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Project A1: Spectral theory of aperiodic order



Summary:

Systems with long-range deterministic or stochastic order are investigated, with methods from mathematical diffraction and dynamical systems theory. Special attention is paid to the corresponding inverse problem of structure determination from the diffraction measure.



Recent Preprints:

17026 Michael Baake, Peter Zeiner PDF

Geometric Enumeration Problems for Lattices and Embedded Z-Modules

Project: A1

Published: M. Baake, U. Grimm (eds.), Aperiodic Order Volume 2: Crystallography and Almost Periodicity, Cambridge University Press 2 (2017), 73-172

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Geometric Enumeration Problems for Lattices and Embedded Z-Modules


Authors: Michael Baake, Peter Zeiner Projects: A1
Submission Date: 2017-06-30 Submitter: Franz Gähler
Download: PDF Link: 17026
Published: M. Baake, U. Grimm (eds.), Aperiodic Order Volume 2: Crystallography and Almost Periodicity, Cambridge University Press 2 (2017), 73-172

17025 Christian Huck PDF

On the logarithmic probability that a random integral ideal is $\mathscr A$-free

Project: A1

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On the logarithmic probability that a random integral ideal is $\mathscr A$-free


Authors: Christian Huck Projects: A1
Submission Date: 2017-06-30 Submitter: Franz Gähler
Download: PDF Link: 17025

17024 Chrizaldy Neil C. Manibo PDF

Lyapunov exponents for binary substitutions of constant length

Project: A1, B2

Published: J. Math. Phys. 58 (2017), 9pp

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Lyapunov exponents for binary substitutions of constant length


Authors: Chrizaldy Neil C. Manibo Projects: A1, B2
Submission Date: 2017-06-30 Submitter: Michael Baake
Download: PDF Link: 17024
Published: J. Math. Phys. 58 (2017), 9pp

16060 Michael Baake, David Damanik, Uwe Grimm PDF

What is Aperiodic Order?

Project: A1, B2

Published: Notices AMS 63 (2016), 647-650

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What is Aperiodic Order?


Authors: Michael Baake, David Damanik, Uwe Grimm Projects: A1, B2
Submission Date: 2018-01-23 Submitter: Franz Gähler
Download: PDF Link: 16060
Published: Notices AMS 63 (2016), 647-650

16055 Michael Baake, Daniel Lenz PDF

Spectral notions of aperiodic order

Project: A1

Published: Discr. Cont. Dynam. Syst. S 10 (2017), 161-190

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Spectral notions of aperiodic order


Authors: Michael Baake, Daniel Lenz Projects: A1
Submission Date: 2017-03-31 Submitter: Christian Huck
Download: PDF Link: 16055
Published: Discr. Cont. Dynam. Syst. S 10 (2017), 161-190

16024 Michael Baake, Christian Huck, Nicolae Strungaru PDF

On weak model sets of extremal density

Project: A1

Published: Indagationes Math. 28 (2016), 3-31

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On weak model sets of extremal density


Authors: Michael Baake, Christian Huck, Nicolae Strungaru Projects: A1
Submission Date: 2016-08-01 Submitter: Franz Gähler
Download: PDF Link: 16024
Published: Indagationes Math. 28 (2016), 3-31

16009 Nicolae Strungaru, Venta Terauds PDF

Diffraction theory and almost periodic distributions

Project: A1

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Diffraction theory and almost periodic distributions


Authors: Nicolae Strungaru, Venta Terauds Projects: A1
Submission Date: 2016-03-16 Submitter: Michael Baake
Download: PDF Link: 16009

15114 Manuel Joseph Loquias, Peter Zeiner PDF

Coincidence indices of sublattices and coincidences of colorings

Project: A1

Published: Z. Krist. 230 (2015), 749-759

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Coincidence indices of sublattices and coincidences of colorings


Authors: Manuel Joseph Loquias, Peter Zeiner Projects: A1
Submission Date: 2018-01-24 Submitter: Michael Baake
Download: PDF Link: 15114
Published: Z. Krist. 230 (2015), 749-759

15079 Christian Huck, Christoph Richard PDF

On Pattern Entropy of Weak Model Sets

Project: A1

Published: Discrete Comput. Geom., no. 54 (2015), 741-757

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On Pattern Entropy of Weak Model Sets


Authors: Christian Huck, Christoph Richard Projects: A1
Submission Date: 2015-12-15 Submitter: Franz Gähler
Download: PDF Link: 15079
Published: Discrete Comput. Geom., no. 54 (2015), 741-757

15070 Michael Baake, Tobias Oertel-Jäger, Daniel Lenz PDF

Toeplitz flows and model sets

Project: A1

Published: Bull. London Math. Soc. 48 (2016), 691-698

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Toeplitz flows and model sets


Authors: Michael Baake, Tobias Oertel-Jäger, Daniel Lenz Projects: A1
Submission Date: 2015-12-14 Submitter: Franz Gähler
Download: PDF Link: 15070
Published: Bull. London Math. Soc. 48 (2016), 691-698



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