The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  1. Arnold, Ludwig. Hasselmann's program revisited: the analysis of stochasticity in deterministic climate models. Stochastic climate models (Chorin, 1999), 141--157, Progr. Probab., 49, Birkhäuser, Basel, 2001. MR1948294 (2003j:86007)
  2. Bingham, N. H.; Goldie, C. M.; Teugels, J. L. Regular variation.Encyclopedia of Mathematics and its Applications, 27. Cambridge University Press, Cambridge, 1987. xx+491 pp. ISBN: 0-521-30787-2 MR0898871 (88i:26004)
  3. M. Claussen, L. A. Mysak, A. J. Weaver, M. Crucix, T. Fichefet, M.-F. Loutre, S. L. Weber, J. Alcamo, V. A. Alexeev, A. Berger, R. Calov, A. Ganopolski, H. Goosse, G. Lohmann, F. Lunkeit, I. I. Mokhov, V. Petoukhov, P. Stone, Z. Wang, Earth System Models of Intermediate Complexity: Closing the gap in the spectrum of climate system models, Climate Dynamics, 18, (2002), 579-586, DOI 10.1007/s00382-001-0200-1.
  4. A. Debussche, M. Högele, P. Imkeller. Metastability for the Chafee-Infante equation with small heavy-tailed LÈvy noise, (to appear), 2011.
  5. P. D. Ditlevsen, Observation of a stable noise induced millennial climate changes from an ice-core record}, Geophysical Research Letters, 26 (10) (1999), 1441-1444.
  6. P. D. Ditlevsen, Anomalous jumping in a double-well potential, Physical Review E, 60(1) (1999), 172-179, 1999.
  7. Eden, A.; Foias, C.; Nicolaenko, B.; Temam, R. Exponential attractors for dissipative evolution equations.RAM: Research in Applied Mathematics, 37. Masson, Paris; John Wiley & Sons, Ltd., Chichester, 1994. viii+183 pp. ISBN: 2-225-84306-8 MR1335230 (96i:34148)
  8. Faris, William G.; Jona-Lasinio, Giovanni. Large fluctuations for a nonlinear heat equation with noise. J. Phys. A 15 (1982), no. 10, 3025--3055. MR0684578 (84j:81073)
  9. V. V. Godovanchuk. Asymptotic probabilities of large deviations due to large jumps of a Markov process (English translation), Theory of Probab Appl. 26 (2) (1981-1982), 314-327.
  10. Henry, Daniel B. Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations. J. Differential Equations 59 (1985), no. 2, 165--205. MR0804887 (86m:58080)
  11. Henry. D. Geometric theory of semilinear parabolic equations, Lecture notes in Mathematics, 840. Springer-Verlag, Berlin-New York, 1981.
  12. Hult, Henrik; Lindskog, Filip. Regular variation for measures on metric spaces. Publ. Inst. Math. (Beograd) (N.S.) 80(94) (2006), 121--140. MR2281910 (2008g:28016)
  13. Imkeller, Peter. Energy balance models—viewed from stochastic dynamics. Stochastic climate models (Chorin, 1999), 213--240, Progr. Probab., 49, Birkhäuser, Basel, 2001. MR1948298 (2003k:86014)
  14. Imkeller, Peter; Pavlyukevich, Ilya. Metastable behaviour of small noise Lévy-driven diffusions. ESAIM Probab. Stat. 12 (2008), 412--437. MR2437717 (2010b:60141)
  15. Imkeller, P.; Pavlyukevich, I. First exit times of SDEs driven by stable Lévy processes. Stochastic Process. Appl. 116 (2006), no. 4, 611--642. MR2205118 (2007e:60046)
  16. Peszat, S.; Zabczyk, J. Stochastic partial differential equations with Lévy noise.An evolution equation approach.Encyclopedia of Mathematics and its Applications, 113. Cambridge University Press, Cambridge, 2007. xii+419 pp. ISBN: 978-0-521-87989-7 MR2356959 (2009b:60200)
  17. Raugel. G. Global attractors in partial differential equations, Fiedler, Bernold (ed.), Handbook of dynamical systems. Vol 2, 885-982, North-Holland, Amsterdam, 2002.
  18. Walters, Peter. An introduction to ergodic theory.Graduate Texts in Mathematics, 79. Springer-Verlag, New York-Berlin, 1982. ix+250 pp. ISBN: 0-387-90599-5 MR0648108 (84e:28017)


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.