Mircea Petrache

activity

20092026

most citedNext Order Asymptotics and Renormalized Energy for Riesz Interactions

93 citations · 187 across the 31 of their papers we have counts for

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Showing 2019 · math.APShow all

2 papers · 2 filters

math.AP2019

Crystallization to the square lattice for a two-body potential

Laurent Bétermin, Lucia De Luca, Mircea Petrache

We consider two-dimensional zero-temperature systems of $N$ particles to which we associate an energy of the form $E [V] (X) := 1 \leq i < j \leq N \sum V (∣ X (i) - X (j) ∣),$ where…

math.AP2019

Cyclically monotone non-optimal $N$ -marginal transport plans and Smirnov-type decompositions for $N$ -flows

Mircea Petrache

In the setting of optimal transport with $N \geq 2$ marginals, a necessary condition for transport plans to be optimal is that they are $c$ -cyclically monotone. For $N = 2$ there exist…

Crystallization to the square lattice for a two-body potential

Cyclically monotone non-optimal N-marginal transport plans and Smirnov-type decompositions for N-flows

Cyclically monotone non-optimal $N$ -marginal transport plans and Smirnov-type decompositions for $N$ -flows