Eva Miranda

speaker
1,609 appearances 1 recordings 1 series first heard Jan 2025 last heard Jan 2025

Eva Miranda’s voice in public audio — every appearance, attributed to the second.

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So this this theorem tells you that maybe not globally, the example of the sphere, all of it I can write the symplectic form as dh d theta.
Maybe not globally, but in the neighborhood of this orbit or it's an orbit of the of the torus, at the same time it's a fibre of the integrable system.
This fiber of this integrable system, first it's going to be a torus.
This torus is called the Ubil Taurus.
Okay.
Uh who is here?
Okay, the U Bill is up there.
And next to Liouville we have these torus are put one next to the other.
This is a vibration by torus.
And this theorem tells you that in a neighborhood of what we could call an invariant manifold
in a neighborhood of this torus, everything is like a product of the of this um
So
This this visual is telling me.
The fiber is a torus and a neighborhood is like a torus, several copies of the torus put together.
What we call a vibration of thoraid.
Okay.
Distorus is just a product of circus, that's all.
And the funny thing is that the symplectic form can be written in a kind of
Easy canonical way
Which looks like the Darwin Theorem, but it's more because Darwin Theorem is in a neighborhood of a point.
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