Edit Profile (opens in new tab) McKean, Henry P. jun. Compute Distance To: Compute Author ID: mckean.henry-p-jun Published as: McKean, H. P.; McKean, H. P. jun.; McKean, Henry P.; McKean, Henry P. jun.; McKean, Henry; McKean, H. jun.; Mckean, Henry; Mckean, H. P. more...less Homepage: http://www.math.nyu.edu/faculty/mckean/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 145 Publications since 1952, including 16 Books 1 Contribution as Editor · 3 Further Contributions Biographic References: 4 Publications Co-Authors: 38 Co-Authors with 61 Joint Publications 1,376 Co-Co-Authors all top 5 Co-Authors 85 single-authored 7 Dym, Harry 6 Itō, Kiyosi 6 Vaninsky, K. L. 5 Moll, Victor Hugo 4 Trubowitz, Eugene 4 van Moerbeke, Pierre 3 Blumenthal, Robert M. 3 Getoor, Ronald Kay 2 Clark, Douglas Napier 2 Douglas, Ronald George 2 Ercolani, Nicholas M. 2 Faddeev, Lyudvig Dmitrievich 2 Flatto, Leopold 2 Helson, Henry 2 Leiterer, Jürgen 2 Levinson, Norman 2 London, R. R. 2 Naboko, Serguei N. 2 Nikol’skiĭ, Nikolaĭ Kapitonovich 2 Pavlov, Boris Sergeevich 2 Peller, Vladimir Vsevolodovich 2 Putnam, Calvin R. 2 Rogers, L. C. G. 2 Sakhnovych, Lev Aronovych 2 Smyth, M. R. F. 2 Szőkefalvi-Nagy, Béla 2 Vasyunin, Vasiliĭ Ivanovich 2 Vershik, Anatoliĭ Moiseevich 2 West, Timothy Trevor 2 Williams, David 1 Adler, Stephen L. 1 Airault, Hélène 1 Berger, Melvyn S. 1 Betancourt, Octavio L. 1 Birnir, Bjorn 1 Cambronero, Santiago 1 Cavalcante, J. A. 1 Constantin, Adrian 1 Cooper, Leon Neil 1 Feller, William 1 Gallavotti, Giovanni M. 1 Garabedian, Paul Roesel 1 Grünbaum, Francisco Alberto 1 Isaacson, Eli L. 1 Keller, Joseph Bishop 1 Keyes, Robert W. 1 Lichnerowicz, Andre 1 Lyons, Terence John 1 Mather, John N. 1 Moser, Jürgen K. 1 Nirenberg, Louis 1 Penrose, Roger 1 Rabinowitz, Paul Henry 1 Ray, Daniel 1 Scovel, James C. 1 Segal, Irving Ezra 1 Shatah, Jalal 1 Shepp, Lawrence Alan 1 Singer, Isadore Manuel 1 Sullivan, Dennis Parnell 1 Tanaka, Hiroshi L. 1 Turbowitz, E. 1 Weinstein, Alan David 1 Weiss, George-Herbert all top 5 Serials 34 Communications on Pure and Applied Mathematics 6 Illinois Journal of Mathematics 5 Communications in Mathematical Physics 5 Journal of Differential Geometry 4 Advances in Mathematics 4 Journal of Mathematics of Kyoto University 4 Bulletin of the American Mathematical Society 3 Journal of Statistical Physics 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Memoirs of the College of Science, University of Kyoto, Series A 2 Journal of Mathematical Physics 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Physica D 2 Proceedings of the National Academy of Sciences of the United States of America 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Theory of Probability and its Applications 1 Acta Mathematica 1 The Annals of Probability 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Soviet Mathematics 1 Nagoya Mathematical Journal 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Notices of the American Mathematical Society 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of Mathematical Sciences (New York) 1 Methods and Applications of Analysis 1 The Asian Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Central European Journal of Mathematics 1 Journal of Combinatorial Theory 1 Journal of the London Mathematical Society 1 Grundlehren der Mathematischen Wissenschaften 1 Nouvelle Bibliothèque Mathématique 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Japanese Journal of Mathematics. 