Leon Knopoff

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Leon Knopoff is affiliated with the following schools: California Institute of Technology, University of California, Los Angeles

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Leon Knopoff

Earth Sciences

#139

World Rank

#298

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#59

USA Rank

Geophysics

#21

World Rank

#34

Historical Rank

#12

USA Rank

earth-sciences Degrees

Leon Knopoff

Philosophy

#2521

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#4282

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#890

USA Rank

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#627

World Rank

#1110

Historical Rank

#236

USA Rank

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Earth Sciences
Philosophy

Leon Knopoff's Degrees

PhD Geophysics California Institute of Technology

Why Is Leon Knopoff Influential?

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According to Wikipedia, Leon Knopoff was an American geophysicist and musicologist. He received his education at Caltech, graduating in 1949 with a PhD in physics, and came to UCLA the following year. He served on the UCLA faculty for 60 years. His research interests spanned a wide variety of fields and included the physics and statistics of earthquakes, earthquake prediction, the interior structure of the Earth, plate tectonics, pattern recognition, non-linear earthquake dynamics and several other areas of solid Earth geophysics. He also made contributions to the fields of musical perception and archaeology.

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Leon Knopoff's Published Works

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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

Is the sequence of earthquakes in Southern California, with aftershocks removed, Poissonian? (1974) (1371)
Model and theoretical seismicity (1967) (1108)
Body Force Equivalents for Seismic Dislocations (1964) (593)
A matrix method for elastic wave problems (1964) (549)
The compensated linear‐vector dipole: A possible mechanism for deep earthquakes (1970) (415)
Spatial distribution of earthquakes: the two-point correlation function (1980) (344)
Fast Surface Wave and Free Mode Computations (1972) (293)
Energy Release in Earthquakes (1958) (267)
The interaction between elastic wave motions and a magnetic field in electrical conductors (1955) (264)
Observation and Inversion of Surface-Wave Dispersion (1972) (256)
Stochastic synthesis of earthquake catalogs (1981) (226)
Variations of Upper Mantle Structure under the Pacific Ocean (1974) (223)
Statistical Short-Term Earthquake Prediction (1987) (191)
Rank‐ordering statistics of extreme events: Application to the distribution of large earthquakes (1995) (184)
Pattern recognition applied to earthquake epicenters in California (1976) (168)
The acoustic component of western consonance (1978) (166)
Analysis of the theory of extremes as applied to earthquake problems (1977) (162)
Elastic Wave Velocities in Two-component Systems (1967) (151)
Statistical study of the occurrence of shallow earthquakes (1978) (149)
Attenuation of Small Amplitude Stress Waves in Solids (1958) (138)
Interpretation of Lg (1973) (138)
Climate change and the integrity of science. (2010) (137)
Increased long‐range intermediate‐magnitude earthquake activity prior to strong earthquakes in California (1996) (131)
Models of aftershock occurrence (1987) (131)
Structure of the crust and upper mantle in the ALPS from the phase velocity of Rayleigh waves (1966) (126)
Comments on the interrelationships between Grüneisen's parameter and shock and isothermal equations of state (1969) (124)
The magnitude distribution of declustered earthquakes in Southern California. (2000) (124)
Surface-wave dispersion computations (1970) (121)
Entropy as a Measure of Style: The Influence of Sample Length (1983) (120)
The paradox of the expected time until the next earthquake (1997) (120)
