Charles Radin
#102,190
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American mathematician and physicist
Charles Radin's AcademicInfluence.com Rankings
Charles Radinmathematics Degrees
Mathematics
#6302
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#8754
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#1925
USA Rank
Topology
#52
World Rank
#76
Historical Rank
#22
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Measure Theory
#2891
World Rank
#3437
Historical Rank
#832
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Mathematics Physics
Charles Radin's Degrees
- PhD Mathematics University of California, Berkeley
Why Is Charles Radin Influential?
(Suggest an Edit or Addition)According to Wikipedia, Charles Lewis Radin is an American mathematician, known for his work on aperiodic tilings and in particular for defining the pinwheel tiling and, with John Horton Conway, the quaquaversal tiling. Education and career Radin did his undergraduate studies at City College of New York, graduating in 1965, and then did his graduate studies at the University of Rochester, earning a Ph.D. in 1970 under the supervision of Gérard Emch. Since 1976 he has been on the faculty of the University of Texas at Austin.
Charles Radin'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
- The pinwheel tilings of the plane (1994) (204)
- Space tilings and local isomorphism (1992) (151)
- The ground state for soft disks (1981) (103)
- Miles of tiles (1999) (93)
- The ground state for sticky disks (1980) (85)
- Phase transitions in a complex network (2013) (75)
- Phase transitions in exponential random graphs (2011) (75)
- LOW TEMPERATURE AND THE ORIGIN OF CRYSTALLINE SYMMETRY (1987) (72)
- The infinite-volume ground state of the Lennard-Jones potential (1979) (68)
- Random Close Packing of Granular Matter (2007) (67)
- Space tilings and substitutions (1995) (62)
- Global order from local sources (1991) (61)
- Multipodal Structure and Phase Transitions in Large Constrained Graphs (2014) (60)
- Phase transition in a static granular system (2006) (59)
- Invariant domains for the time-dependent Schrödinger equation☆ (1978) (59)
- Singularities in the Entropy of Asymptotically Large Simple Graphs (2013) (53)
- Quaquaversal tilings and rotations (1998) (49)
- Nucleation in Sheared Granular Matter. (2017) (44)
- A Homeomorphism Invariant for Substitution Tiling Spaces (2000) (43)
- Aubry-Mather theory for functions on lattices (1996) (42)
- Disordered Ground States of Classical Lattice Models (1991) (41)
- Densest Packing of Equal Spheres in Hyperbolic Space (2002) (41)
- The asymptotics of large constrained graphs (2014) (41)
- Shearing of frictional sphere packings (2010) (39)
- Periodicity of classical ground states (1983) (39)
- Approach to equilibrium in a simple model (1970) (33)
- Isomorphism of hierarchical structures (1998) (33)
- Tiling, periodicity, and crystals (1985) (32)
- Permutations with fixed pattern densities (2015) (32)
- Convergence rates of ergodic limits for semigroups and cosine functions (1978) (29)
- On 2-Generator Subgroups of SO(3) (1997) (29)
- On Angles Whose Squared Trigonometric Functions Are Rational (1998) (29)
- Crystals and quasicrystals: A lattice gas model (1986) (29)
- The crystal structure of the noble gases (1981) (28)
- Classical ground states in one dimension (1984) (28)
- Fractal symmetry in an Ising model (1989) (28)
- Conjugacies for Tiling Dynamical Systems (2003) (27)
- Bipodal structure in oversaturated random graphs (2015) (27)
- The symmetry of ground states under perturbation (1979) (27)
- Most stable structure for hard spheres. (2005) (27)
- Are there chaotic tilings? (1993) (26)
- The phases of large networks with edge and triangle constraints (2017) (26)
