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Timeline for Energy increment argument

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Nov 8, 2021 at 12:41 comment added Anurag Sahay I think Tao uses energy to refer to $L^2$ averages and density to refer to $L^\infty$ averages. For example, see these notes on Roth's theorem. (which has an argument I can't directly connect to the more familiar density argument) terrytao.wordpress.com/2010/04/08/254b-notes-2-roths-theorem
Nov 8, 2021 at 12:04 comment added LeechLattice There's no definition of "energy" in "energy increment argument", so anything monotone just goes.
Nov 8, 2021 at 11:27 comment added Anurag Sahay Hmm, isn't this the density increment argument for Roth's theorem? I was under the impression that the energy and density arguments were different in some way.
Nov 8, 2021 at 10:48 history answered LeechLattice CC BY-SA 4.0