Uwe Grimm | Academic Influence

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Uwe Grimm

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Computer Science

Uwe Grimm's Degrees

PhD Computer Science University of Oxford

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Why Is Uwe Grimm Influential?

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According to Wikipedia, Uwe Grimm was a German mathematician and physicist. He was one of the pioneers in aperiodic tilings and their dynamical and spectral properties. He also worked in statistical physics and combinatorics.

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Uwe Grimm's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

What is Aperiodic Order (2002) (295)
Aperiodic Order. Vol 1. A Mathematical Invitation (2013) (171)
A mathematical invitation (2013) (95)
Trace and antitrace maps for aperiodic sequences: Extensions and applications (2000) (78)
TRACE MAPS, INVARIANTS, AND SOME OF THEIR APPLICATIONS (1993) (77)
Nutrient store and export rates of Eucalyptus urograndis plantations in eastern Amazonia (Jari) (1996) (59)
The XXZ Heisenberg chain, conformal invariance and the operator content of c < 1 systems (1989) (48)
Energy spectra, wave functions, and quantum diffusion for quasiperiodic systems (1999) (47)
Noncollinear magnetic order in quasicrystals. (2004) (44)
Level-spacing distributions of planar quasiperiodic tight-binding models (1997) (42)
Aperiodic Ising Models (1996) (40)
Bravais colourings of planar modules with N-fold symmetry (2003) (40)
Spectral and topological properties of a family of generalised Thue-Morse sequences (2012) (39)
Geometric properties of a binary non-Pisot inflation and absence of absolutely continuous diffraction (2017) (38)
Squirals and beyond: substitution tilings with singular continuous spectrum (2012) (37)
APERIODIC ISING QUANTUM CHAINS (1997) (36)
Coordination sequences for root lattices and related graphs (1997) (36)
Kinematic diffraction from a mathematical viewpoint (2011) (36)
A radial analogue of Poisson’s summation formula with applications to powder diffraction and pinwheel patterns (2006) (33)
Mathematical diffraction of aperiodic structures. (2012) (33)
Kinematic diffraction is insufficient to distinguish order from disorder (2009) (33)
A Note on Shelling (2002) (31)
Prospective malaria control using entomopathogenic fungi: comparative evaluation of impact on transmission and selection for resistance (2012) (31)
Multi-colour braid-monoid algebras (1993) (31)
The singular continuous diffraction measure of the Thue–Morse chain (2008) (31)
Homometric model sets and window covariograms (2006) (31)
Exact eigenstates of tight-binding Hamiltonians on the Penrose tiling (1998) (29)
Coincidence rotations of the root lattice A4 (2007) (29)
The spin-1/2XXZ Heisenberg chain, the quantum algebra Uq[sl(2)], and duality transformations for minimal models (1993) (29)
A critical Ising model on the Labyrinth (1994) (26)
Numerical investigation of electronic wave functions in quasiperiodic lattices (1998) (26)
The quantum Ising chain with a generalized defect (1990) (26)
Aperiodic crystals and beyond. (2014) (25)
Partition function zeros for aperiodic systems (1993) (25)
Spectral analysis of a family of binary inflation rules (2017) (25)
The modified XXZ Heisenberg chain, conformal invariance and the surface exponents of c<1 systems (1989) (24)
Combinatorial problems of (quasi-)crystallography (2002) (24)
Solvable RSOS models based on the dilute BWM algebra (1994) (22)
Improved bounds on the number of ternary square-free words (2001) (22)
Multiple planar coincidences with N-fold symmetry (2005) (22)
On the Entropy and Letter Frequencies of Ternary Square-Free Words (2003) (21)
Dilute Birman-Wenzl-Murakami algebra and Dn+1(2) models (1994) (21)
Fourier Transform of Rauzy Fractals and Point Spectrum of 1D Pisot Inflation Tilings (2019) (20)
Fusion of dilute AL lattice models (1995) (20)
Interplay between magnetic and spatial order in quasicrystals (2005) (20)
Dilute Algebras and Solvable Lattice Models (1995) (19)
Examples of substitution systems and their factors (2012) (19)
Scaling limit of the Ising model in a field (1996) (18)
Spectrum of a Rudin-Shapiro-like sequence (2016) (18)
TrigonometricR matrices related to ‘dilute’ Birman-Wenzl-Murakami algebra (1994) (18)
Aperiodic Order: Preliminaries (2013) (18)
Wave packet dynamics, ergodicity, and localization in quasiperiodic chains (2009) (18)
