http://publications.mfo.de/handle/mfo/4052 Wed, 08 Apr 2026 20:36:32 GMT 2026-04-08T20:36:32Z http://publications.mfo.de/handle/mfo/4176 Cutoff-Phänomen: überraschendes Verhalten beim Kartenmischen und bei weiteren Markovketten Baraquin, Isabelle; Lafrenière, Nadia; Schuh, Katharina Dieser Schnappschuss vergleicht zwei Arten des Kartenmischens und untersucht, wie lange es dauert einen "gut gemischten" Kartenstapel zu erhalten. Überraschenderweise kann das Mischverhalten auch für sehr ähnlich ausschauende Kartenmischtechniken sehr unterschiedlich sein.; [Also available in English] Tue, 22 Oct 2024 00:00:00 GMT http://publications.mfo.de/handle/mfo/4176 2024-10-22T00:00:00Z Baraquin, Isabelle Lafrenière, Nadia Schuh, Katharina Dieser Schnappschuss vergleicht zwei Arten des Kartenmischens und untersucht, wie lange es dauert einen "gut gemischten" Kartenstapel zu erhalten. Überraschenderweise kann das Mischverhalten auch für sehr ähnlich ausschauende Kartenmischtechniken sehr unterschiedlich sein. [Also available in English] http://publications.mfo.de/handle/mfo/4111 Geproci Sets: a New Perspective in Algebraic Geometry Chiantini, Luca; Harbourne, Brian 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 algebraic properties under multiple projections. Sat, 30 Dec 2023 00:00:00 GMT http://publications.mfo.de/handle/mfo/4111 2023-12-30T00:00:00Z Chiantini, Luca Harbourne, Brian 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 algebraic properties under multiple projections. http://publications.mfo.de/handle/mfo/4110 The Geometry of Fair Division Frick, Florian 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 this problem has been used in several other contexts. Sat, 30 Dec 2023 00:00:00 GMT http://publications.mfo.de/handle/mfo/4110 2023-12-30T00:00:00Z Frick, Florian 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 this problem has been used in several other contexts. http://publications.mfo.de/handle/mfo/4105 4 = 2 × 2, or the Power of Even Integers in Fourier Analysis Negro, Giuseppe; Oliveira e Silva, Diogo We describe how simple observations related to vectors of length 1 recently led to the proof of an important mathematical fact: the sharp Stein–Tomas inequality from Fourier restriction theory, a pillar of modern harmonic analysis with surprising applications to number theory and geometric measure theory. Sat, 30 Dec 2023 00:00:00 GMT http://publications.mfo.de/handle/mfo/4105 2023-12-30T00:00:00Z Negro, Giuseppe Oliveira e Silva, Diogo We describe how simple observations related to vectors of length 1 recently led to the proof of an important mathematical fact: the sharp Stein–Tomas inequality from Fourier restriction theory, a pillar of modern harmonic analysis with surprising applications to number theory and geometric measure theory. http://publications.mfo.de/handle/mfo/4094 Cutoff Phenomenon: Surprising Behaviour in Card Shuffling and other Markov Chains Baraquin, Isabelle; Lafrenière, Nadia; Schuh, Katharina 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 very similar looking shuffling techniques.; [Also available in German] Thu, 21 Dec 2023 00:00:00 GMT http://publications.mfo.de/handle/mfo/4094 2023-12-21T00:00:00Z Baraquin, Isabelle Lafrenière, Nadia Schuh, Katharina 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 very similar looking shuffling techniques. [Also available in German] http://publications.mfo.de/handle/mfo/4089 Algebras and Quantum Games Paulsen, Vern I. Everyone loves a good game, but when the players can access the counterintuitive world of quantum mechanics, watch out! Tue, 28 Nov 2023 00:00:00 GMT http://publications.mfo.de/handle/mfo/4089 2023-11-28T00:00:00Z Paulsen, Vern I. Everyone loves a good game, but when the players can access the counterintuitive world of quantum mechanics, watch out! http://publications.mfo.de/handle/mfo/4069 Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften Saberi, Ingmar 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 motivierten Ideen dahinter in Beziehung bringen. Den Begriffen von Symmetrien und Feldern gehen wir gründlich nach. Außerdem werfen wir einen flüchtigen Blick auf unendliche Symmetrie in zwei Dimensionen und auf vor kurzem entdeckte Verallgemeinerungen. Tue, 19 Sep 2023 00:00:00 GMT http://publications.mfo.de/handle/mfo/4069 2023-09-19T00:00:00Z Saberi, Ingmar 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 motivierten Ideen dahinter in Beziehung bringen. Den Begriffen von Symmetrien und Feldern gehen wir gründlich nach. Außerdem werfen wir einen flüchtigen Blick auf unendliche Symmetrie in zwei Dimensionen und auf vor kurzem entdeckte Verallgemeinerungen. http://publications.mfo.de/handle/mfo/4067 The Periodic Tables of Algebraic Geometry Belmans, Pieter 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 in physics, chemistry, and biology. In mathematics, and algebraic geometry in particular, there are many instances of similar “periodic tables”, describing fundamental classification results. We will go on a tour of some of these. Mon, 04 Sep 2023 00:00:00 GMT http://publications.mfo.de/handle/mfo/4067 2023-09-04T00:00:00Z Belmans, Pieter 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 in physics, chemistry, and biology. In mathematics, and algebraic geometry in particular, there are many instances of similar “periodic tables”, describing fundamental classification results. We will go on a tour of some of these. http://publications.mfo.de/handle/mfo/4053 Patterns and Waves in Theory, Experiment, and Application Bramburger, Jason J. 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 processes. We begin by focussing on two types of patterns that do not change in time: space-filling patterns and localized patterns. We then discuss two types of waves that evolve predictably as time goes on: spreading waves and rotating waves. All our examples are motivated with real-world applications and we highlight some of the main lines of research that mathematicians pursue to better understand them. Tue, 04 Jul 2023 00:00:00 GMT http://publications.mfo.de/handle/mfo/4053 2023-07-04T00:00:00Z Bramburger, Jason J. 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 processes. We begin by focussing on two types of patterns that do not change in time: space-filling patterns and localized patterns. We then discuss two types of waves that evolve predictably as time goes on: spreading waves and rotating waves. All our examples are motivated with real-world applications and we highlight some of the main lines of research that mathematicians pursue to better understand them.