Scattering of Elastic Waves by Small Inhomogeneities (1964) (119)
The Structure of the Upper Mantle under the United States from the Dispersion of Rayleigh Waves (1974) (119)
Statistical search for non-random features of the seismicity of strong earthquakes (1976) (119)
The convection current hypothesis (1964) (117)
Bursts of aftershocks, long-term precursors of strong earthquakes (1980) (116)
Intermediate-term prediction of occurrence times of strong earthquakes (1988) (114)
Seismic scattering from topographic irregularities (1960) (110)
The compressional modulus of a material permeated by a random distribution of circular cracks (1973) (109)
Earth tides as a triggering mechanism for earthquakes (1964) (108)
Elastic moduli of a medium with liquid-filled cracks (1975) (101)
Shear-wave polarization anisotropy in the Pacific Basin (1977) (101)
Variations of Rayleigh Wave Phase Velocities across the Pacific Ocean (1974) (99)
b Values for foreshocks and aftershocks in real and simulated earthquake sequences (1982) (97)
Exact earth-flattening calculation for Love waves (1970) (96)
Earthquake risk prediction as a stochastic process (1977) (95)
Localized Amplification of Seismic Waves and Correlation with Damae due to the Northridge Earthquake: Evidence for Focusing in Santa Monica (1996) (91)
The shear modulus of a material permeated by a random distribution of free circular cracks (1975) (86)
Surface waves on multilayered anelastic media (1971) (86)
Structure of the upper mantle under the western Mediterranean basin (1967) (85)
The statistics of earthquakes in Southern California (1964) (85)
The Crust and Upper Mantle of the Pacific Area (1968) (84)
First motions from seismic sources (1960) (81)
Stress drop in earthquakes (1968) (80)
Observations of multiple seismic events (1964) (78)
Density-Velocity Relations for Rocks (1967) (78)
Higher Seismic Activity During Local Night on the Raw Worldwide Earthquake Catalogue (1972) (77)
The mechanism at the focus of deep earthquakes (1970) (76)
Apparent initial phase of a source of Rayleigh waves (1968) (75)
Transmission of Rayleigh waves past a step change in elevation (1965) (74)
The theory of finite strain and compressibility of solids (1963) (72)
Surface Motions of a Thick Plate (1958) (71)
Approximate Compressibility of Elements and Compounds (1965) (67)
Rayleigh wave phase velocities for the path Addis Ababa-Nairobi (1972) (66)
Bursts of seismicity as long‐term precursors of strong earthquakes (1980) (64)
Localized Amplification of Seismic Waves and Correlation with Damage Due to the Northridge Earthquake (1996) (62)
Phase velocities of Rayleigh waves across the East Pacific Rise (1970) (60)
Lunar–solar periodicities of large earthquakes in southern California (1983) (60)
Pseudo-Grüneisen Parameter for Liquids (1970) (59)
Multimode Surface Waves for Selected Focal Mechanisms I. Dip-Slip Sources on a Vertical Fault Plane (1973) (59)
A stochastic model for the occurrence of main-sequence earthquakes (1971) (58)
Reduction of shock‐wave equations of state to isothermal equations of state (1969) (57)
Transmission of Rayleigh waves at a corner (1966) (57)
Radiation from a strike-slip fault (1959) (56)
A model of foreshock occurrence (1989) (55)
SCATTERING OF COMPRESSION WAVES BY SPHERICAL OBSTACLES (1959) (54)
TRANSMISSION AND REFLECTION OF RAYLEIGH WAVES BY WEDGES (1960) (53)
Predicting the overall properties of composite materials with small-scale inclusions or cracks (1989) (52)
The Upper mantle (1972) (52)
Lithospheric Momenta and the Deceleration of the Earth (1972) (51)
The equivalent strength of geometrical barriers to earthquakes (1998) (51)
The first‐order statistical moment of the seismic moment tensor (1985) (51)
Upper-mantle structure under the Arabian peninsula☆ (1975) (51)
Transmission of Love waves past a continental margin (1964) (50)
Elastic moduli of two-component systems (1978) (46)
The upper mantle of the Earth. (1969) (46)
