Derek W. Robinson
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British mathematician and physicist
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Derek W. Robinsonmathematics Degrees
Mathematics
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Group Theory
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Algebra
#204
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Measure Theory
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Why Is Derek W. Robinson Influential?
(Suggest an Edit or Addition)According to Wikipedia, Derek William Robinson was a British-Australian theoretical mathematician and physicist. He was a researcher at the Australian National University. Early life Derek W. Robinson was born in southern England. He attended grammar school followed by the University of Oxford where he earned a Bachelor of Arts with honours in mathematics in 1957 and a PhD in nuclear physics in 1960 with the dissertation, Multiple Coulomb Excitations in Deformed Nuclei. His PhD advisor was David M. Brink.
Derek W. Robinson'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 finite group velocity of quantum spin systems (1972) (1067)
- Elliptic Operators and Lie Groups (1991) (226)
- Operator Algebras and Quantum Statistical Mechanics: Equilibrium States. Models in Quantum Statistical Mechanics (2003) (196)
- C[*]- and W[*]-algebras symmetry groups decomposition of states (1987) (182)
- Semigroup Kernels, Poisson Bounds, and Holomorphic Functional Calculus (1996) (181)
- Mean entropy of states in classical statistical mechanics (1967) (164)
- Statistical mechanics of quantum spin systems. III (1968) (136)
- Covariance algebras in field theory and statistical mechanics (1966) (129)
- Entropy and Uncertainty (2008) (118)
- Mean Entropy of States in Quantum‐Statistical Mechanics (1968) (112)
- Conserved currents and associated symmetries; Goldstone's theorem (1966) (109)
- Positive one-parameter semigroups on ordered banach spaces (1984) (109)
- Unbounded derivations of C*-algebras (1975) (105)
- The Thermodynamic Pressure in Quantum Statistical Mechanics (1971) (81)
- Return to equilibrium (1973) (77)
- Analysis on Lie Groups with Polynomial Growth (2003) (75)
- Invariant states in statistical mechanics (1966) (75)
- The ground state of the Bose gas (1965) (68)
- Weighted subcoercive operators on Lie groups (1998) (64)
- Equilibrium states models in quantum statistical mechanics (1997) (61)
- Statistical mechanics of quantum spin systems (1967) (53)
- Analysis of degenerate elliptic operators of Grušin type (2006) (48)
- Asymptotically abelian systems (1967) (46)
- Bose-Einstein condensation with attractive boundary conditions (1976) (45)
- Stability properties and the KMS condition (1978) (40)
- Second‐order operators with degenerate coefficients (2006) (39)
- Elliptic operators on Lie groups (1996) (37)
- Approach to equilibrium of free quantum systems (1972) (36)
- Heat kernels and Riesz transforms on nilpotent Lie groups (1996) (35)
- Unbounded derivations ofC*-algebras II (1976) (35)
- Spectral estimates for positive Rockland operators (1994) (33)
- ONE‐PARAMETER SEMIGROUPS (London Mathematical Society Monographs, 15) (1982) (32)
- An index for continuous semigroups of ∗-endomorphisms of B(b) (1989) (31)
- Dirichlet Forms and Degenerate Elliptic Operators (2006) (31)
- Unbounded derivations of von Neumann algebras (1976) (30)
- Positivity and monotonicity properties ofC0-semigroups. I (1980) (29)
- Subordinate semigroups and order properties (1981) (28)
- Strongly positive semigroups and faithful invariant states (1982) (27)
- Riesz transforms and Lie groups of polynomial growth (1999) (27)
