-
1
-
-
0000078998
-
From continuous time random walks to the fractional Fokker-Planck equation
-
Barkai, E., Metzler, R., Klafter, J.: From continuous time random walks to the fractional Fokker-Planck equation. Phys. Rev. E 61, 132-138 (2000).
-
(2000)
Phys. Rev. E
, vol.61
, pp. 132-138
-
-
Barkai, E.1
Metzler, R.2
Klafter, J.3
-
2
-
-
84868254061
-
Strange kinetics of single molecules in living cells
-
Barkai, E., Garini, Y., Metzler, R.: Strange kinetics of single molecules in living cells. Phys. Today 65(8), 29 (2012).
-
(2012)
Phys. Today
, vol.65
, Issue.8
, pp. 29
-
-
Barkai, E.1
Garini, Y.2
Metzler, R.3
-
3
-
-
34047148984
-
Operators associated with a stochastic differential equation driven by fractional Brownian motions
-
Baudoin, F., Coutin, L.: Operators associated with a stochastic differential equation driven by fractional Brownian motions. Stoch. Process. Appl. 117, 550-574 (2007).
-
(2007)
Stoch. Process. Appl.
, vol.117
, pp. 550-574
-
-
Baudoin, F.1
Coutin, L.2
-
4
-
-
68849112331
-
Transient anomalous diffusion of telomeres in the nucleus of mammalian cells
-
018102
-
Bronstein, I., Israel, Y., Kepten, E., Mai, S., Shav-Tal, Y., Barkai, E., Garini, Y.: Transient anomalous diffusion of telomeres in the nucleus of mammalian cells. Phys. Rev. Lett. 103, 018102 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.103
-
-
Bronstein, I.1
Israel, Y.2
Kepten, E.3
Mai, S.4
Shav-Tal, Y.5
Barkai, E.6
Garini, Y.7
-
5
-
-
35248828149
-
On the fluid limit of the continuous-time random walk with general Lévy jump distribution functions
-
041105
-
Cartea, Á., del-Castillo-Negrete, D.: On the fluid limit of the continuous-time random walk with general Lévy jump distribution functions. Phys. Rev. E 76, 041105 (2007).
-
(2007)
Phys. Rev. E
, vol.76
-
-
Cartea, Á.1
del-Castillo-Negrete, D.2
-
7
-
-
77954825229
-
Fractional Fokker-Planck equation with tempered α-stable waiting times: Langevin picture and computer simulation
-
011117
-
Gajda, J., Magdziarz, M.: Fractional Fokker-Planck equation with tempered α-stable waiting times: Langevin picture and computer simulation. Phys. Rev. E 82, 011117 (2010).
-
(2010)
Phys. Rev. E
, vol.82
-
-
Gajda, J.1
Magdziarz, M.2
-
8
-
-
84864614781
-
On a timed-changed geometric Brownian motion and its application in financial market
-
Gu, H., Liang, J.-R., Zhang, Y.-X.: On a timed-changed geometric Brownian motion and its application in financial market. Acta Phys. Pol. B 43, 1667-1681 (2012).
-
(2012)
Acta Phys. Pol. B
, vol.43
, pp. 1667-1681
-
-
Gu, H.1
Liang, J.-R.2
Zhang, Y.-X.3
-
9
-
-
78651327329
-
Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion
-
Hahn, M. G., Kobayashi, K., Umarov, S.: Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion. Proc. Am. Math. Soc. 139, 691-705 (2011).
-
(2011)
Proc. Am. Math. Soc.
, vol.139
, pp. 691-705
-
-
Hahn, M.G.1
Kobayashi, K.2
Umarov, S.3
-
10
-
-
79952830793
-
On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations
-
Hahn, M. G., Kobayashi, K., Ryvkina, J., Umarov, S.: On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations. Electron. Commun. Probab. 16, 150-164 (2011).
-
(2011)
Electron. Commun. Probab.
, vol.16
, pp. 150-164
-
-
Hahn, M.G.1
Kobayashi, K.2
Ryvkina, J.3
Umarov, S.4
-
11
-
-
79251477200
-
In vivo anomalous diffusion and weak ergodicity breaking of lipid granules
-
048103
-
Jeon, J.-H., Tejedor, V., Burov, S., Barkai, E., Selhuber-Unkel, C., Berg-Sørensen, K., Oddershede, L., Metzler, R.: In vivo anomalous diffusion and weak ergodicity breaking of lipid granules. Phys. Rev. Lett. 106, 048103 (2011).