Transmission and reflection of surface waves at a corner: 3. Rayleigh waves (experimental) (1964) (45)
On Rayleigh wave velocities (1952) (45)
Frequency Dependence of Amplitudes of Scattered Elastic Waves (1967) (45)
SCATTERING OF SHEAR WAVES BY SPHERICAL OBSTACLES (1959) (45)
Transmission and reflection of surface waves at a corner: 2. Rayleigh waves (theoretical) (1964) (44)
Model for intermediate‐term precursory clustering of earthquakes (1992) (44)
Scattering of Impulsive Elastic Waves by a Rigid Cylinder (1959) (43)
Earthquake prediction: the scientific challenge. (1996) (43)
An Equation of State for the Core of the Earth (1960) (43)
Models for acoustic loss in solids (1960) (42)
First motions from seismic sources near a free surface (1964) (42)
Dependence of seismicity on depth (1980) (42)
Earthquake research in China (1975) (41)
Channel and Crustal Rayleigh Waves (1972) (41)
The seismic pulse in materials possessing solid friction, I: Plane waves (1956) (41)
The elastic modulus of media containing strongly interacting antiplane cracks (1995) (40)
Shear wave anisotropy in the upper mantle of the Pacific Basin (1976) (40)
The two-point correlation function of the seismic moment tensor (1985) (40)
DYNAMIC RESPONSE OF STRUCTURES. (1972) (39)
PHYSICS AND CHEMISTRY OF IRON AND POTASSIUM AT LOWER-MANTLE AND CORE PRESSURES (1977) (39)
SURFACE AMPLITUDES OF REFLECTED BODY WAVES (1957) (38)
Delineation of the North Central Italian upper mantle anomaly (1982) (37)
First Motion Methods in Theoretical Seismology (1959) (36)
Crack fusion dynamics: A model for large earthquakes (1982) (35)
Diffraction of Elastic Waves (1956) (35)
THE DIRECTIVITY PROBLEM FOR A BURIED LINE SOURCE (1961) (34)
Information Theory for Musical Continua (1981) (34)
The significance of the acoustic component of consonance in Western triads (1979) (34)
Statistical properties of Rayleigh waves due to scattering by topography (1967) (34)
Intermediate‐term prediction in advance of the Loma Prieta Earthquake (1990) (33)
Dispersion of very long‐period rayleigh waves along the East Pacific Rise: Evidence for S wave velocity anomalies to 450 km depth (1982) (33)
Diffraction of elastic waves by the core of the Earth (1961) (32)
Attenuation of Elastic Waves in the Earth (1965) (31)
The densities of compounds at high pressures and the state of the Earth's interior (1954) (31)
Resolution oi Upper Mantle Structure Using Higher Modes of Rayleigh Waves ( (1977) (31)
The thickness of the lithosphere from the dispersion of surface waves (1983) (30)
A model for repetitive cycles of large earthquakes (1983) (30)
Tripartite phase velocity observations in laterally heterogeneous regions (1967) (29)
Green's function for eigenvalue problems and the inversion of Love wave dispersion data (1937) (29)
Evaluation of Lg as a Discriminant among Different Continental Crustal Structures (1974) (29)
Teleseismic Sn: a guided wave in the mantle (1977) (26)
Phase velocity of surface waves in the transition zone of continental margins: 1. Love waves (1967) (25)
A search for the oceanic Lg phase (1979) (25)
Continental Drift and Convection (2013) (24)
Interpretation of Sa for a Shield Structure (1974) (24)
Model of earthquake recurrence: Role of elastic wave radiation, relaxation of friction, and inhomogeneity (1995) (23)
Static shear crack with a zone of slip-weakening (1986) (23)
The organization of seismicity on fault networks. (1996) (23)
Electronic structure of iron and models of the Earth's core (1976) (23)
Analytical calculation of the fault-plane problem (1961) (22)
DIFFRACTION OF VECTOR ELASTIC WAVES BY A CLAMPED FINITE STRIP. (1964) (22)
Numerical Instability at the Edge of a Dynamic Fracture (2001) (21)
Love waves and the torsional free modes of a multilayered anelastic sphere (1973) (21)
Phase and group slownesses in inhomogeneous media (1969) (20)
DIFFRACTION OF SCALAR ELASTIC WAVES BY A FINITE CRACK. (1964) (20)
Crack fusion as a model for repetitive seismicity (1983) (20)
