Lawrence Sirovich

Lawrence Sirovich's AcademicInfluence.com Rankings

Lawrence Sirovich

Mathematics

#4148

World Rank

#5955

Historical Rank

#1461

USA Rank

Applied Mathematics

#74

World Rank

#86

Historical Rank

#38

USA Rank

Measure Theory

#419

World Rank

#605

Historical Rank

#177

USA Rank

mathematics Degrees

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Mathematics

Why Is Lawrence Sirovich Influential?

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According to Wikipedia, Lawrence Sirovich is mathematical scientist whose research includes, among other topics, applied mathematics, neuroscience and physics. He is recognized as the pioneer behind modern face recognition, and is known for eigenfaces, the method of snapshots, low dimensional dynamical systems, analysis of the US Supreme Court, neuronal population dynamics, and the faithful copy neuron.

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Lawrence Sirovich'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

Turbulence and the dynamics of coherent structures. I. Coherent structures (1987) (4836)
Application of the Karhunen-Loeve Procedure for the Characterization of Human Faces (1990) (2904)
Low-dimensional procedure for the characterization of human faces. (1987) (2674)
Turbulence and the dynamics of coherent structures. II. Symmetries and transformations (1987) (1460)
Modeling a no-slip flow boundary with an external force field (1993) (1123)
TURBULENCE AND THE DYNAMICS OF COHERENT STRUCTURES PART (2016) (863)
Karhunen–Loève procedure for gappy data (1995) (696)
Turbulence and the dynamics of coherent structures. III. Dynamics and scaling (1987) (559)
Large‐scale species delimitation method for hyperdiverse groups (2012) (264)
Direct numerical simulation of turbulent flow over a modeled riblet covered surface (1995) (255)
On the Simulation of Large Populations of Neurons (2004) (253)
Chaotic dynamics of coherent structures (1989) (225)
Low-dimensional description of free-shear-flow coherent structures and their dynamical behaviour (1994) (178)
Turbulent drag reduction by passive mechanisms (1997) (152)
Coherent structures and chaos: A model problem (1987) (142)
Management and Analysis of Large Scientific Datasets (1992) (139)
Techniques of Asymptotic Analysis (1971) (126)
Plane waves and structures in turbulent channel flow (1990) (118)
Trends and perspectives in applied mathematics (1994) (114)
Equations for Gas Mixtures (1967) (111)
Representation of spatial frequency and orientation in the visual cortex. (1998) (111)
Dynamics of Neuronal Populations: The Equilibrium Solution (2000) (108)
The global dimensionality of face space (2000) (103)
A Population Study of Integrate-and-Fire-or-Burst Neurons (2002) (96)
The use of the Karhunen-Loegve procedure for the calculation of linear Eigenfunctions (1991) (96)
Propagation of Forced Sound Waves in Rarefied Gasdynamics (1965) (91)
Turbulent thermal convection in a finite domain: Part I. Theory (1990) (87)
An investigation of chaotic Kolmogorov flows (1990) (86)
Wavelet analysis of the turbulent jet (1990) (84)
An eigenfunction approach to large scale transitional structures in jet flow (1990) (84)
The Approach of a Neuron Population Firing Rate to a New Equilibrium: An Exact Theoretical Result (2000) (75)
A computational study of Rayleigh–Bénard convection. Part 1. Rayleigh-number scaling (1991) (75)
Survival and apoptotic pathways initiated by TNF‐α: Modeling and predictions (2007) (74)
A computational study of Rayleigh–Bénard convection. Part 2. Dimension considerations (1991) (74)
Propagating structures in wall-bounded turbulent flows (1991) (73)
