Henry McKean
#6,804
Most Influential Person Now
American mathematician at New York University
Henry McKean's AcademicInfluence.com Rankings
Henry McKeanmathematics Degrees
Mathematics
#750
World Rank
#1357
Historical Rank
#327
USA Rank
Measure Theory
#623
World Rank
#856
Historical Rank
#253
USA Rank
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Mathematics
Henry McKean's Degrees
- PhD Mathematics Princeton University
Why Is Henry McKean Influential?
(Suggest an Edit or Addition)According to Wikipedia, Henry P. McKean, Jr. is an American mathematician at the Courant Institute in New York University. He works in various areas of analysis. He obtained his PhD in 1955 from Princeton University under William Feller.
Henry McKean'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
- Diffusion processes and their sample paths (1996) (2042)
- Curvature and the Eigenvalues of the Laplacian (1967) (859)
- A shallow water equation on the circle (1999) (625)
- Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov (1975) (547)
- The spectrum of Hill's equation (1975) (524)
- A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS (1966) (513)
- Rational and elliptic solutions of the korteweg‐de vries equation and a related many‐body problem (1977) (512)
- Gaussian processes, function theory, and the inverse spectral problem (1976) (485)
- Nagumo's equation (1970) (462)
- Fourier series and integrals (1972) (408)
- Hill’s Operator and Hyperelliptic Function Theory in the Presence of Infinitely Many Branch Points (1976) (392)
- Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas (1966) (273)
- Selberg's trace formula as applied to a compact riemann surface (1972) (255)
- An upper bound to the spectrum of $\Delta $ on a manifold of negative curvature (1970) (202)
- Elementary solutions for certain parabolic partial differential equations (1956) (188)
- Integrable systems and algebraic curves (1979) (164)
- An exponential formula for solving Boltzmann's equation for a Maxwellian gas* (1967) (155)
- A winding problem for a resonator driven by a white noise (1962) (143)
- The inverse Sturm–Liouville problem. II (1984) (139)
- Fredholm determinants (2011) (128)
- Brownian motions on a half line (1963) (125)
- Boussinesq's equation on the circle (1981) (122)
- Breakdown of the Camassa‐Holm equation (2004) (120)
- Breakdown of a shallow water equation (1998) (118)
- Geometry of Differential Space (1973) (112)
- Statistical mechanics of nonlinear wave equations (1994) (100)
- AN UPPER BOUND TO THE SPECTRUM OF Δ ON A MANIFOLD OF NEGATIVE CURVATURE (2008) (94)
- Two queues in parallel (1977) (92)
- Elliptic Curves: Function Theory, Geometry, Arithmetic (1997) (88)
- Hill’s surfaces and their theta functions (1978) (86)
- Fredholm determinants and the Camassa‐Holm hierarchy (2003) (75)
- The sine‐gordon and sinh‐gordon equations on the circle (1981) (72)
- The central limit theorem for Carleman’s equation (1975) (70)
- Winding of the plane Brownian motion (1984) (69)
- Weighted trigonometrical approximation onR1 with application to the Germ field of a stationary Gaussian noise (1964) (68)
- Fluctuations in the kinetic theory of gases (1975) (67)
- The spectral class of the quantum-mechanical harmonic oscillator (1982) (64)
- Excursions of a non-singular diffusion (1963) (57)
- The rigidity of sine‐gordon breathers (1994) (56)
- STOCHASTIC INTEGRAL EQUATIONS ( d = 1) (1969) (56)
- ACTION-ANGLE VARIABLES FOR THE CUBIC SCHRODINGER EQUATION (1997) (54)
- STOCHASTIC INTEGRALS AND DIFFERENTIALS (1969) (54)
- Markov processes with identical hitting distributions (1962) (52)
- The Liouville correspondence between the Korteweg—de Vries and the Camassa‐Holm hierarchies (2003) (51)
- A correction to: Application of Brownian motion to the equation of Kolmagorov‐Petrovski‐Piskonov (1976) (49)