Attenuation of elastic waves in a cracked, fluid-saturated solid (1980) (20)
Propagation of shock waves in one‐dimensional crystal lattices (1980) (20)
Wave propagation in a medium with a single layer (1960) (19)
A differential equation for surface waves in layers with varying thickness (1968) (19)
Earthquake Prediction: Modeling the Anomalous Vp/Vs Source Region (1975) (19)
Inversion of phase and group slowness dispersion (1970) (19)
The effect of initial stress or residual stress on elastic energy calculations (1966) (19)
Attenuation of dispersed waves (1964) (18)
Scale invariance in brittle fracture and the dynamics of crack fusion (1990) (18)
Simulation of earthquake sequences (1987) (18)
Inversion of surface-wave phase velocities for an anisotropic structure (1978) (18)
Single-Couple Component of Far-Field Radiation from Dynamical Fractures (2009) (17)
Statistical accuracy of the fault-plane problem (1961) (17)
Earthquake prediction is difficult but not impossible (1999) (17)
Correlation of earthquakes with lunar orbital motions (1970) (17)
Homogeneous catalogs of earthquakes. (1969) (17)
Long‐term premonitory seismicity patterns in Tibet and the Himalayas (1980) (17)
Observations of load tides at the South Pole (1989) (16)
Age of East Antarctica from surface wave dispersion (1978) (16)
Attenuation of surface waves in a granular material (1963) (16)
A selective phenomenology of the seismicity of Southern California. (1996) (15)
Upper-mantle structure of north-central italy from the dispersion of Rayleigh waves (1979) (15)
Seismic wave velocities in westerly granite (1954) (15)
Model seismicity: Rupture parameters, stress, and energy relations (1968) (14)
Spectral analysis of gapped data: Search for mode 1 S 1 at the South Pole (1984) (14)
Long-period gravity tides at the South Pole (1979) (14)
Rayleigh wave phase velocities and upper mantle structure in the Apennines (1976) (14)
An index of melodic activity (1978) (13)
Transmission and Reflection of Surface Waves at a Corner, 1, Love Waves (1964) (13)
On the Dissipative Viscoelastic Constants of Higher Order (1954) (13)
Unilateral extension of a two-dimensional shear crack under the influence of cohesive forces (1982) (13)
Love waves from a line SH source (1958) (13)
Diffraction of elastic waves by a rigid circular disc (1968) (13)
The seismic pulse in materials possessing solid friction, II: Lamb's problem (1959) (12)
Eartkquake Death Tolls (1995) (12)
DIFFRACTION OF VECTOR ELASTIC WAVES BY A FINITE CRACK. (1964) (12)
Sir Harold Jeffreys: The Earth: Its Origin, History, and Physical Constitution (1991) (12)
The Dynamics of a one-dimensional Fault in the Presence of Friction (2009) (11)
Causality constraint for fractures with linear slip weakening (2000) (11)
Spontaneous growth and autonomous contraction of a two-dimensional earthquake fault (1987) (11)
Gravity Observations of the Dead Sea Rift (1966) (11)
Bilateral propagation of a spontaneous two-dimensional anti-plane shear crack under the influence of cohesion (1983) (11)
Persistence and Quiescence of Seismicity on Fault Systems (1999) (10)
FIELD OF AN ALTERNATING MAGNETIC DIPOLE ON THE SURFACE OF A LAYERED EARTH (1959) (10)
Long‐period lunar tides at the South Pole (1982) (10)
A magnitude-energy relation for large earthquakes (1969) (10)
Observation of Rayleigh wave dispersion at very long periods (1976) (10)
The dipping antiplane crack (1991) (10)
The Nature of the Earthquake Source (1981) (9)
Generation of complete theoretical seismograms for SH–III (1977) (9)
A Stochastic Analysis of a Model Earthquake Sequence (1972) (9)
Drift of Continental Rafts with Asymmetric Heating (1972) (8)
Signal Generated Seismic Noise (1966) (8)
A property of long-period Love waves (1970) (8)
The elastic modulus, percolation, and disaggregation of strongly interacting, intersecting antiplane cracks (2009) (8)
The reflection of Rayleigh waves by a high impedance obstacle on a half-space (1960) (8)
DIFFRACTION OF SCALAR ELASTIC WAVES BY A CLAMPED FINITE STRIP. (1964) (7)
