Joel Rosenfeld is Assistant Professor at the University of South Florida and his research covers machine learning, kernel methods, approximation theory, function analysis and many more.
After a brief introduction about career strategies and issues caused by the pandemic, we talked about kernel functions with many digressions, such as the statistical description of dynamical systems and relationships between different spaces. We discuss the occupation of kernel functions and occupation measures (a branch of control theory) then we go on approximation of bounded operator using the densely defined operator and alternative approaches when operators are discontinuous in the domain. In the end, you'll find that sometimes one tries to make links between those subjects and dynamical systems and chaos, not all of them are congruent but is really interesting to hear the reasons.

LINKS:
https://scholar.google.com/citations?user=pqsepdcAAAAJ&hl=en
https://www.thelearningdock.org
https://youtube.com/c/ThatMathThing

RESOURCES:
Anchor: https://anchor.fm/poincare-podcast
Youtube: https://www.youtube.com/watch.v
RSS: https://anchor.fm/s/84561ce0/podcast/rss
Linktree: https://linktr.ee/poincaretrajectories
Company: https://www.linkedin.com/company/poincaretrajectories/