-
(2011)
Phys. Rev. Lett.
, vol.106
-
-
Jeon, J.-H.1
Tejedor, V.2
Burov, S.3
Barkai, E.4
Selhuber-Unkel, C.5
Berg-Sørensen, K.6
Oddershede, L.7
Metzler, R.8
-
12
-
-
84868334608
-
Anomalous diffusion of phospholipids and cholesterols in a lipid bilayer and its origins
-
188103
-
Jeon, J.-H., Monne, H. M.-S., Javanainen, M., Metzler, R.: Anomalous diffusion of phospholipids and cholesterols in a lipid bilayer and its origins. Phys. Rev. Lett. 109, 188103 (2012).
-
(2012)
Phys. Rev. Lett.
, vol.109
-
-
Jeon, J.-H.1
Monne, H.M.-S.2
Javanainen, M.3
Metzler, R.4
-
13
-
-
0001187166
-
Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum
-
Kolmogorov, A. N.: Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum. C. R. (Dokl.) Acad. Sci. URSS (N. S.) 26, 115-118 (1940).
-
(1940)
C. R. (Dokl.) Acad. Sci. URSS (N.S.)
, vol.26
, pp. 115-118
-
-
Kolmogorov, A.N.1
-
14
-
-
54949102951
-
Stochastic modeling in nanoscale biophysics: subdiffusion within proteins
-
Kou, S. C.: Stochastic modeling in nanoscale biophysics: subdiffusion within proteins. Ann. Appl. Stat. 2, 501-535 (2008).
-
(2008)
Ann. Appl. Stat.
, vol.2
, pp. 501-535
-
-
Kou, S.C.1
-
15
-
-
19744382497
-
Generalized Langevin equation with fractional Gaussian noise: subdiffusion within a single protein molecule
-
180603
-
Kou, S. C., Xie, X. S.: Generalized Langevin equation with fractional Gaussian noise: subdiffusion within a single protein molecule. Phys. Rev. Lett. 93, 180603 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.93
-
-
Kou, S.C.1
Xie, X.S.2
-
16
-
-
84155189661
-
Fractional Fokker-Planck equation and Black-Scholes formula in composite-diffusive regime
-
Liang, J.-R., Wang, J., Lv, L.-J., Gu, H., Qiu, W.-Y., Ren, F.-Y.: Fractional Fokker-Planck equation and Black-Scholes formula in composite-diffusive regime. J. Stat. Phys. 146, 205-216 (2012).
-
(2012)
J. Stat. Phys.
, vol.146
, pp. 205-216
-
-
Liang, J.-R.1
Wang, J.2
Lv, L.-J.3
Gu, H.4
Qiu, W.-Y.5
Ren, F.-Y.6
-
17
-
-
69749117030
-
Stochastic representation of subdiffusion processes with time-dependent drift
-
Magdziarz, M.: Stochastic representation of subdiffusion processes with time-dependent drift. Stoch. Process. Appl. 119, 3238-3252 (2009).
-
(2009)
Stoch. Process. Appl.
, vol.119
, pp. 3238-3252
-
-
Magdziarz, M.1
-
18
-
-
84861498544
-
Anomalous dynamics of Black-Scholes model time-changed by inverse subordinators
-
Magdziarz, M., Gajda, J.: Anomalous dynamics of Black-Scholes model time-changed by inverse subordinators. Acta Phys. Pol. B 43, 1093-1110 (2012).
-
(2012)
Acta Phys. Pol. B
, vol.43
, pp. 1093-1110
-
-
Magdziarz, M.1
Gajda, J.2
-
19
-
-
33846621507
-
Fractional Fokker-Planck dynamics: stochastic representation and computer simulation
-
016708
-
Magdziarz, M., Weron, A., Weron, K.: Fractional Fokker-Planck dynamics: stochastic representation and computer simulation. Phys. Rev. E 75, 016708 (2007).
-
(2007)
Phys. Rev. E
, vol.75
-
-
Magdziarz, M.1
Weron, A.2
Weron, K.3
-
20
-
-
56849094437
-
Equivalence of the fractional Fokker-Planck and subordinated Langevin equations: the case of a time-dependent force
-
210601
-
Magdziarz, M., Weron, A., Klafter, J.: Equivalence of the fractional Fokker-Planck and subordinated Langevin equations: the case of a time-dependent force. Phys. Rev. Lett. 101, 210601 (2008).
-
(2008)
Phys. Rev. Lett.