Turbulent thermal convection in a finite domain: Part II. Numerical results (1990) (73)
Coherence and chaos in a model of turbulent boundary layer (1992) (71)
Low-dimensional dynamics for the complex Ginzburg-Landau equation (1990) (70)
The Karhunen–Loéve decomposition of minimal channel flow (1997) (69)
On the Dimensionality of Face Space (2007) (60)
Kinetic Modeling of Gas Mixtures (2011) (60)
Empirical and Stokes eigenfunctions and the far‐dissipative turbulent spectrum (1990) (58)
A pattern analysis of the second Rehnquist U.S. Supreme Court (2003) (56)
The organization of orientation and spatial frequency in primary visual cortex. (2004) (54)
Empirical Eigenfunctions and Low Dimensional Systems (1991) (53)
A proper orthogonal decomposition of a simulated supersonic shear layer (1990) (52)
Analysis of turbulent flows by means of the empirical eigenfunctions (1991) (51)
Optimal low-dimensional dynamical approximations (1990) (50)
Symmetry, probability, and recognition in face space (2009) (48)
Drag reduction in turbulent channel flow by phase randomization (1993) (46)
Equivalence classes of visual stimuli (1978) (44)
Perspectives and problems in no[n]linear science : a celebratory volume in honor of Lawrence Sirovich (2003) (43)
Instabilities of the Ginzburg-Landau equation: periodic solutions (1986) (42)
Dynamics of neural populations: Stability and synchrony (2006) (41)
A Principal Components-Based Method for the Detection of Neuronal Activity Maps: Application to Optical Imaging (2000) (41)
Initial and Boundary Value Problems in Dissipative Gas Dynamics (1967) (41)
LOW DIMENSIONAL DESCRIPTION OF COMPLICATED PHENOMENA (1988) (40)
Quantification of mixing and mixing rate from experimental observations (1995) (39)
Probability distribution functions in turbulent convection (1991) (38)
Modeling the functional organization of the visual cortex (1996) (38)
Dynamics of neuronal populations: eigenfunction theory; some solvable cases (2003) (38)
Periodic solutions of the Ginzburg-Landau equation (1986) (37)
Two boundary value problems for the Ginzburg-Landau equation (1990) (36)
Spatiotemporal analysis of optical imaging data (2003) (32)
Survival and apoptotic pathways initiated by TNF-alpha: modeling and predictions. (2007) (32)
Dispersion Relations in Rarefied Gas Dynamics (1963) (31)
Spectrum of Density Fluctuations in Gases (1968) (31)
A population approach to cortical dynamics with an application to orientation tuning (2000) (31)
Extensions to Karhunen-Loève based approximation of complicated phenomena (1998) (31)
Simulations of turbulent thermal convection (1989) (31)
An eigenfunction analysis of axisymmetric jet flow (1990) (31)
Separating spatially distributed response to stimulation from background. I. Optical imaging (1997) (30)
An empirical eigenfunction analysis of sea surface temperatures in the western North Atlantic (1997) (29)
On Low-Dimensional Modeling of Channel Turbulence (1999) (29)
Instabilities of the Ginzburg-Landau equation. II. Secondary bifurcation (1986) (29)
A Scalable Method for Analysis and Display of DNA Sequences (2009) (28)
The Karhunen-lo Eve Procedure for Gappy Data (1995) (25)
Universality of probability density functions in turbulent channel flow (1995) (24)
Reply to ‘‘Observations regarding ‘Coherence and chaos in a model of turbulent boundary layer’ by X. Zhou and L. Sirovich [Phys. Fluids A 4, 2855 (1992)]’’ (1994) (24)
Structural Analysis of Biodiversity (2010) (23)
Wave Propagation and Other Spectral Problems in Kinetic Theory (1969) (23)
Phenomenological theory of probability distributions in turbulence (1990) (22)