A supersymmetric Uq[osp(2|2)]-extended Hubbard model with boundary fields (2001) (18)
How will public and animal health interventions drive life-history evolution in parasitic nematodes? (2008) (17)
Homometric point sets and inverse problems (2008) (17)
Aperiodic tilings on the computer (1999) (17)
LETTER TO THE EDITOR: Spectrum of a duality-twisted Ising quantum chain (2001) (17)
A maximum principle for the mutation-selection equilibrium of nucleotide sequences (2003) (16)
Colourings of planar quasicrystals (2001) (16)
The entropy of square-free words (1997) (16)
Two interacting particles at a metal-insulator transition (1998) (15)
Pinwheel patterns and powder diffraction (2006) (14)
A study of the self-absorption effect in the fluorescence yield of NiO at the oxygen K-edge (1992) (14)
Three variations on a theme by Fibonacci (2019) (13)
High-temperature expansion for Ising models on quasiperiodic tilings (1999) (13)
Nonperiodic ising quantum chains and conformal invariance (1994) (13)
Hexagonal Inflation Tilings and Planar Monotiles (2012) (13)
Diffraction of limit periodic point sets (2010) (13)
Application of random matrix theory to quasiperiodic systems (1998) (12)
A guide to quasicrystal literature (2000) (12)
Universal level-spacing statistics in quasiperiodic tight-binding models (1999) (12)
Coordination Sequences and Critical Points (1998) (12)
Surprises in aperiodic diffraction (2009) (12)
The bubble algebra: structure of a two-colour Temperley–Lieb Algebra (2003) (12)
Financing SMEs: a model for optimising the capital structure (2010) (12)
Integrable impurities for an open fermion chain (2000) (11)
Electronic states in topologically disordered systems (1998) (11)
Some remarks on the visible points of a lattice (1994) (11)
Scaling of diffraction intensities near the origin: some rigorous results (2019) (11)
Planar quasiperiodic Ising models (1999) (10)
THE MODIFIED XXZ HEISENBERG CHAIN: CONFORMAL INVARIANCE, SURFACE EXPONENTS OF c<1 SYSTEMS AND HIDDEN SYMMETRIES OF FINITE CHAINS (1990) (10)
Duality and conformal twisted boundaries in the Ising model (2002) (10)
Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians (2002) (10)
Aperiodic Order. Volume 2: Crystallography and Almost Periodicity (2017) (9)
Patterns and Tilings (2013) (9)
Substitution-based sequences with absolutely continuous diffraction (2016) (9)
Energy levels of quasiperiodic Hamiltonians, spectral unfolding, and random matrix theory (1998) (9)
Null states of the irreducible representations of the Virasoro algebra and hidden symmetries of the finite XXZ Heisenberg chain: A story about moving and frozen energy levels (1991) (9)
The Debt Structure of SMEs: An Optimization Model (2012) (9)
Surface Properties of Aperiodic Ising Quantum Chains (1997) (9)
Light transmission through metallic-mean quasiperiodic stacks with oblique incidence (2010) (9)
Maximum principle and mutation thresholds for four-letter sequence evolution (2004) (9)
Yang-Baxter algebras based on the two-colour BWM algebra (1995) (9)
Erratum: Kinematic diffraction is insufficient to distinguish order from disorder [Phys. Rev. B79, 020203(R) (2009)] (2009) (9)
Scaling of the Thue-Morse diffraction measure (2013) (9)
Substitution-based structures with absolutely continuous spectrum (2017) (8)
Scaling Properties of the Ising Model in a Field (1995) (8)
Averaged shelling for quasicrystals (1999) (8)
Non-Periodic Systems with Continuous Diffraction Measures (2015) (8)
The forbidden beauty of quasicrystals (2004) (8)
A Comment on the Relation between Diffraction and Entropy (2012) (7)
Perspectives on Solvable Models (1995) (7)
Electronic and Magnetic Properties (2006) (7)
Lax pair formulation for a small‐polaron chain with integrable boundaries (1998) (6)
Ising spins on the Labyrinth (1999) (6)
On the Notions of Symmetry and Aperiodicity for Delone Sets (2012) (6)
Renormalisation of Pair Correlations and Their Fourier Transforms for Primitive Block Substitutions (2019) (6)
UvA-DARE ( Digital Academic Repository ) Fusion of Dilute A _ L Lattice Models (2002) (6)
Modeling Quasicrystal Growth (2002) (6)
Inflation versus projection sets in aperiodic systems: the role of the window in averaging and diffraction (2020) (6)
Incommensurate crystals and quasicrystals (2001) (5)
Diffraction of a model set with complex windows (2019) (5)
Lee-Yang zeros for substitutional systems (1999) (5)
Level‐spacing distributions of the Gaussian unitary random matrix ensemble (2002) (5)
Diffraction of a binary non-Pisot inflation tiling (2017) (5)
