Optimal scaling and curvature correction for constrained MCMC on spheres A7HTYWJNCX

URI	`m2://res/A7HTYWJNCX`
Kind	preprint
Creators	Nayef Shkeir, Tobias Grafke
Date	2026-10-13
MSC	62-XX, 60-XX
Subjects	arxiv math.ST, arxiv math.PR, arxiv stat.CO, arxiv stat.TH
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Markovianity	statement	lemma 6	arxiv
Concentration of the scalar coordinate	statement	lemma 1	arxiv
Locally uniform conditional expansion	statement	lemma 10	arxiv
Conditional drift, variance, and large jumps	statement	proposition 4	arxiv
Refined expansion of $g$	statement	lemma 8	arxiv
Tangent RWMH	statement	corollary 4	arxiv
Expansion of the defect coefficients	statement	lemma 9	arxiv
Exact defect on the sphere	statement	proposition 2	arxiv
Fixed-step limit	statement	theorem 4	arxiv
Limiting ESJD	statement	theorem 2	arxiv
Joint diffusion limit	statement	theorem 3	arxiv
Gaussian limit	statement	theorem 1	arxiv
Moments of the tangent increment	statement	lemma 4	arxiv
Geodesic length of a projected step	statement	lemma 3	arxiv
Gaussian acceptance identities	statement	lemma 11	arxiv
Critical scaling for the drift family	statement	proposition 3	arxiv
Scaling trichotomy	statement	corollary 2	arxiv
Tangent MALA	statement	corollary 3	arxiv
Closed-form projection on the sphere	statement	proposition 1	arxiv
Limiting acceptance probability	statement	corollary 1	arxiv
Ethier--Kurtz diffusion criterion	statement	proposition 5	arxiv
The good event $\Omega_d$	statement	lemma 7	arxiv
Asymptotic factorisation	statement	lemma 5	arxiv
Expansion of $g$	statement	lemma 2	arxiv