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feat(Dynamics.TopologicalEntropy.Semiconj): topological entropy and semiconjugacies #17387

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@D-Thomine D-Thomine commented Oct 3, 2024

Fourth PR in a sequence to implement the notion of topological entropy for maps using Bowen-Dinaburg's formalism. This file deals with the entropy of two systems related by a semiconjugacy.

  • Dynamical uniformities
  • Topological entropy via covers
  • Topological entropy via nets
  • Behaviour under semiconjugacy
  • Behaviour for subsets and unions
  • Behaviour under products
  • Full shift

There is only one new file, Dynamics.TopologicalEntropy.Semiconj, which is quite short (200 lines including the documentation), and no other modification. I must say I am quite pleased by coverEntropy_image.

Paging @pitmonticone @sgouezel


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@D-Thomine D-Thomine added the t-dynamics Dynamical Systems label Oct 3, 2024
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github-actions bot commented Oct 3, 2024

PR summary cca97407fa

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.Dynamics.TopologicalEntropy.Semiconj 1393

Declarations diff

+ IsDynCoverOf.image
+ IsDynCoverOf.preimage
+ coverEntropyEntourage_image_le
+ coverEntropyInfEntourage_image_le
+ coverEntropyInf_image
+ coverEntropyInf_image_le_of_uniformContinuous
+ coverEntropy_image
+ coverEntropy_image_le_of_uniformContinuous
+ coverEntropy_restrict
+ coverMincard_image_le
+ justifies
+ le_coverEntropyEntourage_image
+ le_coverEntropyInfEntourage_image
+ le_coverMincard_image

You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

@D-Thomine D-Thomine marked this pull request as ready for review October 3, 2024 17:17
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2 participants