Averaged coordination numbers of planar aperiodic tilings (2005) (5)
Aperiodicity and Disorder — Do They Play a Role? (2002) (5)
Some comments on pinwheel tilings and their diffraction (2011) (4)
On the Entropy and Letter Frequencies of Powerfree Words (2008) (4)
Aperiodic Order and Spectral Properties (2015) (4)
Modelling Quasicrystal Growth (1999) (4)
Electrons in Quasicrystals (2011) (4)
Discrete Tomography of Model Sets: Reconstruction and Uniqueness (2017) (3)
Gaussian orthogonal ensemble for quasiperiodic tilings without unfolding: r -value statistics (2021) (3)
COINCIDENCE ROTATIONS OF THE ROOT LATTICE A (3)
A guide to lifting aperiodic structures (2016) (3)
Operator content of the four-state Potts quantum chain with Z3-boundary conditions (1988) (3)
Aperiodicity and Disorder - Does it Matter? (2000) (3)
Surprises in approximating Levenshtein distances. (2006) (3)
Mini-Workshop: Dynamical versus Diffraction Spectra in the Theory of Quasicrystals (2014) (2)
Tilings colourful – only even more so (2004) (2)
MATHEMATICAL DIFFRACTION THEORY OF DETERMINISTIC AND STOCHASTIC STRUCTURES : AN INFORMAL SUMMARY (Mathematics of Quasi-Periodic Order) (2011) (2)
Biochemical cycles in a forest ecosystem in the Western Andes of Venezuela, 1: Inventory of organic and mineral reserves (nitrogen, phosphorus, potassium, calcium, magnesium, manganese, iron, aluminum, nitrate). (1981) (2)
Monochromatic arithmetic progressions in automatic sequences with group structure (2023) (2)
On long arithmetic progressions in binary Morse-like words (2021) (2)
Shelling of Homogeneous Media (2004) (2)
Further Reading: Literature on Quasicrystals (2002) (1)
Can Kinematic Diffraction Distinguish Order from Disorder? (2008) (1)
Multiscaling, Ergodicity and Localization in Quasiperiodic Chains (2004) (1)
Lax pair formulation for a small‐polaron chain with integrable boundaries (1998) (1)
A computational method for determining the linear elastic properties of 2D aperiodic lattice structures (2023) (1)
Highly symmetric aperiodic structures -INVITED (2021) (1)
SysMIC: A Blueprint for Interdisciplinary Online Training in the Life Sciences (2016) (1)
Forward limit sets of semigroups of substitutions (2023) (1)
Recent progress in mathematical diffraction (2013) (1)
Squiral diffraction (2012) (1)
Magnetotransport in Quasilattices (1998) (1)
Partition function zeros of aperiodic Ising models (2001) (1)
Representations of Two-Colour BWM Algebras and Solvable Lattice Models (1996) (1)
Lattices and Crystals (2013) (0)
Perspectives on Solvable Models: Dedicated to Vladimir Rittenberg on the Occasion of His 60th Birthday (1995) (0)
Symbolic Substitutions and Inflations (2013) (0)
The Open University ’ s repository of research publications and other research outputs Freely forming groups : trying to be rare (2010) (0)
Trying to be rare (2005) (0)
Open Research Online Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inﬂation tilings (2022) (0)
Aperiodic Order: Diffraction (2013) (0)
The Open University ’ s repository of research publications and other research outputs Averaged coordination numbers of planar aperiodic tilings (2016) (0)
Prospective malaria control using entomopathogenic fungi: comparative evaluation of impact on transmission and selection for resistance (2012) (0)
Shelling of homogeneous media Journal Item (2016) (0)
Quasicrystalline Combinatorics Michael Baake (2007) (0)
Biogeochemical cycles in a forest ecosystem of the Western Venezuelan Andes, 3: Hydrological cycle and chemical elements transfer with water [soils]. (1981) (0)
Quasicrystals, Electronic Structure of (2005) (0)
University ’ s repository of research publications and other research outputs A guide to lifting aperiodic structures (2018) (0)
Electronic structure of quasicrystals (2005) (0)
Structure and Mathematical Modelling (2006) (0)
kneading machine drive unit for a mixing and / or (1988) (0)
Diffraction of block substitution tilings (2018) (0)
0 61 00 12 v 1 6 O ct 2 00 6 PINWHEEL PATTERNS AND POWDER DIFFRACTION (2021) (0)
Foreword by Jeffrey C. Lagarias (2017) (0)
1 0 N ov 1 99 9 Averaged shelling for quasicrystals (2008) (0)
Inflation versus projection sets: The role of the window in averaging and diffraction (2020) (0)
NPP Tropical Forest: San Eusebio, Venezuela, 1973-1974, R1 (2013) (0)
University ’ s repository of research publications and other research outputs Multiple planar coincidences with N-fold symmetry (2016) (0)
Aperiodic Order: Fourier Analysis and Measures (2013) (0)
