofractional kinetics. Zbl 1374.45016
Sandev, Trifce; Sokolov, Igor M.; Metzler, Ralf; Chechkin, Aleksei
19
2017
First passage time statistics for two-channel diffusion. Zbl 1459.82230
Godec, Aljaž; Metzler, Ralf
18
2017
Anomalous diffusion in correlated continuous time random walks. Zbl 1189.82082
Tejedor, Vincent; Metzler, Ralf
16
2010
Fractional Brownian motion with random diffusivity: emerging residual nonergodicity below the correlation time. Zbl 1519.82101
Wang, Wei; Cherstvy, Andrey G.; Chechkin, Aleksei V.; Thapa, Samudrajit; Seno, Flavio; Liu, Xianbin; Metzler, Ralf
15
2020
Comb model with slow and ultraslow diffusion. Zbl 1386.60287
Sandev, T.; Iomin, A.; Kantz, H.; Metzler, R.; Chechkin, A.
14
2016
Velocity and displacement correlation functions for fractional generalized Langevin equations. Zbl 1274.82045
Sandev, Trifce; Metzler, Ralf; Tomovski, Živorad
14
2012
From the Langevin equation to the fractional Fokker-Planck equation. Zbl 0972.82065
Metzler, Ralf; Klafter, Joseph
13
2000
Brownian motion and beyond: first-passage, power spectrum, non-Gaussianity, and anomalous diffusion. Zbl 1457.82343
Metzler, Ralf
13
2019
First passage statistics for diffusing diffusivity. Zbl 1422.82019
Sposini, Vittoria; Chechkin, Aleksei; Metzler, Ralf
13
2019
First-passage properties of asymmetric Lévy flights. Zbl 1509.60106
Padash, Amin; Chechkin, Aleksei V.; Dybiec, Bartlomiej; Pavlyukevich, Ilya; Shokri, Babak; Metzler, Ralf
13
2019
Quantifying the non-ergodicity of scaled Brownian motion. Zbl 1329.82096
Safdari, Hadiseh; Cherstvy, Andrey G.; Chechkin, Aleksei V.; Thiel, Felix; Sokolov, Igor M.; Metzler, Ralf
12
2015
Localisation and universal fluctuations in ultraslow diffusion processes. Zbl 1305.60074
Godec, Aljaž; Chechkin, Aleksei V.; Barkai, Eli; Kantz, Holger; Metzler, Ralf
12
2014
Resetting dynamics in a confining potential. Zbl 1519.82098
Singh, R. K.; Metzler, R.; Sandev, T.
12
2020
Some fundamental aspects of Lévy flights. Zbl 1142.82341
Metzler, Ralf; Chechkin, Aleksei V.; Gonchar, Vsevolod Yu.; Klafter, Joseph
11
2007
Non-uniqueness of the first passage time density of Lévy random processes. Zbl 1071.60033
Sokolov, Igor M.; Metzler, Ralf
10
2004
Applications of fractional calculus techniques to problems in biophysics. Zbl 0984.92005
Nonnenmacher, Theo F.; Metzler, Ralf
9
2000
Ageing and confinement in non-ergodic heterogeneous diffusion processes. Zbl 1351.37018
Cherstvy, Andrey G.; Chechkin, Aleksei V.; Metzler, Ralf
9
2014
Analysis of short subdiffusive time series: scatter of the time-averaged mean-squared displacement. Zbl 1192.82037
Jeon, Jae-Hyung; Metzler, Ralf
9
2010
Heterogeneous diffusion with stochastic resetting. Zbl 1505.82046
Sandev, Trifce; Domazetoski, Viktor; Kocarev, Ljupco; Metzler, Ralf; Chechkin, Aleksei
9
2022
Preface: new trends in first-passage methods and applications in the life sciences and engineering. Zbl 07642059
9
2020
Residual mean first-passage time for jump processes: theory and applications to Lévy flights and fractional Brownian motion. Zbl 1220.82054
Tejedor, V.; Bénichou, O.; Metzler, Ralf; Voituriez, R.
8
2011
Space-fractional Fokker-Planck equation and optimization of random search processes in the presence of an external bias. Zbl 1456.82784
Palyulin, Vladimir V.; Chechkin, Aleksei V.; Metzler, Ralf
8
2014
Search reliability and search efficiency of combined Lévy-Brownian motion: long relocations mingled with thorough local exploration. Zbl 1350.60044
Palyulin, Vladimir V.; Chechkin, Aleksei V.; Klages, Rainer; Metzler, Ralf
8
2016
Backbone diffusion and first-passage dynamics in a comb structure with confining branches under stochastic resetting. Zbl 1519.60100
Singh, R. K.; Sandev, T.; Iomin, A.; Metzler, R.
