Poisson statistics for one-dimensional Anderson--Bernoulli Schr\"odinger operators 9W2YX5X4AX

URI	`m2://res/9W2YX5X4AX`
Kind	preprint
Creators	Yi Han
Date	2026-10-15
MSC	81-XX, 60-XX
Subjects	arxiv math-ph, arxiv math.MP, arxiv math.PR
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
Joint waiting-time limits after finitely many restarts	statement	proposition 4.1	arxiv
A standard compact-test criterion	statement	lemma 5.4	arxiv
One-sided residual pinning	statement	lemma 4.4	arxiv
phase counts to eigenvalue counts	statement	lemma 5.2	arxiv
Uniform exponential crossing law	statement	theorem 3.8	arxiv
Poisson statistics: IDS unfolding and linear scaling	statement	theorem 1.1	arxiv
Unstopped pair contraction	statement	lemma 3.5	arxiv
An exact constant-drift pair coordinate	statement	proposition 3.2	arxiv
Furstenberg's theorem for the transfer matrices	statement	proposition 2.2	arxiv
Exact one-way crossings	statement	lemma 3.1	arxiv
Uniform stopped occupation	statement	lemma 3.4	arxiv
Vanishing killed occupation	statement	lemma 3.7	arxiv
Fixed-energy forward stationary limit	statement	lemma 4.5	arxiv
Sturm phase identities	statement	lemma 2.1	arxiv
Mean exit time estimates	statement	lemma 3.6	arxiv
A small deterministic future window	statement	lemma 4.3	arxiv
Asymptotic independence of crossing counts	statement	proposition 5.1	arxiv
Exact lift identity	statement	lemma 2.4	arxiv
Strict increase at Bernoulli bulk energies	statement	proposition 5.3	arxiv
Uniform energy continuity of the CDF lifts	statement	lemma 2.5	arxiv
Finite-block fractional contraction	statement	lemma 3.3	arxiv
Scalar spatial crossing counts	statement	corollary 4.2	arxiv