Two interacting particles at the metal-insulator (1998) (0)
Dedicated to the memory of (2022) (0)
Scaling of the Thue-Morse Diffraction Measure (Acta Physica Polonica A 125, 431 (2014)), ERRATUM (2016) (0)
Hexagonal inflation tilings and planar monotiles Journal Item (2018) (0)
Theory of Spin and Charge transport in Nanostructures (2015) (0)
Aperiodic Order: The Dynamical Spectrum (2013) (0)
Chapter 2 Squiral Diffraction (2019) (0)
Beyond Model Sets (2013) (0)
The Open University ’ s repository of research publications and other research outputs Homometric model sets and window covariograms (2016) (0)
Surprises in approximating Levenshtein distances Journal Item (2018) (0)
0 . 57 50 v 1 [ m at hph ] 3 1 O ct 2 00 8 Can Kinematic Diffraction Distinguish Order from Disorder ? (2008) (0)
Diffraction from aperiodic crystals: the state of the art (2021) (0)
Open Problems and Conjectures Related to the Theory of Mathematical Quasicrystals (2016) (0)
ZEROS FOR SUBSTITUTIONAL SYSTEMS (2008) (0)
1 Shelling of Homogeneous Media (2016) (0)
There are even more than 2^(n/16) n-letter ternary square-free words (2001) (0)
University ’ s repository of research publications and other research outputs Substitution-based sequences with absolutely continuous diffraction (2017) (0)
Spectrum of a Rudin-Shapiro-like sequence Journal Item (2018) (0)
outputs A guide to lifting aperiodic structures (2017) (0)
Production of dry matter and accumulation of macronutrients in seedlings of Eucalyptus urophylla S.T. Blake in Amazon latosols under different system of managements (1996) (0)
Ju n 20 19 Quasicrystals (2019) (0)
’ s repository of research publications and other research outputs Coincidence rotations of the root lattice A (0)
Coincidence rotations of the root lattice A 4 Journal Item (2020) (0)
University ’ s repository of research publications and other research outputs Homometric point sets and inverse problems (2016) (0)
2 5 O ct 2 00 0 Aperiodicity and Disorder – Does it Matter ? (2000) (0)
Aperiodic Order Meets Number Theory: Origin and Structure of the Field (2021) (0)
Aperiodic Order: The Icosahedral Group (2013) (0)
Arbeitsgemeinschaft: Mathematical Quasicrystals Table of Contents (2016) (0)
The Open University ’ s repository of research publications and other research outputs The singular continuous diffraction measure of the (2016) (0)
Substitution-based structures with absolutely continuous spectrum Journal Item (2019) (0)
Aperiodic Order: Random Structures (2013) (0)
[Results of analyses for the calculation of exposure-time limits in industrial hygiene monitoring of workers in agrochemical centers, exposed to pesticides]. (1981) (0)
Application of random matrix theory toquasiperiodic (1998) (0)
Effects of different management systems on chemical properties of an Amazon basin latosol (1996) (0)
The Open University ’ s repository of research publications and other research outputs Mathematical diffraction of aperiodic structures (2012) (0)
outputs Colourings of planar quasicrystals (2011) (0)
6th International Conference on Aperiodic Crystals (APERIODIC'09) (2010) (0)
Online The Open University ’ s repository of research publications and other research outputs Surprises in approximating Levenshtein distances (2016) (0)
Mechanical Characterisation of Novel Aperiodic Lattice Structures (2023) (0)
M G ] 2 3 Ju l 1 99 9 Averaged shelling for quasicrystals (2008) (0)
Improvements to a Roadside Remote Emission Measurement System (1999) (0)
University ’ s repository of research publications and other research outputs A Note on shelling (2016) (0)
TilingsColourful — OnlyEvenMoreSo (2016) (0)
Freely forming groups: trying to be rare (2005) (0)
Spectral analysis of a family of binary inflation rules (2018) (0)
Projection Method and Model Sets (2009) (0)
Mixing device for mixing pulverulent and / or granular particles with a liquid (1996) (0)
’ s repository of research publications and other research outputs Coincidence rotations of the root lattice A ¡ sub ¿ 4 (2007) (0)
A ug 1 99 8 Two interacting particles at the metal-insulator transition (1999) (0)
The Open University ’ s repository of research publications and other research outputs Pinwheel patterns and powder diffraction (2010) (0)
outputs Surprises in approximating Levenshtein distances (2010) (0)
The Story Continues... Systems with Continuous Diffraction (2009) (0)
Electronic states in topologically disordered systems (1998) (0)
Mixing device with an integrated pump (2015) (0)

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