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What is Pattern?

Oberwolfach'tan

What is Pattern?

Pattern is ubiquitous and seems totally familiar. Yet if we ask what it is, we find a bewildering collection of answers. Here we suggest that there is a common thread, and it revolves around dynamics.

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Matematiksel konular

Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Olasılık Kuramı ve İstatistik

Diğer alanlarla ilişkiler

Bilgisayar Bilimeri
Mühendislik ve Teknoloji
Yaşam Bilimleri
Fizik
Matematik Üzerine Düşünceler

Yazar(lar)

Michael Baake, Uwe Grimm, Robert V. Moody

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2022-009-EN

PDF indir

snapshot-2022-009.pdf

PDF

snapshots: overview

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      Waves and incidences
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      The geometry of fair division
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      4 = 2 × 2, or the power of even integers in Fourier analysis
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      Cutoff phenomenon: Surprising behaviour in card shuffling and other Markov chains
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      Algebras and quantum games
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      Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften
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      The periodic tables of algebraic geometry
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      Patterns and waves in theory, experiment, and application
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      Closed geodesics on surfaces
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      Route planning for bacteria
      Fabian Mussnig
      Characterizations of intrinsic volumes on convex bodies and convex functions
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      A tale of three curves
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      What is Pattern?
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      Biological Shape Analysis with Geometric Statistics and Learning
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      Representations and degenerations
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      Solving inverse problems with Bayes’ theorem
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      Jewellery from tessellations of hyperbolic space
      Chr istina Frederick, Yunan Yang
      Seeing through rock with help from optimal transport
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      Searching for the Monster in the Trees
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      The Robinson–Schensted algorithm
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      Emergence in biology and social sciences
      Jason D. Lotay
      Lagrangian mean curvature flow
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      Finite geometries: pure mathematics close to applications
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      Describing distance: from the plane to spectral triples
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      Quantum symmetry
      Fadoua Balabdaoui, Yulia Kulagina
      The Enigma behind the Good–Turing formula
      Anna Haensch
      Reflections on hyperbolic space
      Isaac Goldbring
      Ultrafilter methods in combinatorics
      Gandalf Lechner
      Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren
      Baptiste Rognerud
      Invitation to quiver representation and Catalan combinatorics
      Po-Ling Loh
      Searching for structure in complex data: A modern statistical quest
      David Kerr
      C∗-algebras: structure and classification
      Sara Lamboglia, Martin Ulirsch
      From the dollar game to the Riemann-Roch Theorem
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      Higgs bundles without geometry
      Behrend Heeren, Martin Rumpf
      Shape space - a paradigm for character animation in computer graphics
      Joshua Zahl
      Rotating needles, vibrating strings, and Fourier summation
      Moritz Weber
      Quantum symmetry
      Christian Berg
      Determinacy versus indeterminacy
      Jayadev S. Athreya, David Aulicino
      Vertex-to-Self Trajectories on the Platonic Solids
      Gianluca Finocchio
      Random matrix theory: Dyson Brownian motion
      Holger Kammeyer, Roman Sauer
      From Betti numbers to l2-Betti numbers
      Martin J. Gander
      Is it possible to predict the far future before the near future is known accurately?
      Jan-Bernhard Kordaß
      The Interaction of Curvature and Topology
      barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggianti, Amjad Fuffaha, Justin Weber
      The Mathematics of Fluids and Solids
      Jake Fillman, Tom van den Boom
      A surprising connection between quantum mechanics and shallow water waves
      Daniel Zelazo, Shiyu Zhao
      Formation Control and Rigidity Theory
      Ana Khukhro
      Expander graphs and where to find them
      Simon Arridge, Maarten de Hoop, Peter Maass, Ozan Öktem, Carola Schönlie, Michael Unser
      Deep Learning and Inverse Problems
      Jan Martin Nordbotten
      Mixed-dimensional models for real-world applications
      Pietro Milici
      Touching the transcendentals: tractional motion from the birth of calculus to future perspectives
      Loïc Petitgirard
      Analogue mathematical instruments: Examples from the “theoretical dynamics” group (France, 1948–1964)
      Rita Jiménez Rolland, Miguel A. Xicoténcatl
      Configuration spaces and braid groups
      Tereza Klimošová
      Limits of graph sequences
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      On Logic, Choices and Games
      Barbara Kaltenbacher, Rainer Brunnhuber
