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Scenery reconstruction with branching random walk

2011; Taylor & Francis; Volume: 83; Issue: 2 Linguagem: Inglês

10.1080/17442508.2010.544973

1744-2516

Serguei Popov, Angélica Pachón,

Markov Chains and Monte Carlo Methods

We study the problem of scenery reconstruction in arbitrary dimension using observations registered in boxes of size k (for k fixed), seen along a branching random walk. We prove that, using a large enough k for almost all the realizations of the branching random walk, almost all sceneries can be reconstructed up to equivalence.