Colin J. Thompson
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Colin J. Thompson's AcademicInfluence.com Rankings
Colin J. Thompsonmathematics Degrees
Mathematics
#7017
World Rank
#9620
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Mathematical Physics
#47
World Rank
#58
Historical Rank
Measure Theory
#1796
World Rank
#2200
Historical Rank
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Physics Mathematics
Colin J. Thompson's Degrees
- PhD Physics Princeton University
Why Is Colin J. Thompson Influential?
(Suggest an Edit or Addition)Colin J. Thompson'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
- Mathematical Statistical Mechanics (1972) (465)
- The Statistical Mechanics of Phase Transitions (1978) (438)
- Integrable mappings and soliton equations II (1989) (341)
- Integrable mappings and soliton equations (1988) (271)
- Inequality with Applications in Statistical Mechanics (1965) (219)
- On the dynamics of a continuum spin system (1976) (197)
- On Eigen's theory of the self-organization of matter and the evolution of biological macromolecules (1974) (195)
- Classical Equilibrium Statistical Mechanics (1988) (157)
- Expected minimum population size as a measure of threat (2001) (146)
- Shape Resonances in Superconducting Thin Films (1963) (111)
- Optimal investment in conservation of species (2008) (95)
- Theory for Designing Nature Reserves for Single Species (2004) (89)
- Shape resonances in superconductors - II simplified theory (1963) (65)
- Resource allocation for efficient environmental management. (2010) (63)
- Local properties of an Ising model on a Cayley tree (1982) (61)
- Robust decisions for declaring eradication of invasive species (2009) (49)
- Macromolecule--small molecule interactions: analytical and graphical reexamination. (1971) (49)
- On the Ratio of Consecutive Eigenvalues in N‐Dimensions (1969) (48)
- Model-based analysis of the likelihood of gene introgression from genetically modified crops into wild relatives (2003) (45)
- Nonlinear Cable Models for Cells Exposed to Electric Fields I. General Theory and Space-Clamped Solutions (1999) (45)
- Designing nature reserves in the face of uncertainty. (2011) (44)
- The anisotropic Heisenberg model in the long-range interaction limit (1975) (44)
- Logic for Designing Nature Reserves for Multiple Species (2006) (42)
- Absence of long-range order in one-dimensional spin systems (1981) (39)
- Critical Behavior of Several Lattice Models with Long‐Range Interaction (1969) (39)
- Competing Ising interactions and chaotic glass-like behaviour on a Cayley tree☆ (1983) (35)
- Ising model with competing interactions on a Cayley tree (1983) (35)
- Infinite‐Spin Ising Model in One Dimension (1968) (31)
- Upper bounds for Ising model correlation functions (1971) (30)
- Critical properties of Dyson's hierarchical model (1977) (29)
- On the mathematical mechanism of phase transition. (1966) (27)
- Classical theory of amorphous ferromagnets (1975) (25)
- Inferring extinctions II: A practical, iterative model based on records and surveys (2017) (25)
- Phase Transition and Eigenvalue Degeneracy of a One Dimensional Anharmonic Oscillator (1969) (25)
- Inferring extinction risks from sighting records. (2013) (24)
- Ising model in the high density limit (1974) (24)
- The high density limit for lattice spin models (1978) (23)
- Variational bounds for lattice fermion models II. Extended Hubbard model in the atomic limit (1993) (22)
- Chaos and strange attractors. (1981) (22)
- The classical limit ofn-vector spin models (1973) (21)
- The Golden-Thompson inequality: Historical aspects and random matrix applications (2014) (20)
- A cooperative model for Ca(++) efflux windowing from cell membranes exposed to electromagnetic radiation. (2000) (19)
- SPHERICAL MODEL AND THE INFINITE SPIN DIMENSIONALITY LIMIT. (1971) (19)
- Iteration of some discretizations of the nonlinear Schrödinger equation (1986) (19)
- On mean field equations for spin glasses (1982) (19)
- Managing credit risk with info‐gap uncertainty (2007) (17)
- Determination of Critical Behavior in Lattice Statistics from Series Expansions. I (1968) (16)
- Gravitational deflection of light: solar eclipse of 30 June 1973 I. Description of procedures and final result. (1976) (15)
- A model ferromagnet with first and second order phase transitions (1974) (15)
- Dynamics of insect resistance in Bt-corn (2004) (15)
