Operators for (Nonlinear) Dynamical Systems

Koopman Generators, Liouville Operators, and Transfer Functions! We talk about the role of operators in Dynamical Systems theory. This requires a discussion of Hilbert spaces, Densely Defined Operators, and Occupation Kernels.

Lupin is a Netflix Property, Footage leveraged via fair use (educational video)

Music:
Come 2gether by Ooyy
Video Call from Los Angeles by Trevor Kowalski
Wrong by Dan Henig
Guardians + Tek by Craig Hardgrove

[nanobruh]

Finally an American math channel that actually know what they're talking about ! Greetings from France

[SergejsBlakunovs]

4:12 That was quite a surprise for someone, who has never taken functional analysis (and any pure math classes beyond some minor self-study for that matter).
Would have never thought there are linear operators that are not continuous, let alone that derivative operator (such a familiar example!) would be one of them.

[bananarobotoverlord]

Great instructional technique -- I learned a lot. I would recommend going easier on the software that auto-cuts the dead space and move the camera slightly farther away. The effect is jarring and aggressive. Look at Richard Borcherds' videos for a nice math setup with his face off to the side and the math front and center.

[juliomaldonado]

hey dude I reed youre coment on Briana's video and wend she did the challenge for the first time she got jelly harms for like a week hahaha, she is trying to prepar herself for the Final test this month, glad you enjoy her video ;)

[vicktorioalhakim]

Great video! Quick question - what is the name of AMS book, and which author/edition is the systems and signals book behind you? :)