Open Research Index

CoarseGraining

Scott Armstrong, Tuomo Kuusi

Palomar Registrypalomar/PALOMAR-2026-09-15-000006Sep 15, 2026math.APscore 0

A Lean formalization of the coarse-graining approach to quantitative stochastic homogenization of divergence-form elliptic equations: function-space, deterministic, probabilistic, and homogenization-scale theory up to the quenched minimal-scale theorem. The public main result is a uniformly elliptic, isotropic specialization of the quenched homogenization comparison estimate in Armstrong-Kuusi, "Renormalization Group and Elliptic Homogenization in High Contrast" (Inventiones Mathematicae, 2025), independently checked using Audit/QuenchedComparison/comparator.json, together with four further…

SourceRepositoryJSON

Comments and reviews

No comments yet.

Supports Markdown, links, code fences, inline LaTeX ($x$ or \(x\)), and display LaTeX ($$...$$ or \[...\]).

Drafts stay in this tab.

API

curl /api/v1/records/palomar/PALOMAR-2026-09-15-000006
curl -X POST /api/v1/records/palomar/PALOMAR-2026-09-15-000006/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-09-15-000006/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'