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By: Terence Tao
In reply to Jyun-Jie Liao. Very nice! It is great that one can use the fibring identity one last time to squeeze an additional gain in the constants. I talked with my coauthors and we would like to...
View ArticleBy: Anonymous
Does the proof indicate a way to think about constructing H (the covering subgroup)?
View ArticleBy: Anonymous
Great result! Does this proof immediately generalize to Z^d so that one can get a bunch of nice applications outlined by Chang in http://www.numdam.org/item/10.1016/j.crma.2009.04.006.pdf?
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By: Terence Tao
In reply to Anonymous. Somewhat weirdly, only half of the proof seems to generalize to the torsion-free setting; one can set up the same entropy decrement strategy, and for random variables that...
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By: Marcel Goh
In the appendix, it is stated that Lemma A.2 is related to Lemma 3.3 of your older paper. Does it directly imply (possibly a stronger version of) Lemma 3.3, or perhaps Theorem 3.1 directly? I am not...
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By: Marcel Goh
In reply to Marcel Goh. Elaborating on my earlier comment, letting and be conditionally independent trials of , I think I can show that assuming Lemma A.2 as well as (24) and (25) from Theorem 3.1 in...
View ArticleBy: Marton’s conjecture in abelian groups with bounded torsion | What's new
[…] had previously established the case of this result, with the number of translates bounded by (which was subsequently […]
View ArticleBy: An abridged proof of Marton’s conjecture | What's new
[…] Timothy Gowers, Ben Green, Freddie Manners, and I were able to establish the following […]
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