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Project A6: Random versus deterministic dynamical systems with aperiodic long-range order


Principal Investigator(s)
Michael Baake
Visitor(s)
Currently no visitors.

Summary:

This project aims at contributions to the classification of aperiodic dynamical systems, by considering concrete classes of spatial systems with mixed spectrum and varying degree of randomness. Generalised Eberlein decompositions and exact renormalization methods will be employed to identify the relevant building blocks and to derive concrete results of practical relevance.


Recent Preprints:

25009 Michael Baake, Franz Gähler, Jan Mazáč, Andrew Mitchell PDF

Diffraction of the Hat and Spectre tilings and some of their relatives

Project: A6

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Diffraction of the Hat and Spectre tilings and some of their relatives


Authors: Michael Baake, Franz Gähler, Jan Mazáč, Andrew Mitchell Projects: A6
Submission Date: 07.02.2025 Submitter: Gernot Akemann
Download: PDF Link: 25009

24045 Ellen Baake, Michael Baake PDF

An alternative recursive approach to functions of simple triangular matrices

Project: A6, C1

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An alternative recursive approach to functions of simple triangular matrices


Authors: Ellen Baake, Michael Baake Projects: A6, C1
Submission Date: 17.06.2024 Submitter: Fernando Cordero
Download: PDF Link: 24045

24032 Ellen Baake, Michael Baake PDF

A multiple coupon collection process and its Markov embedding structure

Project: A6, C1

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A multiple coupon collection process and its Markov embedding structure


Authors: Ellen Baake, Michael Baake Projects: A6, C1
Submission Date: 10.05.2024 Submitter: Fernando Cordero
Download: PDF Link: 24032

24028 Michael Baake, Jeremy Sumner PDF

On the algebra of equal-input matrices in time-inhomogeneous Markov flows

Project: A6

Published: Docum. Math. 30 (2025), 455 - 474

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On the algebra of equal-input matrices in time-inhomogeneous Markov flows


Authors: Michael Baake, Jeremy Sumner Projects: A6
Submission Date: 25.04.2024 Submitter: Ellen Baake
Download: PDF Link: 24028
Published: Docum. Math. 30 (2025), 455 - 474

24021 Wolf-Jürgen Beyn, Thorsten Hüls PDF

Angular spectra of linear dynamical systems in discrete time

Project: A6, B3

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Angular spectra of linear dynamical systems in discrete time


Authors: Wolf-Jürgen Beyn, Thorsten Hüls Projects: A6, B3
Submission Date: 04.04.2024 Submitter: Michael Baake
Download: PDF Link: 24021

23103 Neil Mañibo PDF

Substitutions and their generalisations

Project: A6

Published: Israel Journal of Chemistry 64 (2024), Article number e202300159

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Substitutions and their generalisations


Authors: Neil Mañibo Projects: A6
Submission Date: 10.03.2025 Submitter: Michael Baake
Download: PDF Link: 23103
Published: Israel Journal of Chemistry 64 (2024), Article number e202300159

23097 Michael Coons, James Evans, Philipp Gohlke, Neil Mañibo PDF

Spectral theory of regular sequences: parametrisation and spectral characterisation

Project: A6

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Spectral theory of regular sequences: parametrisation and spectral characterisation


Authors: Michael Coons, James Evans, Philipp Gohlke, Neil Mañibo Projects: A6
Submission Date: 11.03.2025 Submitter: Michael Baake
Download: PDF Link: 23097

23091 Michael Baake, Alan Haynes PDF

Convergence of Fourier--Bohr coefficients for regular Euclidean model sets

Project: A6

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Convergence of Fourier--Bohr coefficients for regular Euclidean model sets


Authors: Michael Baake, Alan Haynes Projects: A6
Submission Date: 18.12.2023 Submitter: Sebastian Herr
Download: PDF Link: 23091

23073 Michael Baake, Franz Gähler, Jan Mazáč PDF

On the Fibonacci tiling and its modern ramifications

Project: A6

Published: Israel Journal of Chemistry 64 (2024), e202300155

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On the Fibonacci tiling and its modern ramifications


Authors: Michael Baake, Franz Gähler, Jan Mazáč Projects: A6
Submission Date: 14.11.2023 Submitter: Sebastian Herr
Download: PDF Link: 23073
Published: Israel Journal of Chemistry 64 (2024), e202300155

23071 Michael Baake, Jeremy Sumner PDF

Embedding of Markov matrices for $d \leq 4$

Project: A6

Published: J. Math. Biol. 89 (2024), 23 : 1 - 45

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Embedding of Markov matrices for $d \leq 4$


Authors: Michael Baake, Jeremy Sumner Projects: A6
Submission Date: 07.11.2023 Submitter: Sebastian Herr
Download: PDF Link: 23071
Published: J. Math. Biol. 89 (2024), 23 : 1 - 45


All Publications of this Project


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