- Statistical mechanics of nonlinear wave equations (4): Cubic Schrödinger (1995) (43)
- Brownian motions on the $3$-dimensional rotation group (1960) (43)
- Potentials and the random walk (1960) (42)
- Additive functionals of the Brownian path (1961) (40)
- Geometry of KDV (4): Abel sums, Jacobi variety, and theta function in the scattering case (1990) (40)
- Erratum: "Statistical mechanics of nonlinear wave equations. IV. Cubic Schrödinger" (1995) (39)
- The nonlinear Schrödinger equation and the nonlinear heat equation reduction to linear form (1991) (37)
- A limit law for the ground state of Hill's equation (1994) (37)
- Chapman‐Enskog‐Hilbert Expansion for a Class of Solutions of the Telegraph Equation (1967) (34)
- Application of De Branges spaces of integral functions to the prediction of stationary Gaussian processes (1970) (34)
- Spectral distribution of a differential operator (1962) (33)
- Stability for the korteweg-de vries equation (1977) (33)
- Brownian local times (1975) (32)
- Sample Functions of Stable Processes (1955) (31)
- Brownian motion and harmonic functions on the class surface of the thrice punctured sphere (1984) (31)
- Cubic Schrödinger: The petit canonical ensemble in action‐angle variables (1997) (29)
- A Hölder condition for Brownian local time (1962) (29)
- The Bessel motion and a singular integral equation. (1960) (29)
- Extrapolation and Interpolation of Stationary Gaussian Processes (1970) (27)
- The ground state eigenvalue of Hill's equation with white noise potential (1999) (27)
- Stabilization to the standing wave in a simple caricature of the nerve equation (1986) (26)
- A. Skorohod’s stochastic integral equation for a reflecting barrier diffusion (1963) (26)
- A simple model of the derivation of fluid mechanics from the Boltzmann equation (1969) (25)
- Hill and toda curves (1980) (24)
- Variation on a theme of Jacobi (1985) (24)
- Brownian motion with restoring drift: The petit and micro-canonical ensembles (1994) (23)
- The classical shallow water equations: Symplectic geometry (1982) (22)
- A DIFFUSION EQUIVALENT TO A COUNTABLE MARKOV CHAIN. (1956) (20)
- Compatible Brackets in Hamiltonian Mechanics (1993) (20)
- Stabilization of solutions of a caricature of the fitzhugh‐nagumo equation (2) (1983) (20)
- The advantage of capitalism vs. socialism depends on the criterion (2006) (19)
- Geometry of KDV (2): Three examples (1987) (19)
- Geometry of KdV (1): Addition and the Unimodular Spectral Classes (1986) (19)
- Entropy is the only increasing functional of Kac's one-dimensional caricature of a Maxwellian gas (1963) (18)
- Statistical mechanics of nonlinear wave equations (4): Cubic Schrödinger (1995) (17)
- Δ plus a bad potential (1977) (17)
- Turbulence Without Pressure: Existence of the Invariant Measure (2002) (12)
- A problem about prime numbers and the random walk I (1961) (11)
- Kramers‐Wannier Duality for the 2‐Dimensional Ising Model as an Instance of Poisson's Summation Formula (1964) (11)
- Singularities of a simple elliptic operator (1987) (11)
- A supplement to “Markov processes with identical hitting distributions” (1963) (10)
- A probabilistic interpretation of equilibrium charge distributions (1965) (10)
- Boundary Conditions for the Heat Equation in a Several-Dimensional Region (1972) (8)
- Curvature of an $\infty $-dimensional manifold related to Hill's equation (1982) (8)
- Geometry of KDV (5): Scattering from the Grassmannian viewpoint (1989) (8)
- Stochastic differential equations (1973) (7)
- Geometry of KDV (3): Determinants and unimodular isospectral flows (1992) (7)
- Arithmetic of Elliptic Curves (1997) (7)
- Processus Stochastiques et Mouvement Brownien.@@@Diffusion Processes and their Sample Paths.@@@Diffusion Models in Population Genetics. (1966) (6)
