Download this PDF file Fullscreen Fullscreen Off
References
- Anderson, P. W. Absence of diffusion in certain random lattices. Phys. Rev. 109 (1958), 1492--1505.
- Astrauskas, A. Poisson-type limit theorems for eigenvalues of finite-volume Anderson Hamiltonians. Acta Appl. Math. 96 (2007), no. 1-3, 3--15. MR2327522
- Astrauskas, A. Extremal theory for spectrum of random discrete Schrödinger operator. I. Asymptotic expansion formulas. J. Stat. Phys. 131 (2008), no. 5, 867--916. MR2398957
- Astrauskas, A. Extremal theory for spectrum of random discrete Schrödinger operator. III. Localization properties. J. Stat. Phys. 150 (2013), no. 5, 889--907. MR3028390
- Gärtner, J.; König, W.; Molchanov, S. A. Geometric characterization of intermittency in the parabolic Anderson model. Ann. Probab. 35 (2007), no. 2, 439--499. MR2308585
- Gärtner, J.; Molchanov, S. A. Parabolic problems for the Anderson model. I. Intermittency and related topics. Comm. Math. Phys. 132 (1990), no. 3, 613--655. MR1069840
- Gärtner, J.; Molchanov, S. A. Parabolic problems for the Anderson model. II. Second-order asymptotics and structure of high peaks. Probab. Theory Related Fields 111 (1998), no. 1, 17--55. MR1626766
- Gärtner, J.; Schnitzler, A. Time correlations for the parabolic Anderson model. Electron. J. Probab. 16 (2011), no. 56, 1519--1548. MR2827469
- van der Hofstad, R.; König, W.; Mörters, P. The universality classes in the parabolic Anderson model. Comm. Math. Phys. 267 (2006), no. 2, 307--353. MR2249772
- van der Hofstad, R.; Mörters, P.; Sidorova, N. Weak and almost sure limits for the parabolic Anderson model with heavy tailed potentials. Ann. Appl. Probab. 18 (2008), no. 6, 2450--2494. MR2474543
- König, W.; Lacoin, H.; Mörters, P.; Sidorova, N. A two cities theorem for the parabolic Anderson model. Ann. Probab. 37 (2009), no. 1, 347--392. MR2489168
- Leadbetter, M. R.; Lindgren, G.; Rootzén, H. Extremes and related properties of random sequences and processes. Springer Series in Statistics. Springer-Verlag, New York-Berlin, 1983. xii+336 pp. ISBN: 0-387-90731-9 MR0691492
- Mörters, P.; Ortgiese, M.; Sidorova, N. Ageing in the parabolic Anderson model. Ann. Inst. Henri Poincaré Probab. Stat. 47 (2011), no. 4, 969--1000. MR2884220
- Sidorova, N.; Twarowski, A. Localisation and ageing in the parabolic Anderson model with Weibull potential. Ann. Probab. (to appear). arXiv:1204.1233
This work is licensed under a Creative Commons Attribution 3.0 License.