Change of measures for Markov chains and the LlogL theorem for branching processes

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Local extinction versus local exponential growth for spatial branching processes (2004, methodology): “Changes of measure using martingales of an innerproduct form for supercritical spatial and typed branching processes have also been considered by Athreya (2000), Lyons (1997) and Biggins and Kyprianou (2001), for example.”
Further probabilistic analysis of the Fisher–Kolmogorov–Petrovskii–Piscounov equation: one sided travelling-waves (2006, methodology): “One of the probabilistic methods for studying equations (1) and (2) is via their connection to a branching Brownian motion (BBM) with dyadic splitting and branching rate β.”
Martingales and Profile of Binary Search Trees (2004, unknown): “For the underlying branching random walk this construction is classical [3],[14],[20],.”
Travelling wave solutions to the K-P-P equation: alternatives to Simon Harris' probabilistic analysis (2004, background): “Other examples of spine decomp for a variety of branching particle processes can be found in [17,3,32,40].”
Survival probabilities for branching Brownian motion with absorption (2007, background): “[17], Biggins and Kyprianou [2], Athreya [1], Kyprianou [18], Hardy and Harris [13], and references therein, for applications of the spine approach.”