Higher Order Born Approximations for the Inversion of Love Wave Dispersion (1962) (7)
The Clustering of Temporal Elements in Melody (1987) (7)
Analytical calculation of the seismic travel‐time problem (1965) (7)
The Magnetic Field and the Central Core of the Earth (1958) (6)
Q of Mode 0S0 (1979) (6)
Velocity of sound in two-component systems (1959) (6)
Models of continental drift. (1970) (6)
Small three-dimensional seismic models (1955) (6)
Theory of the drift of asymmetrically-heated lithospheric plates☆ (1976) (6)
Dynamics of a one-dimensional crack with variable friction (1981) (5)
The inner Earth. (1976) (5)
Observations of sidereal motions of the Earth's surface (1980) (5)
The attentuation of compression waves in lossy media (1956) (5)
Observation of 18.6‐year modulation tide at the South Pole (1982) (5)
Crack breakout dynamics (1990) (5)
Seismic Strong Motion Synthetics (1987) (5)
The quasistatic extension of a shear crack in a viscoelastic medium (1986) (4)
Equation of State for Water at High Pressure (1958) (4)
DIFFRACTION OF SCALAR ELASTIC WAVES BY A (1964) (4)
A note on L1-approximations by exponential polynomials and Laguerre exponential polynomials☆ (1972) (4)
THE ENERGY RATE-DEPTH FUNCTION FOR EARTHQUAKES. (1964) (4)
Advances in earth science: edited by P. M. Hurley. 502 pages, diagrams, illustrations, 6 × 9 in. Cambridge, M.I.T. Press, 1966. Price, $20.00 (1966) (4)
Geophysical Journal (1973) (4)
Grüneisen Parameter for Born-von Kármán Lattices (1970) (4)
Multimode Surface Waves for Selected Focal Mechanisms—II. Dip‐Slip Sources* (2007) (4)
High precision measurement of the frequency of Mode 0S0 (1980) (3)
Regionalization of the Arctic Region, Siberia and Eurasian Continental Area (1977) (3)
Magnitude studies from ultra‐long‐period records (1977) (3)
An Index for the Relative Quality among Musical Instruments (1963) (3)
A physical basis for earthquake statistics (1969) (3)
The nature of seismic noise (1966) (3)
Theoretical and Model Seismicity (1966) (3)
Do epicentres migrate on the San Andreas Fault? (1975) (3)
Scale Invariance of Earthquakes (1997) (3)
Variations of period and Q of free oscillations due to mode overlap (1983) (3)
Can One Determine Seismic Focal Parameters from the Far-Field Radiation? (2007) (2)
Rotational Seismology and Engineering Applications:Proceedings for the First International WorkshopMenlo Park, California, U.S.A.—September 18 to 19, 2007 (2007) (2)
Horizontal Convection in the Earth's Mantle: A Mechanism for Strike-Slip Faulting. (1963) (2)
Reply [to “Comment on ‘Elastic moduli of two-component systems’”] (1979) (2)
Fracture dynamics of fusion of two anti-plane cracks. (1985) (2)
A 98-station seismic array to record aftershocks of the 1994 Northridge, California, earthquake (1996) (2)
The Phenomenology of Earthquake Occurrence (1990) (2)
Noncausality of numerical models of dynamic fracture growth (1997) (2)
Physical Acoustics. (Book Reviews: The Acoustical Foundations of Music) (1969) (1)
The triggering of large earthquakes by Earth tides (1969) (1)
An Invariant form for the Fusion Equation (1964) (1)
Research Note Interpretation of Sa for a Shield Structure (1974) (1)
Geophysical Constraints on Geodynamic Models--Summary (1974) (1)
Frictional Sliding , Shock Waves and Granular Rotations (2000) (1)
Instability in a delay-PDE model of earthquake occurrence (1991) (1)
Dynamical model of faulting in two dimensions and self-healing of large fractures. (2012) (1)
Memorial to Louis Byrne Slichter (1896-1978) (1979) (1)
The Acoustical Foundations of Music. John Backus. Norton. New York, 1969. xiv + 314 pp., illus. $7.95 (1969) (1)
On Convection in the Upper Mantle (2010) (1)
Significance and Achievements of the Upper Mantle Project (1972) (1)
Instabilities in continuous media (1985) (1)
William Bowie medal to Edward Bullard (1975) (1)
Comment on ‘migration of historical earthquakes in California’ by C.-Y. King and Z. Ma (1990) (1)