, vol.101
-
-
Magdziarz, M.1
Weron, A.2
Klafter, J.3
-
21
-
-
0001407424
-
The fundamental solution of the space-time fractional diffusion equation
-
Mainardi, F., Luchko, Y., Pagnini, G.: The fundamental solution of the space-time fractional diffusion equation. Fract. Calc. Appl. Anal. 4(2), 153-192 (2001).
-
(2001)
Fract. Calc. Appl. Anal.
, vol.4
, Issue.2
, pp. 153-192
-
-
Mainardi, F.1
Luchko, Y.2
Pagnini, G.3
-
22
-
-
0000501589
-
Fractional Brownian motions, fractional noises and applications
-
Mandelbrot, B. B., van Ness, J. W.: Fractional Brownian motions, fractional noises and applications. SIAM Rev. 10, 422-437 (1968).
-
(1968)
SIAM Rev.
, vol.10
, pp. 422-437
-
-
Mandelbrot, B.B.1
van Ness, J.W.2
-
23
-
-
0002641421
-
The random walk's guide to anomalous diffusion: a fractional dynamics approach
-
Metzler, R., Klafter, J.: The random walk's guide to anomalous diffusion: a fractional dynamics approach. Phys. Rep. 339, 1-77 (2000).
-
(2000)
Phys. Rep.
, vol.339
, pp. 1-77
-
-
Metzler, R.1
Klafter, J.2
-
24
-
-
4043151477
-
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
-
Metzler, R., Klafter, J.: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics. J. Phys. A, Math. Gen. 37, R161-R208 (2004).
-
(2004)
J. Phys. A, Math. Gen.
, vol.37
-
-
Metzler, R.1
Klafter, J.2
-
25
-
-
2942662120
-
Ultrafine membrane compartments for molecular diffusion as revealed by single molecule techniques
-
Murase, K., Fujiwara, T., Umemura, Y., Suzuki, K., Iino, R., Yamashita, H., Saito, M., Murakoshi, H., Ritchie, K., Kusumi, A.: Ultrafine membrane compartments for molecular diffusion as revealed by single molecule techniques. Biophys. J. 86, 4075-4093 (2004).
-
(2004)
Biophys. J.
, vol.86
, pp. 4075-4093
-
-
Murase, K.1
Fujiwara, T.2
Umemura, Y.3
Suzuki, K.4
Iino, R.5
Yamashita, H.6
Saito, M.7
Murakoshi, H.8
Ritchie, K.9
Kusumi, A.10
-
26
-
-
13444309297
-
Models of anomalous diffusion: the subdiffusive case
-
Piryatinska, A., Saichev, A. I., Woyczynski, W. A.: Models of anomalous diffusion: the subdiffusive case. Physica A 349, 375-420 (2005).
-
(2005)
Physica A
, vol.349
, pp. 375-420
-
-
Piryatinska, A.1
Saichev, A.I.2
Woyczynski, W.A.3
-
27
-
-
34247641640
-
Tempering stable processes
-
Rosiński, J.: Tempering stable processes. Stoch. Process. Appl. 117, 677-707 (2007).
-
(2007)
Stoch. Process. Appl.
, vol.117
, pp. 677-707
-
-
Rosiński, J.1
-
30
-
-
56649084847
-
Diffusion and relaxation controlled by tempered α-stable processes
-
051106
-
Stanislavsky, A., Weron, K., Weron, A.: Diffusion and relaxation controlled by tempered α-stable processes. Phys. Rev. E 78, 051106 (2008).
-
(2008)
Phys. Rev. E
, vol.78
-
-
Stanislavsky, A.1
Weron, K.2
Weron, A.3
-
31
-
-
41349119353
-
Complete description of all self-similar models driven by Lévy stable noise
-
016113
-
Weron, A., Burnecki, K., Mercik, S., Weron, K.: Complete description of all self-similar models driven by Lévy stable noise. Phys. Rev. E 71, 016113 (2005).
-
(2005)
Phys. Rev. E
, vol.71
-
-
Weron, A.1
Burnecki, K.2
Mercik, S.3
Weron, K.4
-
32
-
-
84864426800
-
Arithmetic Brownian motion subordinated by tempered stable and inverse tempered stable processes
-
Wyłomańska, A.: Arithmetic Brownian motion subordinated by tempered stable and inverse tempered stable processes. Physica A 391, 5685-5696 (2012).
-
(2012)
Physica A
, vol.391
, pp. 5685-5696
-
-
Wyłomańska, A.1
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