E. Brian Davies

Q: What Schools Are Affiliated With E. Brian Davies

E. Brian Davies is affiliated with the following schools: University of Oxford, Princeton University, King's College London, King's College, Aberdeen

E. Brian Davies's AcademicInfluence.com Rankings

E. Brian Davies

Mathematics

#3027

World Rank

#4552

Historical Rank

Measure Theory

#421

World Rank

#607

Historical Rank

mathematics Degrees

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Mathematics

Why Is E. Brian Davies Influential?

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According to Wikipedia, Edward Brian Davies FRS is a former professor of Mathematics, King's College London , and is the author of the popular science book Science in the Looking Glass: What do Scientists Really Know. In 2010, he was awarded a Gauss Lecture by the German Mathematical Society.

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E. Brian Davies'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

Heat kernels and spectral theory (1989) (2467)
One-parameter semigroups (1980) (988)
Markovian master equations (1974) (742)
An operational approach to quantum probability (1970) (729)
Linear Operators and their Spectra (2007) (517)
Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians (1984) (432)
PROBABILISTIC AND STATISTICAL ASPECTS OF QUANTUM THEORY (North‐Holland Series in Statistics and Probability, 1) (1984) (301)
Spectral Theory and Differential Operators: Index (1995) (295)
SEMIGROUPS OF LINEAR OPERATORS AND APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS: (Applied Mathematical Sciences, 44) (1984) (285)
A review of Hardy inequalities (1998) (234)
Information and quantum measurement (1978) (233)
EXPLICIT CONSTANTS FOR GAUSSIAN UPPER BOUNDS ON HEAT KERNELS (1987) (221)
Uniformly Elliptic Operators with Measurable Coefficients (1995) (214)
SEMIGROUPS OF LINEAR OPERATORS AND APPLICATIONS (Oxford Mathematical Monographs) (1986) (184)
Explicit constants for Rellich inequalities in $L_p(\Omega)$ (1998) (173)
Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups (1988) (169)
Heat kernel bounds, conservation of probability and the feller property (1992) (168)
Markovian master equations. II (1976) (158)
Quantum stochastic processes (1969) (148)
Non‐Gaussian Aspects of Heat Kernel Behaviour (1997) (147)
The Cauchy Problem and a Generalization of the Hille-Yosida Theorem (1987) (146)
Pseudo–spectra, the harmonic oscillator and complex resonances (1999) (137)
Scattering theory for systems with different spatial asymptotics on the left and right (1978) (136)
Bounds on complex eigenvalues and resonances (1999) (135)
Non‐Self‐Adjoint Differential Operators (2002) (125)
THE HARDY CONSTANT (1995) (124)
Semi-Classical States for Non-Self-Adjoint Schrödinger Operators (1998) (117)
Open quantum systems with time-dependent Hamiltonians and their linear response (1978) (112)
On the repeated measurement of continuous observables in quantum mechanics (1970) (106)
L1 Properties of Second order Elliptic Operators (1985) (99)
Spectral Pollution (2003) (96)
Explicit constants for Rellich inequalities in (1998) (94)
Quantum stochastic processes II (1970) (94)
Functional Calculus (1995) (92)
Non-commutative symmetric Markov semigroups (1992) (88)
Lipschitz Continuity of Functions of Operators in the Schatten Classes (1988) (88)
Generators of dynamical semigroups (1979) (88)
Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds (1988) (85)
Lp Spectral Theory of Higher‐Order Elliptic Differential Operators (1997) (84)
Large Deviations for Heat Kernels on Graphs (1993) (80)
EVOLUTIONARY INTEGRAL EQUATIONS AND APPLICATIONS (Monographs in Mathematics 87) (1996) (74)
Pseudospectra of differential operators (2000) (71)
Spectral Asymptotics of the Non‐Self‐Adjoint Harmonic Oscillator (2004) (70)
The equivalence of certain heat kernel and Green function bounds (1987) (69)
Lp Spectral Independence and L1 Analyticity (1995) (68)
