Menu
Contact | A-Z
img

Project A6.1: Random versus deterministic dynamical systems with aperiodic long-range order


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

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:

21097 Timo Spindeler, Nicolae Strungaru PDF

Tempered distributions with translation bounded measures as Fourier transform and the generalized Eberlein decomposition

Project: A6

Published: Mathematische Nachrichten 297 (2024), 716–740

X

Tempered distributions with translation bounded measures as Fourier transform and the generalized Eberlein decomposition


Authors: Timo Spindeler, Nicolae Strungaru Projects: A6
Submission Date: 10.02.2023 Submitter: Michael Baake
Download: PDF Link: 21097
Published: Mathematische Nachrichten 297 (2024), 716–740

21053 Giovanni B. Escolano, Chrizaldy Neil Manibo, Eden Delight P. Miro PDF

Mixing properties and entropy bounds of a family of Pisot random substitutions

Project: A6

Published: Indagationes Mathematicae 33 (2022), 965–991

X

Mixing properties and entropy bounds of a family of Pisot random substitutions


Authors: Giovanni B. Escolano, Chrizaldy Neil Manibo, Eden Delight P. Miro Projects: A6
Submission Date: 30.08.2021 Submitter: Michael Baake
Download: PDF Link: 21053
Published: Indagationes Mathematicae 33 (2022), 965–991

21033 Michael Baake, Timo Spindeler, Nicolae Strungaru PDF

On eigenmeasures under Fourier transform

Project: A6

Published: Journal of Fourier Analysis and Applications 29, no. 65 (2023), 1–33

X

On eigenmeasures under Fourier transform


Authors: Michael Baake, Timo Spindeler, Nicolae Strungaru Projects: A6
Submission Date: 16.04.2021 Submitter: Sebastian Herr
Download: PDF Link: 21033
Published: Journal of Fourier Analysis and Applications 29, no. 65 (2023), 1–33

21023 Álvaro Bustos, Daniel Luz, Chrizaldy Neil Manibo PDF

Admissible reversing and extended symmetries for bijective substitutions

Project: A6

Published: Discrete & Computational Geometry 69 (2023), 800-833

X

Admissible reversing and extended symmetries for bijective substitutions


Authors: Álvaro Bustos, Daniel Luz, Chrizaldy Neil Manibo Projects: A6
Submission Date: 27.01.2021 Submitter: Michael Baake
Download: PDF Link: 21023
Published: Discrete & Computational Geometry 69 (2023), 800-833

20137 Jon Chaika, David Damanik, Jake Fillman, Philipp Gohlke PDF

Zero measure spectrum for multi-frequency Schrödinger operators

Project: A6

Published: Journal of Spectral Theory 12 (2022), 573–590

X

Zero measure spectrum for multi-frequency Schrödinger operators


Authors: Jon Chaika, David Damanik, Jake Fillman, Philipp Gohlke Projects: A6
Submission Date: 22.01.2021 Submitter: Michael Baake
Download: PDF Link: 20137
Published: Journal of Spectral Theory 12 (2022), 573–590

20134 Nicolas Bédaride, Franz Gähler, Ana G. Lecuona PDF

Cohomology groups for spaces of 12-fold tilings

Project: A6

Published: International Mathematics Research Notices 2022 (2022), 14181–14254

X

Cohomology groups for spaces of 12-fold tilings


Authors: Nicolas Bédaride, Franz Gähler, Ana G. Lecuona Projects: A6
Submission Date: 14.01.2021 Submitter: Michael Baake
Download: PDF Link: 20134
Published: International Mathematics Research Notices 2022 (2022), 14181–14254

20108 Michael Coons, James Evans, Chrizaldy Neil Manibo PDF

Spectral theory of regular sequences

Project: A6

Published: Documenta Mathematica 27 (2022), 629-653

X

Spectral theory of regular sequences


Authors: Michael Coons, James Evans, Chrizaldy Neil Manibo Projects: A6
Submission Date: 27.11.2020 Submitter: Michael Baake
Download: PDF Link: 20108
Published: Documenta Mathematica 27 (2022), 629-653

20106 Wolf-Jürgen Beyn, Thorsten Hüls PDF

Angular values of nonautonomous linear dynamical systems II -- Reduction theory and algorithm

Project: A6, B3

Published: SIAM Journal on Applied Dynamical Systems 22 (2023), 161–195

X

Angular values of nonautonomous linear dynamical systems II -- Reduction theory and algorithm


Authors: Wolf-Jürgen Beyn, Thorsten Hüls Projects: A6, B3
Submission Date: 05.11.2020 Submitter: L’ubomír Baňas
Download: PDF Link: 20106
Published: SIAM Journal on Applied Dynamical Systems 22 (2023), 161–195

20105 Wolf-Jürgen Beyn, Gary Froyland, Thorsten Hüls PDF

Angular values of nonautonomous and random linear dynamical systems I: fundamentals

Project: A6, B3

Published: SIAM Journal on Applied Dynamical Systems 21 (2022), 1245–1286

X

Angular values of nonautonomous and random linear dynamical systems I: fundamentals


Authors: Wolf-Jürgen Beyn, Gary Froyland, Thorsten Hüls Projects: A6, B3
Submission Date: 05.11.2020 Submitter: L’ubomír Baňas
Download: PDF Link: 20105
Published: SIAM Journal on Applied Dynamical Systems 21 (2022), 1245–1286

20081 Michael Baake, Jeremy Sumner PDF

On equal-input and monotone Markov matrices

Project: A6

Published: J. Appl. Probab. 54 (2022), 460--492

X

On equal-input and monotone Markov matrices


Authors: Michael Baake, Jeremy Sumner Projects: A6
Submission Date: 24.07.2020 Submitter: Sebastian Herr
Download: PDF Link: 20081
Published: J. Appl. Probab. 54 (2022), 460--492


All Publications of this Project


Back
© 2017–Present Sonderforschungbereich 1283 | Imprint | Privacy Policy