- THE EMERGENCE OF INSECT RESISTANCE IN BT-CORN: IMPLICATION OF RESISTANCE MANAGEMENT INFORMATION UNDER UNCERTAINTY (2005) (15)
- Asymptotic and essentially singular solutions of the Feigenbaum equation (1988) (15)
- Time‐dependent model for hemoglobin and allosteric enzymes. I. General formulation (1971) (14)
- A statistical mechanical model of cell membrane ion channels in electric fields: The mean-field approximation (1999) (14)
- Asymptotic properties of sequences of iterates of nonlinear transformations (1982) (14)
- Phase Transition in Zero Dimensions: A Remark on the Spherical Model (1969) (13)
- Correlation functions in the spherical and mean spherical models (1977) (13)
- Critical isotherm of Dyson's hierarchical model (1977) (12)
- Critical properties of Dyson's hierarchical model. II. Essential singularities of the borderline Ising case (1978) (12)
- Heuristic approach to critical phenomena (1976) (12)
- Determination of critical behaviour from series expansions in lattice statistics. IV (1970) (12)
- Critical properties of Dyson's hierarchical model. III. The n-vector and Heisenberg models (1978) (12)
- Feigenvalues for Mandelsets (1991) (11)
- Time dependent model for hemoglobin and allosteric enzymes. II. (1971) (10)
- Validity of mean-field theories in critical phenomena (1992) (8)
- Disordered magnetic lattice gas: Formulation by the method of the distribution function (1981) (8)
- Low temperature susceptibility exponent for the three dimensional Ising model (1969) (8)
- A vector spin correlation inequality (1973) (8)
- Critical behavior of an isotropic spin system (1972) (8)
- Rigorous treatment of the BCS model of superconductivity (1993) (8)
- High-temperature expansions for the strongly correlated Hubbard model in the limit of infinite dimension (1991) (8)
- Spherical model with competing interactions (1986) (8)
- Generalized classical theory of magnetism (1987) (7)
- A novel method for estimating the number of species within a region (2014) (7)
- Determination of critical behaviour in lattice statistics from series expansions (1968) (7)
- On an Extremely Anisotropic n-Vector Model in the Limit of Infinite n (1976) (7)
- Nonlinear cell response to strong electric fields. (2000) (7)
- Risks from Competitively Inferior Immigrant Populations: Implications of Mass Effects for Species Conservation (2003) (7)
- The spherical limit forn-vector correlations (1977) (7)
- Chaotic planar states of the discrete dynamical anisotropic Heisenberg spin chain (1985) (7)
- Algebraic Derivation of the Partition Function of a Two‐Dimensional Ising Model (1965) (6)
- Statistical mechanics of a one-dimensional magnetic gas (1975) (6)
- On the Ising Model with Long‐Range Interaction. II. Critical‐Region Analysis (1970) (6)
- Magnetic lattice gas (1981) (6)
- Glass-like behaviour of a spherical model with oscillatory long-range potential (1986) (5)
- Distribution of iterates of first order difference equations (1980) (5)
- Spherical Model as an Instance of Eigenvalue Degeneracy (1968) (5)
- Trading indicators with information‐gap uncertainty (2008) (4)
- Fairy ring kinetics. (1976) (4)
- Thermodynamics of the strongly correlated Hubbard model (1991) (4)
- Disordered magnetic lattice gas: Gaussian probability distributions and the limit of infinitely-long-ranged interactions (1981) (4)
- Phase Transition of a Two‐Dimensional Continuum—Ising Model (1966) (4)
- Bayesian updating to estimate extinction from sequential observation data (2019) (4)
- Energy gap in a cubical model for nuclei (1965) (4)
- Critical points of two-dimensional Ising models (1974) (4)
- Alternative measures to value at risk (2008) (4)
- A study of criteria for constructing identification keys containing tests with unequal costs. (1989) (4)
- On the reconstruction of an evolutionary order. (1978) (4)
- Strong-Coupling Limit in Dilute Alloys (1966) (4)
- Nonlinear dynamics of charged particles interacting with combined ac-dc electromagnetic fields (1995) (3)
- On the universality and computation of Feigenbaum's δ (1981) (3)
- Correlation length amplitudes by lattice transformation (1975) (3)
- Iteration of piecewise linear maps on an interval (1981) (3)
- A lattice model with an infinite number of phase transitions (1976) (3)
- Thermodynamics of a liquid-metal model from high-temperature series expansions (1995) (3)
- Subsonic Potential Flow and the Transonic Controversy (1993) (3)