- Emergent Structures in Large Networks (2011) (25)
- Fluid-solid transition in a hard-core system. (2005) (25)
- Some remarks on the evolution of a Schrödinger particle in an attractive 1/r2 potential (1975) (24)
- Symmetry of tilings of the plane (1993) (23)
- Optimally Dense Packings of Hyperbolic Space (2002) (23)
- The isoperimetric problem for pinwheel tilings (1996) (22)
- Crystals and quasicrystals: A continuum model (1986) (21)
- Symmetries of Quasicrystals (1999) (20)
- Random Loose Packing in Granular Matter (2008) (20)
- Correlations in classical ground states (1986) (20)
- Relaxation of Local Thermal Deviations from Equilibrium (1971) (19)
- The unstable chemical structure of quasicrystalline alloys (1986) (18)
- Aperiodic Tilings, Ergodic Theory, and Rotations (1997) (17)
- The Symmetry of Optimally Dense Packings (2006) (17)
- Subgroups ofSO(3) Associated with Tilings (1996) (17)
- Structure of the hard sphere solid. (2004) (15)
- First order phase transition in a model of quasicrystals (2011) (15)
- Random close packing in a granular model (2009) (15)
- An Algebraic Invariant for Substitution Tiling Systems (1997) (15)
- Orbits of Orbs: Sphere Packing Meets Penrose Tilings (2004) (13)
- The dynamical instability of nonrelativistic many-body systems (1977) (13)
- A symmetry breaking transition in the edge/triangle network model (2016) (12)
- Noncommutative mean ergodic theory (1971) (12)
- Layering in crumpled sheets (2009) (9)
- Symmetry and Tilings (1999) (9)
- Aperiodic tilings in higher dimensions (1995) (9)
- A first-order phase transition between crystal phases in the shift model (1982) (9)
- A Solidification Phenomenon in Random Packings (2005) (9)
- Average boundary conditions in Cauchy problems (1976) (8)
- Phases of Granular Matter (2018) (8)
- Phase Transitions in Finite Random Networks (2020) (7)
- Relations in SO (3 ) Supported by Geodetic Angles (2000) (7)
- Modelling Quasicrystals at Positive Temperature (2009) (7)
- Crystalline symmetry and surface tension (1982) (7)
- Homogeneous Crystallization in Cyclically Sheared Frictionless Grains. (2020) (6)
- Ordering in lattice gases at low temperature (1989) (6)
- Signal propagation in lattice models of quantum many-body systems (1978) (6)
- The characterization of ground states (2009) (6)
- Rigidity in Solids (2011) (6)
- A variational principle for permutations (2015) (6)
- Phases in large combinatorial systems (2016) (6)
- Dilatancy Transition in a Granular Model (2010) (6)
- Sound speed in water-saturated glass beads as a function of frequency and porosity. (2009) (6)
- Surface effects in dense random graphs with sharp edge constraint (2017) (5)
- The Open Mathematics of Crystallization (2017) (5)
- THE THIRD LAW OF THERMODYNAMICS (1987) (5)
- Dynamics of limit models (1973) (5)
- A noncommutative L1-mean ergodic theorem (1976) (5)
- Quasicrystals and geometry: a Book Review (1995) (4)
- Zn versus Z Actions for Systems of Finite Type (1991) (4)
- Pointwise ergodic theory on operator algebras (1978) (4)
- Uniqueness and Symmetry in Problems of Optimally Dense Packings. (2003) (4)
- Particle lattice models and the dynamical instability of many-body systems (1975) (3)
- A Revolutionary Material (2012) (3)
- Ergodicity in von Neumann algebras (1973) (3)
- Mathematics and Materials (2017) (2)
- First order phase transition of a long polymer chain (2010) (2)
- Typical large graphs with given edge and triangle densities (2021) (2)
- Nucleation during phase transitions in random networks (2019) (2)
- MODERATE DEVIATIONS IN TRIANGLE COUNT (2021) (2)
- Automorphism of von Neumann algebras as point transformations (1973) (2)
- Wulff shape for equilibrium phases (2016) (2)
- Ju n 20 06 Phase transition in a static granular system (2007) (1)
