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- 目次・記事Contents Introduction/ 1 1 Probability theory on simply connected nilpotent Lie groups/ 7 1．1 Continuous convolution semigroups of probabilit......easures/ 7 1．2 Limit theorems/ 15 1．3 Some potential theory/ 21 2 Brownian motions on IH/ 29 2．1 Weak convergence to Brownian motion/ 29 2．1．1 Uniq......ures/ 29 2．1．2 The Lindeberg and Ljapunov theorems/ 31 2．1．3 The domain of normal attraction/ 37 2．1．4 A Gaussian central limit theorem for interm......ties/ 44 2．2．1 The Wiener sausage......e, recurrence, and the Lebesgue needl......58 2．3．1 Local and asymptotic behavior of Brownian motion/ 58 2．3．2 The Crepel-Roynette law of the it...
- 件名... Nilpotent Lie groups. Probability measures. Limit theorems (Probability theory) Brownian motion processes.
- タイトル標目Lecture notes in mathematics (Springer-Verlag) ; 163...
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- 要約等The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior...... ad infinitum. The authors document the winding path of mathematical scholar......ghout history, and most importantly, the thought proces......at resulted in the mastery of their subject. The book implicitly addresses the nature and character of e......y scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope t......is will enable the reader to understand their mode of thinking, and perhaps even to emulate their...
- 件名Mathematicians--Biog...... scientists. Mathematicians. Scientists.
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- 件名Nilpotent Lie groups Probability measures Limit theorems (Probability theory) Brownian motion processes
- 件名（識別子）Nilpotent Lie groups Probability measures Limit theorems (Probability theory) Brownian motion processes
- 一般注記Includes bibliography (p. 125-136) and index
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- 一般注記原タイトル: The Princeton Companion to Mathematics
- その他のタイトルThe Princeton Companion to Mathematics
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- 目次・記事The Fourier transf......urfolds Direct and inverse scatte......tics for solutions of linear dif......erential equations having turnin...... with applications Locally toric manifolds and singular Bohr-......il representation I : intertwining distributions and discrete spect......tial operators and related topics On the ideal structur......anach algebras on semigroups and on their compactifications Equilibrium states on thin energy shells Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture Distribution of resonances in scatte......n barriers Overgroups of root groups in classical groups Forcing ...
- 一般注記Publisher place varies: Providence, R.I
- 関連情報The Fourier transf......urfolds Direct and inverse scatte......tics for solutions of linear dif......erential equations having turnin...... with applications Locally toric manifolds and singular Bohr-......il representation I : intertwining distributions and discrete spect......tial operators and related topics On the ideal structur......anach algebras on semigroups and on their compactifications Equilibrium states on thin energy shells Sheaves on graphs, their homological invariants, and a proof of the Hanna Neumann conjecture Distribution of resonances in scatte......n barriers Overgroups of root groups in classical groups Forcing ...
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- 並列タイトル等（連結）Simulation Dictionary
- 並列タイトル等Simulation Dictionary
- 典拠情報（Author Heading/「を見よ」参照）Japan Society for Simulation Technology JSST
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- 目次・記事Foundations of arithmetic......r analysis in convex geometry Free lattices Connective real K-theory of finite groups Linear holomo......erential equations and classical potential theory Virtual fun......ithmeticity in the theory of automorphic forms The projective hea......ric approximation algorithms Noetherian rings and their applications Algebras, rings and modules : Lie algebras and Hopf algebras ......res in ergodic theory Geometric theory of incompre...... with applications to fluid dynamics Morse theoretic aspects ......s Trace ideals and their applications The Ricci flow : an introduction Ergodic theory via joinings T...
- 関連情報Foundations of arithmetic......r analysis in convex geometry Free lattices Connective real K-theory of finite groups Linear holomo......erential equations and classical potential theory Virtual fun......ithmeticity in the theory of automorphic forms The projective hea......ric approximation algorithms Noetherian rings and their applications Algebras, rings and modules : Lie algebras and Hopf algebras ......res in ergodic theory Geometric theory of incompre...... with applications to fluid dynamics Morse theoretic aspects ......s Trace ideals and their applications The Ricci flow : an introduction Ergodic theory via joinings T...
