40 citations · 64 across the 5 of their papers we have counts for
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Diversity in Biology: definitions, quantification, and models
Song Xu, Lucas Böttcher, Tom Chou
Diversity indices are useful single-number metrics for characterizing a complex distribution of a set of attributes across a population of interest. The utility of these different…
Immigration-induced phase transition in a regulated multispecies birth-death process
Song Xu, Tom Chou
Power-law-distributed species counts or clone counts arise in many biological settings such as multispecies cell populations, population genetics, and ecology. This empirical obser…
Landscape construction in non-gradient dynamics: A case from evolution
Song Xu, Xinan Wang, Shuyun Jiao
Adaptive landscape has been a fundamental concept in many branches of modern biology since Wright's first proposition in 1932. Meanwhile, the general existence of landscape remains…
Two-timescale evolution on a singular landscape
Song Xu, Shuyun Jiao, Pengyao Jiang +1
Under the effect of strong genetic drift, it is highly probable to observe gene fixation or gene loss in a population, shown by infinite peaks on a coherently constructed potential…
Non-fixation in infinite potential
Song Xu, Shuyun Jiao, Pengyao Jiang +2
Under the effects of strong genetic drift, it is highly probable to observe gene fixation or loss in a population, shown by divergent probability density functions, or infinite ada…