SURFACE WAVES IN LATERALLY INHOMOGENEOUS REGIONS (1970) (0)
OBSERVATIONS OF M U L T I P L E SEISMIC EVENTS BY W. L. PILANT AND L. KNOPOFF (2005) (0)
A search for the oceanic Eg phase (2006) (0)
A selective phenomenology of the seismicity of (2016) (0)
Some Technological Advances in Musical Analysis (1965) (0)
Obituary - Slichter, Louis-Byrne (1980) (0)
Physical Acoustics: The Acoustical Foundations of Music . John Backus. Norton. New York, 1969. xiv + 314 pp., illus. $7.95. (1969) (0)
Earthquake mechanisms: Seismicity at Mammoth Lakes (1983) (0)
THEORETICAL AND EXPERIMENTAL STUDIES OF SEISMIC WAVES IN GEOMETRICALLY AND PHYSICALLY HETEROGENEOUS REGIONS OF THE EARTH. (1965) (0)
A 98-Station Seismic Array to Record Aftershocks of the 1994 Northridge Earthquake (1996) (0)
Introduction to elastic wave propagation (1995) (0)
FRACTURE PROPAGATION: FROM TIME TO ENSEMBLE AVERAGES AND BACK AGAIN (1991) (0)
Comparison of Seismic Approaches for Strong Ground Motion Prediction Using Weak Motion Data (1996) (0)
2. The Seismic Diffraction Forward Problem (2016) (0)
Structure of the low-velocity channel and its relationship to large-scale tectonics (1969) (0)
following papers , which were presented at a colloquium entitled " Earthquake Prediction : The Scientific Challenge , " organized by Leon Knopoff ( Chair ) (2005) (0)
The Modeling of Earthquake Occurrence (1990) (0)
Does the Moment Release at the Start of a Rupture Indicate its Ultimate Size (2006) (0)
Self-Organization and the Development of Pattern: Implications for Earthquake Prediction* (2016) (0)
Dynamic Dissipative Fractures on Topographically Irregular Surfaces (2001) (0)
This paper was presented at a colloquium entitled "Earthquake Prediction: The Scientific Challenge," organized by (2016) (0)
Pan‐American Symposium on the Upper Mantle (1968) (0)
Spontaneous growth of an in-plane shear crack (1984) (0)
The Inner Earth: The Earth's Core . J. A. Jacobs. Academic Press, New York, 1975. viii, 254 pp., illus. $22. International Geophysics Series, vol. 20. (1976) (0)
Haskell's Seismic Source Theory (2013) (0)
Assuming the mantle of soothsayer (1976) (0)
1890 BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA Our sources are arbitrarily oriented dislocations of the type that occur in models of earthquakes (2005) (0)
Diffraction Problems in Elastic Wave Propagation in Solids (1955) (0)
Walter H. Bucher Medal to David T. Griggs (1970) (0)
Physics of the Earth (1970) (0)
Rayleigh Waves Without Cubic Equations (2013) (0)
Gordon J.F. MacDonald (1929–2002) (2003) (0)
A Compiler for Algebraic Manipulations with Applications to Geophysics (1968) (0)
Intermediate-term earthquake prediction (1990) (0)
Fracture of a Liquefied Crack and the Physics of Rayleigh Waves (2006) (0)
Model of Dynamical Slip Events and the Generation of Propagating Slip Pulses (2003) (0)
Regionalization of the Arctic Region, Siberia, and the Eurasian Continental Area Using Seismic Surface Waves (1977) (0)
Seismic properties of a Plane Lubricated Crack (1957) (0)
Earthquake recurrence intervals at nuclear power plants: analysis and ranking (1985) (0)
Author Index to Volume 228, April-June 1985 (1985) (0)
Upper mantle project (1966) (0)
Abstracts of Papers Presented at the Annual Meeting of the National Academy of Sciences (USA), Washington, D.C., 23-25 April 1973 (1973) (0)
Attenuation of Seismic Waves in the Near-Source Region (1989) (0)
Reply [to “Comment on ‘The elastic modulus of media containing strongly interacting antiplane cracks’ by Paul M. Davis and Leon Knopoff”] (1996) (0)
Upper Mantle Project: Phase III , 1968–1970 (1967) (0)
Attenuation of Seismic Waves in the Mantle (2013) (0)
Lamb's Problem with Internal Viscosity (1953) (0)
Attenuation of Seismic Waves in the Mantle: ABSTRACT (1965) (0)

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Published Works

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What Schools Are Affiliated With Leon Knopoff?

Leon Knopoff's AcademicInfluence.com Rankings