-
1
-
-
84977586068
-
Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen
-
Einstein, A.: Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen. Ann. Phys. 322, 549-560 (1905).
-
(1905)
Ann. Phys.
, vol.322
, pp. 549-560
-
-
Einstein, A.1
-
2
-
-
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
-
3
-
-
65249178320
-
Anomalous diffusion as modeled by a nonstationary extension of Brownian motion
-
032101
-
Cushman, J. H., O'Malley, D., Park, M.: Anomalous diffusion as modeled by a nonstationary extension of Brownian motion. Phys. Rev. E 79, 032101 (2009).
-
(2009)
Phys. Rev. E
, vol.79
-
-
Cushman, J.H.1
O'Malley, D.2
Park, M.3
-
4
-
-
78651235765
-
Fractional Brownian motion run with a non-linear clock
-
032102
-
O'Malley, D., Cushman, J. H.: Fractional Brownian motion run with a non-linear clock. Phys. Rev. E 82, 032102 (2010).
-
(2010)
Phys. Rev. E
, vol.82
-
-
O'Malley, D.1
Cushman, J.H.2
-
5
-
-
33644885029
-
Physical nature of bacterial cytoplasm
-
098102
-
Golding, I., Cox, E. C.: Physical nature of bacterial cytoplasm. Phys. Rev. Lett. 96(9), 098102 (2006).
-
(2006)
Phys. Rev. Lett.
, vol.96
, Issue.9
-
-
Golding, I.1
Cox, E.C.2
-
6
-
-
37549057952
-
Anomalous diffusion with absorbing boundary
-
061121
-
Kantor, Y., Kardar, M.: Anomalous diffusion with absorbing boundary. Phys. Rev. E 76, 061121 (2007).
-
(2007)
Phys. Rev. E
, vol.76
-
-
Kantor, Y.1
Kardar, M.2
-
7
-
-
0040307478
-
Anomalous diffusion in disordered media: statistical mechanisms and physical applications
-
Bouchaud, J.-P., Georges, A.: Anomalous diffusion in disordered media: statistical mechanisms and physical applications. Phys. Rep. 195, 127-293 (1990).
-
(1990)
Phys. Rep.
, vol.195
, pp. 127-293
-
-
Bouchaud, J.-P.1
Georges, A.2
-
8
-
-
0000917473
-
Atmospheric diffusion shown on a distance-neighbour graph
-
Richardson, L. F.: Atmospheric diffusion shown on a distance-neighbour graph. Proc. R. Soc. Lond. Ser. A 110, 709-737 (1926).
-
(1926)
Proc. R. Soc. Lond. Ser. A
, vol.110
, pp. 709-737
-
-
Richardson, L.F.1
-
9
-
-
77953937789
-
Environmental context explains Levy and Brownian movement patterns of marine predators
-
Humphries, N. E., Queiroz, N., Dyer, J. R. M., Pade, N. G., Musyl, M. K., Schaefer, K. M., Fuller, D. W., Brunnschweiler, J. M., Doyle, T. K., Houghton, J. D. R., Hays, G. C., Jones, C. S., Noble, L. R., Wearmouth, V. J., Southall, E. J., Sims, D. W.: Environmental context explains Levy and Brownian movement patterns of marine predators. Nature 465, 1066-1069 (2010).
-
(2010)
Nature
, vol.465
, pp. 1066-1069
-
-
Humphries, N.E.1
Queiroz, N.2
Dyer, J.R.M.3
Pade, N.G.4
Musyl, M.K.5
Schaefer, K.M.6
Fuller, D.W.7
Brunnschweiler, J.M.8
Doyle, T.K.9
Houghton, J.D.R.10
Hays, G.C.11
Jones, C.S.12
Noble, L.R.13
Wearmouth, V.J.14
Southall, E.J.15
Sims, D.W.16
-
10
-
-
0029668502
-
Levy flight search patterns of wandering albatrosses
-
Viswanathan, G., Afanasyev, V., Buldyrev, S., Murphy, E. J., Prince, P. A., Stanley, H. E.: Levy flight search patterns of wandering albatrosses. Nature 381, 413-415 (1996).
-
(1996)
Nature
, vol.381
, pp. 413-415
-
-
Viswanathan, G.1
Afanasyev, V.2
Buldyrev, S.3
Murphy, E.J.4
Prince, P.A.5
Stanley, H.E.6
-
11
-
-
36849021413
-
Nonstationary increments, scaling distributions and variable diffusion processes in financial markets
-
Bassler, K. E., McCauley, J. L., Gunaratne, G. H.: Nonstationary increments, scaling distributions and variable diffusion processes in financial markets. Proc. Natl. Acad. Sci. 104, 17287-17290 (2007).
