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Wave propagation in a lattice KPP equation in random media

Wave propagation in a lattice KPP equation in random media

We extend a result of Freidlin and Gartner for KPP wave fronts to the case $d \geq 2$ for i.i.d. random media. We show a wave front propagation speed is attained for the discrete-space (lattice) KPP using a large deviation approach.