- Moderate deviations in cycle count (2021) (1)
- Existence of a symmetric bipodal phase in the edge-triangle model (2022) (1)
- Is random close packing of beads well defined (2009) (1)
- Ergodic Theory of ℤ d Actions: Miles of Tiles (1996) (1)
- de la Llave Existence of Ground State Configurations (1)
- DENSEST PACKING OF EQUAL CIRCLES INTHE HYPERBOLIC (2000) (1)
- ROTATING RATIONALLY by (1997) (1)
- 1 2 Ja n 19 96 SUBGROUPS OF SO ( 3 ) ASSOCIATED WITH TILINGS (1998) (1)
- Index To Volume 113, 2016 (2006) (0)
- Mathematical Physics Electronic Journal: Volumes 5 and 6 (2002) (0)
- epl draft Shearing of frictional sphere packings (2011) (0)
- Matching Rules and Substitution Tilings Figure 1: a Substitution Tiling (1999) (0)
- AUTOMORPHISMS OF VON NEUMANN ALGEBRAS AS POINT TRANSFORMATIONS1 (2010) (0)
- Dilatancy Transition in a Granular Model by David Aristoff and Charles Radin (2010) (0)
- Nucleation in Granular Media Undergoing Cyclic Shear (2020) (0)
- Supplemental Material: Homogeneous crystallization in cyclically sheared frictionless grains (2020) (0)
- The onset of yielding in a granular system (2008) (0)
- A Proposed Alternative to the Edwards Approach to Static Granular Matter (2018) (0)
- APERIODIC TILIINGS IN HIGHER (1993) (0)
- Supplemental Material : Nucleation in sheared granular matter (2017) (0)
- Measurements of sound speed, attenuation, and normal‐incidence reflection coefficient in water‐saturated glass beads as a function of porosity. (2009) (0)
- A mean field analysis of the solid/fluid phase transition (2013) (0)
- Institute for Mathematical Physics an Algebraic Invariant for Substitution Tiling Systems an Algebraic Invariant for Substitution Tiling Systems (2007) (0)
- Mathematical Physics Electronic Journal: (Print Version)Volumes 5 and 6 (2002) (0)
- Physics (for mathematicians) (1999) (0)
- Laboratory measurements of sound speed and attenuation in water‐saturated artificial sediments as a function of porosity. (2008) (0)
- The Pursuit of Perfect Packing by Tomaso Aste; Denis Weaire; Kelper's Conjecture by George G. Szpiro (2006) (0)
- Why is there a solid state (1980) (0)
- Equivalence between random close packing in granular matter and freezing in the hard sphere model (2021) (0)
- Gentle perturbations (1971) (0)
- Nucleation of athermal hard spheres (2017) (0)
- PR ] 2 6 M ar 2 02 1 MODERATE DEVIATIONS IN TRIANGLE COUNT (2021) (0)
- Emergence of a crystalline phase in sheared granular matter (2019) (0)
- Phase Transitions in Finite Random Networks (2020) (0)
- Advanced Problems: 6521-6523 (1986) (0)
- The 96th Statistical Mechanics Conference (2007) (0)
- From quicksand to beach-sand: a phase transition in quasi-static granular media. (2006) (0)
- Pattern-equivariant Cohomology of Tiling Spaces With Rotations (2006) (0)
- Phases of Granular Matter (2018) (0)
- J ul 2 01 8 CONJUGACIES FOR TILING DYNAMICAL SYSTEMS by (0)
- Multipodal Structure and Phase Transitions in Large Constrained Graphs (2017) (0)
- Reviews (2006) (0)
- Crystallization of sheared hard spheres at 64.5\% volume fraction (2017) (0)
- Measuring the phase diagram of granular media (2009) (0)
- J un 2 00 5 THE MOST STABLE STRUCTURE FOR HARD SPHERES by (2021) (0)
- Conway and Aperiodic Tilings (2020) (0)
- N ov 2 01 6 Wulff shape for equilibrium phases by (2016) (0)
- Quasicrystals: Solids with Unusual Symmetry (2009) (0)
- Optimal graphons in the edge-2star model (2023) (0)
- Topological Conjugacy between Aperiodic Tiling Dynamical Systems (0)
- Singularities in the Entropy of Asymptotically Large Simple Graphs (2014) (0)
- G R ] 9 J ul 2 01 8 On 2-Generator Subgroups of SO ( 3 ) by (2022) (0)
- Isomorphism of Hierarchical Structures. (arXiv:math-ph/9812016v2 UPDATED) (2018) (0)
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