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- 目次・記事Transformées de Fourier de fonctions à décroissanc...... rapide sur un groupe de Lie semi-s......structures de données Oralisation et apprentissa......gaussiens stationnaires Equations de degre cinq......etes des equations de Pfaff alge......e de la diffusion : (cas non relativiste) E......que ; Proposition donnée par l'Unive......gaussiens stationnaires Mesures ......es algebriques : Integrales de ......boux et cycles limites Contributions au calcul sto......ue L'appréhension des situations probabilistes......s de 12-14 ans : résultats d'un......ogènes Séparation des modules et......our la définition de langages et de traducteurs...
- 関連情報Transformées de Fourier de fonctions à décroissanc...... rapide sur un groupe de Lie semi-s......structures de données Oralisation et apprentissa......gaussiens stationnaires Equations de degre cinq......etes des equations de Pfaff alge......e de la diffusion : (cas non relativiste) E......que ; Proposition donnée par l'Unive......gaussiens stationnaires Mesures ......es algebriques : Integrales de ......boux et cycles limites Contributions au calcul sto......ue L'appréhension des situations probabilistes......s de 12-14 ans : résultats d'un......ogènes Séparation des modules et......our la définition de langages et de traducteurs...
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- 目次・記事Quantum Lie theory : a multilinear ......omorphic functions on compact Rieman......aces Nilpotent groups Algebraic K-theory, Evanston 1980 : proceedings of the conference held at......versity, Evanston, March 24-27, ......imal periodic control Nonequilibrium pro......rticle systems : lectures given at the 3rd Session of the Centro internazionale matematico ......M.E.) held in Montecatini, Italy...... modular forms and dirichlet series : Course given at the University of Maryland, 1969-1970 Com......ules decompose Théorie du potentiel : proceedings of the Colloque Jacqu...... 1983 Tomita's theory of modular ......lbert algebras and its applications Hilbert sche...
- 一般注記Edited by A. Dold and B. Eckmann
- 関連情報Quantum Lie theory : a multilinear ......omorphic functions on compact Rieman......aces Nilpotent groups Algebraic K-theory, Evanston 1980 : proceedings of the conference held at......versity, Evanston, March 24-27, ......imal periodic control Nonequilibrium pro......rticle systems : lectures given at the 3rd Session of the Centro internazionale matematico ......M.E.) held in Montecatini, Italy...... modular forms and dirichlet series : Course given at the University of Maryland, 1969-1970 Com......ules decompose Théorie du potentiel : proceedings of the Colloque Jacqu...... 1983 Tomita's theory of modular ......lbert algebras and its applications Hilbert sche...
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- 目次・記事...in structured continua Topics in random polynomials Workshop on dynamical systems : proceedings of the conference at the International Centre for Theoretical Physic...... analysis, harmonic analysis and applications Progress in p......erential equations : calculus of variations, applications Random geometricall......tors, topology and asymptotic methods Ordinary and partial differential equations, volume III : proceedings of the eleventh Dundee Conference, 1990 N......r-Stokes equations : theory and numerical methods Theory of reproducing kernels and its applications The C*-algebras of......f solvable Lie groups Semigroup theory with applic...
- 関連情報...in structured continua Topics in random polynomials Workshop on dynamical systems : proceedings of the conference at the International Centre for Theoretical Physic...... analysis, harmonic analysis and applications Progress in p......erential equations : calculus of variations, applications Random geometricall......tors, topology and asymptotic methods Ordinary and partial differential equations, volume III : proceedings of the eleventh Dundee Conference, 1990 N......r-Stokes equations : theory and numerical methods Theory of reproducing kernels and its applications The C*-algebras of......f solvable Lie groups Semigroup theory with applic...
- 並列タイトル等Research notes in mathematics
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