- A theorem concerning the positive metric (1965) (26)
- On second-order periodic elliptic operators in divergence form (2001) (26)
- Second-Order Subelliptic Operators on Lie Groups I: Complex Uniformly Continuous Principal Coefficients (1999) (25)
- Subcoercivity and subelliptic operators on Lie groups I: Free nilpotent groups (1994) (24)
- Subcoercivity and subelliptic operators on Lie groups II: The general case (1995) (24)
- A proof of the existence of phase transitions in the anisotropic Heisenberg model (1969) (24)
- Lp-regularity of subelliptic operators on Lie groups (1992) (23)
- Statistical mechanics of quantum spin systems. II (1968) (22)
- Markov uniqueness of degenerate elliptic operators (2009) (22)
- On positive Rockland operators (1993) (20)
- Extremal invariant states (1967) (20)
- Asymptotics of periodic subelliptic operators (1995) (20)
- Rohlin flows on the Cuntz algebra O (2007) (17)
- High order divergence-form elliptic operators on Lie groups (1997) (17)
- Greens functions, Hamiltonians and modular automorphisms (1976) (17)
- Scattering theory with singular potentials. I. The two-body problem (1974) (17)
- Ground states of quantum spin systems (1978) (17)
- On Kato's square root problem (1997) (17)
- Analyticity Properties of the Anisotropic Heisenberg Model (1968) (16)
- Positive $C_0$-semigroups on $C^*$-algebras. (1981) (16)
- Reduced heat kernels on nilpotent Lie groups (1995) (16)
- Normal and locally normal states (1970) (16)
- Continuous semigroups on ordered Banach spaces (1983) (16)
- Degenerate elliptic operators in one dimension (2009) (15)
- Small time asymptotics of diffusion processes (2006) (15)
- Properties of propagation of quantum spin systems (1976) (15)
- The Jordan decomposition and half-norms (1984) (14)
- The heat semigroup and integrability of Lie algebras (1988) (14)
- Weighted strongly elliptic operators on Lie groups (1994) (14)
- The canonical half-norm, dual half-norms, and monotonic norms (1983) (14)
- Strong topological transitivity and $C^{*}$-dynamical systems (1985) (14)
- ON A SOLUBLE MODEL OF RELATIVISTIC FIELD THEORY (1964) (14)
- Spectral asymptotics of periodic elliptic operators (1997) (14)
- Degenerate elliptic operators: capacity, flux and separation (2006) (13)
- On Unbounded Derivations Commuting with a Compact Group of *-Automorphisms (1982) (13)
- The approximation of flows (1977) (13)
- Functional analysis of subelliptic operators on Lie groups (1992) (12)
- Second-order strongly elliptic operators on Lie groups with Hölder continuous coefficients (1997) (12)
- Statistical mechanics of quantum mechanical particles with hard cores (1970) (12)
- Unitary representations of Lie groups and Gårding’s inequality (1989) (11)
- ALGEBRAIC ASPECTS OF RELATIVISTIC QUANTUM FIELD THEORY. (1967) (11)
- Fractional powers of generators of equicontinuous semigroups and fractional derivatives (1989) (11)
- The limitations of the Poincaré inequality for Grušin type operators (2014) (11)
- Lie groups and Lipschitz spaces (1988) (11)
- Approximately inner derivations (2007) (11)
- Embedding Product Type Actions into C*-Dynamical Systems (1987) (10)
- Hardy inequalities, Rellich inequalities and local Dirichlet forms (2017) (10)
- The physical states of Fermi systems (1969) (10)
- Elliptic differential operators on Lie groups (1991) (10)
- Local Lower Bounds on Heat Kernels (1998) (10)
- Perturbations of flows on Banach spaces and operator algebras (1978) (9)
- Subelliptic operators on Lie groups: Variable coefficients (1996) (9)
- Unbounded derivations and invariant trace states (1976) (9)
- On Matrix Commutators of Higher Order (1965) (9)
- HEREDITARY CONES, ORDER IDEALS AND HALF-NORMS (1984) (9)
