WorldCat Identities

McKean, Henry P. (Henry Pratt) 1930-

Overview
Works: 48 works in 191 publications in 4 languages and 3,806 library holdings
Genres: Conference papers and proceedings  Academic theses 
Roles: Author, Editor, Honoree, Contributor, Dedicatee
Classifications: QA273, 515.2433
Publication Timeline
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Most widely held works about Henry P McKean
 
Most widely held works by Henry P McKean
Fourier series and integrals by H Dym( Book )

27 editions published between 1972 and 2003 in English and held by 772 WorldCat member libraries worldwide

Stochastic integrals by Henry P McKean( Book )

29 editions published between 1969 and 2005 in 3 languages and held by 693 WorldCat member libraries worldwide

Diffusion processes and their sample paths by Kiyosi Itō( Book )

23 editions published between 1965 and 1996 in English and German and held by 574 WorldCat member libraries worldwide

U4 = Reihentext + Werbetext für dieses Buch Werbetext: Since its first publication in 1965 in the series Grundlehren der mathematischen Wissenschaften this book has had a profound and enduring influence on research into the stochastic processes associated with diffusion phenomena. Generations of mathematicians have appreciated the clarity of the descriptions given of one- or more- dimensional diffusion processes and the mathematical insight provided into Brownian motion. Now, with its republication in the Classics in Mathematics it is hoped that a new generation will be able to enjoy the classic text of Itô and McKean
Gaussian processes, function theory, and the inverse spectral problem by H Dym( Book )

14 editions published between 1976 and 2008 in English and held by 472 WorldCat member libraries worldwide

Elliptic curves : function theory, geometry, arithmetic by Henry P McKean( Book )

13 editions published between 1997 and 2012 in English and Undetermined and held by 421 WorldCat member libraries worldwide

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. The treatment combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetics. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics. The many exercises with hints scattered throughout the text give the reader a glimpse of further developments
Stochastic differential equations by Mark Kac( Book )

12 editions published between 1967 and 1973 in English and held by 340 WorldCat member libraries worldwide

Probability, geometry, and integrable systems : for Henry McKean's seventy-fifth birthday by Mark A Pinsky( Book )

9 editions published between 2008 and 2011 in English and held by 184 WorldCat member libraries worldwide

Probability : the classical limit theorems by Henry P McKean( Book )

14 editions published in 2014 in English and held by 118 WorldCat member libraries worldwide

The theory of probability has been extraordinarily successful at describing a variety of natural phenomena, from the behavior of gases to the transmission of information, and is a powerful tool with applications throughout mathematics. At its heart are a number of concepts familiar in one guise or another to many: Gauss' bell-shaped curve, the law of averages, and so on, concepts that crop up in so many settings that they are, in some sense, universal. This universality is predicted by probability theory to a remarkable degree. It is the aim of the book to explain the theory, prove classical limit theorems, and investigate their ramifications. The author assumes a good working knowledge of basic analysis, real and complex. From this, he maps out a route from basic probability, via random walks, Brownian motion, the law of large numbers and the central limit theorem, to aspects of ergodic theorems, equilibrium and nonequilibrium statistical mechanics, communication over a noisy channel, and random matrices. Numerous examples and exercises enrich the text
The nonlinear Schroedinger equation with a delta potential and even initial data by Jungwoon Park( )

1 edition published in 2010 in English and held by 10 WorldCat member libraries worldwide

We consider the one-dimensional focusing nonlinear Schrodinger equation (NLS) on R with a delta potential qdelta0(x) and even initial data. Due to the specific choice of the potential and initial data, the equation reduces to the initial boundary value (IBV) problem for the NLS equation on a half-line with homogeneous boundary conditions at x = 0: such problems are known to be integrable by an extension of the inverse scattering method
Universal symplectic forms in the soliton theory by Fedor Soloviev( )

1 edition published in 2010 in English and held by 10 WorldCat member libraries worldwide

Using Krichever-Phong's universal formula, we show that a multiplicative representation linearizes Sklyanian quadratic brackets for a multi-pole Lax function with a spectral parameter. The spectral parameter can be either rational or elliptic. As a by-product, we obtain an extension of a Sklyanin algebra in the elliptic case. We discuss applications of these results to isospectral and isomonodromic equations with discrete time. Krichever-Phong's formula provides a hierarchy of symplectic structures, and we show that there exists a non-trivial cubic bracket in Sklyanin's case. Also, we consider a generalization of the universal formula to variable base curves (suggested in [22]) in the simplest possible case of a rational base curve with moving marked points
Genesis and extinction of solitons arising from individual flows of the Camassa-Holm hierarchy: The rise of a novel Darboux-like transform by Enrique Loubet( )

1 edition published in 2003 in English and held by 9 WorldCat member libraries worldwide

