Hey guys,
In a rare interview, Perelman mentioned - The Poincare conjecture also gives an answer to the question about the shape of the Universe ( https://www.maa.org/news/math-news/perelman-calls-poincare-conjecture-formula-of-the-universe ).
Not really. But, this blog has made sure that Ricci Flow, Ricci Curvature & Poincare conjecture have lot of applications in this business world & Black hole stability.
1. NNs & Ricci Flow, Quantum Walk, Ricci-Yamabe maps for Riemannian flows, Drone Programming using Ricci Flow - https://researchcircle.blogspot.com/2022/04/nns-ricci-flow-quantum-walk-ricci.html?m=1 .
2. Ricci Flow, Market Fragility, Market Topology, Influencers & Game Theory, Ramanujan graph+Block Sparse Neural Networks, Hodge decomposition of information flow, RNNs - https://researchcircle.blogspot.com/2022/03/ricci-flow-market-fragility-market.html?m=1 .
3. Ricci Flow, Nash Entropy, Cigar Soliton, Lie groups, Sobolev inequality - https://researchcircle.blogspot.com/2022/03/ricci-flow-nash-entropy-cigar-soliton.html?m=1 .
4. Ricci Flow, Economics, COVID outbreak prediction and Drug Design - https://researchcircle.blogspot.com/2022/02/ricci-flow-economics-covid-outbreak.html?m=1 .
5. Ricci Flow, Neural Networks, Nash Entropy, Ricci Yang-Mills flow - https://researchcircle.blogspot.com/2022/02/ricci-flow-neural-networks-nash-entropy.html?m=1 .
6. Security, Topological Game Theory & Ricci Flow - https://researchcircle.blogspot.com/2022/02/security-topological-game-theory-ricci.html?m=1 .
7. Ricci Flow, Geomstats, Lie Groups on Julia & EconoPhysics - https://researchcircle.blogspot.com/2022/02/security-topological-game-theory-ricci.html?m=1 .
8. Ricci Flow, Economics & a brilliant blog by Gita Gopinath - https://researchcircle.blogspot.com/2022/02/job-posting-paper-ricci-flow-economics.html?m=1 .
9. 4 interesting papers on Ricci Flow & Deep Learning - https://researchcircle.blogspot.com/2022/01/4-interesting-papers-on-ricci-flow-deep.html?m=1 .
10. Ricci Curvature, Hawking's Vector and BlackHole Stability - https://researchcircle.blogspot.com/2022/08/stable-blackholes-perelman-ricci.html
11. Betti Numbers, Ricci Flow, Neural Network capacity, Graph Mining $ 1 million competition - https://researchcircle.blogspot.com/2022/09/betti-numbers-ricci-flow-neural-network.html
12. Thank you, IBM-DeepRing, Neural Networks & Ricci Flow Pruning, New way of solving Yang Mills - https://researchcircle.blogspot.com/2022/08/thank-you-ibm-deepring-neural-networks.html
13. Ollivier persistent Ricci curvature, Molecular design, CurvGAN - https://researchcircle.blogspot.com/2022/08/ollivier-persistent-ricci-curvature.html
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