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From periodic to quasi periodic
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A discret to continuous approach to the Dirichlet principle.
Direchlet principle: $ \Omega \subset R^n$ is a compact set with $C^1$ boundary.…
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Weyl law
In 1911 year, when Weyl is a young mathematician specticlizing in integrable sys…
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Sarnak conjecture, understand with standard model
Sarnak conjecture is a conjecture lie in the overlap of dynamic system and numbe…
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Baragar-Bourgain-Gamburd-Sarnak conjecture
$latex M$ is the markov triple $latex (x,y,z)$: $latex x^2+y^2+z^2=xyz$ and $lat…
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Metric entropy 2
I am reading the article “ENTROPY THEORY OF GEODESIC FLOWS”. Now we …
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Metric entropy 1
Some basic thing, include the definition of metric entropy is introduced in my e…
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Gromov’s idea applicate to parabolic equation
Gromov’s idea applicate to parabolic equation. Key point: 1.rescaling+reno…
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Hilbert 16th problem
Introduction the statement of Hilbert’s 16th problem: $ H(n)<\in…
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A determinantal formula
I see a similar formula I wish to be true and merely have a proof in mind occur …