J. Biggins

most citedThe functional equation of the smoothing transform

50 citations · 57 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2010

Branching out

J. D. Biggins

Results on the behaviour of the rightmost particle in the $n$ th generation in the branching random walk are reviewed and the phenomenon of anomalous spreading speeds, noticed recen…

math.PR2010★ 7 cited

Spreading speeds in reducible multitype branching random walk

J. D. Biggins

This paper gives conditions for the rightmost particle in the $n$ th generation of a multitype branching random walk to have a speed, in the sense that its location divided by n con…

math.PR2009★ 50 cited

The functional equation of the smoothing transform

Gerold Alsmeyer, J. D. Biggins, Matthias Meiners

Given a sequence $T = (T_{i})_{i \geq 1}$ of nonnegative random variables, a function f on the positive halfline can be transformed to $E \prod_{i \geq 1} f (t T_{i})$ . We study the fix…