8
2021
A single predator charging a herd of prey: effects of self volume and predator-prey decision-making. Zbl 1342.92200
Schwarzl, Maria; Godec, Aljaz; Oshanin, Gleb; Metzler, Ralf
7
2016
Crossover dynamics from superdiffusion to subdiffusion: models and solutions. Zbl 1439.35519
Awad, Emad; Metzler, Ralf
7
2020
Correlated continuous time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics. Zbl 1305.60032
Schulz, Johannes H. P.; Chechkin, Aleksei V.; Metzler, Ralf
7
2013
Universality classes for asymptotic behavior of relaxation processes in systems with dynamical disorder: Dynamical generalizations of stretched exponential. Zbl 0872.60097
Vlad, Marcel Ovidiu; Metzler, Ralf; Nonnenmacher, Theo F.; Mackey, Michael C.
6
1996
Ageing first passage time density in continuous time random walks and quenched energy landscapes. Zbl 1372.60065
Krüsemann, Henning; Godec, Aljaž; Metzler, Ralf
6
2015
Correlated continuous-time random walks – scaling limits and Langevin picture. Zbl 1459.82270
Magdziarz, Marcin; Metzler, Ralf; Szczotka, Wladyslaw; Zebrowski, Piotr
6
2012
Random multi-hopper model: super-fast random walks on graphs. Zbl 1462.05328
Estrada, Ernesto; Delvenne, Jean-Charles; Hatano, Naomichi; Mateos, José L.; Metzler, Ralf; Riascos, Alejandro P.; Schaub, Michael T.
6
2018
First-passage problem for stochastic differential equations with combined parametric Gaussian and Lévy white noises via path integral method. Zbl 07503736
Zan, Wanrong; Xu, Yong; Metzler, Ralf; Kurths, Jürgen
6
2021
Bi-asymptotic fractals: Fractals between lower and upper bounds. Zbl 0930.37005
Dollinger, Jürgen W.; Metzler, Ralf; Nonnenmacher, Theo F.
5
1998
Active transport improves the precision of linear long distance molecular signalling. Zbl 1353.82063
Godec, Aljaž; Metzler, Ralf
5
2016
Fractional diffusion: Exact representations of spectral functions. Zbl 1001.82538
Metzler, R.; Nonnenmacher, T. F.
5
1997
Exact first-passage time distributions for three random diffusivity models. Zbl 1519.60077
Grebenkov, Denis S.; Sposini, Vittoria; Metzler, Ralf; Oshanin, Gleb; Seno, Flavio
5
2021
Fractional Brownian motion in superharmonic potentials and non-Boltzmann stationary distributions. Zbl 1519.60116
Guggenberger, Tobias; Chechkin, Aleksei; Metzler, Ralf
5
2021
Encounter distribution of two random walkers on a finite one-dimensional interval. Zbl 1225.82028
Tejedor, Vincent; Schad, Michaela; Bénichou, Olivier; Voituriez, Raphael; Metzler, Ralf
4
2011
Lévy meets Boltzmann: strange initial conditions for Brownian and fractional Fokker-Planck equations. Zbl 0979.82050
Metzler, Ralf; Klafter, Joseph
4
2001
Bubble dynamics in DNA. Zbl 1073.92502
Hanke, Andreas; Metzler, Ralf
4
2003
Conservative random walks in confining potentials. Zbl 1422.60074
Dybiec, Bartłomiej; Capała, Karol; Chechkin, Aleksei V.; Metzler, Ralf
4
2019
Ergodicity breaking, ageing, and confinement in generalized diffusion processes with position and time dependent diffusivity. Zbl 1456.82763
Cherstvy, Andrey G.; Metzler, Ralf
4
2015
First passage time moments of asymmetric Lévy flights. Zbl 1519.60049
Padash, Amin; Chechkin, Aleksei V.; Dybiec, Bartłomiej; Magdziarz, Marcin; Shokri, Babak; Metzler, Ralf
4
2020
Stochastic dynamics driven by combined Lévy-Gaussian noise: fractional Fokker-Planck-Kolmogorov equation and solution. Zbl 1519.60064
Zan, Wanrong; Xu, Yong; Kurths, Jürgen; Chechkin, Aleksei V.; Metzler, Ralf
4
2020
A remark on the Neugebauer-Meinel rotating disk solution of general relativity. Zbl 1072.83502
Metzler, R.
3
1996
“Fractional tuning” of the Riccati equation. Zbl 0913.34011
Metzler, R.; Glöckle, W. G.; Nonnenmacher, T. F.; West, B. J.
