Ongoing Projects
 Book Chapter: Renormalisation for Inflation Tilings in Aperiodic Order Volume 3: Model Sets and Dynamical Systems
(with Michael Baake and Uwe Grimm)  Substitutions on Infinite Alphabets
(with Dan Rust and Jamie Walton)  Diffraction of Random Substitutions
(with Philipp Gohlke and Dan Rust)  Extended Symmetries of Substitution Subshifts
(with Álvaro Bustos and Daniel Luz)  Spectral Theory of Regular Sequences
(with Michael Coons and James Evans )  Arithmetic Progressions in Automatic Sequences
(with Ibai Aedo, Uwe Grimm, Yasushi Nagai and Petra Staynova)  Transcendence and Bounded Distance Equivalence for Substitutions
(with Dirk Frettloeh and Alexey Garber)  Spectrum of Sadic shifts
(with Álvaro Bustos and Reem Yassawi)
Preprints and Publications
Preprints
 Monochromatic Arithmetic Progressions in Automatic Sequences with Group Structure (2023)
I. Aedo, U. Grimm, N. Mañibo, Y. Nagai, P. Staynova
arXiv  Catalan Numbers as Discrepancies for a Family of Substitutions on Infinite Alphabets (2022)
D. Frettlöh, A. Garber, N. Mañibo
arXiv  Torsionfree Sadic Shifts and their Spectrum (2022)
Á. Bustos, N. Mañibo, R. Yassawi
arXiv  Substitution Tilings with Transcendental Inflation Factor (2022)
D. Frettlöh, A. Garber, N. Mañibo
arXiv  Substitutions on Compact Alphabets (2022)
N. Mañibo, D. Rust, J.J. Walton
arXiv  Spectral Properties of Substitutions on Compact Alphabets (2021)
N. Mañibo, D. Rust, J.J. Walton
arXiv
PeerReviewed
 Zaremba, Salem, and the fractal nature of ghost distributions
M. Coons, J. Evans, Z. Groth, N. Mañibo
Bull. Austral. Math. Soc. 2022
arXiv DOI  Spectral Theory of Spin Substitutions
N.P. Frank, N. Mañibo
Discrete Contin. Dynam. Syst. (42) 2022 53995435
arXiv DOI  Mixing Properties and Entropy Bounds of a Family of Pisot Random Substitutions
G.B. Escolano, N. Mañibo, E. Miro
Indag. Math. (33) 2022 965991
arXiv DOI  Admissible Reversing and Extended Symmetries for Bijective Substitutions
Á. Bustos, D. Luz, N. Mañibo
Discrete Comput. Geom., 2022
arXiv DOI  Spectral Theory of Regular Sequences
M. Coons, J. Evans, N. Mañibo
Doc. Math. (27) 629653, 2022
arXiv DOI  Zeckendorf Representations and Mixing Properties of Sequences
N. Mañibo, E. Miro, D. Rust, G. Tadeo
Tsukuba. J. Math. (44) 251269, 2020
arXiv DOI  Binary ConstantLength Substitutions and Mahler Measures of Borwein Polynomials
M. Baake, M. Coons, N. Mañibo
in From Analysis to Visualization, Bailey D. et.al. (eds.), JBCC 2017, Springer Proceedings in Mathematics and Statistics (313) 2020, pp.303322
arXiv DOI  Renormalisation of Pair Correlation Measures for Primitive Inflation Rules
and Absence of Absolutely Continuous Diffraction
M. Baake, F. Gähler, N. Mañibo
Commun. Math. Phys. (370) 591635, 2019
arXiv DOI  Spectral Analysis of a Family of Binary Inflation Rules
M. Baake, U. Grimm, N. Mañibo
Lett. Math. Phys.(108) 17831805, 2018
arXiv DOI  Lyapunov Exponents for Binary Substitutions of Constant Length
N. Mañibo
J. Math. Phys.(58) 113504, 2017
arXiv DOI
Conference Proceedings
 The Mathematics of Absolutely Continuous Diffraction
N. Mañibo
Acta Cryst. (A77) C306, 2021
25th Congress of the IUCr  Renormalisation for inflation tilings II: Connections to number theory
N. Mañibo
MATRIX Annals (2019)
Aperiodic Order Meets Number Theory  Spectral Analysis of Primitive Inflation Rules
N. Mañibo
Oberwolfach Reports (14) 28302832, 2017
MFO 1740  Poisson and Hopf Structures via Star Product and Convolution
C.N. Mañibo and J. Nable
Proceedings of the Physics Society of the Philippines (32) SPP20143B01, 2014
SPP 32 Preprint SPP 32 Website
Lecture Notes
Lecture series on Lyapunov Exponents: What are Lyapunov Exponents, and why are they interesting?(with David Damanik)
LELecture notes
PhD Thesis
Lyapunov Exponents in the Spectral Theory of Primitive Inflation Systems (2019)PhD Thesis
Awards and Grants
DAAD Postdoctoral Researchers International Mobility Experience (PRIME) Grant 20202021for an 18month 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
Curriculum Vitae
CV (updated 22 Dec 2022)Conferences and Seminars
Conferences

Invited Talk: Spectral Theory of Aperiodic Tilings
Foliated spaces, Tilings and Group actions 2022
December 1718, 2022, (hybrid) Ritsumeikan University, Kyoto, Japan 
Invited Talk: Substitution Tilings with Transcendental Inflation Factor
Almost Periodicity in Aperiodic Order
September 911, 2022, Banff International Research Station, Banff, Canada 
Contributed Talk: Measures Arising from Regular Sequences
Workshop on Affine and Overlapping Iterated Function Systems
May 1012, 2022, University of Bristol, Bristol, UK 
Invited Talk: Spectral Theory of Spin Substitutions
The pursuit of symmetry: A conference in honour of the 80th birthday of Robert V. Moody