- Phase transition in a non-translationally invariant spherical model (1977) (3)
- Disordered magnetic lattice gas: Ferromagnetic and spin-glass fluids (1982) (3)
- Correlation functions for spin systems of high spatial dimensionality (1975) (3)
- Classical limit of the random spin-one Ising model on a Cayley tree (1986) (3)
- Lattice Models for Liquid Metals. I: Exact Solution of a One-Dimensional Model (1994) (3)
- Energy gap in spherical nuclei (1966) (3)
- On a model of molecular field deterioration (1975) (3)
- Critical behaviour of a modified spherical model (1977) (3)
- Self-consistent approach to localisation and the Anderson transition (1991) (2)
- Species distributions and area relationships. (2014) (2)
- Colouring Solutions of the Ice Problem (2011) (2)
- Shape resonances in superconducting cylinders (1965) (2)
- Gearing investments with uncertainty (2010) (2)
- Some non-linear problems in statistical mechanics and biology (1973) (2)
- A discrete Markov metapopulation model for persistence and extinction of species. (2016) (2)
- Numerical studies of the Hubbard model (1991) (2)
- Using survival theory models to quantify extinctions (2020) (2)
- Quantum cluster decimation (1991) (2)
- The Contributions of Mark Kac to Mathematical Physics (1986) (2)
- Disordered magnetic lattice gas (1983) (2)
- ASSESSMENT OF GUIDELINES FOR LIMITING EXPOSURES TO EMF USING METHODS OF PROBABILISTIC RISK ANALYSIS (2002) (2)
- Secondary metabolism in microorganisms, plants and animals: Third revised and enlarged edition, by M Luckner, Springer-Verlag, 1990, p 563 (1992) (2)
- An info‐gap approach to managing portfolios of assets with uncertain returns (2009) (2)
- The Generation of Grid Block Permeabilities From Core Data (1994) (2)
- Risk and uncertainty in bio-surveillance having imperfect detection rates (2007) (1)
- Eigenvalue Degeneracy and Existence and Non-existence of a Phase Transition in One Dimension (1969) (1)
- A mathematical model for the mammalian melatonin rhythm (2001) (1)
- High-temperature expansions for the strongly correlated Falicov-Kimball model (1992) (1)
- On head‐wave amplitudes (1987) (1)
- A perturbation approach to Bose-condensed pairs (1963) (1)
- A one-dimensional random walk with repulsion (1978) (1)
- General formulation of Haldane's laws for competing ligands. (1972) (1)
- Modulated phases and the mean-field theory of magnetism with competing interactions (1988) (1)
- Exact results for a generalized classicalO(n) matrix spin model (1986) (1)
- Lattice models for liquid metals. II. Exact solution of a mean-field model (1996) (1)
- Variational bounds for lattice fermion models. I. Spinless fermions (1993) (1)
- Conductivity of a lattice gas model. Monte-Carlo simulations (1998) (1)
- Random Spin Systems (1985) (1)
- Self-Consistency in the Quasi-Chemical Equilibrium Theory of Superconductivity (1963) (1)
- Longitudinal correlation function inequalities for the Ising like n-vector model (1976) (1)
- Disordered lattice gas (1981) (1)
- 1. Kinetic Theory (2015) (1)
- 3. The Gibbs Ensembles and the Thermodynamic Limit (2015) (0)
- Optimizing Work Performance Using Non-linear Dynamics (1999) (0)
- 4. Phase Transitions and Critical Points (2015) (0)
- The central limit theorem for Dyson's hierarchical model for small β (2017) (0)
- Zumino's theorem in the quasi-chemical equilibrium theory (1963) (0)
- Statistical mechanics of the strongly-correlated Hubbard chain. I. formulation (1991) (0)
- A unified model for hydrogen bonded crystals (1995) (0)
- Heisenberg model with long range interaction (1965) (0)
- On limits to perception and pattern recognition (1989) (0)
- Decisions with Relative Robustness (2017) (0)
- Theorists Honor Uhlenbeck with Statistical‐Mechanics Meeting (1970) (0)
- --Exact Solution of a One-Dimensional Model-- (1994) (0)
- 5. The Ising Model: Algebraic Approach (2015) (0)
- Designing nature reserves in the face of uncertainty (2009) (0)
- Sampling and Inspection for Monitoring Threats to Homeland Security (2008) (0)
- 7. Some Applications of the Ising Model to Biology (2015) (0)
- Note to the Reader (2015) (0)
- On limits to perception and pattern recognition. (1989) (0)
- 6. The Ising Model: Combinatorial Approach (2015) (0)
- Cooperative effects in hemoglobin and allosteric enzymes (1970) (0)
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What Schools Are Affiliated With Colin J. Thompson?
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