3
1997
Bulk-mediated surface diffusion on a cylinder in the fast exchange limit. Zbl 1267.82112
Chechkin, A. V.; Zaid, I. M.; Lomholt, M. A.; Sokolov, I. M.; Metzler, R.
3
2013
Classification of anomalous diffusion in animal movement data using power spectral analysis. Zbl 1511.92099
Vilk, Ohad; Aghion, Erez; Nathan, Ran; Toledo, Sivan; Metzler, Ralf; Assaf, Michael
3
2022
Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise. Zbl 1519.60119
Mutothya, Nicholas Mwilu; Xu, Yong; Li, Yongge; Metzler, Ralf
3
2021
Time averaging, ageing and delay analysis of financial time series. Zbl 1516.91042
Cherstvy, Andrey G.; Vinod, Deepak; Aghion, Erez; Chechkin, Aleksei V.; Metzler, Ralf
3
2017
And did he search for you, and could not find you? Zbl 1186.68149
Metzler, Ralf; Koren, Tal; van den Broek, Bram; Wuite, Gijs J. L.; Lomholt, Michael A.
2
2009
Anomalous diffusion and fractional transport equations. Zbl 1297.35277
Metzler, Ralf; Jeon, Jae-Hyung
2
2012
Conformational properties of complex polymers: rosette versus star-like structures. Zbl 1330.92093
Blavatska, V.; Metzler, R.
2
2015
Speeding up the first-passage for subdiffusion by introducing a finite potential barrier. Zbl 1285.82046
Palyulin, Vladimir V.; Metzler, Ralf
2
2014
Closed-form multi-dimensional solutions and asymptotic behaviours for subdiffusive processes with crossovers. II: Accelerating case. Zbl 1506.35259
Awad, Emad; Metzler, Ralf
2
2022
Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers. I: Retarding case. Zbl 1506.35260
Awad, Emad; Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei
2
2021
Preface: Marian Smoluchowski’s 1916 paper – a century of inspiration. Zbl 1375.01039
1
2017
Lévy noise-driven escape from arctangent potential wells. Zbl 1451.34078
Capała, Karol; Padash, Amin; Chechkin, Aleksei V.; Shokri, Babak; Metzler, Ralf; Dybiec, Bartłomiej
1
2020
Bayesian inference of scaled versus fractional Brownian motion. Zbl 1506.62361
Thapa, Samudrajit; Park, Seongyu; Kim, Yeongjin; Jeon, Jae-Hyung; Metzler, Ralf; Lomholt, Michael A.
1
2022
Fractional characteristic functions, and a fractional calculus approach for moments of random variables. Zbl 1503.26013
Tomovski, Živorad; Metzler, Ralf; Gerhold, Stefan
1
2022
Transport in exclusion processes with one-step memory: density dependence and optimal acceleration. Zbl 1504.82046
Teomy, Eial; Metzler, Ralf
1
2019
Stochastic dynamics with multiplicative dichotomic noise: heterogeneous telegrapher’s equation, anomalous crossovers and resetting. Zbl 1508.60069
Sandev, Trifce; Kocarev, Ljupco; Metzler, Ralf; Chechkin, Aleksei
1
2022
Preface: Characterisation of physical processes from anomalous diffusion data. Zbl 07657031
1
2023
The role of ergodicity in anomalous stochastic processes: analysis of single-particle trajectories. Zbl 1267.82101
Metzler, Ralf; Jeon, Jae-Hyung
1
2012
Correlations and transport in exclusion processes with general finite memory. Zbl 1457.82269
Teomy, Eial; Metzler, Ralf
1
2019
Preface: Characterisation of physical processes from anomalous diffusion data. Zbl 07657031
1
2023
Heterogeneous diffusion with stochastic resetting. Zbl 1505.82046
Sandev, Trifce; Domazetoski, Viktor; Kocarev, Ljupco; Metzler, Ralf; Chechkin, Aleksei
9
2022
Classification of anomalous diffusion in animal movement data using power spectral analysis. Zbl 1511.92099
Vilk, Ohad; Aghion, Erez; Nathan, Ran; Toledo, Sivan; Metzler, Ralf; Assaf, Michael
3
2022
Closed-form multi-dimensional solutions and asymptotic behaviours for subdiffusive processes with crossovers. II: Accelerating case. Zbl 1506.35259
Awad, Emad; Metzler, Ralf
2
2022
Bayesian inference of scaled versus fractional Brownian motion. Zbl 1506.62361
Thapa, Samudrajit; Park, Seongyu; Kim, Yeongjin; Jeon, Jae-Hyung; Metzler, Ralf; Lomholt, Michael A.