Let m be summable and odd, having the signature of x, and consider the individual flow based upon H = 1/ l with l> 0. With the help of a private "Lagrangian" scale determined by x¯· = -f 2(t, x¯) and x¯(0, x) = x; the updated velocity profile (etXH v(0, ·)) (x¯) & equiv; v(t, x¯(t, x)) is found to shape itself like the soliton Sl (t, x) = 1/(2 l & parr0;e- & vbm0;x-t/2l & vbm0; escaping to -infinity as t & uarr; +infinity, leaving behind a "residual" v(+infinity, x¯(+infinity, x)) having the same spectrum as the one attached to the initial v(0, x) except that l is excised. Doubtless, the map induced by the large time asymptotics v(0, x) v(+infinity, x¯(+infinity, x)), is some counterpart of the standard Darboux transformation for removing/adding the bottom bound state for KdV, with the difference now that you need not proceed in such orderly fashion. I did not succeed in casting such correspondence in the form of an "addition" as in McKean [25], but it should be closely connected to that circle of ideas
Stationary approximations to non-stationary stochastic processes by Uri Keich( )

1 edition published in 1996 in English and held by 9 WorldCat member libraries worldwide

In a different direction, I give a few results concerning the entropy distance: a spectral representations and an explicit computation of the entropy distance between Brownian motion and any stationary Gaussian process
A Baernstein problem of p-harmonic measures and an invariance of p-harmonic functions under boundary perturbations using tug-of-war with noise by Sungwook Kim( )

1 edition published in 2010 in English and held by 9 WorldCat member libraries worldwide

For a general bounded domain O & sub; R2 with n & ge; 2, we will also give several invariance results under perturbations on countable subsets of & part;O. Most of results are new for p> n. The main tool is tug-of-war with noise which was introduced by Yuval Peres and Scott Sheffield in [30]. In particular, when f is a continuous function on & part;O and g is a function on & part;O such that g = f except a point, we provide a necessary and sufficient condition for Hf = Hg where Hf and Hg denote the Perron solutions of f and g, respectively. It turns out that the point of f & ne; g should be of p-harmonic measure zero with respect to O. As a consequence, we can show that E & sub; & part;O is a countable set of p-harmonic measure zero if and only if every point of E is of p-harmonic measure zero. Therefore, the p-harmonic measure is subadditive on {E & sub; O : o p(E, O) = 0 and E is countable}
Gaussian processes, and the inverse spectral problem by H Dym( Book )

1 edition published in 1976 in English and held by 8 WorldCat member libraries worldwide

Stokhasticheskie integraly by Henry P McKean( Book )

5 editions published in 1972 in Russian and held by 8 WorldCat member libraries worldwide

Diffuzionnye processy i ich traektorii by Kiyosi Itō( Book )

5 editions published in 1968 in Russian and English and held by 7 WorldCat member libraries worldwide

Stochastičeskie integraly by Henry P McKean( Book )

1 edition published in 1972 in Russian and held by 4 WorldCat member libraries worldwide

Advances in mathematics( Book )

in Undetermined and English and held by 2 WorldCat member libraries worldwide

Difusion processes and their sample paths by Kiyosi Itō( )

1 edition published in 1996 in English and held by 2 WorldCat member libraries worldwide

My methods in breeding poultry by Henry P McKean( Book )

in English and held by 1 WorldCat member library worldwide

 
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Audience level: 0.62 (from 0.54 for Elliptic c ... to 0.99 for Advances i ...)

Elliptic curves : function theory, geometry, arithmetic
Alternative Names
Henry McKean American mathematician at New York University

Henry McKean Amerikaans wiskundige

Henry McKean amerikansk matematikar

Henry McKean amerikansk matematiker

Henry McKean mathématicien américain

Henry McKean US-amerikanischer Mathematiker

Mac Kean, Henry P.

Mac Kean Henry P. 1930-....

Mac Kean, Henry Pratt 1930-

MacKean, Henry P.

MacKean Henry P. 1930-....

MacKean, Henry Pratt 1930-

Makkin, G.

Makkin, G. 1930-

Mc Kean, Henry P.

Mc Kean Henry P. 1930-....

Mc Kean, Henry Pratt 1930-

McKean, H. P.

McKean, H. P. 1930-

McKean, H. P. 1930- Jr

McKean, H. P. (Henry P.)

McKean, H. P. (Henry P.), 1930-

McKean, H. P. (Henry P.), Jr., 1930-

McKean, H. P. Jr

McKean, Henry.

McKean, Henry 1930-

McKean, Henry P.

McKean, Henry P. 1930- Jr

McKean, Henry P. Jr

McKean, Henry P. Jr. 1930-

McKean, Henry Pratt 1930-

Маккин, Г

Маккин, Г. (Генри П.)

Languages
English (149)

Russian (10)

German (2)

Italian (1)

Covers
Stochastic integralsDiffusion processes and their sample pathsGaussian processes, function theory, and the inverse spectral problemElliptic curves : function theory, geometry, arithmeticProbability, geometry, and integrable systems : for Henry McKean's seventy-fifth birthday