Dynamics / CONCEPT
An Exact Head-Weight Criterion for Lipschitz Shadowing
Lipschitz shadowing for every normalized positive nonincreasing head-weight full shift is equivalent to a cross-head adjacent-depth ratio bound.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS0
The exact cross-head criterion
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- A Negative Product-Metric Stability Answerstructural-affinity · Closed
- Arbitrary-Index Constrained Productstructural-affinity · Closed
- Equicontinuity and Exact Fibresstructural-affinity · Closed
- Finite Graph Languages as Symbolic Systemsstructural-affinity · Closed
- Head-Weighted Product Metricsstructural-affinity · Closed
- Metric Tracing and Infinite Diagonal Splicesstructural-affinity · Closed
- Neighborhood Two-Shadowing by Separated Gap Repairstructural-affinity · Closed
- Powers-of-Two Return-Distance Examplestructural-affinity · Closed
- Prefix Growth and Symbolic Entropystructural-affinity · Closed
- The Full Progression Example for Question 5.6structural-affinity · Closed
Documents & exposition
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