1
2022
Fractional characteristic functions, and a fractional calculus approach for moments of random variables. Zbl 1503.26013
Tomovski, Živorad; Metzler, Ralf; Gerhold, Stefan
1
2022
Stochastic dynamics with multiplicative dichotomic noise: heterogeneous telegrapher’s equation, anomalous crossovers and resetting. Zbl 1508.60069
Sandev, Trifce; Kocarev, Ljupco; Metzler, Ralf; Chechkin, Aleksei
1
2022
Backbone diffusion and first-passage dynamics in a comb structure with confining branches under stochastic resetting. Zbl 1519.60100
Singh, R. K.; Sandev, T.; Iomin, A.; Metzler, R.
8
2021
First-passage problem for stochastic differential equations with combined parametric Gaussian and Lévy white noises via path integral method. Zbl 07503736
Zan, Wanrong; Xu, Yong; Metzler, Ralf; Kurths, Jürgen
6
2021
Exact first-passage time distributions for three random diffusivity models. Zbl 1519.60077
Grebenkov, Denis S.; Sposini, Vittoria; Metzler, Ralf; Oshanin, Gleb; Seno, Flavio
5
2021
Fractional Brownian motion in superharmonic potentials and non-Boltzmann stationary distributions. Zbl 1519.60116
Guggenberger, Tobias; Chechkin, Aleksei; Metzler, Ralf
5
2021
Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise. Zbl 1519.60119
Mutothya, Nicholas Mwilu; Xu, Yong; Li, Yongge; Metzler, Ralf
3
2021
Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers. I: Retarding case. Zbl 1506.35260
Awad, Emad; Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei
2
2021
Fractional Brownian motion with random diffusivity: emerging residual nonergodicity below the correlation time. Zbl 1519.82101
Wang, Wei; Cherstvy, Andrey G.; Chechkin, Aleksei V.; Thapa, Samudrajit; Seno, Flavio; Liu, Xianbin; Metzler, Ralf
15
2020
Resetting dynamics in a confining potential. Zbl 1519.82098
Singh, R. K.; Metzler, R.; Sandev, T.
12
2020
Preface: new trends in first-passage methods and applications in the life sciences and engineering. Zbl 07642059
9
2020
Crossover dynamics from superdiffusion to subdiffusion: models and solutions. Zbl 1439.35519
Awad, Emad; Metzler, Ralf
7
2020
First passage time moments of asymmetric Lévy flights. Zbl 1519.60049
Padash, Amin; Chechkin, Aleksei V.; Dybiec, Bartłomiej; Magdziarz, Marcin; Shokri, Babak; Metzler, Ralf
4
2020
Stochastic dynamics driven by combined Lévy-Gaussian noise: fractional Fokker-Planck-Kolmogorov equation and solution. Zbl 1519.60064
Zan, Wanrong; Xu, Yong; Kurths, Jürgen; Chechkin, Aleksei V.; Metzler, Ralf
4
2020
Lévy noise-driven escape from arctangent potential wells. Zbl 1451.34078
Capała, Karol; Padash, Amin; Chechkin, Aleksei V.; Shokri, Babak; Metzler, Ralf; Dybiec, Bartłomiej
1
2020
Brownian motion and beyond: first-passage, power spectrum, non-Gaussianity, and anomalous diffusion. Zbl 1457.82343
Metzler, Ralf
13
2019
First passage statistics for diffusing diffusivity. Zbl 1422.82019
Sposini, Vittoria; Chechkin, Aleksei; Metzler, Ralf
13
2019
First-passage properties of asymmetric Lévy flights. Zbl 1509.60106
Padash, Amin; Chechkin, Aleksei V.; Dybiec, Bartlomiej; Pavlyukevich, Ilya; Shokri, Babak; Metzler, Ralf
13
2019
Conservative random walks in confining potentials. Zbl 1422.60074
Dybiec, Bartłomiej; Capała, Karol; Chechkin, Aleksei V.; Metzler, Ralf
4
2019
Transport in exclusion processes with one-step memory: density dependence and optimal acceleration. Zbl 1504.82046
Teomy, Eial; Metzler, Ralf
1
2019
Correlations and transport in exclusion processes with general finite memory. Zbl 1457.82269
Teomy, Eial; Metzler, Ralf
1
2019
From continuous time random walks to the generalized diffusion equation. Zbl 1499.35683
Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei
31
2018
Random multi-hopper model: super-fast random walks on graphs. Zbl 1462.05328
Estrada, Ernesto; Delvenne, Jean-Charles; Hatano, Naomichi; Mateos, José L.; Metzler, Ralf; Riascos, Alejandro P.; Schaub, Michael T.