- Uniqueness of diffusion on domains with rough boundaries (2015) (8)
- Uniform subellipticity (2006) (8)
- Commutator Theory on Hilbert Space (1987) (8)
- Dynamical stability and pure thermodynamic phases (1975) (8)
- Derivations, dynamical systems, and spectral restrictions. (1985) (8)
- Statistical mechanics of quantum mechanical particles with hard cores (1970) (8)
- The characterization of differential operators by locality: classical flows (1986) (7)
- A characterization of clustering states (1975) (7)
- Positivity and monotonicity properties ofC0-semigroups. II (1980) (7)
- Second-order subelliptic operators on Lie groups III: Hölder continuous coefficients (1999) (7)
- Integration In Abelian C*-Dynamical Systems (1985) (7)
- Strictly positive and strongly positive semigroups (1983) (7)
- Stability and Equilibrium (1997) (7)
- Equilibrium states of a Bose gas with repulsive interactions (1980) (7)
- Addition of an identity to an ordered Banach space (1983) (7)
- Abundance of Invariant and Almost Invariant Pure States of -Dynamical Systems (1996) (6)
- Scattering theory with singular potentials. II. The n-body problem and hard cores (1974) (6)
- Propagation properties in scattering theory (1980) (6)
- Invariant subspaces of submarkovian semigroups (2008) (6)
- On Positive Semigroups (1984) (6)
- Basic theory of one-parameter semigroups (1982) (5)
- On Second‐Order Almost‐Periodic Elliptic Operators (2001) (5)
- FLOWS AND INVARIANCE FOR DEGENERATE ELLIPTIC OPERATORS (2011) (5)
- Uniqueness properties of degenerate elliptic operators (2012) (5)
- States in Quantum Statistical Mechanics (1981) (5)
- Normal states and representations of the canonical commutation relations (1971) (5)
- A Note on a Simple Matrix Isomorphism (1959) (5)
- L₁-uniqueness of degenerate elliptic operators (2010) (5)
- Relative locality of derivations (1984) (5)
- Uniqueness of diffusion operators and capacity estimates (2013) (5)
- SUPPORT OF FIELD IN MOMENTUM SPACE (1962) (5)
- $L_1$-uniqueness of degenerate elliptic operators (2010) (5)
- The characterization of differential operators by locality: abstract derivations (1985) (4)
- Grušin operators, Riesz transforms and nilpotent Lie groups (2016) (4)
- The heat semigroup and integrability of Lie algebras: Lipschitz spaces and smoothness properties (1990) (4)
- Commutators and generators II. (1989) (4)
- Conservation and invariance properties of submarkovian semigroups (2009) (4)
- The weighted Hardy inequality and self-adjointness of symmetric diffusion operators (2020) (4)
- A Note on Additive Commutators in a Ring (1965) (4)
- HARDY AND RELLICH INEQUALITIES ON THE COMPLEMENT OF CONVEX SETS (2017) (4)
- Dynamics in Quantum Statistical Mechanics (1978) (3)
- Asymptotics of subcoercive semigroups on nilpotent Lie groups (1998) (3)
- Quasi-diagonal flows (2008) (3)
- Smooth cores of Lipschitz flows (1987) (3)
- Return to equilibrium in theXY model (1986) (3)
- The weighted Hardy constant (2021) (3)
- SYMMETRIES, BROKEN SYMMETRIES, CURRENTS, AND CHARGES. (1967) (3)
- Hardy spaces on Lie groups of polynomial growth (2010) (3)
- The limitations of the Poincaré inequality (2013) (2)
- Second-order elliptic operators and heat kernels on Lie groups (1991) (2)
- Lie and Jordan structure in operator algebras (1980) (2)
- Measurement of the Flux of $^{8}$B Solar Neutrinos at the Sudbury Neutrino Observatory (2008) (2)
- Flows and invariance for elliptic operators (2009) (2)
- Positivity and strong ellipticity (2005) (2)
- On self-adjointness of symmetric diffusion operators (2019) (2)
- Basic semigroup theory (1996) (2)
- On extensions of local Dirichlet forms (2016) (2)
