Complex Systems Studies

Introduction to percolation theory. Hugo Duminil-Copin October 7, 2018 Abstract. These lecture notes present the content of a 10 hours class given for the Master 2 of Paris-Saclay.

Remco Van der Hofstad, TU Eindhoven 🎞 Progress in high-dimensional percolation 16w5085: Random Structures in High Dimensions

Yuval Peres, Microsoft Research 🎞 Random walks on dynamical percolation 17w5119: Stochastic Analysis and its Applications

Souvik Dhara, Micrsoft Research and MIT 🎞 Critical percolation on random networks with given degrees Files related to this video

Gady Kozma, Weizmann Institute 🎞 Critical and Near-Critical Percolation - 1 🎞 Critical and Near-Critical Percolation - 2 🎞 Critical and Near-Critical Percolation - 3 Video From 20ss230: Online Open Probability School

Scaling limits: from statistical mechanics to manifolds September 1-3, 2021 http://www.statslab.cam.ac.uk/james60 This workshop will take James' work as a jumping-off point for an exploration of future research directions in probability. There will be 16 invited talks loosely covering the following themes: Random growth processes and SPDEs Yang-Mills measure Limits of random graphs, random planar maps, and fragmentation processes Markov chains, interacting particle systems and fluid limits Diffusion processes and heat kernels.

🎞 The Structure of Complex Networks: Scale-Free and Small-World Random Graphs - Remco van der Hofstad https://www.aparat.com/v/gryA3 Abstract: Many phenomena in the real world can be phrased in terms of networks. Examples include the World-Wide Web, social interactions and Internet, but also the interaction patterns between proteins, food webs and citation networks. Many large-scale networks have, despite their diversity in backgrounds, surprisingly much in common. Many of these networks are small worlds, in the sense that one requires few links to hop between pairs of vertices. Also the variability of the number of connections between elements tends to be enormous, which is related to the scale-free phenomenon. In this lecture for a broad audience, we describe a few real-world networks and some of their empirical properties. We also describe the effectiveness of abstract network modeling in terms of graphs and how real-world networks can be modeled, as well as how these models help us to give sense to the empirical findings. We continue by discussing some random graph models for real-world networks and their properties, as well as their merits and flaws as network models. We conclude by discussing the implications of some of the empirical findings on information diffusion and competition on such networks. We assume no prior knowledge in graph theory, probability or otherwise.

The Network Pages The math and algorithms that keep us connected https://www.networkpages.nl/ we will publish interactive demonstrations

What is economic complexity? And how it is helping us understand the economy? More than a decade ago, two papers helped ignite the field. The first comprehensive review of Economic Complexity in Nature Review Physics https://t.co/hQTDpn9IMs

What is economic complexity? And how it is helping us understand the economy? More than a decade ago, two papers helped ignite the field. The first comprehensive review of Economic Complexity in Nature Review Physics https://t.co/hQTDpn9IMs

"Machine-Learning Mathematical Structures" (by Yang-Hui He): https://arxiv.org/abs/2101.06317 "We review, for a general audience, a variety of recent experiments on extracting structure from machine-learning mathematical data that have been compiled over the years."

💰 Fantastic position with Lauren Hadley to study prediction in conversation - apply here https://t.co/Kg1S6tKLKf but based in Glasgow (deadline 4th Feb)

If you are looking for a #PhD or #PostDoc position that starts in autumn 2021 and you are excited about developing interpretable, theory-driven NLP and ML methods to understand social and socio-technical phenomena, then ping me https://twitter.com/clauwa/status/1353633451170213895?s=19

💰 Interested in the brain, and you live outside Norway? Apply to one of 16 new #PhD positions opening in computational neuroscience, bioinformatics and AI at University of Oslo! Open until March 1st! https://www.mn.uio.no/compsci/english/

Data on COVID-19 vaccination is updated: https://t.co/03pQ8rRViP Total doses administered per 100 people: 🇮🇱 Israel 41.8 (+1.9 daily) 🇦🇪 UAE 25.1 (+0.9) 🇬🇧 UK 10.1 (+0.5) 🇧🇭 Bahrain 8.5 (+0.4) 🇺🇸 US 6.2 (+0.3) 🇲🇹 Malta 4.3 (+0.3) 🇩🇰 Denmark 3.5 (+0.1) 🇸🇮 Slovenia 2.7 (+0.1) https://t.co/0yCsV5ViHk

An estimate that there have been 105 million Americans (not the confirmed 25 million) with covid infections and why, beyond vaccination, masks and distancing will be essential to end the pandemic https://t.co/PNcBki2Iex

ولفرم و پروژه فیزیک محسن مهرانی در قسمت پیشین گوشه‌ای از خلاقیت‌های ولفرم را باهم مرور کردیم. قصد دارم در این قسمت و قسمت‌های پیش رو کمی در مورد تلاش‌های او در فیزیک بنیادی برایتان بنویسم. 🔗 sitpor.org/2021/01/wolfram2/ ~~~~~~ @sitpor ‌instagram.com/sitpor_media ~~~~~~~

شواهدی روبه‌روشدی نشون میدن که بدن افراد آلوده به کرونا می‌تونه پادتنی بسازه که به بافت‌های بدن آسیب بزنه؛ There's growing evidence that SARS-CoV-2 might cause the body to generate antibodies that attack its own tissues, perhaps explaining why some get so sick or for so long. #LongCovid https://t.co/I8w6DQeTQF

"Inference, Model Selection, and the Combinatorics of Growing Trees” https://t.co/nfJDH4WXvh https://t.co/7WGcFgpvYd

Fractional electric charges have been observed at crystal defects in artificial structures - casting light on what might happen in exotic materials called topological crystalline insulators http://go.nature.com/3o3eDl2