Raphael Høegh-Krohn

Raphael Høegh-Krohn's AcademicInfluence.com Rankings

Raphael Høegh-Krohn

Mathematics

#6608

Historical Rank

Measure Theory

#3002

Historical Rank

mathematics Degrees

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Mathematics

Why Is Raphael Høegh-Krohn Influential?

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According to Wikipedia, Jan Raphael Høegh-Krohn was a Norwegian mathematician. He finished his Ph.D. in 1966, titled On Partly Gentle Perturbation with Application to Perturbation by Annihilation-Creation Operator, under the supervision of Kurt Friedrichs at the New York University.

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Raphael Høegh-Krohn'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 theory of Feynman path integrals (1976) (331)
Hypercontractive semigroups and two dimensional self-coupled Bose fields (1972) (238)
Energy forms, Hamiltonians, and distorted Brownian paths (1977) (204)
Dirichlet forms and diffusion processes on rigged Hilbert spaces (1977) (181)
Spectral Properties of Positive Maps on C*‐Algebras (1978) (164)
Compact ergodic groups of automorphisms (1981) (112)
The Wightman Axioms and the Mass Gap for Strong Interactions of Exponential Type in Two-Dimensional Space-Time (1974) (107)
Classification and construction of quasisimple Lie algebras (1990) (107)
A NUMERICAL METHOD FOR FIRST ORDER NONLINEAR SCALAR CONSERVATION LAWS IN ONE-DIMENSION (1988) (103)
The energy representation of Sobolev-Lie groups (1978) (88)
A class of explicitly soluble, local, many‐center Hamiltonians for one‐particle quantum mechanics in two and three dimensions. I (1980) (82)
Frobenius theory for positive maps of von Neumann algebras (1978) (80)
A class of exactly solvable three-body quantum mechanical problems and the universal low energy behavior (1981) (80)
Relativistic quantum statistical mechanics in two-dimensional space-time (1974) (79)
A general class of quantum fields without cut-offs in two space-time dimensions (1971) (79)
Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions (1979) (78)
Dirichlet forms and Markov semigroups onC*-algebras (1977) (73)
The one particle theory of periodic point interactions (1980) (68)
Singular perturbations and nonstandard analysis (1979) (68)
Uniqueness of the physical vacuum and the Wightman functions in the infinite volume limit for some non polynomial interactions (1973) (67)
Hunt processes and analytic potential theory on rigged Hilbert spaces (1977) (66)
Homogeneous random fields and statistical mechanics (1975) (64)
Compactness and the maximal Gibbs state for random Gibbs fields on a lattice (1982) (61)
The low energy expansion in nonrelativistic scattering theory (1982) (56)
Stationary measures for the periodic Euler flow in two dimensions (1979) (54)
Irreducibility and Reducibility for the Energy Representation of the Group of Mappings of a Riemannian Manifold into a Compact Semisimple Lie Group (1981) (53)
Perturbation of resonances in quantum mechanics (1984) (51)
Feynman Path Integrals (1979) (51)
Factorial Representations of Path Groups (1983) (47)
Some results for the exponential interaction in two or more dimensions (1979) (45)
Feynman path integrals and the trace formula for the Schrödinger operators (1982) (39)
Point interactions in two diemsions: Basic properties, approximations and applications to solid state physics. (1987) (38)
Stochastic multiplicative measures, generalized Markov semigroups, and group-valued stochastic processes and fields (1988) (37)
Classification of C*-algebras admitting ergodic actions of the two-dimensional torus. (1981) (32)
Ideas and methods in quantum and statistical physics (1992) (31)
Euclidean Markov fields and relativistic quantum fields from stochastic partial differential equations in four dimensions (1986) (30)
Ergodic actions by compact groups onC*-algebras (1980) (29)
Poisson processes on groups and Feynman path integrals (1980) (29)
Noncommutative Distributions: Unitary Representation of Gauge Groups and Algebras (1993) (26)
Feynman path integrals and the corresponding method of stationary phase (1979) (25)
Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions (1989) (24)
Newtonian diffusions and planets, with a remark on non-standard Dirichlet forms and polymers (1984) (23)
Quaternionic non-abelian relativistic quantum fields in four space-time dimensions (1987) (23)
Boson fields under a general class of cut-off interactions (1969) (22)
On the spectrum of the space cut-off :P(ϕ):Hamiltonian in two space-time dimensions (1971) (21)
Representation and Construction of Multiplicative Noise (1989) (21)
Stochastic lie group-valued measures and their relations to stochastic curve integrals, gauge fields and markov cosurfaces (1986) (20)
Local relativistic invariant flows for quantum fields (1983) (20)
Markov cosurfaces and gauge fields (1984) (20)
Stochastic flows with stationary distribution for two-dimensional inviscid fluids (1989) (19)
Charged particles with short range interactions (1983) (19)
Construction of interacting local relativistic quantum fields in four spacetime dimensions (1988) (17)
The global Markov property for lattice systems (1981) (17)
