539 citations · 6.8k across the 160 of their papers we have counts for
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Rigidity of the Laughlin liquid
Elliott Lieb, Nicolas Rougerie, Jakob Yngvason
We consider general N-particle wave functions that have the form of a product of the Laughlin state with filling factor and an analytic function of the N variables. This i…
A `liquid-solid' phase transition in a simple model for swarming, based on the `no flat-spots' theorem for subharmonic functions
Rupert L. Frank, Elliott H. Lieb
We consider a non-local shape optimization problem, which is motivated by a simple model for swarming and other self-assembly/aggregation models, and prove the existence of differe…
Maximizers for the Stein-Tomas inequality
Rupert L. Frank, Elliott H. Lieb, Julien Sabin
We give a necessary and sufficient condition for the precompactness of all optimizing sequences for the Stein-Tomas inequality. In particular, if a well-known conjecture about the…
On a Quantum Entropy Power Inequality of Audenaert, Datta and Ozols
Eric A. Carlen, Elliott H. Lieb, Michael Loss
We give a short proof of a recent inequality of Audenaert, Datta and Ozols, and determine cases of equality.