-
(2007)
Proc. Natl. Acad. Sci.
, vol.104
, pp. 17287-17290
-
-
Bassler, K.E.1
McCauley, J.L.2
Gunaratne, G.H.3
-
12
-
-
79953899199
-
Intraday volatility and scaling in high frequency foreign exchange markets
-
Seemann, L., McCauley, J. L., Gunaratne, G. H.: Intraday volatility and scaling in high frequency foreign exchange markets. Int. Rev. Financ. Anal. 20, 121-126 (2011).
-
(2011)
Int. Rev. Financ. Anal.
, vol.20
, pp. 121-126
-
-
Seemann, L.1
McCauley, J.L.2
Gunaratne, G.H.3
-
14
-
-
0141508296
-
Anomalous transit-time dispersion in amorphous solids
-
Scher, H., Montroll, E. W.: Anomalous transit-time dispersion in amorphous solids. Phys. Rev. B 12, 2455 (1975).
-
(1975)
Phys. Rev. B
, vol.12
, pp. 2455
-
-
Scher, H.1
Montroll, E.W.2
-
15
-
-
0000550285
-
Stochastic pathway to anomalous diffusion
-
Klafter, J., Blumen, A., Shlesinger, M. F.: Stochastic pathway to anomalous diffusion. Phys. Rev. A 35, 3081 (1987).
-
(1987)
Phys. Rev. A
, vol.35
, pp. 3081
-
-
Klafter, J.1
Blumen, A.2
Shlesinger, M.F.3
-
16
-
-
4043102385
-
Limit theorems for continuous time random walks with infinite mean waiting times
-
Meerschaert, M. M., Scheffler, H. P.: Limit theorems for continuous time random walks with infinite mean waiting times. J. Appl. Probab. 41, 623-638 (2004).
-
(2004)
J. Appl. Probab.
, vol.41
, pp. 623-638
-
-
Meerschaert, M.M.1
Scheffler, H.P.2
-
17
-
-
2142701138
-
Limit theorems for coupled continuous time random walks
-
Becker-Kern, P., Meerschaert, M. M., Scheffler, H. P.: Limit theorems for coupled continuous time random walks. Ann. Probab. 32, 730 (2004).
-
(2004)
Ann. Probab.
, vol.32
, pp. 730
-
-
Becker-Kern, P.1
Meerschaert, M.M.2
Scheffler, H.P.3
-
18
-
-
3242750610
-
Limit theorems for continuous-time random walks with two scales
-
Becker-Kern, P., Meerschaert, M. M., Scheffler, H. P.: Limit theorems for continuous-time random walks with two scales. J. Appl. Probab. 41, 455 (2004).
-
(2004)
J. Appl. Probab.
, vol.41
, pp. 455
-
-
Becker-Kern, P.1
Meerschaert, M.M.2
Scheffler, H.P.3
-
20
-
-
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 26, 115 (1940).
-
(1940)
C. R. (Dokl.) Acad. Sci. URSS
, vol.26
, pp. 115
-
-
Kolmogorov, A.N.1
-
21
-
-
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(4), 422-437 (1968).
-
(1968)
SIAM Rev.
, vol.10
, Issue.4
, pp. 422-437
-
-
Mandelbrot, B.B.1
van Ness, J.W.2
-
22
-
-
48849092363
-
Random time-scale invariant diffusion and transport coefficients
-
058101
-
He, Y., Burov, S., Metzler, R., Barkai, E.: Random time-scale invariant diffusion and transport coefficients. Phys. Rev. Lett. 101, 058101 (2008).
-
(2008)
Phys. Rev. Lett.
, vol.101
-
-
He, Y.1
Burov, S.2
Metzler, R.3
Barkai, E.4
-
23
-
-
46349096647
-
Nonergodicity mimics inhomogeneity in single particle tracking
-
250602
-
Lubelski, A., Sokolov, I. M., Klafter, J.: Nonergodicity mimics inhomogeneity in single particle tracking. Phys. Rev. Lett. 100, 250602 (2008).
-
(2008)
Phys. Rev. Lett.
, vol.100
-
-
Lubelski, A.1
Sokolov, I.M.2
Klafter, J.3
-
24
-
-
59349102367
-
Ergodic properties of fractional Brownian-Langevin motion
-
011112
-
Deng, W., Barkai, E.: Ergodic properties of fractional Brownian-Langevin motion. Phys. Rev. E 79, 011112 (2009).