3rd Series 1 Annals of Mathematical Statistics 1 Contemporary Mathematicians 1 Classics in Mathematics 1 Dover Books on Mathematics all top 5 Fields 46 Partial differential equations (35-XX) 43 Probability theory and stochastic processes (60-XX) 23 Dynamical systems and ergodic theory (37-XX) 15 Algebraic geometry (14-XX) 15 Ordinary differential equations (34-XX) 12 Global analysis, analysis on manifolds (58-XX) 9 Fluid mechanics (76-XX) 7 History and biography (01-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Functions of a complex variable (30-XX) 6 Operator theory (47-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 125 Publications have been cited 5,001 times in 4,262 Documents Cited by ▼ Year ▼ Diffusion processes and their sample paths. Zbl 0127.09503Ito, K.; McKean, H. P. jun. 475 1965 A shallow water equation on the circle. Zbl 0940.35177Constantin, A.; McKean, H. P. 354 1999 Stochastic integrals. Zbl 0191.46603McKean, H. P. jun. 290 1969 Curvature and the eigenvalues of the Laplacian. Zbl 0198.44301McKean, H. P. jun.; Singer, I. M. 271 1967 A class of Markov processes associated with nonlinear parabolic equations. Zbl 0149.13501McKean, H. P. jun. 254 1966 The spectrum of Hill’s equation. Zbl 0319.34024McKean, H. P.; van Moerbeke, P. 216 1975 Diffusion processes and their sample paths. 2nd printing, corrected. Zbl 0285.60063Ito, K.; McKean, H. P. jun. 204 1974 Application of Brownian motion to the equation of Kolmogorov-Petrovskii- Piskunov. Zbl 0316.35053McKean, H. P. 198 1975 Rational and elliptic solutions of the Korteweg-de Vries equation and a related many body problem. Zbl 0338.35024Airault, H.; McKean, H. P.; Moser, Jürgen 195 1977 Gaussian processes, function theory, and the inverse spectral problem. Zbl 0327.60029Dym, H.; McKean, H. P. 181 1976 Fourier series and integrals. Zbl 0242.42001Dym, H.; McKean, H. P. 174 1972 Nagumo’s equation. Zbl 0202.16203McKean, H. P. jun. 151 1970 Hill’s operator and hyperelliptic function theory in the presence of infinitely many branch points. Zbl 0339.34024McKean, H. P.; Trubowitz, E. 144 1976 Breakdown of a shallow water equation. Zbl 0959.35140McKean, H. P. 128 1998 An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature. Zbl 0197.18003McKean, H. P. 112 1970 Speed of approach to equilibrium for Kac’s caricature of a Maxwellian gas. Zbl 1302.60049McKean, H. P. jun. 102 1966 Diffusion processes and their sample paths. Repr. of the 1974 ed. Zbl 0837.60001Itô, Kiyosi; McKean, Henry P. jun. 85 1996 Elementary solutions for certain parabolic partial differential equations. Zbl 0070.32003McKean, Henry P. jun. 76 1956 An exponential formula for solving Boltzmann’s equation for a Maxwellian gas. Zbl 0152.46501McKean, H. P. jun. 66 1967 Breakdown of the Camassa-Holm equation. Zbl 1052.35130McKean, Henry P. 61 2004 Integrable systems and algebraic curves. Zbl 0449.35080McKean, H. P. 51 1979 Boussinesq’s equation on the circle. Zbl 0473.35070McKean, H. P. 50 1981 Brownian motions on a half line. Zbl 0114.33601Ito, K.; McKean, H. P. jun. 48 1963 Brownian motion with a several-dimensional time. Zbl 0124.08702McKean, H. P. jun. 48 1963 A winding problem for a resonator driven by a white noise. Zbl 0119.34701McKean, H. P. jun. 45 1963 Two queues in a parallel. Zbl 0336.60082Flatto, L.; McKean, H. P. 34 1977 The sine-Gordon and sinh-Gordon equations on the circle. Zbl 0467.35078McKean, H. P. 34 1981 Fredholm determinants and the Camassa-Holm hierarchy. Zbl 1047.37047McKean, Henry P. 32 2003 The central limit theorem for Carleman’s equation. Zbl 0315.60013McKean, H. P. 31 1975 Weighted trigonometrical approximation on \(R^ 1\) with application to the germ field of a stationary Gaussian noise. Zbl 0126.13901Levinson, N.; McKean, H. jun. 31 1964 Geometry of differential space. Zbl 0263.60035McKean, H. P. 27 1973 Statistical mechanics of nonlinear wave equations. IV: Cubic Schrödinger. Zbl 0821.60069McKean, H. P. 27 1995 Hill’s surfaces and their theta functions. Zbl 0428.34026Mckean, H. P.; Trubowitz, E. 27 1978 Markov processes with identical hitting distributions. Zbl 0133.40903Blumenthal, R. M.; Getoor, R. K.; McKean, H. P. jun. 24 1962 Winding of the plane Brownian motion. Zbl 0541.60075Lyons, T. J.; McKean, H. P. 