Outline 00:00 - Intro 00:47 - Mind the gap (metric) 03:16 - Moment problems and Nevanlinna interpolation 06:53 - “Everything relates to everything else” 11:27 - Distances between power spectra  16:08 - Optimal mass transport and Schrödinger bridges 32:25 - Sinkhorn iteration and Wasserstein geometry 37:45 - Color of turbulence 41:38 - Thermodynamics and energy harvesting from heat baths 55:01 - Quantum mechanics 57:55 - Adjustable one-ports 1:07:20 - “Aha moments” and advice to future generations 1:12:20 - Outro Links Tryphon’s website: https://georgiou.eng.uci.edu/ Robustness analysis of nonlinear feedback systems: an input-output approach (paper): https://tinyurl.com/4785kxny A topological approach to Nevanlinna–Pick interpolation (paper): https://tinyurl.com/4vudtz8c A generalized entropy criterion for Nevanlinna-Pick interpolation with degree constraint (paper): https://tinyurl.com/39enabuc The meaning of distances in spectral analysis, IEEE CDC plenary 2007 (slides): https://tinyurl.com/mrytp7j8 Optimal Steering of a Linear Stochastic System to a Final Probability Distribution, Part I (paper): https://tinyurl.com/2nbm3sa6 Y. Chen - https://tinyurl.com/37frfx67 M. Pavon - https://tinyurl.com/yjhbawhb Mittag Lefler - https://tinyurl.com/29cjum7j Stochastic control liasons (paper): https://tinyurl.com/4s8y775b Sinkhorn iteration: https://tinyurl.com/ym5catr2 Color of turbulence (paper): https://tinyurl.com/5n77bepb Harvesting energy from a periodic heat bath (paper): https://tinyurl.com/2vadpu93 Principles of lossless adjustable one-ports (paper): https://tinyurl.com/53v23yt4 Inerter: https://tinyurl.com/ya2bkkhw Support the showPodcast info Podcast website: https://www.incontrolpodcast.com/ Apple Podcasts: https://tinyurl.com/5n84j85j Spotify: https://tinyurl.com/4rwztj3c RSS: https://tinyurl.com/yc2fcv4y Youtube: https://tinyurl.com/bdbvhsj6 Facebook: https://tinyurl.com/3z24yr43 Twitter: https://twitter.com/IncontrolP Instagram: https://tinyurl.com/35cu4kr4 Acknowledgments and sponsors This episode was supported by the National Centre of Competence in Research on «Dependable, ubiquitous automation» and the IFAC Activity fund. The podcast benefits from the help of an incredibly talented and passionate team. Special thanks to L. Seward, E. Cahard, F. Banis, F. Dörfler, J. Lygeros, ETH studio and mirrorlake . Music was composed by A New Element.