Preprints and Publications
Preprints
  1. Spectral Theory of Regular Sequences: Parametrisation and Spectral Characterisation (2023)
    M. Coons, J. Evans, P. Gohlke, N. Mañibo
    arXiv

Peer-Reviewed
  1. Substitutions on Compact Alphabets
    N. Mañibo, D. Rust, J.J. Walton
    Journal of the London Mathematical Society (111) e70123, 2025
    arXiv DOI
  2. Substitutions and their Generalisations (2023)
    N. Mañibo
    Israel Journal of Chemistry (64) e202300159, 2024 (15 pp.)
    arXiv DOI
  3. Substitution Tilings with Transcendental Inflation Factor
    D. Frettlöh, A. Garber, N. Mañibo
    Discrete Analysis 11:2024, (24 pp.)
    arXiv DOI
  4. On the Full Centraliser of Erdős B-free Shifts
    M. Baake, N. Mañibo
    Colloquium Mathematicum (176) 121-134, 2024
    arXiv DOI
  5. Monochromatic Arithmetic Progressions in Automatic Sequences with Group Structure
    I. Aedo, U. Grimm, N. Mañibo, Y. Nagai, P. Staynova
    Journal of Combinatorial Theory Series A (203) 105831, 2024 (35 pp.)
    arXiv DOI
  6. Torsion-free S-adic Shifts and their Spectrum
    Á. Bustos, N. Mañibo, R. Yassawi
    Studia Mathematica (272) 159-198, 2023
    arXiv DOI
  7. Catalan Numbers as Discrepancies for a Family of Substitutions on Infinite Alphabets
    D. Frettlöh, A. Garber, N. Mañibo
    Indagationes Mathematicae 2023
    arXiv DOI
  8. Spectral Properties of Substitutions on Compact Alphabets
    N. Mañibo, D. Rust, J.J. Walton
    Bulletin of the London Mathematical Society (55) 2425-2445, 2023
    arXiv DOI
  9. Zaremba, Salem, and the fractal nature of ghost distributions
    M. Coons, J. Evans, Z. Groth, N. Mañibo
    Bulletin of the Australian Mathematical Society (107) 374-389, 2023
    arXiv DOI
  10. Admissible Reversing and Extended Symmetries for Bijective Substitutions
    Á. Bustos, D. Luz, N. Mañibo
    Discrete and Computational Geometry (69) 800-833, 2023
    arXiv DOI
  11. Spectral Theory of Spin Substitutions
    N.P. Frank, N. Mañibo
    Discrete and Continuous Dynamical Systems (42) 5399-5435, 2022
    arXiv DOI
  12. Mixing Properties and Entropy Bounds of a Family of Pisot Random Substitutions
    G.B. Escolano, N. Mañibo, E. Miro
    Indagationes Mathematicae (33) 965-991, 2022
    arXiv DOI
  13. Spectral Theory of Regular Sequences
    M. Coons, J. Evans, N. Mañibo
    Documenta Mathematica (27) 629-653, 2022
    arXiv DOI
  14. Zeckendorf Representations and Mixing Properties of Sequences
    N. Mañibo, E. Miro, D. Rust, G. Tadeo
    Tsukuba Journal of Mathematics (44) 251-269, 2020
    arXiv DOI
  15. Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials
    M. Baake, M. Coons, N. Mañibo
    in From Analysis to Visualization , Bailey D. et.al. (eds.), Springer, Cham, 2020, pp.303-322
    arXiv DOI
  16. Renormalisation of Pair Correlation Measures for Primitive Inflation Rules
    and Absence of Absolutely Continuous Diffraction
    M. Baake, F. Gähler, N. Mañibo
    Communications in Mathematical Physics (370) 591-635, 2019
    arXiv DOI
  17. Spectral Analysis of a Family of Binary Inflation Rules
    M. Baake, U. Grimm, N. Mañibo
    Letters in Mathematical Physics (108) 1783-1805, 2018
    arXiv DOI
  18. Lyapunov Exponents for Binary Substitutions of Constant Length
    N. Mañibo
    Journal of Mathematical Physics (58) 113504, 2017
    arXiv DOI

Conference Proceedings
  1. Substitutions on Compact Alphabets
    N. Mañibo
    Oberwolfach Reports (20) 2146-2149, 2023
    MFO 2335
  2. The Mathematics of Absolutely Continuous Diffraction
    N. Mañibo
    Acta Cryst. (A77) C306, 2021
    25th Congress of the IUCr
  3. Renormalisation for inflation tilings II: Connections to number theory
    N. Mañibo
    MATRIX Annals (2019)
    Aperiodic Order Meets Number Theory
  4. Spectral Analysis of Primitive Inflation Rules
    N. Mañibo
    Oberwolfach Reports (14) 2830-2832, 2017
    MFO 1740
  5. Poisson and Hopf Structures via Star Product and Convolution
    C.N. Mañibo and J. Nable
    Proceedings of the Physics Society of the Philippines (32) SPP2014-3B-01, 2014
    SPP 32 Preprint SPP 32 Website

PhD Thesis
Lyapunov Exponents in the Spectral Theory of Primitive Inflation Systems (2019)
PhD Thesis


Awards and Grants
Postdoctoral Visiting Program Fellow, Center for Mathematical Modeling (CMM), University of Chile, Santiago, Chile (2023)

DAAD Postdoctoral Researchers International Mobility Experience (PRIME) Grant 2020-2021
for an 18-month fellowship at the Open University (Milton Keynes, UK) and Universität Bielefeld

Dissertationspreis for the Best PhD Thesis in the Faculty of Mathematics in 2019
Universitätsgesellschaft Bielefeld (UGBI), January 2020, Universität Bielefeld

First Prize, Award for Outstanding Graduate Research for the Masters' thesis entitled:
Geometric Structures arising from Representations of Finite Groups: Quantization of L2(G), 2015
School of Science and Engineering, Ateneo de Manila University, Quezon City, Philippines

Conferences and Seminars
Conferences
Seminars

Research Visits
  • Vassar College
    Poughkeepsie, NY, USA, September 2022

  • University of Newcastle
    NSW, Australia, March 2019

  • The Open University
    Milton Keynes, UK, August 2018

  • The Open University
    Milton Keynes, UK, September 2017

  • Universität Bielefeld
    Bielefeld, Germany, July-August 2015