Meta stablity in stochastic partial differential equations induced by Levy noise

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Meta-stablity in stochastic partial differential equations induced by Levy noise Claudia Hein Michael Hogele Peter Imkeller Ilya Pavlyukevich Humboldt-Universitat zu Berlin Institut fur Mathematik Lille, September 1, 2008

  • levy noise

  • sun sun

  • double well potential

  • varying wells' depths

  • differential equation

  • humboldt universitat zu

  • temperature time

  • present eccentricity


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Meta-stablity in stochastic partial differential
equations induced by L´vy noise

Claudia Hein

Michael H¨gelePeter Imkeller
Humboldt-Universit¨t zu Berlin
Institut f¨r Mathematik

Lille, September 1, 2008

Ilya Pavlyukevich

META-STABLITY IN STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS INDUCED BYL´VY NOISE
1. Paleoclimatic time series

1

18 16
Lisiecki, Raymo, Paleoceanography 2005concentration variation ofO toO
taken from marine sediments at 57 globally distributed sites (e.g. Brunhes,
Matuyama, Jaramillo):
global average temperature time series

basic feature:

•from 0 to -1 Myrperiodicity∼100 000 y

•from -1 Myr to -1.8 Myrperiodicity∼44 000 y