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math-ph2025★ 2 cited
Local Laws and Fluctuations for Super-Coulombic Riesz Gases
Luke Peilen, Sylvia Serfaty
We study the local statistical behavior of the super-Coulombic Riesz gas of particles in Euclidean space of arbitrary dimension, with inverse power distance repulsion integrable ne…
math.AP2025★ 2 cited
A sharp commutator estimate for all Riesz modulated energies
Elias Hess-Childs, Matthew Rosenzweig, Sylvia Serfaty
We prove a functional inequality in any dimension controlling the derivative along a transport of the Riesz modulated energy in terms of the modulated energy itself. This modulated…