23 1984 The inverse Sturm-Liouville problem. II. Zbl 0552.58024Isaacson, E. L.; McKean, H. P.; Trubowitz, E. 21 1984 Elliptic curves. Function theory, geometry, arithmetic. Zbl 0895.11002McKean, Henry; Moll, Victor 21 1997 Excursions of a non-singular diffusion. Zbl 0117.35903McKean, H. P. jun. 21 1963 Diffusion processes and their sample paths. Zbl 0153.47302Ito, K.; McKean, H. P. jun. 21 1968 The Liouville correspondence between the Korteweg-de Vries and the Camassa-Holm hierarchies. Zbl 1037.37030McKean, Henry P. 20 2003 The spectral class of the quantum-mechanical harmonic oscillator. Zbl 0493.34012McKean, H. P.; Turbowitz, E. 20 1982 Action-angle variables for the cubic Schrödinger equation. Zbl 0990.35047McKean, H. P.; Vaninsky, K. L. 19 1997 Potentials and the random walk. Zbl 0238.60047Ito, Kiyosi; McKean, H. P. jun. 19 1960 Correction to: ’Selberg’s trace formula as applied to a compact Riemann surface’. Zbl 0317.30018McKean, H. P. 19 1974 The nonlinear Schrödinger equation and the nonlinear heat equation reduction to linear form. Zbl 0773.35075McKean, H. P.; Shatah, J. 17 1991 Sample functions of stable processes. Zbl 0068.11501McKean, Henry P. jun. 17 1955 Geometry of some simple nonlinear differential operators. Zbl 0648.47048McKean, H. P.; Scovel, J. C. 16 1986 Propagation of chaos for a class of non-linear parabolic equations. Zbl 0181.44401McKean, H. P. jun. 16 1969 A correction to: Application of Brownian motion to the equation of Kolmogorov-Petrovski-Piskonov. Zbl 0354.35051McKean, H. P. 15 1976 A limit law for the ground state of Hill’s equation. Zbl 0828.60048McKean, H. P. 13 1994 Application of de Branges spaces of integral functions of the prediction of stationary Gaussian processes. Zbl 0233.60040Dym, H.; McKean, H. P. jun. 13 1970 Statistical mechanics of nonlinear wave equations. Zbl 0811.35171McKean, H. P.; Vaninsky, K. L. 13 1994 The rigidity of sine-Gordon breathers. Zbl 0814.35112Birnir, Björn; McKean, Henry P.; Weinstein, Alan 13 1994 The ground state eigenvalue of Hill’s equation with white noise potential. Zbl 0931.34072Cambronero, S.; McKean, H. P. 13 1999 Spectral distribution of a differential operator. Zbl 0114.04902McKean, H. P. jun.; Ray, D. B. 13 1962 Elliptic curves. Function theory, geometry, arithmetic. Paperback ed. with corrections. Zbl 0967.11002McKean, Henry; Moll, Victor 12 1999 Geometry of KdV. IV: Abel sums, Jacobi variety, and theta function in the scattering case. Zbl 0714.35074Ercolani, N.; McKean, H. P. 12 1990 Stabilization to the standing wave in a simple caricature of the nerve equation. Zbl 0594.92006McKean, H. P.; Moll, V. 12 1986 The Bessel motion and a singular integral equation. Zbl 0243.45009McKean, H. P. jun. 11 1960 Wiener’s theory of nonlinear noise. Zbl 0273.60022McKean, H. P. 11 1973 \(-\Delta\)plus a bad potential. Zbl 0357.47025McKean, H. P. 11 1977 A. Skorohod’s stochastic integral equation for a reflecting barrier diffusion. Zbl 0202.46601McKean, H. P. jun. 11 1963 Hill and Toda curves. Zbl 0422.14017McKean, H. P.; van Moerbeke, P. 11 1980 Hausdorff-Besicovitch dimension of Brownian motion paths. Zbl 0066.04502McKean, Henry P. jun. 11 1955 Brownian motions on the 3-dimensional rotation group. Zbl 0107.12505McKean, H. P. jun. 11 1960 The advantage of capitalism vs. socialism depends on the criterion. Zbl 1121.91068McKean, H. P.; Shepp, L. A. 11 2005 Stochastic integrals. Reprint of the 1969 edition, with errata. Zbl 1101.60002McKean, Henry P. 10 2005 Stability of the Korteweg-DeVries equation. Zbl 0335.58013McKean, H. P. 10 1977 A Hölder condition for Brownian local time. Zbl 0121.13101McKean, H. P. jun. 10 1962 Brownian motion with restoring drift: The petit and micro-canonical ensembles. Zbl 0792.60077McKean, H. P.; Vaninsky, K. L. 9 1994 Extrapolation and interpolation of stationary Gaussian processes. Zbl 