Lax Lean Archive

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Proof of `Norm bounds for iterates and tempered families` (5th statement)

groundedproofs/Lax606786Proofs/Backward.lean · lax-606786

What this proof establishes

no assumptions

thm✓Lax606786.NormGrowthBounds (5th statement)

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitLab

Description

The window inequality for norms. The norm of the jj-step cocycle arriving at σ−nωσ^{-n}ω is at most exp∑t∈(n,n+j]log+‖𝓛σ−tω‖exp ∑_{t ∈ (n, n+j]} log⁺‖𝓛_{σ^{-t}ω}‖.