A new variance transfer principle proves 2D Coulomb gases are 2-hyperuniform and 3D ones are 1-hyperuniform while giving optimal perimeter-like number variance for Girko matrix eigenvalues on microscopic and some mesoscopic scales.
Lewin.:Coulomb and Riesz gases: the known and the unknown
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.PR 2verdicts
UNVERDICTED 2representative citing papers
Establishes entropy-cost inequalities for McKean-Vlasov SDEs with singular interactions to prove well-posedness and regularity estimates via a new probability distance induced by local integrable functions.
citing papers explorer
-
From smooth to discontinuous kernels: a variance transfer principle for hyperuniform processes
A new variance transfer principle proves 2D Coulomb gases are 2-hyperuniform and 3D ones are 1-hyperuniform while giving optimal perimeter-like number variance for Girko matrix eigenvalues on microscopic and some mesoscopic scales.
-
Entropy-Cost Inequalities for McKean-Vlasov SDEs with Singular Interactions
Establishes entropy-cost inequalities for McKean-Vlasov SDEs with singular interactions to prove well-posedness and regularity estimates via a new probability distance induced by local integrable functions.