🔲 A fracton is a collective quantized vibration on a substrate with a fractal structure.

Fractons are the fractal analog of phonons. Phonons are the result of applying translational symmetry to the potential in a Schrödinger equation. Fractal self-similarity can be thought of as a symmetry somewhat comparable to translational symmetry. Translational symmetry is symmetry under displacement or change of position, and self-similarity is symmetry under change of scale. The quantum mechanical solutions to such a problem in general lead to a continuum of states with different frequencies. In other words, a fracton band is comparable to a phonon band. The vibrational modes are restricted to part of the substrate and are thus not fully delocalized, unlike phonon vibrational modes. Instead there is a hierarchy of vibrational modes which encompass smaller and smaller parts of the substrate.

Wikipedia

💶 https://aeon.co/essays/has-the-time-come-for-a-quantum-revolution-in-economics

💷 https://www.nature.com/articles/nphys4337

💻 Inspired by population genetics, Hobson & David McDonald developed new network analysis tools to explore relationships across micro, meso, and macro levels of animal society and apply these to mountain goats, manakins, and monk parakeets
http://hobsonresearch.com/index.php/2017/12/31/new-network-metrics/

Deborah Gordon: What ants teach us about the brain, cancer and the Internet | TED Talk

🎞 https://www.ted.com/talks/deborah_gordon_what_ants_teach_us_about_the_brain_cancer_and_the_internet/up-next

Also see the paper below 👇🏼👇🏼👇🏼

❌ WARNING:

⚠️We strongly recommend you to update all of your devices, including desktops, laptops, and mobile devices:

https://en.wikipedia.org/wiki/Spectre_(security_vulnerability)
https://en.wikipedia.org/wiki/Meltdown_(security_vulnerability)

🛑 Microsoft released an emergency update to Windows 10, 8.1, and 7 SP1 to address the vulnerability on January 3, 2018, as well as Windows Server. These patches are known to cause conflicts with specific third-party antivirus software that use unsupported kernel calls;

https://en.wikipedia.org/wiki/Meltdown_(security_vulnerability)

IBM Research - Zurich, Computational systems biology
https://www.zurich.ibm.com/compsysbio/

📚 https://www.goodreads.com/shelf/show/complexity

💡 http://adamilab.blogspot.jp/2016/12/can-life-emerge-spontaneously.html?m=1

💻 🧠 https://www.quantamagazine.org/mapping-the-brain-to-build-better-machines-20160406/

Complexity Matters: A Re-Introduction to Complexity | Denise Easton | LinkedIn
https://www.linkedin.com/pulse/complexity-matters-re-introduction-denise-easton

📖 Phase Transitions and Collective Phenomena Lecture Notes
Prof Ben Simons

http://www.tcm.phy.cam.ac.uk/~bds10/phase.html

Arthur "Tree" Cayley (RB, 2018). 1024 vertices. 1023 edges. Connected and acylic. https://t.co/p2MUGW5Wdz

🔸 دکتر رامین گلستانیان به عنوان مدیر علمی به انستیتو ماکس پلانک پیوست

http://www.psi.ir/news2_fa.asp?id=2381

آقای دکتر رامین گلستانیان، فیزیکدان و دانش‌آموخته دانشگاه‌های صنعتی شریف و تحصیلات تکمیلی زنجان به عنوان دایراکتور (مدیر علمی)‌ به پژوهشگاه دینامیک و خود‌سامان‌دهی ماکس پلانک در شهر گوتینگن آلمان پیوست. دکتر گلستانیان کارشناسی فیزیک خود را از دانشگاه صنعتی شریف و کارشناسی ارشد و دکتری خود را از دانشگاه تحصیلات تکمیلی زنجان گرفت. او که در کارنامه خود ریاست دانشکده فیزیک دانشگاه تحصیلات تکمیلی زنجان و استادی دانشگاه آکسفورد را دارد، از ابتدای سال جاری مسیحی، به پژوهشگاه ماکس پلانک در شهر گوتینگن پیوست تا بخشی را با عنوان فیزیک مواد زنده، در آن پژوهشگاه راه‌اندازی و هدایت کند.

goo.gl/xW9MvU

Lorenz Attractor Simulation