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transverse intersections
https://en.wikipedia.org/wiki/Transversality_(mathematics) This problem may be a…
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An approach to Vinogradov estimate
Vinogradov estimate is: $ |\sum_{n=1}^{N}e^{2\pi i\alpha P(n)}|\leq c_A\frac{N}{…
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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…