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Kiyosi Itô's greatest contribution to probability theory may be his introduction of stochastic differential equations to explain the Kolmogorov-Feller theory of Markov processes. Starting with the geometric ideas that guided him, this book gives an account of Itô's program. The modern theory of Markov processes was initiated by A. N. Kolmogorov. However, Kolmogorov's approach was too analytic to reveal the probabilistic foundations on which it rests. In particular, it hides the central role played by the simplest Markov processes: those with independent, identically distributed increments. To remedy this defect, Itô interpreted Kolmogorov's famous forward equation as an equation that describes the integral curve of a vector field on the space of probability measures. Thus, in order to show how Itô's thinking leads to his theory of stochastic integral equations, Stroock begins with an account of integral curves on the space of probability measures and then arrives at stochastic integral equations when he moves to a pathspace setting. In the first half of the book, everything is done in the context of general independent increment processes and without explicit use of Itô's stochastic integral calculus. In the second half, the author provides a systematic development of Itô's theory of stochastic integration: first for Brownian motion and then for continuous martingales. The final chapter presents Stratonovich's variation on Itô's theme and ends with an application to the characterization of the paths on which a diffusion is supported. The book should be accessible to readers who have mastered the essentials of modern probability theory and should provide such readers with a reasonably thorough introduction to continuous-time, stochastic processes.
Markov processes. --- Stochastic difference equations. --- Itō, Kiyosi, --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Itō, K. --- Ito, Kiesi, --- Itō, Kiyoshi, --- 伊藤淸, --- 伊藤清, --- Itō, Kiyosi, --- Itō, Kiyosi, 1915-2008. --- Stochastic difference equations --- Difference equations --- Stochastic processes --- Abelian group. --- Addition. --- Analytic function. --- Approximation. --- Bernhard Riemann. --- Bounded variation. --- Brownian motion. --- Central limit theorem. --- Change of variables. --- Coefficient. --- Complete metric space. --- Compound Poisson process. --- Continuous function (set theory). --- Continuous function. --- Convergence of measures. --- Convex function. --- Coordinate system. --- Corollary. --- David Hilbert. --- Decomposition theorem. --- Degeneracy (mathematics). --- Derivative. --- Diffeomorphism. --- Differentiable function. --- Differentiable manifold. --- Differential equation. --- Differential geometry. --- Dimension. --- Directional derivative. --- Doob–Meyer decomposition theorem. --- Duality principle. --- Elliptic operator. --- Equation. --- Euclidean space. --- Existential quantification. --- Fourier transform. --- Function space. --- Functional analysis. --- Fundamental solution. --- Fundamental theorem of calculus. --- Homeomorphism. --- Hölder's inequality. --- Initial condition. --- Integral curve. --- Integral equation. --- Integration by parts. --- Invariant measure. --- Itô calculus. --- Itô's lemma. --- Joint probability distribution. --- Lebesgue measure. --- Linear interpolation. --- Lipschitz continuity. --- Local martingale. --- Logarithm. --- Markov chain. --- Markov process. --- Markov property. --- Martingale (probability theory). --- Normal distribution. --- Ordinary differential equation. --- Ornstein–Uhlenbeck process. --- Polynomial. --- Principal part. --- Probability measure. --- Probability space. --- Probability theory. --- Pseudo-differential operator. --- Radon–Nikodym theorem. --- Representation theorem. --- Riemann integral. --- Riemann sum. --- Riemann–Stieltjes integral. --- Scientific notation. --- Semimartingale. --- Sign (mathematics). --- Special case. --- Spectral sequence. --- Spectral theory. --- State space. --- State-space representation. --- Step function. --- Stochastic calculus. --- Stochastic. --- Stratonovich integral. --- Submanifold. --- Support (mathematics). --- Tangent space. --- Tangent vector. --- Taylor's theorem. --- Theorem. --- Theory. --- Topological space. --- Topology. --- Translational symmetry. --- Uniform convergence. --- Variable (mathematics). --- Vector field. --- Weak convergence (Hilbert space). --- Weak topology.
