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 (1979) for KPP (Kolmogorov-Petrovskii-Piskunov) wave fronts to the case <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="d greater-than-or-equal-to 2"> <mml:semantics> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>≥<!-- ≥ --></mml:mo> <mml:mn>2</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">d\ge 2</mml:annotation> </mml:semantics> </mml:math> </inline-formula> for i.i.d. (independent and identically distributed) random media. We show a wave …