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Mathematics

D-Index
54
Citations
8981
World Ranking
852
National Ranking
42

Overview

Michael Baake is affiliated with Bielefeld University in Germany and specializes in research primarily within the fields of mathematics and computer science. Their scholarly work encompasses several subfields, including computational theory and mathematics, mathematical physics, materials chemistry, algebra and number theory, and geometry and topology.

The scientist's research topics focus significantly on quasicrystal structures and properties, as well as mathematical dynamics and fractals. Other important areas include cellular automata and their applications, semigroups and automata theory, random matrices, analytic number theory research, and stochastic processes coupled with statistical mechanics.

Michael Baake has contributed extensively to academic literature, publishing papers in various venues. Frequent publication platforms include:

  • arXiv (Cornell University)
  • Indagationes Mathematicae
  • Documenta Mathematica
  • Ergodic Theory and Dynamical Systems
  • Israel Journal of Mathematics

Some notable recent papers from their work are:

  • "Fourier Transform of Rauzy Fractals and Point Spectrum of 1D Pisot Inflation Tilings," 2020, Documenta Mathematica
  • "Notes on Markov embedding," 2020, Linear Algebra and its Applications
  • "Number-theoretic positive entropy shifts with small centralizer and large normalizer," 2020, Ergodic Theory and Dynamical Systems
  • "Three variations on a theme by Fibonacci," 2020, Stochastics and Dynamics
  • "Dynamics and topology of the Hat family of tilings," 2023, arXiv (Cornell University)

Collaborations play a role in their research activity, with frequent co-authors including:

  • Franz Gähler
  • Jan Mazáč
  • Jeremy G. Sumner
  • Uwe Grimm
  • Álvaro Parra

Best Publications

  • Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra

    Michael Baake;Daniel Lenz

  • Fitting ordinary differential equations to chaotic data.

    Ellen Baake;Michael Baake;H. G. Bock;K. M. Briggs

  • Generalized model sets and dynamical systems

    Michael Baake;Robert Moody

  • Directions in Mathematical Quasicrystals

    Michael Baake;Robert Moody

  • Ising quantum chain is equivalent to a model of biological evolution

    Ellen Baake;Michael Baake;Holger Wagner

  • Weighted Dirac combs with pure point diffraction

    Michael Baake;Robert V. Moody

  • PLANAR PATTERNS WITH FIVEFOLD SYMMETRY AS SECTIONS OF PERIODIC STRUCTURES IN 4-SPACE

    M. Baake;P. Kramer;M. Schlottmann;D. Zeidler

  • Characterization of model sets by dynamical systems

    Michael Baake;Daniel H. Lenz;Robert V. Moody

  • Mathematical quasicrystals and the problem of diffraction

    Michael Baake;Robert Moody

  • Aperiodic Order. Vol 1. A Mathematical Invitation

    Michael Baake;Uwe Grimm

  • A Guide to Mathematical Quasicrystals

    Michael Baake

  • Palindrome complexity

    Jean-Paul Allouche;Michael Baake;Julien Cassaigne;David Damanik

  • Characterizations of model sets by dynamical systems

    Michael Baake;Daniel Lenz;Robert V. Moody

  • The Third Law of Thermodynamics and the Degeneracy of the Ground State for Lattice Systems

    Michael Aizenman;Elliott H. Lieb

  • Diffraction from visible lattice points and k th power free integers

    Michael Baake;Robert V. Moody;Peter A. B. Pleasants

  • LIMIT-(QUASI)PERIODIC POINT SETS AS QUASICRYSTALS WITH P-ADIC INTERNAL SPACES

    Michael Baake;Robert V Moody;Martin Schlottmann

  • Fierz identities for real Clifford algebras and the number of supercharges

    Unknown

  • The torus parametrization of quasiperiodic LI-classes

    Michael Baake;Joachim Hermisson;Peter A B Pleasants

  • TRACE MAPS, INVARIANTS, AND SOME OF THEIR APPLICATIONS

    Michael Baake;Uwe Grimm;Dieter Joseph

  • Digit tiling of euclidean space

    Michael Baake;Robert Moody

  • Dynamical systems on translation bounded measures: Pure point dynamical and diffraction spectra

    Michael Baake;Daniel Lenz

  • What is Aperiodic Order

    Michael Baake;David Damanik;Uwe Grimm

Frequent Co-Authors

Robert V. Moody
Robert V. Moody University of Victoria
Daniel Lenz
Daniel Lenz Friedrich Schiller University Jena
David Damanik
David Damanik Rice University
Friedrich Götze
Friedrich Götze Bielefeld University
Anton Bovier
Anton Bovier University of Bonn
Gernot Akemann
Gernot Akemann Bielefeld University
Hans Bock
Hans Bock Goethe University Frankfurt
Leonid Pastur
Leonid Pastur B Verkin Institute for Low Temperature Physics and Engineering
Robert Giegerich
Robert Giegerich Bielefeld University
Regine von Klitzing
Regine von Klitzing Technical University of Darmstadt

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