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fermatslibrary's profile
Fermat's Library
Fermat's Library
Fermat's Library
@fermatslibrary

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Fermat's Library

@fermatslibrary

A platform for illuminating academic papers. We publish an annotated paper every week. Our chrome extension for arXiv: https://fermatslibrary.com/librarian 

fermatslibrary.com
Joined September 2015

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    Fermat's Library‏ @fermatslibrary 27 Jun 2018
    • Report Tweet
    • Report NetzDG Violation

    Here's a curious property of Brownian motion: it will fill out the whole space in 1D (a line), 2D (a sheet), but it can't fill a 3D or higher space.pic.twitter.com/kGDhOOFEJC

    5:58 AM - 27 Jun 2018
    • 1,122 Retweets
    • 3,725 Likes
    • David Oriola 🎗 StatCafe Lara. 078 Kedar Bhasme javier Ankit Sharma Deepika Patil 𝙿𝚊𝚞𝚕𝚒𝚗𝚊 Feynboy
    43 replies 1,122 retweets 3,725 likes
      1. New conversation
      2. Thamizh Kudimagan‏ @ThamizhKudimagn 27 Jun 2018
        • Report Tweet
        • Report NetzDG Violation
        Replying to @fermatslibrary

        Is there a proof/justification/explanation somewhere?

        1 reply 0 retweets 6 likes
      3. Anthony Lloyd‏ @AnthonyLloyd123 27 Jun 2018
        • Report Tweet
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        Replying to @ThamizhKudimagn @fermatslibrary

        https://math.dartmouth.edu/~pw/math100w13/mare.pdf …

        2 replies 7 retweets 52 likes
      4. 1 more reply
      1. New conversation
      2. Carlos García‏ @Carl0sGS 27 Jun 2018
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        Replying to @fermatslibrary

        Note that birds can also use Lévy Flight when they are lost. Lévy Flights have much better space-filling properties than Brownian motion - in fact they are scale free!pic.twitter.com/8kuPCHu6Nj

        1 reply 3 retweets 32 likes
      3. Carlos García‏ @Carl0sGS 27 Jun 2018
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        Replying to @Carl0sGS @fermatslibrary

        However we must be realistic: in practice there is no such thing as an ideal Lévy Flight. This arises from the fact that nothing can go on a perfect straight trajectory for arbitrarily large distances. More discussion in my paper:https://link.springer.com/chapter/10.1007/978-3-319-63537-8_14 …

        1 reply 0 retweets 13 likes
      4. 1 more reply
      1. New conversation
      2. Matt Leach‏ @nextcontext 27 Jun 2018
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        Replying to @fermatslibrary

        Love to see an explanation for this :-)

        1 reply 0 retweets 9 likes
      3. Matt Leach‏ @nextcontext 27 Jun 2018
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        Replying to @nextcontext @fermatslibrary

        ...That I have even the faintest chance of understanding... :-)

        2 replies 0 retweets 13 likes
      4. 7 more replies
      1. Tamás Görbe‏ @TamasGorbe 27 Jun 2018
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        Replying to @fermatslibrary

        AKA Pólya's random walk theorem.

        0 replies 2 retweets 13 likes
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      1. New conversation
      2. 𝓡𝓐𝓗𝓘𝓜 Μωάμεθ - راحم محمد‏ @islamath 27 Jun 2018
        • Report Tweet
        • Report NetzDG Violation
        Replying to @fermatslibrary

        show me the LateX

        1 reply 0 retweets 7 likes
      3. Jeremy Sachs‏ @rezmason 27 Jun 2018
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        Replying to @islamath @fermatslibrary

        pic.twitter.com/V0htp7bAXp

        0 replies 0 retweets 4 likes
      4. End of conversation
      1. New conversation
      2. NeuroBill‏ @NeuroBill 27 Jun 2018
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        Replying to @fermatslibrary @KordingLab

        @3blue1brown I would love to see your take on this. I can't justify it and I don't understand the proof provided in the replies: https://math.dartmouth.edu/~pw/math100w13/mare.pdf …

        1 reply 1 retweet 4 likes
      3. NeuroBill‏ @NeuroBill 27 Jun 2018
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        Replying to @NeuroBill @fermatslibrary and

        I thought it might appeal to you because this proof uses electrical engineering to solve a problem that is completely unrelated to electronics.

        0 replies 0 retweets 2 likes
      4. End of conversation

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