Youtube Recording Link
April 2529, 2022, Fields Institute, Toronto, Canada 
Contributed Talk: Unique Ergodicity for Substitutions on Compact Alphabets
9th Miniworkshop on Operator Theoretic Aspects of Ergodic Theory
February 1719, 2022, (hybrid), Wuppertal, Germany  Invited Talk: The Mathematics of Absolutely Continuous Diffraction
25th Congress of the International Union of Crystallography: Microsymposium 44
August 1422, 2021, (hybrid), Prague, Czechia  Contributed Talk: Reversing and Extended Symmetry Groups of Bijective Substitution Subshifts
Algebraic and Combinatorial Invariants of Subshifts and Tilings
January 1115, 2021, (hybrid), CIRM, Marseilles, France  Contributed Talk: Oseledec's Theorem and Lehmer's Conjecture
8th Miniworkshop on Operator Aspects of Ergodic Theory
May 34,2019, Universität Leipzig, Germany  Invited Talk: Renormalisation for Inflation Tilings II: Connections to Number Theory
Aperiodic Order Meets Number Theory
February 25March 1, 2019, MATRIX, University of MelbourneCreswick Campus, Victoria, Australia  Contributed Talk: Matrix Cocyles with Ergodic Base Dynamics and Furstenberg's Formula
Model Sets and Aperiodic Order
September 37, 2018, Durham University, UK 
Invited Talk: Diffraction and Mahler Measures
Dyadisc2: Dynamiques et Analyse Discrète: Workshop on the Spectral Analysis of Subshifts
July 911, 2018, Université de Picardie Jules Verne, Amiens, France 
Invited Talk: Spectral Analysis of Primitive Inflation Rules
Spectral Structures and Topological Methods in Mathematical Quasicrystals
October 17, 2017, Mathematisches Forschungsinstitut Oberwolfach, Germany  Video Talk Contribution (with M. Baake and M. Coons): Constantlength Substitutions and Mahler Measures of Borwein Polynomials
Jonathan M. Borwein Commemorative Conference
September 2529, 2017, Noah's on the Beach, Newcastle, NSW, Australia  Participant
Workshop on Aperiodic Order
May 2428, 2017, Universität Bielefeld, Germany 
Contributed Talk: Lyapunov Exponents and Absence of Absolutely Continuous Diffraction
Workshop on Topology in Dynamics
April 37, 2017, University of Leicester, UK 
Poster Contribution: Lyapunov Exponents for Binary ConstantLength Substitutions
Workshop on Mathematical Physics and Dynamical Systems
March 2022, 2017, TU Dortmund, Germany  Contributed Talk: Geometric Structures arising from Representations of Finite Groups
Mathematics Society of the Philippines Annual Convention
May 2015, Paoay, Ilocos Norte, Philippines  Invited Talk: Poisson and Hopf Structures via Star Product and Convolution
32nd Physics Congress, Physics Society of the Philippines
October 2014, University of the Philippines Diliman, Quezon City, Philippines
Seminars
 Invited Talk: Diffraction and Aperiodic Order
Seminario Tartaglia
November 24, 2022, (online) Universidad Autónoma de San Luis Potosí, Mexico  Invited Talk: Continuous Spectrum in Aperiodic Order
Summer School on Aperiodic Order
September 69, 2022, MacEwan University, Edmonton, Canada  Invited Talk: Diffraction and Aperiodic Order
Mathematics and Statistics Seminar
September 1, 2022, Vassar College, New York, USA  Invited Talk: Measures arising from Regular Sequences: Existence, Ergodicity, and Spectral Classification
Topology and Dynamics Seminar
May 5, 2022, University of Birmingham, UK  Invited Talk: Quasicompact Operators and Uniquely Ergodic Dynamical Systems
Mathematical Physics Colloquium, Faculty of Physics, Bielefeld University
February 4,2022, online  Invited Talk: On Measures arising from Regular Sequences
The Open University Dynamical Systems Seminar
September 30,2020, online  Invited Talk: Renormalisation in Spectral Theory: Lyapunov Exponents
Informal summer school on substitutions and aperiodic order
August 1213,2020, online  Lecture Series: What are Lyapunov exponents, and why are they interesting? (with David Damanik)
CRC Block Course
July 1924,2019, Universität Bielefeld, Germany  Invited Talk: Diffraction Theory of Aperiodic Tilings
CARMA Seminar
March 7,2019, University of Newcastle, NSW, Australia  Invited Talk: Diffraction, Lyapunov Exponents, and Mahler Measures
Special Talk
October 12, 2018, Ateneo de Manila University, Quezon City, Philippines  Invited Talk: Hadamard and DFT Matrices, and Substitution Systems with Absolutely Continuous Spectrum
School of Mathematics and Statistics Applied Mathematics Colloquium
August 30, 2018, The Open University, Milton Keynes, UK  Contributed Talk: Mahler measures, the Lehmer Conjecture, and its consequences
Seminar of Young Mathematicians in Bielefeld (open lectures) (SYMBol)
June 12, 2018, Universität Bielefeld, Germany
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, JulyAugust 2015