For catalytic branching random walks on Z^d, the projection of the front onto each normal direction satisfies a limit theorem with limit distribution phi, extending one-dimensional single-catalyst results to multiple catalysts and higher dimensions.
The asymptotic shape of the branching random walk
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Fluctuations of propagation front in catalytic branching walk
For catalytic branching random walks on Z^d, the projection of the front onto each normal direction satisfies a limit theorem with limit distribution phi, extending one-dimensional single-catalyst results to multiple catalysts and higher dimensions.