34,352 research outputs found
Cameron C. Rast
Interview with Cameron C. Rast, SCU '93 by Norman F. Martin, SJ, SCU '36Interview with Cameron C. Rast, SCU '93 by Norman F. Martin, SJ, SCU '37SCO Oral History SeriesCameron_Rast.pd
Cameron C. Rast
Interview with Cameron C. Rast, SCU '93 by Norman F. Martin, SJ, SCU '36Interview with Cameron C. Rast, SCU '93 by Norman F. Martin, SJ, SCU '37SCO Oral History SeriesCameron_Rast.pd
Beyond Haar and Cameron-Martin: the Steinhaus support
Motivated by a Steinhaus-like interior-point property involving the Cameron-Martin space of Gaussian measure theory, we study a group-theoretic analogue, the Steinhaus triple , and construct a Steinhaus support, a Cameron-Martin-like subset, in any Polish group G corresponding to ‘sufficiently subcontinuous’ measures μ, in particular for ‘Solecki-type’ reference measures
Cameron Manufacturing Company, 708 W. Martin Street, San Antonio, Texas
Photograph shows exterior of the two-story building occupied by Cameron Mfg. Co. (wholesale automobile accessories), southwest corner of W. Martin and Columbus Streets
El teorema de Cameron-Martin
En el presente trabajo, se demuestra que si H es el subespacio del espacio de Wiener (Ω, F, P) cuyos vectores h son absolutamente continuos y poseen derivada cuadrado integrable, entonces la traslación de P por un h en H resulta en una medida Ph que es equivalente a P y se da una fórmula para su derivada de Radon-Nikodym con respecto a P: la fórmula de Cameron-Martin. Además, se prueba que si h esta´ en el complemento de H, entonces Ph y P son singulares.
En primer lugar, para la prueba de la equivalencia entre Ph y P cuando h está en H y la demostración de la fórmula de Cameron-Martin se estudiará la acción de cambiar la medida de probabilidad original por una equivalente sobre un movimiento Browniano de tal manera que el nuevo proceso estocástico también sea un movimiento Browniano respecto a la nueva medida de probabilidad.
En segundo lugar, para la demostración de la singularidad entre Ph y P cuando h está en el complemento de H se demostrará que los funcionales lineales continuos de Ω tienen una distribución Gaussiana centrada con respecto a la medida de probabilidad P y se dará una fórmula para calcular su varianza. Además, se dará una caracterización de los vectores de H que involucra a los funcionales lineales continuos de Ω.
Finalmente, tanto en la prueba de la equivalencia como en la singularidad se utilizará la
fórmula de Ito, propiedades del cálculo estocástico y de la teoría de la probabilidad.Tesi
AN ALGEBRAIC APPROACH TO THE CAMERON-MARTIN-MARUYAMA-GIRSANOV FORMULA
In this paper, we will give a new perspective to the Cameron-
Martin-Maruyama-Girsanov formula by giving a totally algebraic proof
to it. It is based on the exponentiation of the Malliavin-type differenti-
ation and its adjointness
Extension du théorème de Cameron--Martin aux translations aléatoires
Let G be a Gaussian vector taking its values in a separable Fréchet space E. We denote by its law and by its reproducing Hilbert space. Moreover, let X be an E-valued random vector of law . In the first section, we prove that if is absolutely continuous relative to , then there exist necessarily a Gaussian vector of law and an H-valued random vector Z such that has the law of X. This fact is a direct consequence of concentration properties of Gaussian vectors and, in some sense, it is an unexpected achievement of a part of the Cameron--Martin theorem. In the second section, using the classical Cameron--Martin theorem and rotation invariance properties of Gaussian probabilities, we show that, in many situations, such a condition is sufficient for being absolutely continuous relative to
Cameron-Martin type theorem for a class of non-Gaussian measures
da Silva JL, Erraoui M, Röckner M. Cameron-Martin type theorem for a class of non-Gaussian measures. Stochastic Analysis and Applications . 2024;42(5):896-919.In this article, we study the quasi-translation-invariant property of a class of non-Gaussian measures. These measures are associated with the family of generalized grey Brownian motions. We identify the Cameron-Martin space and derive the explicit Radon-Nikodym density in terms of the Wiener integral with respect to the fractional Brownian motion. Moreover, we show an integration by parts formula for the derivative operator in the directions of the Cameron-Martin space. As a consequence, we derive the closability of both the derivative and the corresponding gradient operators
On Cameron-Martin theorem and almost sure global existence
n this note, we discuss various aspects of invariant measures for nonlinear Hamiltonian PDEs. In particular, we show almost sure global existence for some Hamiltonian PDEs with initial data of the form: "smooth deterministic function + a rough random perturbation", as a corollary to Cameron-Martin Theorem and known almost sure global existence results with respect to Gaussian measures on spaces of functions
Cartiere, Cameron
currentCameron Cartiere is Professor of Public Art and Social Practice in the Faculty of Culture + Community at Emily Carr University of Art + Design in Vancouver, BC, Canada. She is a creative practitioner, writer and researcher specializing in public art, urban renewal, and environmental issues. She is the author of RE/Placing Public Art, co-author of the Manifesto of Possibilities: Commissioning Public Art in the Urban Environment, co-editor of The Practice of Public Art (2008 with Shelly Willis) and co-editor of The Everyday Practice of Public Art: Art, Space, and Social Inclusion (2016 with Martin Zebracki) and co-editor of The Routledge Companion to Art in the Public Realm (2020 with Leon Tan). She is currently working on the anthology, The Failures of Public Art and Participation (2022 with Anthony Schrag). As part of her research on the sustainable effects of public art, Dr. Cartiere co-founded Border Free Bees (with Associate Professor Nancy Holmes, UBC Okanagan). Collaborating with artists, writers, scientists, designers, new media researchers, and municipalities, the BFB project converted neglected greenways across Canada, Mexico, and the USA into native pollinator pastures using public art as the driving force for environmental renewal. Cartiere is also the founder of chART Projects, a public art initiative that specializes in participatory projects (chartprojects.com)
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