-
(2009)
Phys. Rev. E
, vol.79
-
-
Deng, W.1
Barkai, E.2
-
25
-
-
79952185975
-
A stochastic model for anomalous diffusion in confined nano-films near a strain-induced critical point
-
doi:10.1016/j.advwatres.2011.01.005
-
Cushman, J. H., Park, M., O'Malley, D.: A stochastic model for anomalous diffusion in confined nano-films near a strain-induced critical point. Adv. Water Resour. (2011). doi: 10. 1016/j. advwatres. 2011. 01. 005.
-
(2011)
Adv. Water Resour.
-
-
Cushman, J.H.1
Park, M.2
O'Malley, D.3
-
26
-
-
78751668316
-
Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking
-
Burov, S., Jeon, J.-H., Metzler, R., Barkai, E.: Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking. Phys. Chem. Chem. Phys. 13, 1800-1812 (2011).
-
(2011)
Phys. Chem. Chem. Phys.
, vol.13
, pp. 1800-1812
-
-
Burov, S.1
Jeon, J.-H.2
Metzler, R.3
Barkai, E.4
-
27
-
-
4243659003
-
Anomalous diffusion in a lattice-gas wind-tree model
-
Kong, X. P., Cohen, E. G. D.: Anomalous diffusion in a lattice-gas wind-tree model. Phys. Rev. B 40, 4838 (1989).
-
(1989)
Phys. Rev. B
, vol.40
, pp. 4838
-
-
Kong, X.P.1
Cohen, E.G.D.2
-
29
-
-
78751485424
-
The complexity of Brownian processes run with non-linear clocks
-
Park, M., Cushman, J. H.: The complexity of Brownian processes run with non-linear clocks. Mod. Phys. Lett. B 25, 1-10 (2011).
-
(2011)
Mod. Phys. Lett. B
, vol.25
, pp. 1-10
-
-
Park, M.1
Cushman, J.H.2
-
30
-
-
3142681196
-
Fractional Brownian motion and long-range dependence
-
P. Doukhan, G. Oppenheim, and M. S. Taqqu (Eds.), Cambridge: Birkhauser
-
Taqqu, M. S.: Fractional Brownian motion and long-range dependence. In: Doukhan, P., Oppenheim, G., Taqqu, M. S. (eds.) Theory and Applications of Long Range Dependence. Birkhauser, Cambridge (2003).
-
(2003)
Theory and Applications of Long Range Dependence
-
-
Taqqu, M.S.1
-
31
-
-
79251477200
-
In vivo anomalous diffusion and weak ergodicity breaking of lipid granules
-
048103
-
Jeon, J., Tejedor, V., Burov, S., Barkai, E., Selhuber-Unkel, C., Berg-Sorenson, 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.1
Tejedor, V.2
Burov, S.3
Barkai, E.4
Selhuber-Unkel, C.5
Berg-Sorenson, K.6
Oddershede, L.7
Metzler, R.8
-
32
-
-
44449086377
-
Probing microscopic origins of confined subdiffusion by first-passage observables
-
Condamin, S., Tejedor, V., Voituriez, R., Bénichou, O., Klafter, J.: Probing microscopic origins of confined subdiffusion by first-passage observables. Proc. Natl. Acad. Sci. USA 105, 5675 (2008).
-
(2008)
Proc. Natl. Acad. Sci. USA
, vol.105
, pp. 5675
-
-
Condamin, S.1
Tejedor, V.2
Voituriez, R.3
Bénichou, O.4
Klafter, J.5
-
33
-
-
70350763863
-
Fractional Brownian motion versus the continuous-time random walk: A simple test for subdiffusive dynamics
-
180602
-
Magdziarz, M., Weron, A., Burnecki, K., Klafter, J.: Fractional Brownian motion versus the continuous-time random walk: A simple test for subdiffusive dynamics. Phys. Rev. Lett. 103, 180602 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.103
-
-
Magdziarz, M.1
Weron, A.2
Burnecki, K.3
Klafter, J.4
-
34
-
-
77950686225
-
Quantitative analysis of single particle trajectories: Mean maximal excursion method
-
Tejedor, V., Bénichou, O., Voituriez, R., Jungmann, R., Simmel, F., Selhuber-Unkel, C., Oddershede, L. B., Metzler, R.: Quantitative analysis of single particle trajectories: Mean maximal excursion method. Biophys. J. 98, 1364 (2010).
-
(2010)
Biophys. J.
, vol.98
, pp. 1364
-
-
Tejedor, V.1
Bénichou, O.2
Voituriez, R.3
Jungmann, R.4
Simmel, F.5
Selhuber-Unkel, C.6
Oddershede, L.B.7
Metzler, R.8
|