The heat equation can be applied to diffuse probability densities (in particular, maintains positivity and unit mass). Its solution is obtained as the convolution of the initial condition with a Gaussian. https://t.co/MD3FiWtUid
Wind data can be challenging to access and analyze. With the new ACCAP & SNAP Community Wind Tool you can see historical and projected wind data across the state with accessible visualizations and graphs. Take a look! https://t.co/nnObQ2pfMF
"Epidemics with containment measures" in collaboration with P. L. Krapivsky is now in the arxiv. Check it out to have a theoretical understanding of the role of containment measures!
https://t.co/Kyg9Kftpse
Long-term prediction of chaotic systems with machine learning, Huawei Fan, Junjie Jiang, Chun Zhang, Xingang Wang, and Ying-Cheng Lai #machinelearning#complexsystems#nonlineardynamics https://t.co/zR5NAxjdTz
I’m excited to announce that the preprint of my first paper on the application of machine learning for global weather prediction is now available online! (https://t.co/Fe6SiTb3Am)
If anyone has large memory requirements for COVID-19 simulation work, get in touch. We have 3TB nodes that could be made available. @nextgenio#hpc#COVID19
Our work on the similarities between interacting contagions and socially driven contagion, @LHDnets@svscarpino . Featuring a @mcmc_stan model of interacting contagions!
The second edition of our book "Predictability of Chaotic Dynamics. A Finite-time Lyapunov Exponents Approach" by Juan C. Vallejo and Miguel A.F. Sanjuan has appeared. https://t.co/e9N0WY17yn
My new paper: "Nonlinearity + Networks: A 2020 Vision": https://t.co/d5iB7Ar2H5
"I highlight a few methods and ideas, including several of personal interest, that I anticipate to be especially important during the next several years."
Can you find all of the easter eggs in it?
We are getting closer and closer to our goal of realizing #swarmalators in drones. First demo will be on Dec 10. Work by Agata Barciś with help of her fellow students in our Popper PhD school under my supervision. Swarmalators were proposed by @kevsational, Hong, @stevenstrogatz.
Students taking a first course in nonlinear dynamics and chaos: My videotaped lectures are freely available on @YouTube here. Hope you find them useful. Prerequisites are elementary calculus and physics, and a little linear algebra. https://t.co/jcDF9H6S0F via @YouTube