Extraction of the average and differential dynamical response in stimulus-locked experimental data (2005) (21)
Energy dynamics in a turbulent channel flow using the Karhunen‐Loéve approach (2002) (20)
A simple model of chaotic advection and scattering. (1995) (20)
Steady Gasdynamic Flows (1968) (20)
On the eigentheory of operators which exhibit a slow variation (1981) (19)
Eigenfunction analysis of turbulent mixing phenomena (1991) (19)
Microflows and Nanoflows (2005) (19)
New Perspectives in Turbulence (2011) (18)
Empirical eigenfunction analysis of sea surface temperatures in the Western North Atlantic (1997) (18)
Formal and Asymptotic Solutions in Kinetic Theory (1963) (18)
The Karman vortex trail and flow behind a circular cylinder (1985) (17)
Introduction to Applied Mathematics (1988) (15)
Populations of Tightly Coupled Neurons: The RGC/LGN System (2008) (14)
Mixtures of Maxwell Molecules (1966) (14)
Nonlinear effects in steady supersonic dissipative gasdynamics. Part 2. Three-dimensional axisymmetric flow (1973) (14)
Spiking Neurons and the First Passage Problem (2011) (13)
Simple Fluids in Nanochannels (2005) (13)
Analysis Methods for Optical Imaging (2001) (13)
On the streak spacing and vortex roll size in a turbulent channel flow (1995) (12)
Modeling a large population of traders: Mimesis and stability☆ (2006) (12)
A novel method for simulating the complex Ginzburg-Landau equation (1995) (12)
An inverse method for subcritical flows (1986) (12)
Contributions to the Eigenvalue Problem for Slowly Varying Operators (1982) (12)
Equations for Gas Mixtures. II (1969) (12)
Nonlinear vortex trail dynamics (1988) (11)
Evolution of finite disturbances in dissipative gasdynamics (1973) (11)
Effect of boundaries on the response of a neural network. (1979) (11)
The eigenfunction problem in higher dimensions: Asymptotic theory. (1985) (11)
Boundary‐Value Problems in Compressible Magnetohydrodynamics (1967) (11)
Extraction of periodic multivariate signals: mapping of voltage-dependent dye fluorescence in the mouse heart (2003) (10)
Approximate and exact numerical computation of supersonic flow over an airfoil (1981) (10)
Kinetic Description of the Propagation of Plane Sound Waves in a Diatomic Gas (1969) (10)
Kinetic Theory Analysis of Light Scattering in Gases (1968) (10)
The Wigner Transform and Some Exact Properties of Linear Operators (1982) (10)
Differentiation and Integration (1988) (9)
Governing Equations and Slip Models (2005) (9)
The structure of shock-waves in gas mixtures (1969) (9)
Hydrodynamic stability of Rayleigh-Bénard convection with constant heat flux boundary condition (1991) (9)
Plane Wave Propagation in Kinetic Theory (1967) (9)
Applications of the Fourier Transform (2005) (9)
SOUND PROPAGATION ACCORDING TO THE KINETIC THEORY OF GASES (1963) (8)
Boundary Effects in Neural Networks (1980) (8)
On subthreshold solutions of the Hodgkin-Huxley equations. (1977) (8)
Comparison of Theory and Experiment for Forced Sound‐Wave Propagation in Rarefied Gasdynamics: Reply to “Comments on ‘Propagation of Forced Sound Waves in Rarefied Gasdynamics’” [G. Maidanik and H. L. Fox, J. Acoust. Soc. Am. 38, 477–478(L) (1965)] (1965) (8)
Computation and analysis of a cylinder wake flow (1987) (7)
Wave propagation on the von Karman trail (1986) (7)
Approximate solution in gasdynamics (1980) (6)
The faithful copy neuron (2012) (6)
Structure of Three‐Dimensional Supersonic and Hypersonic Flow (1970) (6)
The eigenfunction problem in higher dimensions: Exact results. (1986) (6)
Supersonic flight in a stratified sheared atmosphere (1974) (6)
Treatment of nerve impulse data for comparison with theory. (1979) (5)
The one-dimensional complex Ginzburg-Landau equation in the low dissipation limit (1994) (5)
The Sound Wave Boundary Value Problem in Kinetic Theory. I (1971) (5)
The inverse problem for supersonic airfoils (1984) (5)
Exact and approximate gas dynamics using the tangent gas (1986) (5)
Numerical integration of the gasdynamic equations (1980) (5)
Approximate Method in Kinetic Theory. Couette Flow and the Kramers Problem (1969) (5)
On some mathematical techniques for the analysis of visual spectral sensitivities. (1977) (5)
Basic Concepts and Technologies (2005) (4)
Characteristic patterns of an inhomogeneous imaging system with an application to vision. (1986) (4)
Spectral characteristics of the seismic hazard between the alps and the dinarides (1994) (4)
Generalized Normal Solutions of the Boltzmann Equation (1963) (4)
A novel analysis of gene array data: yeast cell cycle (2020) (4)
Simple waves and the transonic similarity parameter (1976) (4)
Genomic Data and Disease Forecasting: Application to Type 2 Diabetes (T2D) (2014) (3)
Asymptotic Evaluation of Multidimensional Integrals (1970) (3)
On some aspects of the transonic controversy (1987) (3)
ON SOME MATHEMATICAL ASPECTS OF KINETIC MODEL EQUATIONS (1967) (3)
Erratum: “The Karhunen–Lóeve decomposition of minimal channel flow” [Phys. Fluids 9, 1054 (1997)] (1997) (3)
Validation of a Kinematic Semi Empirical Approach to Calculate Seismic Hazard Scenarios (2004) (3)
Effect of the Collision Frequency on Boundary Value Problems in Kinetic Theory (1970) (2)
A new Kinematic Approach to Calculate Seismic Hazard Scenarios (Intensity and Peak Ground Displacement); an Example in SE Sicily (2007) (2)
Shear-Driven Flows (2005) (2)
Dissipative magnetogasdynamic flow (1968) (2)
Bounded and unbounded solutions of the von Karman vortex trail (1989) (2)
Introduction to Partial Differential Equations (2005) (2)
Effect of Molecular Collision Frequency on Solutions of the Linearized Boltzmann Equation (1971) (2)
Numerical Methods for Continuum Simulation (2005) (2)
Problems in fluid dynamics (1988) (2)
Asymptotic Sequences and the Asymptotic Development of a Function (1971) (2)
Non-linear effects in steady supersonic dissipative gasdynamics Part 1. Two-dimensional flow (1971) (2)
Dynamics of Neuronal Populations: Eigenfunction Theory, Part 1, Some Solvable Cases (2002) (2)
Pressure-Driven Flows (2005) (2)
Free shear flow coherent structures in a low-dimensional eigenfunction space (1993) (1)
On the structure of dissipative waves in two and three dimensions (1971) (1)
Water in Nanochannels (2005) (1)
Fourier Series and Applications (1988) (1)
Electroosmotic Flow in Nanochannels (2005) (1)
Nonlinear vortex trail dynamics. II. Analytic solutions (1993) (1)
Errata: Kinetic Modeling of Gas Mixtures (1963) (1)
Kinetic theory of suction flow (1973) (1)
ON THE STRUCTURE OF WAKES AND WAVES. I . DEVELOPMENT OF INITIAL DISTURBANCES IN A NAVIER-STOKES FLUID. (1964) (1)
Comparison of Experiment with the Dynamics of the von Karman Vortex Trail (1987) (1)
On low-dimensional modeling of channel turbulence (1998) (1)
Spatiotemporal chaos in the complex ginzburg-landau equation and other studies in nonlinear dynamics (1993) (1)
Finite Difference Schemes for the Heat Equation (2005) (1)
The Asymptotic Development of a Function Defined by an Integral (1971) (1)
Mixers and Chaotic Advection (2005) (1)
L 2 DE-GAUSSIANIZATION AND INDEPENDENT COMPONENT ANALYSIS (2003) (1)
A new structural approach to genomic discovery of disease: example of adult-onset diabetes (2016) (1)
Spectral characteristics of the seismic hazard between the Alps and the Dinarides : Soil Dynamics & Earthquake Engineering, 13 (3), 1994, pp 213–217 (1994) (0)