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'A Japanese Constellation' showcases a group of contemporary architects who work in Japan but whose influence extends throughout the world. This book, published in conjunction with the first exhibition to feature three generations of practitioners orbiting Pritzker Architecture Prize laureates Toyo Ito and SANAA, moves beyond the limited framework of the architectural "star system" to illuminate how shared themes may spawn cross-generational lines of descent and influence. Highlighting forty-four designs realized since the year 2001, the volume reveals how structural invention, ceaseless experimentation, nonhierarchical thinking, and novel uses of transparency and lightness inform and strengthen the identity of linked local practices, even as their impact is global. With 336 illustrations as well as essays by Perdo Gadanho, Terunobu Fujimori, Taro Igarashi, and Julian Worrall.
Architecture --- History --- Exhibitions. --- Histoire --- Expositions --- Architecture, Japanese --- 72.071 --- architecten --- Japan --- architectuur --- Toyo Ito --- Kazuyo Sejima --- SANAA --- Ryue Nishizawa --- Sou Fujimoto --- Akihisa Hirata --- Junya Ishigami --- Japanese architecture --- buitenlandse architecten --- Itō, Toyoo, --- Sejima, Kazuyo, --- Nishizawa, Ryūe, --- Fujimoto, Sōsuke, --- Hirata, Akihisa, --- Ishigami, Junʾya, --- 平田晃久, --- 藤本壮介, --- Fujimoto, Sou, --- 西沢立衛, --- 妹島和世, --- 妺島和世, --- Ito, Toyo, --- Yidong, Fengxiong, --- 伊東豊雄, --- SANAA Ltd. --- Kazuyo Sejima + Ryue Nishizawa/Sanaa --- Kazuyo Sejima, Ryue Nishizawa & Associates --- SANAA (Firm) --- SANAA/Sejima + Nishizawa --- Sejima + Nishizawa --- Exhibitions --- Sejima and Nishizawa and Associates Ltd. --- Nishizawa, Ryūe --- Sejima, Kazuyo --- Kazuyo Sejima and Associates --- Sejima, Kazuyo. --- Nishizawa, Ryūe. --- Fujimoto, Sōsuke --- 藤本壮介 --- 石上純也, --- Ishigami, Junya
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Kiyosi Ito, the founder of stochastic calculus, is one of the few central figures of the twentieth century mathematics who reshaped the mathematical world. Today stochastic calculus is a central research field with applications in several other mathematical disciplines, for example physics, engineering, biology, economics and finance. The Abel Symposium 2005 was organized as a tribute to the work of Kiyosi Ito on the occasion of his 90th birthday. Distinguished researchers from all over the world were invited to present the newest developments within the exciting and fast growing field of stochastic analysis. The present volume combines both papers from the invited speakers and contributions by the presenting lecturers. A special feature is the Memoirs that Kiyoshi Ito wrote for this occasion. These are valuable pages for both young and established researchers in the field.
Stochastic analysis --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Distribution (Probability theory. --- Mathematics. --- Global analysis (Mathematics). --- Mathematical statistics. --- Finance. --- Probability Theory and Stochastic Processes. --- Applications of Mathematics. --- Real Functions. --- Analysis. --- Statistical Theory and Methods. --- Quantitative Finance. --- Funding --- Funds --- Economics --- Currency question --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Math --- Science --- Distribution functions --- Frequency distribution --- Characteristic functions --- Statistical methods --- Probabilities. --- Applied mathematics. --- Engineering mathematics. --- Functions of real variables. --- Analysis (Mathematics). --- Statistics . --- Economics, Mathematical . --- Real variables --- Engineering --- Engineering analysis --- Probability --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Mathematical economics --- Econometrics --- Statistical analysis --- Statistical data --- Statistical science --- Methodology --- Itō, Kiyosi, --- Itō, K. --- Ito, Kiesi, --- Itō, Kiyoshi, --- 伊藤淸, --- 伊藤清,
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"Claude Cahun, Maya Deren, and Cindy Sherman were born in different countries, in different generations - Cahun in France in 1894, Deren in Russia in 1917, and Sherman in the United States in 1954. Yet they share a deeply theatrical obsession that shatters any notion of a unified self. All three try out identities from different social classes and geographic environments, extend their temporal range into the past and future, and transform themselves into heroes and villains, mythological creatures, and sex goddesses. The premise of Inverted Odysseys is that this expanded concept of the self - this playful urge to "try on" other roles - is more than a feminist or psychological issue. It is central to our global culture, to our definition of human identity in a world where the individual exists in a multicultural and multemporal environment. This book is an "odyssey" through historical, theoretical, critical, and literary perspectives on the three artists viewed in the context of these issues."--Jacket.
