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add package, some updates to webpage
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# You can create any custom variable you would like, and they will be accessible | ||
# in the templates via {{ site.myvariable }}. | ||
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title: The Polynomial Freiman-Ruzsa Conjecture | ||
title: Carleson operators on doubling metric measure spaces | ||
#email: [email protected] | ||
description: A digitisation of the proof of the Polynomial Freiman-Ruzsa Conjecture in Lean 4 | ||
description: A formalization in Lean 4 | ||
baseurl: "" # the subpath of your site, e.g. /blog | ||
url: "https://fpvandoorn.github.io/carleson/" # the base hostname & protocol for your site, e.g. http://example.com | ||
#twitter_username: jekyllrb | ||
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WIP formalization of a generalized Carleson's theorem | ||
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<!-- The purpose of this repository is to hold a Lean4 formalization of [the proof of the Polynomial Freiman-Ruzsa (PFR) conjecture](https://arxiv.org/abs/2311.05762) (see also [this blog post](https://terrytao.wordpress.com/2023/11/13/on-a-conjecture-of-marton). The statement is as follows: if $$A$$ is a non-empty subset of $${\bf F}_2^n$$ such that $$\vert A+A\vert \leq K\vert A\vert$$, then $$A$$ can be covered by at most $$2K^{12}$$ cosets of a subspace $$H$$ of $${\bf F}_2^n$$ of cardinality at most $$\vert A\vert$$. The proof relies on the theory of Shannon entropy, so in particular development of the Shannon entropy inequalities will be needed. | ||
* [Discussion of the project on Zulip](https://leanprover.zulipchat.com/#narrow/stream/412902-Polynomial-Freiman-Ruzsa-conjecture) | ||
* [Blueprint of the proof](https://teorth.github.io/pfr/blueprint) | ||
* [Documentation of the methods](https://teorth.github.io/pfr/docs) | ||
* [A quick "tour" of the project](https://terrytao.wordpress.com/2023/11/18/formalizing-the-proof-of-pfr-in-lean4-using-blueprint-a-short-tour) --> | ||
* [Blueprint of the proof](https://florisvandoorn.com/carleson/blueprint/) | ||
* [Blueprint (pdf)](https://florisvandoorn.com/carleson/blueprint.pdf) | ||
* [Documentation of the methods](https://florisvandoorn.com/carleson/docs/) | ||
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## Build the Lean files | ||
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## Build the blueprint | ||
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To build the web version of the blueprint, you need a working LaTeX installation. | ||
The blueprint is automatically built on each push to the project. | ||
You can test whether the build is working by building the pdf locally: | ||
`xelatex blueprint/src/print.tex`. | ||
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<!-- To build the web version of the blueprint locally, you need a working LaTeX installation. | ||
Furthermore, you need some packages: | ||
``` | ||
sudo apt install graphviz libgraphviz-dev | ||
pip3 install invoke pandoc | ||
cd .. # go to folder where you are happy clone git repos | ||
git clone [email protected]:plastex/plastex | ||
pip3 install ./plastex | ||
git clone [email protected]:PatrickMassot/leanblueprint | ||
pip3 install ./leanblueprint | ||
cd sphere-eversion | ||
pip install -r blueprint/requirements.txt | ||
``` | ||
To actually build the blueprint, run | ||
``` | ||
lake exe cache get | ||
lake build | ||
inv all | ||
``` | ||
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## Source reference | ||
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`[GGMT]`: <https://arxiv.org/abs/2311.05762> | ||
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[GGMT]: https://arxiv.org/abs/2311.05762 | ||
``` --> |