      Nonlinear Acoustics
      Volker Betz
      Random permutations
      Hugo Duminil-Copin
      Counting self-avoiding walks on the hexagonal lattice
      A. S. Detinko, D. L. Flannery, A. Hulpke
      Algebra, matrices, and computers
      Jonathan Rosenberg, David Wraith
      Positive Scalar Curvature and Applications
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      Diophantine equations and why they are hard
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      Estimating the volume of a convex body
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      Mixed volumes and mixed integrals
      Filippo Santambrogio
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      Sebastian Schönnenbeck
      Number theory in quantum computing
      Matthias Morzfeld, Sebastian Reich
      Data assimilation: mathematics for merging models and data
      Claus Hertling
      Geometry behind one of the Painlevé III differential equations
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      The codimension
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      The mathematics of aquatic locomotion
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      Tropical geometry
      Alex Barnett
      Fast Solvers for Highly Oscillatory Problems
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      Topological Complexity, Robotics and Social Choice
      Thomas Sauer
      Prony’s method: an old trick for new problems
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      Computing with symmetries
      Piotr Sułkowski
      Topological recursion
      Anna Seigal
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      Solving quadratic equations in many variables
      Chi-Wang Shu
      Mathematics plays a key role in scientific computing
      Mauricio Bustamante, Jan-Bernhard Kordaß
      Spaces of Riemannian metrics
      Shaula Fiorelli Vilmart, Gilles Vilmart
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      Justin Solomon
      Computational Optimal Transport
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      A few shades of interpolation
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      Molecular quantum dynamics
      Marco Radeschi
      Closed geodesics on surfaces and Riemannian manifolds
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      Mathematische Modellierung von Krebswachstum
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      Aperiodic Order and Spectral Properties
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      Towards a Mathematical Theory of Turbulence in Fluids
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      Profinite groups
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      The adaptive finite element method
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      Footballs and donuts in four dimensions
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      The Willmore Conjecture
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      Prime Tuples in Function Fields
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      Polyhedra and commensurability
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      Symmetry and characters of finite groups
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      On the containment problem
      Éric Fusy
      Random sampling of domino and lozenge tilings
      Magnus Egerstedt
      Swarming robots
      Ulrich Krähmer
      From computer algorithms to quantum field theory: an introduction to operads
      Juanjo Rué
      Domino tilings of the Aztec Diamond
      Sebastian Funk
      The mystery of sleeping sickness – why does it keep waking up?
      Antti Knowles
      Quantum diffusion
      Amanda Swan, Albert Murtha
      Modelling the spread of brain tumours
      J. Marron
      Visual Analysis of Spanish Male Mortality
      Christopher Sangwin
      Curriculum development in university mathematics: where mathematicians and education collide
      Jürg Kramer, Anna-Maria Pippich
      Special values of zeta functions and areas of triangles
      Victoria Powers
      How to choose a winner : the mathematics of social choice
      Valentina Kiritchenko, Evgeny Smirnov, Vladlen Timorin
      Ideas of Newton-Okounkov bodies
      Ben Schweizer
      Darcy’s law and groundwater flow modelling
      Raluca Eftimie
      Modelling communication and movement: from cells to animals and humans
      Tom Solomon
      Chaos and chaotic fluid mixing
      Thorsten Holm
      Friezes and tilings
      George Willis
      Zero-dimensional symmetry
      Christine Breiner
      Minimizing energy
      Diana Davis
      Billiards and flat surfaces
      Peter Benner, Hermann Mena, René Schneider
      Drugs, herbicides, and numerical simulation
      Gregory Knese
      Operator theory and the singular value decomposition
      Alain Valette
      The Kadison-Singer problem
      Ragnar-Olaf Buchweitz, Eleonore Faber
      Swallowtail on the shore
      Howell Tong
      Statistics and dynamical phenomena
      Brian Harbourne, Thomas Szemberg
      Arrangements of lines
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      The ternary Goldbach Problem
      Wolfgang Lerche
      Matrixfaktorisierungen
      John E. McCarthy
      Dirichlet Series

      Matematiksel konular

      Cebir ve Sayılar Kuramı
      Analiz
      Eğitim ve Eğitim Bilimi
      Ayrık Matematik ve Matematiğin Temelleri
      Geometri ve Topoloji
      Nümerik ve Hesap Analizi
      Olasılık Kuramı ve İstatistik

      Diğer alanlarla ilişkiler

      Kimya ve Yer Bilimler
      Bilgisayar Bilimeri
      Mühendislik ve Teknoloji
      Finans
      Beşeri ve Sosyal Bilimler
      Yaşam Bilimleri
      Fizik
      Matematik Üzerine Düşünceler

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