Geodesic
Wave propagation in a lattice KPP equation in random media
Lee, Tzong-Yow1 ; Torcaso, Fred1
1 Department of Mathematics, University of Maryland, College Park, MD 20742
Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 121-125.

Voir la notice de l'article provenant de la source American Mathematical Society

We extend a result of Freidlin and Gartner (1979) for KPP (Kolmogorov-Petrovskii-Piskunov) wave fronts to the case $d\ge 2$ for i.i.d. (independent and identically distributed) random media. We show a wave front propagation speed is attained for the discrete-space (lattice) KPP using a large deviation approach.
DOI : 10.1090/S1079-6762-97-00036-X

Lee, Tzong-Yow 1 ; Torcaso, Fred 1

1 Department of Mathematics, University of Maryland, College Park, MD 20742 
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Lee, Tzong-Yow; Torcaso, Fred. Wave propagation in a lattice KPP equation in random media. Electronic research announcements of the American Mathematical Society, Tome 03 (1997), pp. 121-125. doi : 10.1090/S1079-6762-97-00036-X. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-97-00036-X/

[1] Dembo, Amir, Zeitouni, Ofer Large deviations techniques and applications 1993

[2] Freidlin, Mark Functional integration and partial differential equations 1985

[3] Gertner, Ju., Freĭdlin, M. I. The propagation of concentration waves in periodic and random media Dokl. Akad. Nauk SSSR 1979 521 525

[4] Liggett, Thomas M. Interacting particle systems 1985

[5] Sznitman, Alain-Sol Shape theorem, Lyapounov exponents, and large deviations for Brownian motion in a Poissonian potential Comm. Pure Appl. Math. 1994 1655 1688

[6] Sznitman, Alain-Sol Crossing velocities and random lattice animals Ann. Probab. 1995 1006 1023

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