221 citations · 932 across the 42 of their papers we have counts for
43 papers
The maximum quartet distance between phylogenetic trees
Lior Pachter
The quartet distance counts the four-leaf subsets on which two binary phylogenetic trees display different topologies. We prove that its maximum over trees on leaves is $(2/3+o…
Optimal pebbling of the hypercube
Lior Pachter
We prove that the optimal pebbling number of the -dimensional hypercube is \[ o(Q_n)\,=\,Θ\!\left(\left(\frac43\right)^n\right). \]
Optimizing alluvial plots
Joseph Rich, Conrad Oakes, Lior Pachter
Alluvial plots can be effective for visualization of multivariate data, but rely on ordering of alluvia that can be non-trivial to arrange. We formulate two optimization problems t…
The miscalibration of the honeybee odometer
Laura Luebbert, Lior Pachter
We examine a series of articles on honeybee odometry and navigation published between 1996 and 2010, and find inconsistencies in results, duplicated figures, indications of data ma…
The virial theorem and the Price equation
Catherine Felce, Steinunn Liorsdóttir, Lior Pachter
We observe that the time averaged continuous Price equation is identical to the positive momentum virial theorem, and we discuss the applications and implications of this connectio…
Data-Driven Approaches to Searches for the Technosignatures of Advanced Civilizations
T. Joseph W. Lazio, S. G. Djorgovski, Andrew Howard +19
Humanity has wondered whether we are alone for millennia. The discovery of life elsewhere in the Universe, particularly intelligent life, would have profound effects, comparable to…