Almost sure asymptotics for the continuous parabolic Anderson model

Probability Theory and Related Fields

Volumn 118, Issue 4, 2000, Pages 547-573

  Gartner J ^a   Konig W ^a   Molchanov, S A ^b  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034552460     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00008754     Document Type: Article

References (8)

1. Adler, R.J.: An introduction to continuity, extrema, and related topics for general Gaussian processes. Hayward: Inst. Math. Stat. (1990)
2. Carmona, R.A., Molchanov, S.A.: Parabolic Anderson problem and intermittency. AMS Memoir 518, Providence RI: Amer. Math. Soc. (1994)
3. Carmona, R.A., Molchanov, S.A.: Stationary parabolic Anderson model and intermittency. Probab. Theory Relat. Fields, 102, 433-453 (1995)
4. Gärtner, J., den Hollander, F.: Correlation structure of intermittency in the parabolic Anderson model. Probab. Theory Relat. Fields, 114, 1-54 (1999)
5. Gärtner, J., König, W.: Moment asymptotics for the continuous parabolic Anderson model. Ann. Appl. Prob., 10, 192-217 (2000)
6. Gärtner J., Molchanov, S.A.: Parabolic problems for the Anderson model. II. Second-order asymptotics and structure of high peaks. Probab. Theory Relat. Fields, 111, 17-55 (1998)
7. Molchanov, S.A.: Lectures on random media. In: D. Bakry, R.D. Gill, and S.A. Molchanov, Lectures on Probability Theory, Ecole d'Eté de Probabilités de Saint-Flour XXII-1992, Lect. Notes in Math., 1581, pp. 242-411. Springer, Berlin (1994)
8. Sznitman, A.-S.: Brownian motion, obstacles and random media, Springer, Berlin (1998)