Photography, Artistic --- Visual Arts --- Art, Architecture & Applied Arts --- Photography --- Cahun, Claude, --- Deren, Maya --- Sherman, Cindy --- Derenkowsky, Elenora --- Derenkowsky, Eleanora --- Deren, Elenora --- Deren, Eleanora --- Bardacke, Elenora --- Bardacke, Eleanora --- Hammid, Elenora --- Hammid, Eleanora --- Hammid, Maya --- Ito, Maya --- Courlis, Claude, --- Schwob, Lucy,
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The monograph is devoted to one of the most important trends in contemporary mathematical physics, the investigation of evolution equations of many-particle systems of statistical mechanics. The book systematizes rigorous results obtained in this field in recent years, and it presents contemporary methods for the investigation of evolution equations of infinite-particle systems. The book is intended for experts in statistical physics, mathematical physics, and probability theory and for students of universities specialized in mathematics and physics.
Transport theory. --- Stochastic processes. --- Random processes --- Probabilities --- Boltzmann transport equation --- Transport phenomena --- Mathematical physics --- Particles (Nuclear physics) --- Radiation --- Statistical mechanics --- Boltzmann Equation. --- Hamilton Dynamics. --- Ito-Louiville Equation Boundary Conditions. --- Stochastic Boltzmann Hierarchy. --- System of Hard Spheres.
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Architecture contemporaine, par pays. Cette nouvelle collection Taschen ouvre de nouvelles perspectives sur le monde de l'architecture en mettant le projecteur sur les tendances actuelles par pays. Chaque ouvrage présente de 15 à 20 architectes et agences, des plus établis aux tout nouveaux venus, et met l'accent sur leur contribution à l'évolution très récente de l'architecture dans leur pays. Aux descriptions de leurs derniers projets s'ajoutent de courtes biographies et des informations pratiques utiles. En sillonnant le globe, cette nouvelle collection se propose de célébrer les nuances variées de la personnalité architecturale des pays choisis.
Architecture --- History --- Histoire --- Architecture contemporaine --- Abe, Hitoshi --- Ando, Tadao --- Aoki, Jun --- Ban, Shigeru --- Endo, Shuhei --- Endoh, Masaki --- Hara, Hiroshi --- Ikeda, Masahiro --- Isozaki, Arata --- Itô, Toyô, --- Kishi, Waro --- Kuma, Kengo --- Maki, Fumihiko --- Nishizawa, Ryue --- Sejima, Kazuyo --- Taniguchi, Yoshio --- Tezuka, Takaharu, --- Tezuka, Yui, --- Watanabe, Makoto Sei --- Yokomizo, Makoto --- Tanguchi, Yoshio --- Japon --- 72.037 --- 72.032.12 --- Japan --- architectuur 21e eeuw --- Hitoshe Abe --- Tadao Ando --- Jun Aoki --- Shigeru Ban --- Shuhei Endo --- Endoh & Ikeda --- Hiroshi Hara --- Arata Isozaki --- Toyo Ito --- Waro Kishi --- Kengo Kuma --- Fumihiko Maki --- Kazuyo Sejima --- Ruey Nishizawa/Sanaa --- Yoshio Taniguchi --- Tezuka Architects --- Makoto Sei Watanabe --- Makoto Yokomizo --- Eenentwintigste eeuw (architectuur) --- 21ste eeuw (architectuur) --- Japanse architectuur --- Ando, Tadao, --- Architecture, Western (Western countries) --- Building design --- Buildings --- Construction --- Western architecture (Western countries) --- Art --- Building --- Design and construction --- Kuma, Kengo, --- Architecture, Primitive --- Architecture - Japan - 21st century. --- Ando, Tadao, 1941 --- -Aoki, Jun --- Itô, Toyô, 1941 --- -Kishi, Waro --- Kuma, Kengo, 1954 --- -Maki, Fumihiko --- Tezuka, Takaharu, 1964 --- -Tezuka, Yui, 1969 --- -Watanabe, Makoto Sei
