La página Web of Stories tiene una extensa entrevista con Freeman Dyson, dividida en más de 150 videos. En particular recomiendo los de su vida académica en Cambridge y su relación con Besicovitch, Hardy y Littlewood.
En el video no. 26, discute cómo utilizó las ideas de la demostración del famoso teorema de Littlewood, sobre convergencia de series, en su construcción de ferromagnetos.
Vodpod videos no longer available.
[…] So that was the big Tauberian theorem which Littlewood proved, and this way of proving it was again a tour de force done by invoking a completely unmotivated new parameter which turned out to be the key to the proof.
And then in my existence as a physicist one of the things I did was to prove the existence of a ferromagnet in one dimension, which was something that hadn’t been done before, and I constructed this ferromagnet – this was a very “Besicovitchy”, a sort of Besicovitch construction of the ferromagnet as a hierarchical array of spins[…]
And then, in order to prove the long range order – what I proved was that the long range order is discontinuous at the transition, that it goes discontinuously from having a spontaneous magnetisation to being disordered[…] And to prove that, I used Littlewood’s trick of bringing a unmotivated new parameter – so it was a proof; although the construction was Besicovitch, the proof was Littlewood.
Anyway, so I dedicated this paper to him and it was written just, I think, sixty years after Littlewood’s proof had been published and so I dedicated it to the sixtieth anniversary of Littlewood’s proof. And I got a very nice letter from Littlewood in response, saying that as far as he knew that was the only time that a mathematician had actually celebrated the sixtieth anniversary of a proof.
Mañana o el miércoles publicaré un artículo sobre Littlewood y su teorema tauberiano.