Browsing by Author "Baake, Michael"

Now showing 1 - 5 of 5
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    Aperiodic Order and Spectral Properties
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH, 2017) Baake, Michael; Damanik, David; Grimm, Uwe
    Periodic structures like a typical tiled kitchen floor or the arrangement of carbon atoms in a diamond crystal certainly possess a high degree of order. But what is order without periodicity? In this snapshot, we are going to explore highly ordered structures that are substantially nonperiodic, or aperiodic. As we construct such structures, we will discover surprising connections to various branches of mathematics, materials science, and physics. Let us catch a glimpse into the inherent beauty of aperiodic order!
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    Aspects of Aperiodic Order
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2023) Baake, Michael; Cortez, María Isabel; Damanik, David; Strungaru, Nicolae
    The theory of aperiodic order expanded and developed significantly since the discovery of quasicrystals, and continues to bring many mathematical disciplines together. The focus of this workshop was on harmonic analysis and spectral theory, dynamical systems and group actions, Schrödinger operators, and their roles in aperiodic order - with links into a full range of problems from number theory to operator theory.
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    Diffraction of stochastic point sets : exactly solvable examples
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008) Baake, Michael; Birkner, Matthias; Moody, Robert V.
    Stochastic point sets are considered that display a diffraction spectrum of mixed type, with special emphasis on explicitly computable cases together with a unified approach of reasonable generality. Several pairs of autocorrelation and diffraction measures are discussed that show a duality structure that may be viewed as analogues of the Poisson summation formula for lattice Dirac combs.
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    Mini-Workshop: Mathematics of Crystallisation
    (Zürich : EMS Publ. House, 2019) Baake, Michael; Heydenreich, Markus
    Crystallisation, by which we mean the formation of solids precipitating from a solution, is the central theme of the present mini-workshop. Participants discussed different approaches towards a rigorous mathematical understanding of crystallisation as well as detecting, modelling and establishing properties of crystalline and quasicrystalline structures.
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    What is pattern?
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH, 2022) Baake, Michael; Grimm, Uwe; Moody, Robert V.
    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.