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Architectes --- Architecture --- Architecture japonaise --- Architects --- Architecture, --- Biography. --- History --- Bokura, Masakazu --- Hasegawa, Itsuko --- Takamatsu, Shin --- Yoh, Shoei --- hedendaagse architectuur --- Ando, Tadao --- Ito, Toyo --- anno 1980-1989 --- anno 1990-1999 --- Japan --- Architecture contemporaine --- Architecte --- Ando, Tadao, --- Hara, Hiroshi --- Isozaki, Arata --- Itô, Toyô, --- Maki, Fumihiko --- Sejima, Kazuyo --- Japon --- Modern [style or period] --- architecture [object genre] --- Histoire --- architectuur 20e eeuw --- architecten --- architectuur --- 72.071 --- buitenlandse architecten --- 717.8 --- 20e eeuw (twintigste eeuw) --- architectuur, 20e eeuw, architecten afzonderlijk --- J6500 --- Japan: Art and antiquities -- architecture --- Architecture - Japan - History - 20th century --- Architecture - Japan --- Architects - Japan - Biography --- Ando, Tadao, 1941 --- -Bokura, Masakazu --- Itô, Toyô, 1941 --- -Maki, Fumihiko --- 72.032.12 --- 72.036 --- Japanse architectuur --- 20ste eeuw (architectuur) --- udc --- Twintigste eeuw (architectuur) --- Architectes -- Japon --- Architecture -- Japon --- Architectes japonais --- 1970 - 2000
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Le pavillon de la Serpentine Gallery est un pavillon provisoire construit pour le musée d'art contemporain de Kensington Gardens à Londres, chaque année depuis 2000. La commission de la Serpentine invite un architecte renommé (le prix Pritzker) qui n'a jamais bâti en Angleterre pour concevoir un pavillon d'été. Le pavillon abrite les manifestations culturelles et pédagogiques de la galerie, comme des colloques, performances, concerts, cafés.
Architecture --- Vieira, Alvaro Siza --- Souto de Moura, Eduardo --- Niemeyer, Oscar --- Gehry, Frank --- Thorsen, Kjetil --- Ito, Toyo --- Libeskind, Daniel --- Hadid, Zaha --- Nouvel, Jean --- Eliasson, Olafur --- MVRDV [Rotterdam] --- Serpentine Gallery [London] --- Architecture, Modern --- Arts, Modern --- Pavilions --- Buildings, Temporary --- Serpentine Gallery --- Hadid, Zaha, --- Libeskind, Daniel, --- Itō, Toyoo, --- Niemeyer, Oscar, --- Siza, Álvaro, --- Moura, Eduardo Souto de, --- Koolhaas, Rem, --- Balmond, Cecil --- Olafur Eliasson, --- Thorsen, Kjetil Trædal, --- Gehry, Frank Owen, --- Nouvel, Jean, --- Serpentine Gallery. --- MVRDV --- Sejima and Nishizawa and associates --- 728.7 --- tijdelijke architectuur --- mobiele architectuur --- Serpentine Gallery Pavilions --- Zaha Hadid --- Daniel Libeskind --- Toyo Ito --- Oscar Niemeyer --- Alvaro Siza --- Eduardo Souto de Moura --- Rem Koolhaas --- Cecil Balmond --- Olafur Eliasson --- Kjetil Thorsen --- Frank O. Gehry --- SANAA --- Jean Nouvel --- 721.7 --- 725.91 --- 72.037 --- London --- Londen --- Serpentine Gallery pavilions --- 727.7 --- 72.039 --- Paviljoenen ; Londen ; Serpentine Galery ; 2000-2012 --- Tijdelijke architectuur ; zomerpaviljoenen ; 21ste eeuw --- Siza, Alvaro & Eduardo Souto de Moura --- Koolhaas, Rem & Cecil Balmond --- Eliasson, Olafur & Kjetil Thorsen --- Gehry, Frank O. --- gelegenheidswoningen, mobiele en veranderbare gebouwen --- Tijdelijke architectuur --- Paviljoenen (architectuur) --- 21ste eeuw (architectuur) --- Eenentwintigste eeuw (architectuur) --- Openbare gebouwen ; tentoonstellingsgebouwen --- Gebouwen voor opleiding en wetenschap ; kunstmusea, kunstgalerijen --- Architectuurgeschiedenis ; 2000 - 2050 --- Architectuur --- Bouwkunst --- Architectuur. --- Bouwkunst. --- Gehry, Frank O --- Kiosks --- Kiosques --- Buildings --- Buildings, Demountable --- Demountable buildings --- Temporary buildings --- History --- MVRDV. --- Thorsen, Kjetil Trædal --- Koolhaas, Rem --- Siza, Álvaro --- Moura, Eduardo Souto de --- Ólafur Elíasson --- Architecture, Modern - 21st century --- Arts, Modern - 21st century --- Pavilions - England - London --- Buildings, Temporary - England - London --- Itō, Toyo, --- Siza, Álvaro, --- Ólafur Elíasson --- Serpentine gallery (Londres, GB) --- Constructions --- Constructions provisoires --- Grande-Bretagne --- Londres (GB) --- 1990-.... --- Expositions
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This book explains mathematical theories of a collection of stochastic partial differential equations and their dynamical behaviors. Based on probability and stochastic process, the authors discuss stochastic integrals, Ito formula and Ornstein-Uhlenbeck processes, and introduce theoretical framework for random attractors. With rigorous mathematical deduction, the book is an essential reference to mathematicians and physicists in nonlinear science. Contents:PreliminariesThe stochastic integral and Itô formulaOU processes and SDEsRandom attractorsApplicationsBibliographyIndex
Stochastic partial differential equations. --- Dynamics. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Banach spaces, Stochastic differential equations in --- Hilbert spaces, Stochastic differential equations in --- SPDE (Differential equations) --- Stochastic differential equations in Banach spaces --- Stochastic differential equations in Hilbert spaces --- Differential equations, Partial --- Itô's formula. --- Ornstein-Uhlenbeck processes. --- Stochastic PDEs. --- dynamical behavior. --- random attractors. --- stochastic integrals.
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Maya Deren (1917-1961) was a Russian-born American filmmaker, theorist, poet, and photographer working at the forefront of the American avant-garde in the 1940's and 1950's. Influenced by Jean Cocteau and Marcel Duchamp, she is best known for her seminal film Meshes of the Afternoon (1943), a dream-like experiment with time and symbol, looped narrative and provocative imagery, setting the stage for the twentieth-century's groundbreaking aesthetic movements and films. Maya Deren assesses both the filmmaker's completed work and her numerous unfinished projects, arguing Deren's overarching aesthetic is founded on principles of incompletion, contingency, and openness. Combining the contrasting approaches of documentary, experimental, and creative film, Deren created a wholly original experience for film audiences that disrupted the subjectivity of cinema, its standards of continuity, and its dubious facility with promoting categories of realism. This critical retrospective reflects on the development of Deren's career and the productive tensions she initiated that continue to energize film.
Experimental films --- Independent filmmakers --- Film --- PERFORMING ARTS / Film & Video / History & Criticism. --- Kino --- Spielfilm --- Filmaufnahme --- Filme --- Spielfilme --- Audiovisuelles Material --- Videokassette --- Independent moviemakers --- Motion picture producers and directors --- History and criticism. --- Deren, Maya --- Derenkowsky, Elenora --- Derenkowsky, Eleanora --- Deren, Elenora --- Deren, Eleanora --- Bardacke, Elenora --- Bardacke, Eleanora --- Hammid, Elenora --- Hammid, Eleanora --- Hammid, Maya --- Ito, Maya --- Criticism and interpretation.
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