0295.60028Dym, H.; McKean, H. P. 9 1970 Geometry of KdV. I: Addition and the unimodular spectral classes. Zbl 0651.35074McKean, H. P. 9 1986 Additive functionals of the Brownian path. Zbl 0100.34201McKean, H. P. jun.; Tanaka, Hiroshi 9 1961 Entropy is the only increasing functional of Kac’s one-dimensional caricature of a Maxwellian gas. Zbl 0129.43605McKean, H. P. jun. 9 1963 Cubic Schrödinger: The petit canonical ensemble in action-angle variables. Zbl 0883.35032McKean, H. P.; Vaninsky, K. L. 8 1997 Theta functions, solitons and singular curves. Zbl 0411.58023McKean, H. P. 8 1979 Geometry of KdV. II: Three examples. Zbl 0689.35076McKean, H. P. 8 1987 Stabilization of solutions of a caricature of the Fitzhugh-Nagumo equation. Zbl 0516.35043McKean, H. P. 7 1983 Compatible brackets in Hamiltonian mechanics. Zbl 0842.35106McKean, H. P. 7 1993 Variation on a theme of Jacobi. Zbl 0591.34025McKean, H. P. 7 1985 Statistical mechanics of nonlinear wave equations. Zbl 0834.35108McKean, H. P.; Vaninsky, K. L. 7 1995 A martingale approach to some Wiener-Hopf problems. II. Zbl 0485.60073London, R. R.; McKean, H. P.; Rogers, L. C. G.; Williams, David 7 1982 Erratum: Statistical mechanics of nonlinear wave equations. IV: Cubic Schrödinger. Zbl 0838.60058McKean, H. P. 6 1995 Boussinesq’s equation as a Hamiltonian system. Zbl 0546.58022McKean, H. P. 6 1978 Brownian local times. Zbl 0309.60054McKean, H. P. 6 1975 Fredholm determinants. Zbl 1223.46002McKean, Henry P. 6 2011 The classical shallow water equations: symplectic geometry. Zbl 1194.76023Cavalcante, J.; McKean, H. P. 6 1982 Gaussian processes, function theory, and the inverse spectral problem. Reprint of the 1976 original ed. Zbl 1137.60321Dym, H.; McKean, H. P. 6 2008 Fourier series and integrals. (Paperback ed.). Zbl 0606.42001Dym, H.; McKean, H. P. 6 1985 A diffusion equivalent to a countable Markov chain. Zbl 0072.35303Feller, William; McKean, Henry P. jun. 6 1956 A martingale approach to some Wiener-Hopf problems. I. Zbl 0485.60072London, R. R.; McKean, H. P.; Rogers, L. C. G.; Williams, David 6 1982 Stabilization of solutions of a caricature of the Fitzhugh-Nagumo equation. II. Zbl 0539.35039McKean, H. P. 5 1984 Singularities of a simple elliptic operator. Zbl 0596.58032McKean, H. P. 5 1987 Probability. The classical limit theorems. Zbl 1327.60012McKean, Henry 4 2014 A supplement to ‘Markov processes with identical hitting distributions’. Zbl 0211.48602Blumenthal, R. M.; Getoor, R. K.; McKean, H. P. jun. 4 1963 A simple model of the derivation of fluid mechanics from the Boltzmann equation. Zbl 0217.56402McKean, H. P. jun. 4 1969 Is there an infinite-dimensional algebraic geometry? Hints from KdV. Zbl 0699.14053McKean, H. P. 4 1989 Geometry of KdV. V: Scattering from the Grassmannian viewpoint. Zbl 0699.58062McKean, H. P. 4 1989 An integral equation arising in connection with Markov chains. Zbl 0153.19704McKean, H. P. jun. 4 1967 Brownian motion and harmonic functions on the class surface of the thrice punctured sphere. Zbl 0541.60076McKean, H. P.; Sullivan, D. 3 1984 Fourier series and integrals. Translated from the English by Éric Kouris. (Séries et intégrales de Fourier.) Zbl 1374.42001Dym, Harry; McKean, Henry P. 1 2016 Probability. The classical limit theorems. Zbl 1327.60012McKean, Henry 4 2014 Fredholm determinants. Zbl 1223.46002McKean, Henry P. 6 2011 Gaussian processes, function theory, and the inverse spectral problem. Reprint of the 1976 original ed. Zbl 1137.60321Dym, H.; McKean, H. P. 6 2008 The advantage of capitalism vs. socialism depends on the criterion. Zbl 1121.91068McKean, H. P.; Shepp, L. A. 11 2005 Stochastic integrals. Reprint of the 1969 edition, with errata. Zbl 1101.60002McKean, Henry P. 10 2005 Breakdown of the Camassa-Holm equation. Zbl 1052.35130McKean, Henry P. 61 2004 Fredholm determinants and the Camassa-Holm hierarchy. Zbl 