6
2018
Beyond monofractional kinetics. Zbl 1374.45016
Sandev, Trifce; Sokolov, Igor M.; Metzler, Ralf; Chechkin, Aleksei
19
2017
First passage time statistics for two-channel diffusion. Zbl 1459.82230
Godec, Aljaž; Metzler, Ralf
18
2017
Time averaging, ageing and delay analysis of financial time series. Zbl 1516.91042
Cherstvy, Andrey G.; Vinod, Deepak; Aghion, Erez; Chechkin, Aleksei V.; Metzler, Ralf
3
2017
Preface: Marian Smoluchowski’s 1916 paper – a century of inspiration. Zbl 1375.01039
1
2017
Comb model with slow and ultraslow diffusion. Zbl 1386.60287
Sandev, T.; Iomin, A.; Kantz, H.; Metzler, R.; Chechkin, A.
14
2016
Search reliability and search efficiency of combined Lévy-Brownian motion: long relocations mingled with thorough local exploration. Zbl 1350.60044
Palyulin, Vladimir V.; Chechkin, Aleksei V.; Klages, Rainer; Metzler, Ralf
8
2016
A single predator charging a herd of prey: effects of self volume and predator-prey decision-making. Zbl 1342.92200
Schwarzl, Maria; Godec, Aljaz; Oshanin, Gleb; Metzler, Ralf
7
2016
Active transport improves the precision of linear long distance molecular signalling. Zbl 1353.82063
Godec, Aljaž; Metzler, Ralf
5
2016
Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel. Zbl 1338.60199
Sandev, Trifce; Chechkin, Aleksei; Kantz, Holger; Metzler, Ralf
42
2015
Quantifying the non-ergodicity of scaled Brownian motion. Zbl 1329.82096
Safdari, Hadiseh; Cherstvy, Andrey G.; Chechkin, Aleksei V.; Thiel, Felix; Sokolov, Igor M.; Metzler, Ralf
12
2015
Ageing first passage time density in continuous time random walks and quenched energy landscapes. Zbl 1372.60065
Krüsemann, Henning; Godec, Aljaž; Metzler, Ralf
6
2015
Ergodicity breaking, ageing, and confinement in generalized diffusion processes with position and time dependent diffusivity. Zbl 1456.82763
Cherstvy, Andrey G.; Metzler, Ralf
4
2015
Conformational properties of complex polymers: rosette versus star-like structures. Zbl 1330.92093
Blavatska, V.; Metzler, R.
2
2015
First-passage phenomena and their applications. Zbl 1291.00067
81
2014
Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise. Zbl 1291.82097
Sandev, Trifce; Metzler, Ralf; Tomovski, Živorad
20
2014
Localisation and universal fluctuations in ultraslow diffusion processes. Zbl 1305.60074
Godec, Aljaž; Chechkin, Aleksei V.; Barkai, Eli; Kantz, Holger; Metzler, Ralf
12
2014
Ageing and confinement in non-ergodic heterogeneous diffusion processes. Zbl 1351.37018
Cherstvy, Andrey G.; Chechkin, Aleksei V.; Metzler, Ralf
9
2014
Space-fractional Fokker-Planck equation and optimization of random search processes in the presence of an external bias. Zbl 1456.82784
Palyulin, Vladimir V.; Chechkin, Aleksei V.; Metzler, Ralf
8
2014
Speeding up the first-passage for subdiffusion by introducing a finite potential barrier. Zbl 1285.82046
Palyulin, Vladimir V.; Metzler, Ralf
2
2014
Correlated continuous time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics. Zbl 1305.60032
Schulz, Johannes H. P.; Chechkin, Aleksei V.; Metzler, Ralf
7
2013
Bulk-mediated surface diffusion on a cylinder in the fast exchange limit. Zbl 1267.82112
Chechkin, A. V.; Zaid, I. M.; Lomholt, M. A.; Sokolov, I. M.; Metzler, R.
3
2013
Fractional dynamics. Recent advances. Zbl 1238.93005
104
2012
Velocity and displacement correlation functions for fractional generalized Langevin equations. Zbl 1274.82045
Sandev, Trifce; Metzler, Ralf; Tomovski, Živorad
14
2012
Correlated continuous-time random walks – scaling limits and Langevin picture. Zbl 1459.82270
Magdziarz, Marcin; Metzler, Ralf; Szczotka, Wladyslaw; Zebrowski, Piotr
6
2012
Anomalous diffusion and fractional transport equations. Zbl 1297.35277
Metzler, Ralf; Jeon, Jae-Hyung
2
2012
The role of ergodicity in anomalous stochastic processes: analysis of single-particle trajectories. Zbl 1267.82101
Metzler, Ralf; Jeon, Jae-Hyung
1
2012
Fractional diffusion equation with a generalized Riemann-Liouville time fractional derivative. Zbl 1301.82042
Sandev, Trifce; Metzler, Ralf; Tomovski, Živorad
67
2011
Residual mean first-passage time for jump processes: theory and applications to Lévy flights and fractional Brownian motion. Zbl 1220.82054
Tejedor, V.; Bénichou, O.; Metzler, Ralf; Voituriez, R.