- Addition for the acoustic equation (2001) (6)
- A threshold for a caricature of the nerve equation (1985) (6)
- Statistical mechanics of nonlinear wave equations. 3. Metric transitivity for hyperbolic sine-gordon (1995) (6)
- Isoperimetric Problem with Application to the Figure of Cells (1965) (5)
- Shallow Water & the Diffeomorphism Group (2000) (5)
- The spectral class of the quantum-mechanical oscillator (1985) (5)
- Probability: The Classical Limit Theorems (2014) (5)
- Trace Formulas and the Canonical 1-Form (1997) (3)
- An integral equation arising in connection with Markov chains (1967) (3)
- A Quick Proof of Fay's Secant Identities (1990) (3)
- Correction to: ``Singularities of a simple elliptic operator'' (1992) (3)
- LOCAL FUNCTIONALS AND GENERALIZED RANDOM FIELDS (2007) (2)
- 4 – STOCHASTIC INTEGRAL EQUATIONS (d ≥ 2) (1969) (2)
- Recollections of K. Itô and Kyoto 1957/58 (2007) (2)
- How real is resonance (1997) (2)
- Correction to an integral equation arising from Markov chains (1968) (2)
- Probability: Markov Chains (2014) (2)
- A Martin boundary connected with the ∞-volume limit of the focussing cubic Schrödinger equation (1996) (2)
- A Pie Problem (Larry Shepp) (1962) (1)
- A New Proof of the Completeness of the Hermite Functions (1952) (1)
- Brownian Motion and the General Diffusion: Scale & Clock (2002) (1)
- 1 – BROWNIAN MOTION (1969) (1)
- Book Review: Riemann surfaces of infinite genus (2004) (1)
- Units of hill curves (1981) (1)
- Correction. Statistical Mechanics of Nonlinear Wave Equations (3). Metric Transitivity for Hyperbolic Sine-Gordon (1999) (1)
- A quick proof of Riemann's mapping theorem (1999) (1)
- Probability: Random Matrices (2014) (0)
- A general view of diffusion in several dimensions (1996) (0)
- Brownian motion in several dimensions (1996) (0)
- Baker-akhiezer functions in the scattering case (1993) (0)
- The Ergodic Theorem (2014) (0)
- Statistical Mechanics Out of Equilibrium (2014) (0)
- Brownian Motions on a Half Line: Dedicated to W. Feller (1987) (0)
- Communication over a Noisy Channel (2014) (0)
- Henry P. McKean Jr. selecta (2015) (0)
- K. Itô: A Reminiscence (2009) (0)
- 4.4. Polynomial approximation arising in connection with the lacunae of the spectrum of Hill's equation (1984) (0)
- ON FAMILIES OF ISOSPECTRAL STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS (2020) (0)
- Imaginary Quadratic Number Fields (1997) (0)
- Modular Groups and Modular Functions (1997) (0)
- Curvatura integra, handle-number, and genus of transcendental curves† (1991) (0)
- Notes on Some Finitely Additive Measures (1954) (0)
- H. Tanaka: An Appreciation (2002) (0)
- The Standard Random Walk (2014) (0)
- Lecture Series on Differential Equations. Session 7. Stochastic Differential Equations. (1969) (0)
- The general 1-dimensional diffusion (1996) (0)
- Elliptic Integrals and Functions (1997) (0)
- Ikosaeder and the Quintic (1997) (0)
- A quicker proof of fay's identity (1993) (0)
- Time changes and killing (1996) (0)
- Weighted trigonometrical approximation on $R^1$ with application to the germ field of a stationary Gaussian process (1964) (0)
- Equilibrium Statistical Mechanics (2014) (0)
- The Invariant Distribution of a Diffusion: Some New Aspects (2007) (0)
- First Ideas: Complex Manifolds, Riemann Surfaces, and Projective Curves (1997) (0)
- Variations on a theme of M. G. Kre??n (1999) (0)
- Probability: The Standard Random Walk in Higher Dimensions (2014) (0)
- Book review:Fractals: Form, chance, and dimension (1979) (0)
- 1.3. Some questions about Hardy functions (1984) (0)
- LLN, CLT, Iterated Log, and Arcsine in General (2014) (0)
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Henry McKean is affiliated with the following schools:
