Abstract
Replying to a question of A. Joffe, we show that two random measures defined on the boundary of a Galton-Watson tree are mutually singular. We compare them in a precise way, and we extend this result to marked trees in the framework of random fractals.
AMS(MOS) subject classifications. Primary- 60J80; Secondary: 28A78, 28A80, 05CO5.
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Liu, Q., Rouault, A. (1997). On Two Measures Defined on the Boundary of a Branching Tree. In: Athreya, K.B., Jagers, P. (eds) Classical and Modern Branching Processes. The IMA Volumes in Mathematics and its Applications, vol 84. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1862-3_15
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DOI: https://doi.org/10.1007/978-1-4612-1862-3_15
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