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## Wave propagation in a lattice KPP equation in random media

### Tzong-Yow Lee and Fred Torcaso

**Abstract.**
We extend a result of Freidlin and Gartner (1979) for KPP
(Kol\-mo\-gorov-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.

*Copyright 1997 American Mathematical Society*

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#### Article Info

- ERA Amer. Math. Soc.
**03** (1997), pp. 121-125
- Publisher Identifier: S 1079-6762(97)00036-X
- 1991
*Mathematics Subject Classification*. Primary 60J60;
Secondary 35K55
*Key words and phrases*. KPP equation, random media, large deviations
- Received by the editors June 20, 1997
- Posted on November 4, 1997
- Communicated by Mark Freidlin
- Comments

**Tzong-Yow Lee**

Department of Mathematics, University of Maryland, College Park,
MD 20742

*E-mail address:* `tyl@math.umd.edu`

**Fred Torcaso**

Department of Mathematics, University of Maryland, College Park,
MD 20742

*E-mail address:* `torcaso@math.umd.edu`

This work was supported under NSF Grant DMS-95-04177 while the
second author was research assistant at
the University of Maryland.

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