{"id":"palomar/PALOMAR-2026-10-09-000001","url":"https://github.com/djalilchafai/ginibre-poincare/tree/fb58b4fd765f19a65c46cb82fb647fb0d94e28ca","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-09-000001-v1.json","repo":"https://github.com/djalilchafai/ginibre-poincare","tags":["math.PR","math.FA","msc:60E15","msc:60B20","msc:60J60","msc:32W05","msc:82B21","msc:82C31","random-matrices","poincare-inequality"],"score":0,"title":"Ginibre Poincaré formalization","trust":"high","domain":"math.PR","source":"palomar","authors":["Djalil Chafaï"],"reviews":0,"subject":"math.PR","summary":"Lean development of the sharp Poincaré inequality for the complex Ginibre log-gas, its two sum-of-squares deficit identities, equality cases, Gaussian Hermite analysis, and the accompanying analytic and stochastic results.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-10-09","reactions":{},"formalized":true,"formalizes":[{"title":"An optimal Poincaré inequality for the complex Ginibre log-gas","identifier":"https://arxiv.org/abs/2608.19358v2","relationship":"formalizes"}]}