8
2011
Encounter distribution of two random walkers on a finite one-dimensional interval. Zbl 1225.82028
Tejedor, Vincent; Schad, Michaela; Bénichou, Olivier; Voituriez, Raphael; Metzler, Ralf
4
2011
Aging and nonergodicity beyond the Khinchin theorem. Zbl 1205.82113
Burov, S.; Metzler, R.; Barkai, E.
22
2010
Anomalous diffusion in correlated continuous time random walks. Zbl 1189.82082
Tejedor, Vincent; Metzler, Ralf
16
2010
Analysis of short subdiffusive time series: scatter of the time-averaged mean-squared displacement. Zbl 1192.82037
Jeon, Jae-Hyung; Metzler, Ralf
9
2010
And did he search for you, and could not find you? Zbl 1186.68149
Metzler, Ralf; Koren, Tal; van den Broek, Bram; Wuite, Gijs J. L.; Lomholt, Michael A.
2
2009
Some fundamental aspects of Lévy flights. Zbl 1142.82341
Metzler, Ralf; Chechkin, Aleksei V.; Gonchar, Vsevolod Yu.; Klafter, Joseph
11
2007
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics. Zbl 1075.82018
Metzler, Ralf; Klafter, Joseph
739
2004
Lévy flights in a steep potential well. Zbl 1157.82305
Chechkin, Aleksei V.; Gonchar, Vsevolod Yu.; Klafter, Joseph; Metzler, Ralf; Tanatarov, Leonid V.
34
2004
Non-uniqueness of the first passage time density of Lévy random processes. Zbl 1071.60033
Sokolov, Igor M.; Metzler, Ralf
10
2004
First passage and arrival time densities for Lévy flights and the failure of the method of images. Zbl 1049.60090
Chechkin, Aleksei V.; Metzler, Ralf; Gonchar, Vsevolod Y.; Klafter, Joseph; Tanatarov, Leonid V.
39
2003
Fractional relaxation processes and fractional rheological models for the description of a class of viscoelastic materials. Zbl 1090.74673
Metzler, Ralf; Nonnenmacher, Theo F.
23
2003
Bubble dynamics in DNA. Zbl 1073.92502
Hanke, Andreas; Metzler, Ralf
4
2003
Lévy meets Boltzmann: strange initial conditions for Brownian and fractional Fokker-Planck equations. Zbl 0979.82050
Metzler, Ralf; Klafter, Joseph
4
2001
Applications of fractional calculus in physics. Zbl 0998.26002
2000
The random walk’s guide to anomalous diffusion: A fractional dynamics approach. Zbl 0984.82032
Metzler, Ralf; Klafter, Joseph
2000
From the Langevin equation to the fractional Fokker-Planck equation. Zbl 0972.82065
Metzler, Ralf; Klafter, Joseph
13
2000
Applications of fractional calculus techniques to problems in biophysics. Zbl 0984.92005
Nonnenmacher, Theo F.; Metzler, Ralf
9
2000
Bi-asymptotic fractals: Fractals between lower and upper bounds. Zbl 0930.37005
Dollinger, Jürgen W.; Metzler, Ralf; Nonnenmacher, Theo F.
5
1998
The generalized Cattaneo equation for the description of anomalous transport processes. Zbl 0941.82046
Compte, Albert; Metzler, Ralf
99
1997
Fractional diffusion: Exact representations of spectral functions. Zbl 1001.82538
Metzler, R.; Nonnenmacher, T. F.
5
1997
“Fractional tuning” of the Riccati equation. Zbl 0913.34011
Metzler, R.; Glöckle, W. G.; Nonnenmacher, T. F.; West, B. J.
3
1997
Universality classes for asymptotic behavior of relaxation processes in systems with dynamical disorder: Dynamical generalizations of stretched exponential. Zbl 0872.60097
Vlad, Marcel Ovidiu; Metzler, Ralf; Nonnenmacher, Theo F.; Mackey, Michael C.
6
1996
A remark on the Neugebauer-Meinel rotating disk solution of general relativity. Zbl 1072.83502
Metzler, R.
3
1996
Generalized viscoelastic models: Their fractional equations with solutions. Zbl 0921.73154
Schiessel, H.; Metzler, R.; Blumen, A.; Nonnenmacher, T. F.