The harmonic oscillator in a heat bath (1973) (68)
The thermodynamic limit for an imperfect Boson gas (1972) (63)
Spectral Theory and Differential Operators: Translation invariant operators (1995) (62)
Wild Spectral Behaviour of Anharmonic Oscillators (2000) (61)
Spectral stability of the Neumann Laplacian (2001) (61)
Symmetry breaking for a non-linear Schrödinger equation (1979) (59)
Limits onLpRegularity of Self-Adjoint Elliptic Operators (1997) (59)
Schrödinger operators with slowly decaying potentials (2002) (58)
Spectral Enclosures and Complex Resonances for General Self-Adjoint Operators (1998) (56)
Embeddable Markov Matrices (2010) (54)
Lp spectral theory of Kleinian groups (1988) (52)
Lp norms of non-critical Schrödinger semigroups (1991) (51)
Sharp boundary estimates for elliptic operators (1998) (50)
Metastable States of Symmetric Markov Semigroups II (1982) (50)
Analysis on graphs and noncommutative geometry (1993) (50)
Metastable States of Symmetric Markov Semigroups I (1982) (48)
On Enss’ approach to scattering theory (1980) (46)
SHARP HEAT KERNEL BOUNDS FOR SOME LAPLACE OPERATORS (1989) (43)
THE STRUCTURE AND IDEAL THEORY OF THE PREDUAL OF A BANACH LATTICE (1968) (43)
Spectral instability for some Schrödinger operators (1998) (42)
Spectral properties of Neumann Laplacian of horns (1992) (41)
Diffusion for weakly coupled quantum oscillators (1972) (40)
Kato Class Potentials for Higher Order Elliptic Operators (1998) (38)
Perturbations of Jordan matrices (2006) (36)
Particle–boson interactions and the weak coupling limit (1979) (36)
Non-Weyl asymptotics for quantum graphs with general coupling conditions (2010) (36)
Spectral Properties of Compact Manifolds and Changes of Metric (1990) (35)
Non-Weyl resonance asymptotics for quantum graphs (2010) (34)
Properties of the Green's Functions of Some Schrödinger Operators (1974) (34)
Eigenvalue stability bounds via weighted Sobolev spaces (1993) (33)
Dynamics of a multilevel Wigner‐Weisskopf atom (1974) (32)
On the Borel structure ofC*-algebras (1968) (32)
Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle (2006) (31)
Irreversible dynamics of infinite fermion systems (1977) (30)
Non-unitary scattering and capture. I. Hilbert space theory (1980) (30)
Scattering from infinite sheets (1977) (29)
The twisting trick for double well Hamiltonians (1982) (29)
Approximate Diagonalization (2007) (29)
A model of heat conduction (1978) (27)
Some contraction semigroups in quantum probability (1972) (27)
Trace properties of the Dirichlet Laplacian (1985) (25)
L1-properties of intrinsic Schrödinger semigroups (1986) (25)
Spectral properties of random non-self-adjoint matrices and operators (2000) (25)
HEAT KERNEL BOUNDS FOR SECOND ORDER ELLIPTIC OPERATORS ON RIEMANNIAN MANIFOLDS (1987) (25)
Spectral properties of metastable Markov semigroups (1983) (25)
The State of the Art for Heat Kernel Bounds on Negatively Curved Manifolds (1993) (24)
A numerical investigation of the solution of a class of fourth–order eigenvalue problems (2000) (24)
Markov semigroups on C∗-bundles (1989) (23)
Triviality of the peripheral point spectrum (2005) (23)
Semigroup Growth Bounds (2003) (23)
Tensor Products, Infinite Products, and Projective Limits of Choquet Simplexes. (1968) (23)
Markov semigroups on C∗-bundles (1989) (23)
An Indefinite Convection-Diffusion Operator (2007) (22)
A Defence of Mathematical Pluralism (2005) (22)
Long time asymptotics of fourth order parabolic equations (1995) (21)
A hierarchical method for obtaining eigenvalue enclosures (1998) (19)
Eigenvalues of an elliptic system (2001) (19)
Some Commutator Estimates in the Schatten Classes (1989) (19)
Heat kernel bounds on manifolds with cusps (1987) (18)
Exact dynamics of an infinite-atom Dicke maser model (1973) (18)
The classical limit for quantum dynamical semigroups (1976) (18)
Superderivations and symmetric Markov semigroups (1993) (18)
Quantum communication systems (Corresp.) (1977) (18)