Feynman path integral and Poisson processes with piecewise classical paths (1982) (16)
Random fields with values in Lie groups and Higgs fields (1986) (15)
Some applications of functional integration (1982) (15)
On the scattering operator for quantum fields (1970) (15)
Construction of quantized Higgs-like fields in two dimensions (1989) (14)
Model dependence of Coulomb-corrected scattering lengths (1984) (14)
Covariant markovian random fields in four space-time dimensions with nonlinear electromagnetic interaction (1989) (14)
ASYMPTOTIC FIELDS IN SOME MODELS OF QUANTUM FIELD THEORY. III. (1970) (13)
The spectrum of the three-dimensional Kronig - Penney model with random point defects (1982) (12)
Boson fields with bounded interaction densities (1970) (12)
Markov Processes on Infinite Dimensional Spaces, Markov Fields and Markov Cosurfaces (1985) (11)
Schrödinger operators with point interactions and short range expansions (1984) (11)
Martingale Convergence and the Exponential Interaction in ℝn (1980) (11)
A class of N nonlinear hyperbolic conservation laws (1990) (11)
The 1/r expansion for the critical multiple well problem (1983) (10)
A global and stochastic analysis approach to bosonic strings and associated quantum fields (1992) (10)
Uniqueness and Global Markov Property for Euclidean Fields and Lattice Systems (1980) (10)
A covariant Feynman-Kac formula for unitary bundles over euclidean space (1989) (10)
Diffusions, quantum fields and groups of mappings (1982) (10)
Generalized poisson processes in quantum mechanics and field theory (1981) (9)
Some markov processes and markov fields in quantum theory, group theory, hydrodynamics and C*-algebras (1981) (9)
The scattering matrix for some non-polynomial interactions I (1972) (9)
Stochastic methods in quantum field theory and hydrodynamics (1981) (9)
Factoriality of Representations of the Group of Paths on SU(n) (1984) (8)
The schrödinger operator for a particle in a solid with deterministic and stochastic point interactions (1986) (8)
Some remarks on Dirichlet forms and their applications to quantum mechanics and statistical mechanics (1982) (7)
Uniqueness of Gibbs states for generalP(ϕ)2-weak coupling models by cluster expansion (1989) (7)
Brownian Motion, Markov Cosurfaces, Higgs Fields (1986) (7)
CANONICAL RELATIVISTIC QUANTUM FIELDS IN TWO SPACE-TIME DIMENSIONS (1975) (7)
The method of Dirichlet forms (1979) (7)
Local and global Markoff fields (1984) (6)
Path space measure for the liouville quantum field theory and the construction of relativistic strings (1986) (6)
Boson fields under a general class of local relativistic invariant interactions (1969) (6)
The global Markov property for euclidean and lattice fields (1979) (6)
THE SHORT-RANGE EXPANSION IN SOLID STATE (1983) (5)
The short-range expansion in solid state physics (1984) (5)
Scattering by impurities in a solvable model of a three‐dimensional crystal (1984) (5)
A probability measure for random surfaces of arbitrary genus and bosonic strings in 4 dimensions (1989) (5)
Reduction of non linear problems to Schrödinger or heat equations: Formation of kepler orbits, singular solutions for hydrodynamical equations (1984) (5)
A NUMERICAL METHOD FOR FIRST ORDER NONLINEAR SCALAR HYPERBOLIC CONSERVATION LAWS IN ONE DIMENSION (1986) (4)
Asymptotic series for the scattering operator and asymptotic unitarity of the space cut-off interactions (1973) (3)
The Riemann problem for a single conservation law in two space dimensions (1988) (3)
The One-Center δ’-Interaction in One Dimension (1988) (3)
CANONICAL QUANTUM FIELDS IN TWO SPACE-TIME DIMENSIONS (1976) (3)
Stationary Phase for the Feynman Integral and Trace Formula (1980) (3)
A remark on dynamical semigroups in terms of diffusion processes (1985) (2)
The resonance expansion for the Green's function of the Schrödinger and wave equations (1984) (2)
Remarks on the energy representation of Sobolev-Lie groups (1978) (2)
The reflection from a semi-infinite crystal of point scatterers (1983) (2)
The Feynman history integrals for the relativistic quantum boson field (1976) (1)
On The Universal Low Energy Limit in Nonrelativistic Scattering Theory (1981) (1)
The One-Center Point Interaction in Three Dimensions (1988) (1)
Coulomb Plus One-Center Point Interaction in Three Dimensions (1988) (0)
Random Hamiltonians with Point Interactions (1988) (0)
Infinitely Many δ’-Interactions in One Dimension (1988) (0)
The invariant quasi-free states (1976) (0)
The Feynman path integral in potential scattering (1976) (0)
FIELD HAMILTONIAN FOR COMPLEX COUPLING CONSTANT(l) (1972) (0)
Feynman path integrals for the anharmonic oscillator (1976) (0)
A Stochastic Model for Plasma Dynamics (1990) (0)
A NXN CLASS OF SYSTEMS OF HYPERBOLIC CONSERVATION LAWS (1986) (0)
A local relativistic Boson field with the λ|ϕ| interaction (1969) (0)
Infinitely Many Point Interactions in Three Dimensions (1988) (0)
The fresnel integral of functions on a separable real Hilbert space (1976) (0)
Expectations with respect to the ground state of the harmonic oscillator (1976) (0)
The fresnel integral relative to a non singular quadratic form (1976) (0)
Infinitely Many Point Interactions in Two Dimensions (1988) (0)

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