1047.37047McKean, Henry P. 32 2003 The Liouville correspondence between the Korteweg-de Vries and the Camassa-Holm hierarchies. Zbl 1037.37030McKean, Henry P. 20 2003 Turbulence without pressure: existence of the invariant measure. Zbl 1329.76130McKean, Henry P. 3 2002 Brownian motion and the general diffusion: Scale & clock. Zbl 1011.91051McKean, Henry P. 2 2002 Addition for the acoustic equation. Zbl 1024.37046McKean, Henry P. 1 2001 Shallow water and the diffeomorphism group. Zbl 1004.76012McKean, H. P. 1 2000 A shallow water equation on the circle. Zbl 0940.35177Constantin, A.; McKean, H. P. 354 1999 The ground state eigenvalue of Hill’s equation with white noise potential. Zbl 0931.34072Cambronero, S.; McKean, H. P. 13 1999 Elliptic curves. Function theory, geometry, arithmetic. Paperback ed. with corrections. Zbl 0967.11002McKean, Henry; Moll, Victor 12 1999 A novel aspect of action-angle variables. Zbl 0926.37020McKean, Henry P. 1 1999 Breakdown of a shallow water equation. Zbl 0959.35140McKean, H. P. 128 1998 Elliptic curves. Function theory, geometry, arithmetic. Zbl 0895.11002McKean, Henry; Moll, Victor 21 1997 Action-angle variables for the cubic Schrödinger equation. Zbl 0990.35047McKean, H. P.; Vaninsky, K. L. 19 1997 Cubic Schrödinger: The petit canonical ensemble in action-angle variables. Zbl 0883.35032McKean, H. P.; Vaninsky, K. L. 8 1997 Trace formulas and the canonical 1-form. Zbl 0868.35104McKean, Henry P. 2 1997 How real is resonance? Zbl 0874.35109McKean, Henry P. 2 1997 Diffusion processes and their sample paths. Repr. of the 1974 ed. Zbl 0837.60001Itô, Kiyosi; McKean, Henry P. jun. 85 1996 A Martin boundary connected with the \(\infty\)-volume limit of the focussing cubic Schrödinger equation. Zbl 0859.60063McKean, Henry P. 1 1996 Statistical mechanics of nonlinear wave equations. Zbl 0929.35097McKean, H. P.; Vaninsky, K. L. 1 1996 Statistical mechanics of nonlinear wave equations. IV: Cubic Schrödinger. Zbl 0821.60069McKean, H. P. 27 1995 Statistical mechanics of nonlinear wave equations. Zbl 0834.35108McKean, H. P.; Vaninsky, K. L. 7 1995 Erratum: Statistical mechanics of nonlinear wave equations. IV: Cubic Schrödinger. Zbl 0838.60058McKean, H. P. 6 1995 Statistical mechanics of nonlinear wave equations. III: Metric transitivity for hyperbolic sine-Gordon. Zbl 1114.35332McKean, H. P. 2 1995 A limit law for the ground state of Hill’s equation. Zbl 0828.60048McKean, H. P. 13 1994 Statistical mechanics of nonlinear wave equations. Zbl 0811.35171McKean, H. P.; Vaninsky, K. L. 13 1994 The rigidity of sine-Gordon breathers. Zbl 0814.35112Birnir, Björn; McKean, Henry P.; Weinstein, Alan 13 1994 Brownian motion with restoring drift: The petit and micro-canonical ensembles. Zbl 0792.60077McKean, H. P.; Vaninsky, K. L. 9 1994 Compatible brackets in Hamiltonian mechanics. Zbl 0842.35106McKean, H. P. 7 1993 Correction to “Singularities of a simple elliptic operator”. Zbl 0760.58006McKean, H. P. 1 1992 Geometry of KdV. III: Determinants and unimodular isospectral flows. Zbl 0774.35077McKean, H. P. 1 1992 The nonlinear Schrödinger equation and the nonlinear heat equation reduction to linear form. Zbl 0773.35075McKean, H. P.; Shatah, J. 17 1991 Geometry of KdV. IV: Abel sums, Jacobi variety, and theta function in the scattering case. Zbl 0714.35074Ercolani, N.; McKean, H. P. 12 1990 A quick proof of Fay’s secant identities. Zbl 0719.14029Ercolani, N.; McKean, H. P. 2 1990 Is there an infinite-dimensional algebraic geometry? Hints from KdV. Zbl 0699.14053McKean, H. P. 4 1989 Geometry of KdV. V: Scattering from the Grassmannian viewpoint. Zbl 0699.58062McKean, H. P. 4 1989 Geometry of KdV. II: Three examples. Zbl 0689.35076McKean, H. P. 8 1987 Singularities of a simple elliptic operator. Zbl 0596.58032McKean, H. P. 5 1987 Geometry of some simple nonlinear differential