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



Summary:

This project aims at contributions to a classification of spatial dynamical systems with coexistence of long-range aperiodic order and structural disorder of positive entropy. Our approach will employ spectral methods from harmonic analysis and dynamical systems theory, based on their connection via general Eberlein decompositions. Systems to be investigated will include random inflation rules, random tilings and point processes with Delone-type realizations.


Recent Preprints:

19022 Robbert Fokkink, Dan Rust PDF

A modification of Wythoff's Nim

Project: A6

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A modification of Wythoff's Nim


Authors: Robbert Fokkink, Dan Rust Projects: A6
Submission Date: 21.05.2019 Submitter: Michael Baake
Download: PDF Link: 19022

19019 Michael Baake, Uwe Grimm PDF

Scaling of diffraction intensities near the origin: Some rigorous results

Project: A6

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Scaling of diffraction intensities near the origin: Some rigorous results


Authors: Michael Baake, Uwe Grimm Projects: A6
Submission Date: 15.05.2019 Submitter: Sebastian Herr
Download: PDF Link: 19019

18068 Michael Baake, Franz Gähler, Neil Manibo PDF

Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction

Project: A6

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Renormalisation of pair correlation measures for primitive inflation rules and absence of absolutely continuous diffraction


Authors: Michael Baake, Franz Gähler, Neil Manibo Projects: A6
Submission Date: 14.12.2018 Submitter: Sebastian Herr
Download: PDF Link: 18068

18067 Michael Baake, Philipp Gohlke, Marc Kesseböhmer, Tanja Schindler PDF

Scaling properties of the Thue–Morse measure

Project: A6

Published: Discrete and Continuous Dynamical Systems 39 (2019), 4157-4185

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Scaling properties of the Thue–Morse measure


Authors: Michael Baake, Philipp Gohlke, Marc Kesseböhmer, Tanja Schindler Projects: A6
Submission Date: 14.12.2018 Submitter: Franz Gähler
Download: PDF Link: 18067
Published: Discrete and Continuous Dynamical Systems 39 (2019), 4157-4185

18066 Philipp Gohlke, Timo Spindeler PDF

Ergodic frequency measures for random substitutions

Project: A6

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Ergodic frequency measures for random substitutions


Authors: Philipp Gohlke, Timo Spindeler Projects: A6
Submission Date: 14.12.2018 Submitter: Michael Baake
Download: PDF Link: 18066

18065 Dan Rust, Timo Spindeler PDF

Dynamical systems arising from random substitutions

Project: A6

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Dynamical systems arising from random substitutions


Authors: Dan Rust, Timo Spindeler Projects: A6
Submission Date: 14.12.2018 Submitter: Michael Baake
Download: PDF Link: 18065

18064 Philipp Gohlke, Dan Rust, Timo Spindeler PDF

Shifts of finite type and random substitutions

Project: A6

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Shifts of finite type and random substitutions


Authors: Philipp Gohlke, Dan Rust, Timo Spindeler Projects: A6
Submission Date: 14.12.2018 Submitter: Michael Baake
Download: PDF Link: 18064

18063 Dan Rust PDF

Periodic points in random substitution subshifts

Project: A6

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Periodic points in random substitution subshifts


Authors: Dan Rust Projects: A6
Submission Date: 14.12.2018 Submitter: Michael Baake
Download: PDF Link: 18063

17042 Michael Baake, Timo Spindeler, Nicolae Strungaru PDF

Diffraction of compatible random substitutions in one dimension

Project: A6

Published: Indagationes Mathematicae 29 (2018), 1031-1071

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Diffraction of compatible random substitutions in one dimension


Authors: Michael Baake, Timo Spindeler, Nicolae Strungaru Projects: A6
Submission Date: 19.12.2017 Submitter: Sebastian Herr
Download: PDF Link: 17042
Published: Indagationes Mathematicae 29 (2018), 1031-1071

17041 Philipp Gohlke, Dan Rust, Timo Spindeler PDF

Shifts of finite type and random substitutions

Project: A6

X

Shifts of finite type and random substitutions


Authors: Philipp Gohlke, Dan Rust, Timo Spindeler Projects: A6
Submission Date: 19.12.2017 Submitter: Michael Baake
Download: PDF Link: 17041



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