91
1995
On the Riemann-Liouville fractional calculus and some recent applications. Zbl 0868.26004
Nonnenmacher, Theo F.; Metzler, Ralf
38
1995
all top 5

Cited by 4,254 Authors

83 Wang, Hong
58 Liu, Fawang
47 Deng, Weihua
44 Meerschaert, Mark Marvin
40 Zheng, Xiangcheng
38 Metzler, Ralf
37 Sandev, Trifce
35 Anh, Vo V.
31 Wei, Ting
30 Băleanu, Dumitru I.
30 Turner, Ian William
27 Kaminski Lenzi, Ervin
26 Li, Changpin
24 Chechkin, Aleksei V.
24 Dehghan Takht Fooladi, Mehdi
24 Sun, Hongguang
23 Ahmad, Bashir
23 Chen, Yangquan
23 Karniadakis, George Em
21 Burrage, Kevin
21 Zhou, Zhi
20 Abbaszadeh, Mostafa
20 Povstenko, Yuriy Z.
19 Eliazar, Iddo I.
18 Tarasov, Vasily E.
17 Al-saedi, Ahmed Eid Salem
17 Chen, Wen
17 Dybiec, Bartłomiej
17 Fu, Hongfei
17 Mainardi, Francesco
17 Pagnini, Gianni
17 Tomovski, Živorad
17 Yamamoto, Masahiro
16 Duan, Jinqiao
16 Jiang, Xiaoyun
16 Magdziarz, Marcin
15 Feng, Libo
15 Henry, Bruce I.
15 Jin, Bangti
15 Sun, Zhizhong
15 Trujillo, Juan J.
15 Vougalter, Vitali
15 Xu, Yong
14 Grebenkov, Denis S.
14 Jia, Jinhong
14 Mohebbi, Akbar
14 Yang, Xiao-Jun
14 Zhou, Yong
13 Bäumer, Boris
13 D’Elia, Marta
13 Iomin, Alexander
13 Leonenko, Nikolai N.
13 Nguyen Huy Tuan
13 Scheffler, Hans-Peter
13 Wang, Yuanming
13 Wu, Guocheng
13 Zheng, Guanghui
12 Ding, Hengfei
12 Du, Ning
12 Du, Qiang
12 Ge, Fudong
12 Khaliq, Abdul Q. M.
12 Liu, Yanqin
12 Peng, Jigen
12 Saxena, Ram Kishore
12 Sousa, Ercília
12 Umarov, Sabir R.
12 Zayernouri, Mohsen
12 Zhang, Yong
11 Angstmann, Christopher N.
11 Barkai, Eli
11 Cattani, Carlo
11 Furati, Khaled M.
11 Gorenflo, Rudolf
11 Płociniczak, Łukasz
11 Sun, Liangliang
11 Teng, Kaimin
11 Yang, Zhiwei
11 Zeng, Fanhai
11 Zheng, Liancun
10 Atangana, Abdon
10 Gu, Xian-Ming
10 Gunzburger, Max D.
10 Li, Can
10 Liang, Yingjie
10 Liu, Huan
10 Lu, Shujuan
10 Nepomnyashchy, Alexander A.
10 O’Regan, Donal
10 Qi, Haitao
10 Wu, Yujiang
10 Zacher, Rico
10 Zhang, Zhimin
9 Balachandran, Krishnan
9 Chen, Changming
9 Cui, Mingrong
9 de Oliveira, Edmundo Capelas
9 Gajda, Janusz
9 Garra, Roberto
9 Kirane, Mokhtar
...and 4,154 more Authors
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Cited in 420 Serials

140 Journal of Physics A: Mathematical and Theoretical
139 Physica A
137 Computers & Mathematics with Applications
133 Fractional Calculus & Applied Analysis
107 Applied Mathematics and Computation
94 Chaos, Solitons and Fractals
92 Journal of Computational Physics
84 Communications in Nonlinear Science and Numerical Simulation
82 Journal of Computational and Applied Mathematics
70 Journal of Statistical Physics
70 Journal of Statistical Mechanics: Theory and Experiment
66 Journal of Mathematical Physics
64 Journal of Scientific Computing
53 Advances in Difference Equations
51 Applied Numerical Mathematics
46 International Journal of Computer Mathematics
42 Journal of Mathematical Analysis and Applications
39 Mathematical Methods in the Applied Sciences
39 Applied Mathematical Modelling
35 Numerical Algorithms
35 Abstract and Applied Analysis
35 Chaos
34 Computational and Applied Mathematics
31 Numerical Methods for Partial Differential Equations
29 Nonlinear Dynamics
28 Applicable Analysis
27 Inverse Problems
27 SIAM Journal on Scientific Computing
27 Fractals
26 Advances in Mathematical Physics
25 SIAM Journal on Numerical Analysis
25 Applied Mathematics Letters
25 Mathematical Modelling of Natural Phenomena
24 Journal of Differential Equations
21 Journal of Applied Mathematics and Computing
19 Mathematical Problems in Engineering
19 Boundary Value Problems
18 Computer Methods in Applied Mechanics and Engineering
17 Mathematics and Computers in Simulation
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Discrete and Continuous Dynamical Systems. Series B
16 Physics Letters. A
16 Bulletin of Mathematical Biology
16 Stochastic Processes and their Applications
16 The European Physical Journal B. Condensed Matter and Complex Systems
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
14 SIAM Journal on Mathematical Analysis
14 Journal of Inverse and Ill-Posed Problems
