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Discrete-Time Ratchets, the Fokker-Planck Equation and Parrondo's Paradox

✍ Scribed by P. Amengual, A. Allison, R. Toral and D. Abbott


Book ID
125072704
Publisher
The Royal Society
Year
2004
Tongue
English
Weight
570 KB
Volume
460
Category
Article
ISSN
0962-8444

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Long-time behaviour for solutions of the
✍ Ana Carpio πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 215 KB πŸ‘ 2 views

We study the long-time behaviour of solutions of the Vlasov-Poisson-Fokker-Planck equation for initial data small enough and satisfying some suitable integrability conditions. Our analysis relies on the study of the linearized problems with bounded potentials decaying fast enough for large times. We