- Schauder estimates on Lie groups (1990) (1)
- The heat semigroup, derivations and Reynolds' identity (1989) (1)
- Commutators and generators. (1988) (1)
- A note on matrix commutators. (1960) (1)
- Hardy inequalities, Rellich inequalities and local Dirichlet forms (2018) (1)
- Smooth derivations on abelian C*-dynamical systems (1987) (1)
- Strongly Elliptic and Subelliptic Operators on Lie Groups (1993) (1)
- A P ] 3 0 Ju n 20 06 Contraction semigroups on L ∞ ( R ) (2006) (0)
- 1 4 Ja n 20 06 Degenerate elliptic operators : capacity , flux and separation (2008) (0)
- ANALYSIS AND GEOMETRY ON GROUPS (1994) (0)
- Models of Quantum Statistical Mechanics (1981) (0)
- The limitations of the Poincaré inequality for Grušin type operators (2014) (0)
- Groups, Semigroups, and Generators (1979) (0)
- Subelliptic operators on Lie groups (2013) (0)
- Commutator theory and partial differential operators on Hilbert space (1986) (0)
- A P ] 1 3 Ja n 20 06 Second-order operators with degenerate coefficients (2005) (0)
- CONSERVED CURRENTS AND BROKEN SYMMETRIES. (1968) (0)
- A P ] 1 4 Ja n 20 06 Dirichlet forms and degenerate elliptic operators (2006) (0)
- relations, Commutation for operators, semigroups, and resolvents with applications to mathematical physics and representations of Lie (2022) (0)
- In the Beginning: Langlands’ Doctoral Thesis (2019) (0)
- Integration of lie algebras (1987) (0)
- Integration In Abelian ODynamical Systems (2005) (0)
- Contraction semigroups on $L_\infty({\bf R})$ (2006) (0)
- Continuous Quantum Systems. II (1997) (0)
- Quantum Spin Systems (1997) (0)
- A P ] 3 1 M ar 2 00 9 Flows and invariance for elliptic operators (2021) (0)
- On anomalous asymptoti sof heat kernelson groups of polynomial growthNi (2000) (0)
- Gaussian and non-Gaussian Behaviour of Diffusion Processes (2015) (0)
- Analytic elements of Lie groups (1996) (0)
- Gaussian bounds, strong ellipticity and uniqueness criteria (2014) (0)
- Comparison of commuting one-parameter groups of isometries (1990) (0)
- LIE AND JORDAN STRUCTURE IN OPERATOR (1980) (0)
- INTRODUCTION TO MATHEMATICAL PHYSICS: QUANTUM SPIN SYSTEMS MATH 541: SECTION 001 SYLLABUS (2018) (0)
- Uniqueness properties of degenerate elliptic operators (2012) (0)
- Second-order subelliptic operatorson Lie groups II : real measurableprincipal coe (1999) (0)
- A Note on Diagonable Matrix Polynomials (1960) (0)
- The limitations of the Poincar{é} inequality (2013) (0)
- Correction to: On self-adjointness of symmetric diffusion operators (2020) (0)
- The Characterization of Differential Operators by Locality: Dissipations and Ellipticity (1985) (0)
- Homogenization and Kernel Bounds (2003) (0)
- A P ] 1 4 Ja n 20 06 Small time asymptotics of diffusion processes (2006) (0)
- A P ] 2 2 D ec 2 00 6 Uniform subellipticity (2006) (0)
- Uniqueness of diffusion operators and capacity estimates (2013) (0)
- Gru\v{s}in operators, Riesz transforms and nilpotent Lie groups (2014) (0)
- Contraction Semigroups on L∞(R) (2007) (0)
- Frontiers of science and measurement: Report on a seminar jointly organized by the National Physical Laboratory and the Institute of Physics (1993) (0)
- Ellipticity and Ergodicity (2008) (0)
- Smooth Cores of LIpschltz Flows (2005) (0)
- A P ] 2 6 Se p 20 10 L 1-uniqueness of degenerate elliptic operators (2010) (0)
- Smooth Cores of LIpschltz Flows (2005) (0)
- ANNALES DE L'I. H. P., SECTION A (1967) (0)
- Rohlin flows on the Cuntz algebra $O_\infty$ (2005) (0)
- Correction to: On self-adjointness of symmetric diffusion operators (2020) (0)
- A P ] 1 3 Ja n 20 06 Positivity and strong ellipticity (2008) (0)
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