operators. Zbl 0648.47048McKean, H. P.; Scovel, J. C. 16 1986 Stabilization to the standing wave in a simple caricature of the nerve equation. Zbl 0594.92006McKean, H. P.; Moll, V. 12 1986 Geometry of KdV. I: Addition and the unimodular spectral classes. Zbl 0651.35074McKean, H. P. 9 1986 Variation on a theme of Jacobi. Zbl 0591.34025McKean, H. P. 7 1985 Fourier series and integrals. (Paperback ed.). Zbl 0606.42001Dym, H.; McKean, H. P. 6 1985 A threshold for a caricature of the nerve equation. Zbl 0586.35012McKean, H. P.; Moll, V. 2 1985 Winding of the plane Brownian motion. Zbl 0541.60075Lyons, T. J.; McKean, H. P. 23 1984 The inverse Sturm-Liouville problem. II. Zbl 0552.58024Isaacson, E. L.; McKean, H. P.; Trubowitz, E. 21 1984 Stabilization of solutions of a caricature of the Fitzhugh-Nagumo equation. II. Zbl 0539.35039McKean, H. P. 5 1984 Brownian motion and harmonic functions on the class surface of the thrice punctured sphere. Zbl 0541.60076McKean, H. P.; Sullivan, D. 3 1984 Stabilization of solutions of a caricature of the Fitzhugh-Nagumo equation. Zbl 0516.35043McKean, H. P. 7 1983 The spectral class of the quantum-mechanical harmonic oscillator. Zbl 0493.34012McKean, H. P.; Turbowitz, E. 20 1982 A martingale approach to some Wiener-Hopf problems. II. Zbl 0485.60073London, R. R.; McKean, H. P.; Rogers, L. C. G.; Williams, David 7 1982 The classical shallow water equations: symplectic geometry. Zbl 1194.76023Cavalcante, J.; McKean, H. P. 6 1982 A martingale approach to some Wiener-Hopf problems. I. Zbl 0485.60072London, R. R.; McKean, H. P.; Rogers, L. C. G.; Williams, David 6 1982 Curvature of an infinity-dimensional manifold related to Hill’s equation. Zbl 0481.58013McKean, H. P. 2 1982 Boussinesq’s equation on the circle. Zbl 0473.35070McKean, H. P. 50 1981 The sine-Gordon and sinh-Gordon equations on the circle. Zbl 0467.35078McKean, H. P. 34 1981 Boussinesq’s equation on the circle. Zbl 1194.35376McKean, H. P. 3 1981 Hill and Toda curves. Zbl 0422.14017McKean, H. P.; van Moerbeke, P. 11 1980 Integrable systems and algebraic curves. Zbl 0449.35080McKean, H. P. 51 1979 Theta functions, solitons and singular curves. Zbl 0411.58023McKean, H. P. 8 1979 Hill’s surfaces and their theta functions. Zbl 0428.34026Mckean, H. P.; Trubowitz, E. 27 1978 Boussinesq’s equation as a Hamiltonian system. Zbl 0546.58022McKean, H. P. 6 1978 Rational and elliptic solutions of the Korteweg-de Vries equation and a related many body problem. Zbl 0338.35024Airault, H.; McKean, H. P.; Moser, Jürgen 195 1977 Two queues in a parallel. Zbl 0336.60082Flatto, L.; McKean, H. P. 34 1977 \(-\Delta\)plus a bad potential. Zbl 0357.47025McKean, H. P. 11 1977 Stability of the Korteweg-DeVries equation. Zbl 0335.58013McKean, H. P. 10 1977 Two parallel queues with equal servicing rates. Zbl 0327.60061Flatto, Leopold; McKean, Henry 2 1977 Gaussian processes, function theory, and the inverse spectral problem. Zbl 0327.60029Dym, H.; McKean, H. P. 181 1976 Hill’s operator and hyperelliptic function theory in the presence of infinitely many branch points. Zbl 0339.34024McKean, H. P.; Trubowitz, E. 144 1976 A correction to: Application of Brownian motion to the equation of Kolmogorov-Petrovski-Piskonov. Zbl 0354.35051McKean, H. P. 15 1976 The spectrum of Hill’s equation. Zbl 0319.34024McKean, H. P.; van Moerbeke, P. 216 1975 Application of Brownian motion to the equation of Kolmogorov-Petrovskii- Piskunov. Zbl 0316.35053McKean, H. P. 198 1975 The central limit theorem for Carleman’s equation. Zbl 0315.60013McKean, H. P. 31 1975 Brownian local times. Zbl 0309.60054McKean, H. P. 6 1975 Diffusion processes and their sample paths. 