Preprint Search

Spectral analysis of a family of binary inflation rules

Project: A6

Published: Letters in Mathematical Physics 108 (2018), 1783–1805

Dynamical systems arising from random substitutions

Project: A6

Published: Indagationes Mathematicae 29 (2018), 1131–1155

Binary constant-length substitutions and Mahler measures of Borwein polynomials

Project: A6

Published: From Analysis to Visualization, eds. D. H. Bailey et al., Springer, Cham (2020), 303–322.

Shifts of finite type and random substitutions

Project: A6

Published: Discrete and Continuous Dynamical Systems 39, no. 9 (2019), 5085--5103

Diffraction of compatible random substitutions in one dimension

Project: A6

Published: Indagationes Mathematicae 29, no. 4 (2018), 1031–1071

Periodic points in random substitution subshifts

Project: A6

Published: Monatshefte für Mathematik 193 (2020), 683–704

Ergodic frequency measures for random substitutions

Project: A6

Published: Studia Math. 255, no. 3 (2020), 265–301

Scaling properties of the Thue–Morse measure

Project: A6

Published: Discrete and Continuous Dynamical Systems A 39, no. 7 (2019), 4157–4185

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

Project: A6

Published: Communications in Mathematical Physics 370 (2019), 591–635

Scaling of diffraction intensities near the origin: Some rigorous results

Project: A6

Published: Journal of Statistical Mechanics: Theory and Experiment 2019 (2019), 054003: 1–25

A modification of Wythoff's Nim

Project: A6

Renormalisation of pair correlations and their Fourier transforms for primitive block substitutions

Project: A6

Published: Substitution and Tiling Dynamics: Introduction to Self-inducing Structures (2020), 359–395

Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings

Project: A6

Published: Documenta Mathematica 25 (2020), 2303--2337

Three variations on a theme by Fibonacci

Project: A6

Published: Stochastics and Dynamics 168 (2021), 2140001: 1–23

Territorial behaviour of buzzards versus random matrix spacing distributions

Project: A6, C6

Published: Journal of Theoretical Biology 509 (2021), 110475: 1–7

Inflation versus projection sets: The role of the window in averaging and diffraction

Project: A6

Published: Acta Crystallographica A 76 (2020), 559–570

Zeckendorf representations and mixing properties of sequences

Project: A6

Published: Tsukuba J. Math. 44, no. 2 (2020), 251–269

Computations for Symbolic Substitutions

Project: A6

Published: Journal of Integer Sequences 20 (2017), 17.4.1: 1–36

Inflation word entropy for semi-compatible random substitutions

Project: A6

Published: Monatshefte für Mathematik 192 (2020), 93–110

Spectral properties of Schrödinger operators associated to almost minimal substitution systems

Project: A6

Published: Annales Henri Poincaré (2020)

Notes: DOI:10.1007/s00023-020-00975-5

Pure point measures with sparse support and sparse Fourier-Bohr support

Project: A6

Published: Trans. London Math. Soc. 7, no. 1 (2020), 1–32

Diffraction of a model set with complex windows

Project: A6

Published: Journal of Physics: Conference Series 1458 (2020), 012006: 1–6

Eberlein decomposition for PV inflation systems

Project: A6

Published: Letters in Mathematical Physics 111, no. 59 (2021)

On a family of singular continuous measures related to the doubling map

Project: A6

Published: Indagationes Mathematicae 32 (2021), 847–860

On equal-input and monotone Markov matrices

Project: A6

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

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

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

Spectral theory of regular sequences

Project: A6

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

Cohomology groups for spaces of 12-fold tilings

Project: A6

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

Zero measure spectrum for multi-frequency Schrödinger operators

Project: A6

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

Admissible reversing and extended symmetries for bijective substitutions

Project: A6

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

On eigenmeasures under Fourier transform

Project: A6

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

Spectral theory of spin substitutions

Project: A6

Published: Discrete and Continuous Dynamical Systems 42 (2022), 5399–5435

Zaremba, Salem, and the fractal nature of ghost distributions

Project: A6

Published: Bulletin of the Australian Mathematical Society 107 (2023), 374–389

Spectral properties of substitutions on compact alphabets

Project: A6

Published: Bulletin of the London Mathematical Society 55 (2023), 2425–2445

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

Project: A6

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

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

Project: A6

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

Semi-measures and their Fourier transform

Project: A6

A note on tempered measures

Project: A6

Published: Colloquium Mathematicum 172 (2023), 15—30

Fibonacci direct product variation tilings

Project: A6

Published: Journal of Mathematical Physics 63 (2022), Article number 082702

Correlations of the Thue--Morse sequence

Project: A6

Published: Indagationes Mathematicae 35 (2024), 914–930

What is Pattern?

Project: A6

Published: Snapshots of Modern Mathematics from Oberwolfach (2022), article number 09

Abstract almost periodicity for group actions on uniform topological spaces

Project: A6

Published: Canadian Journal of Mathematics. Journal Canadien de Mathématiques 76 (2024), 798–829

The twisted Eberlein convolution of measures

Project: A6

Correlation functions of the Rudin-Shapiro sequence

Project: A6

Published: Koninklijke Nederlandse Akademie van Wetenschappen. Indagationes Mathematicae. New Series 35 (2024), 771–795

On the smoothness of principal angles between subspaces and their application to angular values of dynamical systems

Project: A6, B3

Published: Dynamical systems -- An International Journal 39, no. 3 (2024), 461–499

Patch frequencies in rhombic Penrose tilings

Project: A6

Published: Acta Crystallographica Section A: Foundations and Advances 79 (2023), 399–411

Notes: http://doi.org/10.1107/S2053273323004990

Embedding of Markov matrices for $d \leq 4$

Project: A6

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

On the Fibonacci tiling and its modern ramifications

Project: A6

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

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

Project: A6

Spectral theory of regular sequences: parametrisation and spectral characterisation

Project: A6

Substitutions and their generalisations

Project: A6

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

Angular spectra of linear dynamical systems in discrete time

Project: B3, A6

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

Project: A6

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

A multiple coupon collection process and its Markov embedding structure

Project: A6, C1

An alternative recursive approach to functions of simple triangular matrices

Project: A6, C1

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

Project: A6