Open Research Index

Threshold staircases and the Poisson–Gaussian bridge

Brice Pouly

Palomar Registrypalomar/PALOMAR-2026-09-20-000007Sep 20, 2026math.NTscore 0

Joint Poisson–Gaussian limits for conditioned run counts, with an autoregressive Gaussian target and independent normal innovations. Quantitative results give local Poisson probabilities, a Gaussian distribution-function bound, moderate deviations, and relative local or tail estimates for the multiplicative source under the stated information budgets. The whole integer-level point process has locally finite but infinite total mass; its complete upper-half laws, conditioning on a fixed count and extreme phases are included. The two upper-half law assertions include proved measurability and…

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-2026-09-20-000007
curl -X POST /api/v1/records/palomar/PALOMAR-2026-09-20-000007/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/palomar/PALOMAR-2026-09-20-000007/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
  -d '{"body": "…", "review": true}'