2nd printing, corrected. Zbl 0285.60063Ito, K.; McKean, H. P. jun. 204 1974 Correction to: ’Selberg’s trace formula as applied to a compact Riemann surface’. Zbl 0317.30018McKean, H. P. 19 1974 Geometry of differential space. Zbl 0263.60035McKean, H. P. 27 1973 Wiener’s theory of nonlinear noise. Zbl 0273.60022McKean, H. P. 11 1973 Brownian local times. Zbl 0269.60062McKean, H. P. 1 1973 Fourier series and integrals. Zbl 0242.42001Dym, H.; McKean, H. P. 174 1972 Boundary conditions for the heat equation in a several-dimensional region. Zbl 0215.53502Gallavotti, G. M.; McKean, H. P. 3 1972 Nagumo’s equation. Zbl 0202.16203McKean, H. P. jun. 151 1970 An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature. Zbl 0197.18003McKean, H. P. 112 1970 Application of de Branges spaces of integral functions of the prediction of stationary Gaussian processes. Zbl 0233.60040Dym, H.; McKean, H. P. jun. 13 1970 Extrapolation and interpolation of stationary Gaussian processes. Zbl 0295.60028Dym, H.; McKean, H. P. 9 1970 Stochastic integrals. Zbl 0191.46603McKean, H. P. jun. 290 1969 Propagation of chaos for a class of non-linear parabolic equations. Zbl 0181.44401McKean, H. P. jun. 16 1969 A simple model of the derivation of fluid mechanics from the Boltzmann equation. Zbl 0217.56402McKean, H. P. jun. 4 1969 Diffusion processes and their sample paths. Zbl 0153.47302Ito, K.; McKean, H. P. jun. 21 1968 Curvature and the eigenvalues of the Laplacian. Zbl 0198.44301McKean, H. P. jun.; Singer, I. M. 271 1967 An exponential formula for solving Boltzmann’s equation for a Maxwellian gas. Zbl 0152.46501McKean, H. P. jun. 66 1967 An integral equation arising in connection with Markov chains. Zbl 0153.19704McKean, H. P. jun. 4 1967 A class of Markov processes associated with nonlinear parabolic equations. Zbl 0149.13501McKean, H. P. jun. 254 1966 Speed of approach to equilibrium for Kac’s caricature of a Maxwellian gas. Zbl 1302.60049McKean, H. P. jun. 102 1966 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,301 Authors 49 Yin, Zhaoyang 30 McKean, Henry P. jun. 25 Constantin, Adrian 25 Liu, Yue 25 Yor, Marc 24 Zayed, Elsayed M. E. 22 Gesztesy, Fritz 21 Geng, Xianguo 20 Kappeler, Thomas 20 Simon, Barry 19 Mi, Yongsheng 19 Qiao, Zhijun 18 Toscani, Giuseppe 17 Oh, Tadahiro 16 Bismut, Jean-Michel 16 Gilkey, Peter B. 16 Guo, Zhengguang 16 Himonas, A. Alexandrou 16 Korotyaev, Evgeny L. 16 Tian, Lixin 15 Lenells, Jonatan 15 Mu, Chunlai 15 Salminen, Paavo H. 14 Carlen, Eric Anders 14 Gabetta, Ester 13 Bingham, Nicholas Hugh 13 Guo, Boling 13 Linetsky, Vadim 13 Regazzini, Eugenio 12 Grünbaum, Francisco Alberto 12 Hu, Qiaoyi 12 Jørgensen, Palle E. T. 12 Qu, Changzheng 12 Zhou, Yong 11 Alpay, Daniel Aron 11 Getoor, Ronald Kay 11 Jiang, Zaihong 11 Khoshnevisan, Davar 11 Menozzi, Stéphane 11 Moll, Victor Hugo 11 Shi, Zhan 11 Zhu, Min 11 Zhu, Mingxuan 10 Blower, Gordon 10 Boumenir, Amin A. 10 Burdzy, Krzysztof 10 Dym, Harry 10 Knight, Frank Bardsley 10 Röckner, Michael 10 Sabelfeld, Karl Karlovich 10 Shen, Chunyu 10 Topalov, Peter J. 10 Tugaut, Julian 10 van den Berg, Michiel 9 Dawson, Donald Andrew 9 Del Moral, Pierre 9 Krichever, Igor’ Moiseevich 9 Lai, Shaoyong 9 Nagasawa, Masao 9 Novruzov, Emil B. 9 Pitt, Loren D. 9 Révész, Pál 9 van Zanten, Harry 9 Wang, Yongjin 9 Wei, Jiao 9 Woracek, Harald 9 Yan, Wei 8 Deconinck, Bernard 8 Eckhardt, Jonathan 8 Fukushima, Masatoshi 8 Johnson, Russell Allan 8 Kasahara, Yuji 8 Konakov, Valentin 8 Kyprianou, Andreas E. 8 Li, Lingfei 8 Li, Yongsheng 8 Liu, Zhengrong 8 McLaughlin, David W. 8 Müller, Carl E. 8 Olver, Peter John 8 Orsingher, Enzo 8 Pitman, Jim William 8 Szmigielski, Jacek 8 Tanaka, Hiroshi L. 8 van Moerbeke, Pierre 8 Watanabe, Shinzo 8 Waymire, Edward C. 8 Weikard, Rudi 8 Zeitouni, Ofer 8 Zeng, Xin 7 Adler, Mark 7 Albeverio, Sergio A. 7 Bassetti, Federico 7 Belopol’skaya, Yana Isaevna 7 Birnir, Bjorn 7 Carvalho, Maria Conceição 7 Chaudru De Raynal, Paul-Eric 7 Chen, Jinbing 7 Coombes, Stephen 7 Csörgő, Miklós ...and 4,201 more Authors all top 5 Cited in 526 Serials 188 