14 Journal of Evolution Equations
14 Inverse Problems in Science and Engineering
14 Journal of Function Spaces
13 Physica D
13 Engineering Analysis with Boundary Elements
12 Acta Mechanica
12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
12 Mediterranean Journal of Mathematics
11 Advances in Computational Mathematics
11 Journal of Mathematical Chemistry
11 Discrete and Continuous Dynamical Systems. Series S
11 AIMS Mathematics
10 BIT
10 Journal of Vibration and Control
10 Communications on Pure and Applied Analysis
10 Multiscale Modeling & Simulation
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Mathematics
9 SIAM Journal on Applied Mathematics
9 Nonlinear Analysis. Real World Applications
9 Journal of Theoretical Biology
9 Fractional Differential Calculus
9 East Asian Journal on Applied Mathematics
9 International Journal of Applied and Computational Mathematics
8 Journal of Functional Analysis
8 Journal of Optimization Theory and Applications
8 Proceedings of the American Mathematical Society
8 Statistics & Probability Letters
8 Journal of Nonlinear Science
8 Cybernetics and Systems Analysis
8 Discrete Dynamics in Nature and Society
8 International Journal of Nonlinear Sciences and Numerical Simulation
8 Communications on Applied Mathematics and Computation
7 International Journal of Modern Physics B
7 Theoretical and Mathematical Physics
7 Mathematics of Computation
7 Meccanica
7 Computational Mechanics
7 Lobachevskii Journal of Mathematics
7 Nonlinear Analysis. Modelling and Control
7 Inverse Problems and Imaging
6 Computer Physics Communications
6 International Journal of Theoretical Physics
6 The Annals of Probability
6 Numerical Functional Analysis and Optimization
6 SIAM Journal on Control and Optimization
6 Journal of Integral Equations and Applications
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Communications in Statistics. Theory and Methods
6 Potential Analysis
6 NoDEA. Nonlinear Differential Equations and Applications
6 Bulletin des Sciences Mathématiques
...and 320 more Serials
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Cited in 51 Fields

1,872 Partial differential equations (35-XX)
1,112 Numerical analysis (65-XX)
704 Real functions (26-XX)
640 Probability theory and stochastic processes (60-XX)
518 Statistical mechanics, structure of matter (82-XX)
463 Ordinary differential equations (34-XX)
195 Fluid mechanics (76-XX)
190 Integral equations (45-XX)
184 Biology and other natural sciences (92-XX)
176 Operator theory (47-XX)
142 Special functions (33-XX)
115 Mechanics of deformable solids (74-XX)
88 Calculus of variations and optimal control; optimization (49-XX)
84 Dynamical systems and ergodic theory (37-XX)
82 Quantum theory (81-XX)
82 Systems theory; control (93-XX)
71 Classical thermodynamics, heat transfer (80-XX)
63 Statistics (62-XX)
59 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
58 Integral transforms, operational calculus (44-XX)
39 Measure and integration (28-XX)
36 Approximations and expansions (41-XX)
36 Functional analysis (46-XX)
33 Harmonic analysis on Euclidean spaces (42-XX)
26 Information and communication theory, circuits (94-XX)
25 Global analysis, analysis on manifolds (58-XX)
24 Combinatorics (05-XX)
24 Computer science (68-XX)
24 Mechanics of particles and systems (70-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
23 Optics, electromagnetic theory (78-XX)
20 Geophysics (86-XX)
18 Difference and functional equations (39-XX)
18 Operations research, mathematical programming (90-XX)
6 General and overarching topics; collections (00-XX)
6 Number theory (11-XX)
5 Sequences, series, summability (40-XX)
4 History and biography (01-XX)
4 Functions of a complex variable (30-XX)
4 Potential theory (31-XX)
4 Relativity and gravitational theory (83-XX)
4 Astronomy and astrophysics (85-XX)
3 Abstract harmonic analysis (43-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Differential geometry (53-XX)
2 Mathematics education (97-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)

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