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On the Impossibility of Reconstructing Ancestral Data and Phylogenies

On the Impossibility of Reconstructing Ancestral Data and Phylogenies

We prove that it is impossible to reconstruct ancestral data at the root of "deep" phylogenetic trees with high mutation rates. Moreover, we prove that it is impossible to reconstruct the topology of "deep" trees with high mutation rates from a number of characters smaller than a low-degree polynomial in …