# ecol: mycological jazz

<< "Mycological" draws conceptually from fungal networks in forests and their interactions. Inspired by the work of ecologist Suzanne Simard, author Michael Pollan, and mycologist Paul Stamets; Krolak saw many parallels between biological networks and the social network known as jazz, as well as, the acoustic networks created when musicians interact through their instruments. Aesthetically, the work is of the free and avant-garde traditions of jazz. Drawing inspiration from John Coltrane to Sonny Sharrock to Makaya McCraven, Krolak seeks to create a space for various elements to play out and find their own connections. >>

Mycological By Nicholas Krolak. All About Jazz. Jan 8, 2022. 

https://www.allaboutjazz.com/media/track-mycological-by-nicholas-krolak

Also

Apropos of 'mycological jazz', a old  perplexity of mine, who knows why substantial funds were no longer allocated to sci research on viruses, bacteria, fungi (..) and their ecological 'jazzy interactions' ... ? 😏

keyword 'virus' | 'bacteria' | 'fungi' in FonT

https://flashontrack.blogspot.com/search?q=virus

https://flashontrack.blogspot.com/search?q=bacteria

https://flashontrack.blogspot.com/search?q=fungi

Also

Much of intelligence (quasi-stochastic poetry). Notes. Dec 16, 2005.

https://inkpi.blogspot.com/2005/12/1929-much-of-intelligence.html

keyword 'jazz' in FonT

https://flashontrack.blogspot.com/search?q=jazz

keyword 'jazz' in Notes (quasi-stochastic poetry):

https://inkpi.blogspot.com/search?q=jazz

Keywords: jazz, viruses, bacteria, fungi, interactions, acad, scires, funds

# gst: apropos of 'disordered interactions', localization and dissociation of bound states and mapping to chaotic billiards concerning two particles on a chain

AA << consider two particles hopping on a chain with a contact interaction between them. At strong interaction, there is a molecular bound state separated by a direct gap from a continuous band of atomic states. Introducing weak disorder in the interaction, the molecular state becomes Anderson localized (exponential localization of all energy eigenstates,). At stronger disorder, part of the molecular band delocalizes and dissociates due to its hybridization to the atomic band. (AA) characterize these different regimes by computing the density of states, the inverse participation ratio, the level-spacing statistics and the survival probability of an initially localized state.  >>️

<< The atomic band is best described as that of a rough billiard for a single particle on a square lattice that shows signatures of quantum chaos. In addition to typical ``chaotic states'', (AA) find states that are localized along only one direction. These ``separatrix states'' are more localized than chaotic states, and similar in this respect to scarred states, but their existence is due to the separatrix iso-energy line in the interaction-free dispersion relation, rather than to unstable periodic orbits. >> 

Hugo Perrin, Janos K. Asboth, et al.  Two particles on a chain with disordered interaction: Localization and dissociation of bound states and mapping to chaotic billiards. arXiv: 2106.09603v1. Jun 17, 2021. 

https://arxiv.org/abs/2106.09603