ICASE Report No . 90-50 0 ICASE t 1 N N AN INVESTIGATION OF CHAOTIC KOLMOGOROV FLOWS (0)
THE BOUNDARY VALUE PROBLEM IN COMPRESSIBLE MAGNETO-HYDRODYNAMICS. (1966) (0)
DISSIPATIVE WAVE PROPAGATION IN COMPRESSIBLE MAGNETOHYDRODYNAMICS. (1967) (0)
Measurements of Skin Friction in Channel Flow (1999) (0)
Fluid Dynamics On Low-Dimensional Modeling of Channel Turbulence 1 (1999) (0)
Reordering the reference case structure matrices for T2D on top, and for controls bottom. (2014) (0)
Functional Fluids and Functionalized Nanotubes (2005) (0)
An EOF study of the Earth’s ozone field (2008) (0)
Optical Imaging: A Review (2000) (0)
Approximate and exact numerical integration of the gas dynamic equations (1979) (0)
Partial Differential Equations (Continued) (1988) (0)
Multiscale Modeling of Liquid Flows (2005) (0)
Coherent Gene Assemblies: Example, Yeast Cell Division Cycle, CDC (2021) (0)
Reduced-Order Modeling (2005) (0)
Poisson's Equation in Two Space Dimensions (2005) (0)
Thermal Effects in Microscales (2005) (0)
Class of Exact Solutions in Nonlinear Kinetic Theory (1965) (0)
DE-GAUSSIANIZATION AND INDEPENDENT COMPONENT ANALYSIS (2002) (0)
The Heat Equation Revisited (2005) (0)
Management of Cyclonic Activity (2021) (0)
TASK 1 – SCENARI - DELIVERABLES D2 INNOVATIVE APPROACHES TO PREDIC SEISMIC GROUND MOTION (2007) (0)
Partial Differential Equations (1988) (0)
Supersonic inviscid flow—a three-dimensional characteristics approach (1987) (0)
Apparatus and method for controlling the formation of a vortex flow field boundary layer (1992) (0)
Discrete Linear Systems (1988) (0)
NEW SEISMIC HAZARD SCENARIOS BY THE KF APPROACH (2005) (0)
Convergence and Limit (1988) (0)
Probabilistic Reasoning in Data Analysis (2011) (0)
The Contrast Dependence of the Intrinsic Optical Signal in the Cat Visual Cortex (2002) (0)
Multiscale Modeling of Gas Flows (2005) (0)
State of the art in seismic microzonation, advances in Italy from 1980 to the present (1993) (0)
A method for controlling the formation of vortices in the boundary layers and other wall Middle River fields (1995) (0)
A new structural approach to genomic discovery of disease: example of adult-onset diabetes (2016) (0)
New Techniques in Computational Aerodynamics. (1987) (0)
Surface Tension-Driven Flows (2005) (0)
Geometry of face space (2007) (0)
Prototype Applications of Gas Flows (2005) (0)
On the Kinetic Theory of Steady Gas Flows (2015) (0)
ICASE AN INVESTIGATION OF CHAOTIC KOLMOGOROV FLOWS (0)
Spaces of Functions (1988) (0)
ON THE PROPAGATION OF FREE SOUNDWAVES IN RAREFIED GASDYNAMICS (1964) (0)
Two-scale eigenfunction methods with an application to the visual system (1987) (0)
Scores reordered according to Figure 4. (2014) (0)
Analysis, Repair, and Management of the Total Ozone Mapping Spectrometer Database (1997) (0)
Mitigation of Cyclonic Activity (2020) (0)
Reduced-Order Simulation (2005) (0)
The Fourier and Laplace Transforms (2022) (0)
Linear Ordinary Differential Equations (1971) (0)
Ginzburg-Landau Equation: Stability and Bifurcations (1987) (0)
The faithful copy neuron (2012) (0)
Two‐Point Boundary Value Problems (2020) (0)
The Genomic Prediction of Disease: Example of type 2 diabetes (T2D) (2018) (0)
A Karhunen Loeve analysis of episodic phenomena (1998) (0)
Can a Hurricane Be Managed (2020) (0)
Convergence of Fourier Series (2005) (0)
The Wave Equation (2000) (0)
Orthogonality and General Fourier Series (2005) (0)
The Initial Value Problem, Sound Propagation, and Modeling in Kinetic Theory (2015) (0)

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