Browsing 2 - Snapshots of Modern Mathematics from Oberwolfach by Author "Geldhauser, Carina"

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    • Cutoff Phenomenon: Surprising Behaviour in Card Shuffling and other Markov Chains 

      [SNAP-2023-005-EN] Baraquin, Isabelle; Lafrenière, Nadia; Schuh, Katharina (Mathematisches Forschungsinstitut Oberwolfach, 2023-12-21)
      This snapshot compares two techniques of shuffling a deck of cards, asking how long it will take to shuffle the cards until a “well-mixed deck” is obtained. Surprisingly, the number of shuffles can be very different for ...

    • Randomness is Natural - an Introduction to Regularisation by Noise 

      [SNAP-2024-002-EN] Djurdjevac, Ana; Altman, Henri Elad; Rosati, Tommaso (Mathematisches Forschungsinstitut Oberwolfach, 2024-05-22)
      Differential equations make predictions on the future state of a system given the present. In order to get a sensible prediction, sometimes it is necessary to include randomness in differential equations, taking microscopic ...