Whether in an ecosystem, an economy, a jazz ensemble, or a lone scholar thinking through a problem, critical transitions — breakdowns and breakthroughs — appear to follow universal patterns. Creative leaps that take place in how mathematicians “think out loud” with body, chalk, and board look much like changes in the movement through “music-space” traced by groups of improvisers. Society itself appears to have an “aha moment” when a meme goes viral or a new word emerges in the popular vocabulary. How do collectives at all scales — be they neurons, research groups, or a society at large — suddenly change shape…and what early warning signs portend a pending bolt of inspiration?This week we talk to SFI Fellow Tyler Marghetis of UC Merced about regimes and ruptures across timescales — from the frustration and creativity of mathematicians and musicians to the bursts of innovation that appear to punctuate civilization and the biosphere alike.If you value our research and communication efforts, please subscribe to Complexity Podcast wherever you prefer to listen, rate and review us at Apple Podcasts, and/or consider making a donation at santafe.edu/podcastgive. You can find numerous other ways to engage with us at santafe.edu/engage. Thank you for listening!Join our Facebook discussion group to meet like minds and talk about each episode.Podcast theme music by Mitch Mignano.Follow us on social media:Twitter • YouTube • Facebook • Instagram • LinkedIn Related Reading & Listening:“Creative leaps in musical ecosystems: early warning signals of critical transitions in professional jazz” by Matt Setzler, Tyler Marghetis, Minje Kim“The complex system of mathematical creativity: Modularity, burstiness, and the network structure of how experts use inscriptions” by Tyler Marghetis, Kate Sampson, David Landy“An Integrated Mess of Music Lovers in Science” – press release with video playlist of the 2020 Musicology & Complexity Working Group“Explosive Proofs of Mathematical Truths” – Simon DeDeo SFI Seminar on inductive networksComplexity 29: David KrakauerComplexity 33: Tim Kohler & Marten SchefferComplexity 35, 36: Geoffrey WestComplexity 37: Laurence GonzalesComplexity 65: Deborah GordonTopics Discussed:• competitive wrestling to complex systems science• free jazz ensembles as a mode of distributed cognition like ant colonies• creative transitions as analogous to ecosystemic transitions (loss of resilience due to autocorrelation, etc)• the difference between composed and improvised music• creativity and boredom• the relationship between improvisation and trauma, exploration and nonlinearity• the death of the genre (?)• the role of the body in thought• how can you tell an “aha moment” is about to happen?• what does a healthy mathematical ecosystem look like?• burstiness and virality