# gst: conventional and anomalous mobility edges in a quasiperiodic chain.

<< Mobility edges (MEs) constitute the energies separating the localized states from the extended ones in disordered systems. Going beyond this conventional definition, recent proposal suggests for an ME which separates the localized and multifractal states in certain quasiperiodic systems - dubbed as the anomalous mobility edges (AMEs). >>

<< In this study, (AA) propose an exactly solvable quasiperiodic system that hosts both the conventional and anomalous mobility edges under proper conditions. (They) show that with increase in quasiperiodic disorder strength, the system first undergoes a delocalization to localization transition through an ME of conventional type. >>

<< Surprisingly, with further increase in disorder, (They) obtain that a major fraction of the localized states at the middle of the spectrum turn multifractal in nature. Such unconventional behavior in the spectrum results in two AMEs, which continue to exist even for stronger quasiperiodic disorder. >>

AA << numerically obtain the signatures of the coexisting MEs complement it through analytical derivation using Avila's global theory. In the end (They) provide important signatures from the wavepacket dynamics. >>️

Sanchayan Banerjee, Soumya Ranjan Padhi, Tapan Mishra. Emergence of distinct exact mobility edges in a quasiperiodic chain. arXiv: 2503.19834v1 [cond-mat.quant-gas]. Mar 25, 2025.️

https://arxiv.org/abs/2503.19834

Also: edge, order, disorder, waves, transition,  in https://www.inkgmr.net/kwrds.html 

Keywords: gst, edge, order, disorder, waves, transition 

# life: POTUS race 2024, Native voters could make a difference

<< There are predicted to be at least 5 million Native and Alaska Native-identifying voters in the U.S. in both rural and urban communities, according to the U.S. Census Bureau — although estimates are expected to be an undercount. >>️

<< Native Americans are incredibly influential and have the ability to really swing those elections on the margins, >> Jacqueline De Leon.

<< Hanging in the balance is control of House, Senate and the Oval Office in 2024. In a country in which turnout can make or break campaigns, organizers said courting Native voters can dictate a candidate's success. (..) Organizers argue Native voters are increasingly a coalition to watch, even if parties have not fully recognized them yet. (..) Here are some of the states where Native voters could have a significant impact on 2024 races for Congress, the Senate and for president. >>️️

Ximena Bustillo. Sometimes overlooked by campaigns, Native voters could decide major elections in 2024. NPR. Nov 21, 2023. 

https://www.npr.org/2023/11/20/1213525361/native-voters-influence-2024-elections-arizona-montana-wisconsin 

Also: potus, in FonT https://flashontrack.blogspot.com/search?q=potus

Also: transition, in FonT https://flashontrack.blogspot.com/search?q=transition

Also: edge, in FonT https://flashontrack.blogspot.com/search?q=edge

Also: margine, in Notes (quasi-stochastic poetry) https://inkpi.blogspot.com/search?q=margine

Keywords: potus, potus race, Native, Native voters, life, transition, edge, margin

# life: transitions in the edges; to stimulate a shift in thinking, target small groups of people in the "outer edge" or fringe of a network.

<< social influencers are unlikely to change a person's behavior by example. To stimulate a shift in people's thinking, target small groups of people in the outer edge or fringe of a network. (..) as prominent and revered as social influencers seem to be, in fact, they are unlikely to change a person's behavior by example -- and might actually be detrimental to the cause. >>

<< When social influencers present ideas that are dissonant with their followers' worldviews (..) they can unintentionally antagonize the people they are seeking to persuade because people typically only follow influencers whose ideas confirm their beliefs about the world,"  >> Damon Centola. ️

<< To stimulate a shift in thinking, target small groups of people in the "outer edge" or fringe of a network. >>

️

Study finds surprising source of social influence. University of Pennsylvania.  Jul 20, 2021. 

https://www.sciencedaily.com/releases/2021/07/210720114345.htm

Douglas Guilbeault, Damon Centola.  Topological measures for identifying and predicting the spread of complex contagions. Nat Commun 12, 4430. doi: 10.1038/ s41467-021-24704-6. Jul 20  2021.

https://www.nature.com/articles/s41467-021-24704-6

Also

1829 - catalisi d' interferenza periferica (c.i.p.)  Notes. Nov 24, 2004. (quasi-stochastic poetry).

https://inkpi.blogspot.com/2004/11/1829-catalisi-d-interferenza.html

keyword 'transition' | 'transitional' in FonT

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

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

keyword 'transition' | 'transizion*' in Notes (quasi-stochastic poetry)

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

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

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