Metastability and the Ising model (1982) (18)
Spectrum of a Feinberg-Zee random hopping matrix (2011) (18)
Spectral Theory and Differential Operators: Preface (1995) (17)
HEAT KERNELS IN ONE DIMENSION (1993) (17)
An Inverse Spectral Theorem (2010) (16)
Symmetry breaking for molecular open systems (1981) (16)
Time-dependent scattering theory (1974) (14)
Example Related to the Foundations of Quantum Theory (1972) (14)
LINEAR INTEGRAL OPERATORS: Surveys and Reference Works in Mathematics, 7 (1983) (14)
Dilations of Completely Positive Maps (1978) (14)
The Choquet theory and representation of ordered Banach spaces (1969) (13)
Spectral Bounds Using Higher-Order Numerical Ranges (2005) (13)
Asymptotic analysis of some abstract evolution equations (1977) (13)
A Generalized Theory of Convexity (1967) (12)
HYPERCONTRACTIVE AND RELATED BOUNDS FOR DOUBLE WELL SCHRÖDINGER HAMILTONIANS (1983) (12)
PERTURBATIONS OF ULTRACONTRACTIVE SEMIGROUPS (1986) (12)
Semi-classical analysis and pseudo-spectra (2004) (11)
The infinite atom Dicke maser model II (1973) (11)
Markovian master equations. III (1975) (11)
Ultracontractive Semigroups and Some Problems in Analysis (1986) (11)
A model of atomic radiation (1978) (11)
Heat Kernels and spectral theory: Riemannian manifolds (1989) (11)
Pointwise lower bounds on the heat kernels of higher order elliptic operators (1999) (11)
Uniqueness of the standard form of the generator of a quantum dynamical semigroup (1980) (10)
Heat Kernels and spectral theory: References (1989) (10)
Decomposing the essential spectrum (2008) (10)
Jwkb and Related Bounds on Schrödinger Eigenfunctions (1982) (10)
ON THE BANACH DUALS OF CERTAIN SPACES WITH THE RIESZ DECOMPOSITION PROPERTY (1967) (10)
Non-Self-Adjoint Operators and Pseudospectra (2007) (10)
Singular Schrodinger operators in one dimension (2011) (10)
Metastable states of molecules (1980) (10)
KERNEL ESTIMATES FOR FUNCTIONS OF SECOND ORDER ELLIPTIC OPERATORS (1988) (9)
Spectral Theory of Pseudo-Ergodic Operators (2000) (9)
Quantum stochastic processes III (1971) (9)
LEVEL SETS OF THE RESOLVENT NORM OF A LINEAR OPERATOR REVISITED (2014) (9)
Nonlinear Schrodinger operators and molecular structure (1995) (9)
The ideal Boson gas in an external scalar potential (1973) (8)
A BLW inequality for vector bundles and applications to spectral bounds (1989) (8)
Spectra of a class of non-self-adjoint matrices (2013) (7)
Quantum mechanics does not require the continuity of space (2003) (7)
The Existence of Characters on Topological Lattices (1968) (7)
On the Accurate Finite Element Solution of a Class of Fourth Order Eigenvalue Problems (1999) (7)
First and second quantised neutron diffusion equations (1977) (7)
Heat kernel and hardy estimates for locally Euclidean manifolds with fractal boundaries (1993) (7)
SYMMETRIES OF COMPACT CONVEX SETS (1974) (7)
Two‐Dimensional Riemannian Manifolds with Fractal Boundaries (1994) (7)
A Generalisation of Kaplansky's Theorem (1972) (7)
Convergence of eigenvalues for a highly non‐self‐adjoint differential operator (2008) (7)
Eigenfunction expansions for singular Schrodinger operators (1977) (7)
Structural isomers, double wells, resonances, and Dirichlet decoupling (1984) (7)
DECOMPOSITION OF TRACES ON SEPARABLE C*-ALGEBRAS (1969) (6)
Dynamical stability of metastable states (1982) (6)
Trace Properties of Some Highly Anisotropic Operators (1985) (6)
Involutory automorphisms of operator algebras (1971) (6)
Some time-dependent Hartree equations (1979) (6)
On eigenfunction approximations for typical non–self–adjoint Schrödinger operators (1999) (6)
Special classes of semigroup (2007) (6)
Hilbert space representations of Lie algebras (1971) (6)
THE STRUCTURE OF Σ*-ALGEBRAS (1969) (6)
Energy dependence of the scattering operator (1980) (5)
L p spectral independence for certain uniformly elliptic operators (1996) (5)
Master equations: A survey of rigorous results (1977) (5)
Criteria for ultracontractivity (1985) (5)
