Eva Miranda
evamirandag.bsky.social
Mathematician, Full Professor at UPC Icrea Academia @icreacommunity @CRMatematica @AvHStiftung @UniCologne living on a "mote of dust suspended in a sunbeam".
👤 Joined on 16 November 2024
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- 16 Kas 2024, 12:16
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A two-dimensional billiard table can simulate a universal Turing machine with one ball and fixed walls. Some long-term trajectory questions therefore cannot always be predicted by an algorithm. doi.org/hckdp6
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One of the most-viewed PNAS articles in the last week is “Two-dimensional billiards are Turing complete.” Explore the article here: https://ow.ly/zs8G50ZPTvY For more trending articles, visit https://ow.ly/YEYv50ZPTvZ.
Show PostBefore OpenAI announces the resolution of the next Millennium Prize Problem, allow me a little mathematical flex 😎. We proved that a single ball in a 2D billiard can simulate a universal Turing machine, solving a problem posed by Cris Moore.🎱🤖 Read it here @pnas.org: www.pnas.org/doi/10.1073/...
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A group of 25 Fields Medalists, including myself, have made a joint declaration on Math and AI: mathandai.org . We welcome additional signatories. See also this article in the Economist announcing the declaration: www.economist.com/science-and-...
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Apologies @evamirandag.bsky.social , didn't know you were here, could have reposted yours instead
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