Browsing 2023 by Title
Now showing items 3-8 of 8
-
Cutoff Phenomenon: Surprising Behaviour in Card Shuffling and other Markov Chains
[SNAP-2023-005-EN] (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 ... -
Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften
[SNAP-2023-003-DE] (Mathematisches Forschungsinstitut Oberwolfach, 2023-09-19)Wir werden einige grundlegende Ideen der Eichtheorie und der dazugehörigen Differentialtopologie erkunden. Damit kann sich die Leserin ein Bild des Modulraums flacher Zusammenhänge machen und ihn mit den physikalisch ... -
The Geometry of Fair Division
[SNAP-2023-007-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2023-12-30)How can we fairly divide a necklace with various types of beads? We use this problem as a motivating example to explain how geometry naturally appears in solutions of non-geometric problems. The strategy we develop to solve ... -
Geproci Sets: a New Perspective in Algebraic Geometry
[SNAP-2023-008-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2023-12-30)Geproci sets arise from applying the perspective of inverse scattering problems to algebraic geometry. Analogous to the reconstruction of an object from multiple X-ray images, we aim at a classification of sets with certain ... -
Patterns and Waves in Theory, Experiment, and Application
[SNAP-2023-001-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-04)In this snapshot of modern mathematics we describe some of the most prevalent waves and patterns that can arise in mathematical models and which are used to describe a number of biological, chemical, physical, and social ... -
The Periodic Tables of Algebraic Geometry
[SNAP-2023-002-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2023-09-04)To understand our world, we classify things. A famous example is the periodic table of elements, which describes the properties of all known chemical elements and gives us a classification of the building blocks we can use ...