Stochastic Processes and their Applications 141 Communications in Mathematical Physics 133 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 126 Journal of Mathematical Analysis and Applications 125 Journal of Mathematical Physics 106 Journal of Differential Equations 105 Journal of Functional Analysis 94 Probability Theory and Related Fields 91 Transactions of the American Mathematical Society 70 Journal of Statistical Physics 64 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 64 Physica D 57 The Annals of Probability 57 Statistics & Probability Letters 55 The Annals of Applied Probability 52 Journal of Theoretical Probability 48 Discrete and Continuous Dynamical Systems 40 Communications on Pure and Applied Mathematics 40 Proceedings of the American Mathematical Society 39 Advances in Mathematics 37 Applied Mathematics and Computation 35 Journal of Nonlinear Mathematical Physics 30 Annales de l’Institut Fourier 30 Duke Mathematical Journal 30 Acta Applicandae Mathematicae 29 Theoretical and Mathematical Physics 28 Inventiones Mathematicae 27 Journal of Soviet Mathematics 27 Annales de l’Institut Henri Poincaré. 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Zeitschrift für angewandte Mathematik und Physik 9 Applied Mathematics and Optimization 9 Kodai Mathematical Journal 9 Quarterly of Applied Mathematics 9 Advances in Applied Mathematics ...and 426 more Serials all top 5 Cited in 61 Fields 1,786 Probability theory and stochastic processes (60-XX) 1,600 Partial differential equations (35-XX) 494 Dynamical systems and ergodic theory (37-XX) 365 Ordinary differential equations (34-XX) 326 Global analysis, analysis on manifolds (58-XX) 285 Operator theory (47-XX) 261 Statistical mechanics, structure of matter (82-XX) 250 Fluid mechanics (76-XX) 208 Numerical analysis (65-XX) 201 Quantum theory (81-XX) 161 Biology and other natural sciences (92-XX) 157 Differential geometry (53-XX) 137 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 118 Systems theory; control (93-XX) 116 Statistics (62-XX) 110 Harmonic analysis on Euclidean spaces (42-XX) 104 Algebraic geometry (14-XX) 87 Functions of a complex variable (30-XX) 84 Functional analysis (46-XX) 75 Special functions (33-XX) 75 Calculus of variations and optimal control; optimization (49-XX) 67 Potential theory (31-XX) 60 Mechanics of particles and systems (70-XX) 56 Measure and integration (28-XX) 53 Operations research, mathematical programming (90-XX) 51 Number theory (11-XX) 45 Integral equations (45-XX) 43 Topological groups, Lie groups (22-XX) 40 Abstract harmonic analysis (43-XX) 40 Information and communication theory, circuits (94-XX) 37 Mechanics of deformable solids (74-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 34 Approximations and expansions (41-XX) 33 Real functions (26-XX) 29 Several complex variables and analytic spaces (32-XX) 28 Combinatorics (05-XX) 27 Integral transforms, operational calculus (44-XX) 26 Nonassociative rings and algebras (17-XX) 26 Computer science (68-XX) 21 Difference and functional equations (39-XX) 17 History and biography (01-XX) 17 Manifolds and cell complexes (57-XX) 14 Classical thermodynamics, heat transfer (80-XX) 14 Relativity and gravitational theory (83-XX) 14 Geophysics (86-XX) 13 Optics, electromagnetic theory (78-XX) 11 Convex and discrete geometry (52-XX) 10 Group theory and generalizations (20-XX) 7 Mathematical logic and foundations (03-XX) 7 Associative rings and algebras (16-XX) 7 General topology (54-XX) 6 Algebraic topology (55-XX) 4 Sequences, series, summability (40-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 \(K\)-theory (19-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 Astronomy and astrophysics (85-XX) 1 Commutative algebra (13-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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