12 where we used the property due to the independence of the motion in each coordinate direction. We also note that the expression 〈 ( δ $^{2}$(Δ , T ) 2 〉 − 〈 δ $^{2}$(Δ , T ) 〉 2 simplifies to From Eqs. (B4) and (B6), the ergodicity breaking parameter follows the general relation ∑ i,j 〈 [ x H i ( t$_{1}$ + Δ) − x H i ( t$_{1}$ )] $^{2}$〉〈 [ x H j ( t$_{2}$ + Δ) − x H j ( t$_{2}$ )] $^{2}$〉 = d $^{2}$〈 [ x $^{H}$( t$_{1}$ + Δ) − x $^{H}$( t$_{1}$ )] $^{2}$〉〈 [ x $^{H}$( t$_{2}$ + Δ) − x $^{H}$( t$_{2}$ )] $^{2}$〉 (B5) 〈 ( δ $^{2}$(Δ , T ) 2 〉 − 〈 δ $^{2}$〉 2 = 2 ( T − Δ) 2 d ∑ i =1 ∫ T − Δ 0 ∫ T − Δ 0 〈 [ x H i ( t$_{1}$ + Δ) − x H i ( t$_{1}$ )] × [ x H i ( t$_{2}$ + Δ) − x H i ( t$_{2}$ )] 〉 $^{2}$dt$_{1}$ dt$_{2}$ = d [ 〈 ( δ $^{2}$)$^{2}$〉$_{1}$$_{D}$ − 〈 δ $^{2}$〉 2 1 $_{D}$] . (B6) E$_{B}$ ( d ) = 〈 ( δ $^{2}$(Δ , T ) 2 〉 − 〈 δ $^{2}$(Δ , T ) 〉 2 〈 δ $^{2}$(Δ , T ) 〉 2 = E$_{B}$ ( d = 1) d . (B7) [1] R. Metzler and J. Klafter, Phys. Rep. 339 1 (2000); J. Phys. A 37 , R161 (2004). [2] H. Scher and E. W. Montroll, Phys. Rev. B 12 , 2455 (1975). [3] J. W. Kirchner, X. Feng, and C. Neal, Nature 403 , 524 (2000); H. Scher, G. Margolin, R. Metzler, J. Klafter, and B. Berkowitz, Geophys. Res. Lett. 29 , 1061 (2002). [4] F. Mainardi, M. Raberto, R. Gorenflo, and E. Scalas, Physica A 287 , 468 (2000). [5] I. Y. Wong, M. L. Gardel, D. R. Reichman, E. R. Weeks, M. T. Valentine, A. R. Bausch, and D. A. Weitz, Phys. Rev. Lett. 92 , 178101 (2004). [6] E. Fischer, R. Kimmich, and N. Fatkullin, J. Chem. Phys. 104 , 9174 (1996). [7] E. R. Weeks, J. C. Crocker, A. C. Levitt, A. Schofield, and D. A. Weitz, Science 287 , 627 (2000). [8] I. Golding and E. C. Cox, Phys. Rev. Lett. 96 , 098102 (2006). [9] I. M. Toli´ c-Nørrelykke, E. L. Munteanu, G. Thon, L. Oddershede, and K. Berg-Sørensen, Phys. Rev. Lett. 93 , 078102 (2004). [10] A. Caspi, R. Granek, and M. Elbaum, Phys. Rev. Lett. 85 , 5655 (2000); Phys. Rev. E. 66 , 011916 (2002). [11] G. Seisenberger, M. U. Ried, T. Endreß, H. B¨ uning, M. Hallek, and C. Br¨ auchle, Science 294 , 1929 (2001). [12] I. Bronstein, Y. Israel, E. Kepten, S. Mai, Y. Shav-Tal, E. Barkai, and Y. Garini, Phys. Rev. Lett. 103 , 018102 (2009). [13] M. Weiss, M. Elsner, F. Kartberg, and T. Nilsson, Bio- phys. J. 87 , 3518 (2004); M. Weiss, H. Hashimoto, and T. Nilsson, ibid. 84 , 4043 (2003). Note: HeLa cells be- long to an immortal cell line derived from cancer cells originally taken from Henrietta Lacks in 1951. [14] V. Tejedor and R. Metzler (unpublished). [15] S. Havlin and D. ben-Avraham, Adv. Physics 36 , 695 (1987). [16] A. Klemm, R. Metzler, and R. Kimmich, Phys. Rev. E 65 , 021112 (2002). [17] G. M. Molchan, Commun. Math. Phys. 205 , 97 (1999). [18] I. Goychuk and P. H¨ anggi, Phys. Rev. Lett. 99 , 200601 (2007). [19] S. Chaudhury and B. J. Cherayil, J. Chem. Phys. 125 , 024906 (2006); S. Chaudhury, D. Chatterjee, and B. J. Cherayil, ibid . 129 , 075104 (2008). [20] O. Yu. Slyusarenko, V. Yu. Gonchar, A. V. Chechkin, I. M. Sokolov, and R. Metzler (unpublished). [21] I. Goychuk, Phys. Rev. E 80 , 046125 (2009). [22] S. Burov and E. Barkai, Phys. Rev. Lett. 100 , 070601 (2008). [23] Y. He, S. Burov, R. Metzler, and E. Barkai, Phys. Rev. Lett. 101 , 058101 (2008); A. Lubelski, I. M. Sokolov, and J. Klafter, ibid. 100 , 250602 (2008). [24] R. Metzler, V. Tejedor, J.-H. Jeon, Y. He, W. Deng, S. Burov, and E. Barkai, Acta Phys. Polon. B 40 , 1315 (2009). [25] W. Deng and E. Barkai, Phys. Rev. E 79 , 011112 (2009). [26] J.-D. Bao, P. H¨ anggi, and Y.-Z. Zhuo, Phys. Rev. E. 72 , 061107 (2005). [27] S. Burov, R. Metzler, and E. Barkai (unpublished). [28] T. Neusius, I. M. Sokolov, and J. C. Smith, Phy. Rev. E 80 , 011109 (2009). [29] A. N. Kolmogorov, Doklady Akademii Nauk SSSR (N.S.) 26 , 115 (1940). [30] A. M. Yaglom, American Mathematical Society Transla- tions Series 2 8 , 87 (1958). [31] B. B. Mandelbrot, Comptes Rendus (Paris) 260 , 3274 (1965). [32] B. B. Mandelbrot and J. W. van Ness, SIAM Rev. 10 422 (1968).