Heat kernel bounds for higher order elliptic operators (1995) (5)
Computing the Decay of a Simple Reversible Sub-Markov Semigroup (2004) (4)
Spectral properties of matrices associated with some directed graphs (2008) (4)
Sectorial perturbations of self‐adjoint matrices and operators (2012) (4)
The hyperbolic geometry and spectrum of irregular domains (1990) (4)
The eigenvalue distribution of degenerate Dirichlet forms (1985) (4)
Empiricism in arithmetic and analysis (2003) (4)
Double well hamiltonians (1984) (4)
Separation of variables in deformed cylinders: 327 (2000) (4)
Positive Linear Maps which are Order Bounded on C* Subalgebras (1978) (3)
A generation theorem for operators commuting with group actions (1984) (3)
Irreversible and Nonlinear Dynamics of Open Systems (1980) (3)
Spectral Theory and Differential Operators: Neumann boundary conditions (1995) (3)
The harmonic functions of mean ergodic Markov semigroups (1982) (3)
An adiabatic theorem applicable to the stark effect (1983) (3)
C*-algebras associated with some second order differential operators (2011) (3)
SPECTRAL METHODS IN LINEAR TRANSPORT THEORY (Operator Theory: Advances and Applications, 5) (1984) (3)
The eigenvalue gap for second-order elliptic operators with dirichlet boundary conditions (1990) (3)
Scattering from a spatially restricted atom, I (1979) (3)
Approximating semigroups by using pseudospectra (2003) (3)
Energy dependence of the scattering operator II (1982) (2)
Classical approximations to Gibbs states (1979) (2)
Algebraic aspects of spectral theory (2010) (2)
SCATTERING THEORY BY THE ENSS METHOD (Mathematical Reports Volume 1, Part 1) (1985) (2)
THE RATE OF RESOLVENT AND SEMIGROUP CONVERGENCE (1984) (2)
Asymptotic Modifications of Dynamical Semigroups on C*-Algebras (1981) (2)
The Computation of Thresholds for Schrödinger Operators (1999) (2)
Asymptotic behaviour of quasi-orthogonal polynomials (2003) (1)
Parametric interactions and scattering (1974) (1)
Spectral Theory and Differential Operators: The spectral theorem (1995) (1)
Semi-classical Analysis and Pseudospectra Sap2.tex (2004) (1)
OPERATOR COLLIGATIONS IN HILBERT SPACES (Translation from the original Russian edited by R. G. Douglas) (1980) (1)
Some Remarks on the Foundations of Quantum Theory (2005) (1)
An eigenvalue bound for compact manifolds with varying curvature (1989) (1)
Spectral Theory and Differential Operators: Schrödinger operators (1995) (0)
Heat Kernels and spectral theory: Introductory concepts (1989) (0)
Newman ’ s proof of Wiener ’ s Theorem (2005) (0)
Asymptotic completeness for a quark model of meson scattering (1980) (0)
Numerische Mathematik Manuscript No. Spectral Instability for Some Schrr Odinger Operators Spectral Instability (0)
Spectral Theory and Differential Operators: Further spectral results (1995) (0)
Perturbations of Jordan Matrices Version 43 (0)
SEMIGROUP GROWTH BOUNDS version 15 (2003) (0)
Operators on Hilbert space (2007) (0)
Title: Embeddable Markov Matrices (0)
Pluralism in mathematics. Discussion (2005) (0)
PSEUDOSPECTRA , THE HARMONIC OSCILLATORAND COMPLEX RESONANCESE (1998) (0)
Spectral Theory and Differential Operators: Dirichlet boundary conditions (1995) (0)
SPECTRAL BOUNDS USING HIGHER ORDER NUMERICAL RANGES revision 3 (2004) (0)
Ground state energy of almost periodic Schrödinger operators (1999) (0)
Spectral Properties of Some Second Order Elliptic Operators on LP-Spaces (1986) (0)
Quantitative bounds on operators (2007) (0)
Logarithmic Sobolev inequalities (1989) (0)
Quantitative bounds on semigroups (2007) (0)
Stability of molecular eigenstates (1982) (0)
Ju n 20 01 SPECTRAL STABILITY OF THE NEUMANN LAPLACIAN (2008) (0)
NSA Schrödinger operators (2007) (0)
Gaussian bounds on heat kernels (1989) (0)
Spectral Theory and Geometry: Computational Spectral Theory (1999) (0)

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What Schools Are Affiliated With E. Brian Davies?

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