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"Cham, Switzerland" .
"Springer eBooks (Complete Collection)" .
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"Printed edition:" .
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"Lévy processes"@en .
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"Debussche" .
"Arnaud" .
"Arnaud Debussche" .
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"2017-06-02" .
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"9783319008288" .
"3319008285" .
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"1617-9692" .
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"Lecture notes in mathematics," .
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"Lecture notes in mathematics (Springer-Verlag) ;" .
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"2013" .
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"en" .
"This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states."@en .
"The dynamics of nonlinear reaction-diffusion equations with small lévy noise"@en .
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"859522804" .
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"859522804" .
"Electronic books"@en .
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"2013" .
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"sz" .
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"Stochastic partial differential equations"@en .
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"Springer" .