How do collective behaviours (high-order interdependencies) emerge?
Can systems with exclusively low-order interactions do it?
In https://t.co/3Ju9QY7FF2 we show precisely when and how these synergies emerge in minimal systems with low-order interactions
A 🧵1/N
Opinion dynamics: Statistical physics and beyond
accepted by Reviews of Modern Physics!
Great, interdisciplinary collaboration:
Fabian Baumann
Tobias Galla
David Garcia
Gerardo Iñiguez
Márton Karsai
Jan Lorenz
Katarzyna Sznajd-Weron
New (shorter) version https://t.co/DZO0A7TVFh
To conclude, massive thanks to my supervisor Luc @lucberthouze for (list is too long for the character limit), and Pedro Mediano for pushing me to test these intuitions on more complex systems!
How do collective behaviours (high-order interdependencies) emerge?
Can systems with exclusively low-order interactions do it?
In https://t.co/3Ju9QY7FF2 we show precisely when and how these synergies emerge in minimal systems with low-order interactions
A 🧵1/N
If these questions sound interesting to you, do contact me!
I will post a longer blog-like thread later here and on my website, I really want to share some graph-theory tricks that I think are very useful to study multivariate IT quantities.
For now: https://t.co/gFGrS0Immc
Obsidian is now free for work.
Starting today, the Obsidian Commercial license is optional. Anyone can use Obsidian for work, for free. If Obsidian benefits your organization, you can still purchase Commercial licenses to support development.
Nothing else is changing. No account required, no ads, no tracking, no strings attached. Your data remains fully in your control, stored locally in plain text Markdown files. All features are available to you for free without limits.
Why make this change? Simplicity. The Commercial license terms were confusing and added unnecessary complexity to our pricing. Furthermore, as the Obsidian Manifesto states: "we believe that everyone should have the tools to think clearly and organize ideas effectively". This change brings us closer to that principle.
People in over 10,000 organizations use Obsidian. Many work in high-security environments, like government, cybersecurity, and finance. Some of the largest organizations in the world, including Amazon and Google, have thousands of employees using Obsidian every day. These teams rely on Obsidian to think more effectively and keep total ownership over private data.
Previously, people at companies with two or more employees were required to purchase a Commercial license to use Obsidian for work. Going forward, the Commercial license is no longer required, but remains an optional way for organizations to support Obsidian, similar to the Catalyst license for individuals.
Organizations that support Obsidian are now featured on the Obsidian Enterprise page. Your organization can be showcased by purchasing 25 licenses or more.
Along with Commercial and Catalyst support, our add-on services, Sync and Publish help Obsidian remain 100% user-supported. In the future, we hope to offer more services designed for teams. As always, these will be optional.
The implications of Shannon's work do indeed continue to reverberate but it is somewhat misleading to ascribe the implications for basic science + our daily lives to his genius alone. Rather the implications are due to delicate synergies.
It is Shannon's work in synergistic combination with Turing's, von Neumann's, Jaynes', Hofstader's, Gell-Mann's, Hopfield's, Hartle's, Wheeler's and many others that provides the foundations for the science of information, computation and emergence that is just beginning to flourish.
And it is places like Bell Labs + (traditionally) The Santa Institute that in providing a "common now"—to channel Jim—facilitate the collision of minds and ideas that allow this instrumental synergy to grow.
The concepts of synergy + higher order interactions—and our ability to formalize them—is itself an outcome of these collisions.
What is the character of institutions, of policies, of our collaborations that allows synergies to flourish? What is the nature of environments that crush synergies? The key to enriching the present + future lies in no small part on this understanding + what we *choose* do with it.
Next instalment in my campaign of shameless self-promotion. I previously added an overview of my work on philosophy and consciousness to my homepage. Now I've added an overview of my (related) work on brain dynamics and connectivity: https://t.co/4Mc4tsCcEf
First PhD paper has been submitted and it’s now up on the Arxiv!
"Emergence of metastability in frustrated oscillatory networks: the key role of hierarchical modularity"
https://t.co/6DMo2aygYY
In particular, the symmetry-breaking parameter is encoded in the whole-system structure, it is not just a parameter in the equations of motion. Super happy to hear if anyone has any thoughts on this and to collaborate on similar ideas!
Finally, I am pretty sure it is possible to tackle all this analytically. The Ott-Antonsen reduction approach doesn't seem to work easily here, due to the nested nature of the order parameters.