| Branching random walk with exponentially decreasing steps, and stochastically self-similar measures (2006) | |||||||||
Abstract | |||||||||
| We consider a Branching Random Walk on $\R$ whose step size decreases by a fixed factor, $0 (\sqrt{5}-1)/2$ the support of the measure is a.s. the closure of its interior; (3) for Pisot $1/b$ the support of the measure is ``fractured'': it is a.s. disconnected and the components of the complement are not isolated on both sides.. Comment: Minor corrections after the referee report and a remark added at the end. To appear in Transactions of the AMS | |||||||||
Publication details | |||||||||
| |||||||||