In the theory of random processes the term 'ergodicity' has a wide variety of meanings. In the theory of stationary processes ergodicity is often identified with metric transitivity. In the theory of Markov processes, the word ergodic is applied to theorems of both the existence of transition probability limits and on the convergence of mean value ratios of these transition probabilities. In addition, there are also 'ergodic theorems' on the convergence of distributions of shifted random processes. In this monograph, the term 'ergodic' is understood in its original sense, i.e. the one it had when it was first adopted by the theory of random processes from statistical mechanics and Boltzmann's theory of gases. In this book, an ergodic theorem refers to any statement about the existence of a mean value with respect to trajectories of a random process taken with respect to time. The author takes the view that problems of the existence of time means, and their equality to phase means, are interesting without any assumptions about the distribution of the random process.

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

Events are becoming more complex as their range of functions grows, as: meeting places, creative spaces, economic catalysts, social drivers, community, image makers, business forums, and network nodes. Effective design can produce more successful business models that can help to sustain cultural and sporting activities even in difficult economic times. This process requires creative imagination, and a design methodology or in other words Imagineering .
This book brings together a wide range of international experts in the fields of events, design and Imagineering to examine the event design process. It explores the entire event experience from conception and production to consumption and co-creation. By doing so it offers insight into effective strategies for coping with the shift in value creation away from transactional economic value towards social and relational value which benefit a range of stakeholders from the community to policy makers. Mega-events, small community events, business events and festivals in eight different countries are examined providing an international view of social issues in event design.
A wide selection of current research perspectives are employed, integrating both theoretical and applied contributions. The multidisciplinary nature of the material means that it will appeal to a broad academic audience, such as art and design, cultural studies, tourism, events studies, sociology and hospitality.
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The Interior Architecture Theory Reader presents a global compilation that collectively and specifically defines interior architecture. Diverse views and comparative resources for interior architecture students, educators, scholars, and practitioners are needed to develop a proper canon for this young discipline. As a theoretical survey of interior architecture, the book examines theory, history, and production to embrace a full range of interior identities in architecture, interior design, digital fabrication, and spatial installation. Authored by leading educators, theorists, and practitioners, fifty chapters refine and expand the discourse surrounding interior architecture.

Provides a complete, easily replicated design process that sees the designer-as-author, the landscape-as-text, and the participant, user-as-reader. It is also unique in the foundation it sets for learning design, the application of that foundation to doing landscape, architectural or interior design, and the call for landscape architectural design to explicitly address a greater inclusion of people, those left to live with what is designed. Illustrated with locations and landmarks in Canada and the United States. A few are from England, France, Germany, Czechoslovakia, and Italy. They are of readily recognizable features such as walkways, paths, street scenes, and landmarks. Questions and thought-provoking situations provide instructors with discussion points and reader with self-reflective triggers that illuminate their taken-for-granted world.

This monograph presents a new approach to the investigation of ergodicity and stability problems for homogeneous Markov chains with a discrete-time and with values in a measurable space. The main purpose of this book is to highlight various methods for the explicit evaluation of estimates for convergence rates in ergodic theorems and in stability theorems for wide classes of chains. These methods are based on the classical perturbation theory of linear operators in Banach spaces and give new results even for finite chains. In the first part of the book, the theory of uniform ergodic chains with respect to a given norm is developed. In the second part of the book the condition of the uniform ergodicity is removed.

This monograph is divided into five parts and opens with elements of the theory of singular integral equation solutions in the class of absolutely integrable and non-integrable functions. The second part deals with elements of potential theory for the Helmholtz equation, especially with the reduction of Dirichlet and Neumann problems for Laplace and Helmholtz equations to singular integral equations. Part three contains methods of calculation for different one-dimensional and two-dimensional singular integrals. In this part, quadrature formulas of discrete vortex pair type in the plane case and closed vortex frame type in the spatial case for singular integrals are described for the first time. These quadrature formulas are applied to numerical solutions of singular integral equations of the 1st and 2nd kind with constant and variable coefficients, in part four of the book. Finally, discrete mathematical models of some problems in aerodynamics, electrodynamics and elasticity theory are given.

This volume contains the papers from the Sixth Eugene Lukacs Symposium on ''Multidimensional Statistical Analysis and Random Matrices'', which was held at the Bowling Green State University, Ohio, USA, 29--30 March 1996. Multidimensional statistical analysis and random matrices have been the topics of great research. The papers presented in this volume discuss many varied aspects of this all-encompassing topic. In particular, topics covered include generalized statistical analysis, elliptically contoured distribution, covariance structure analysis, metric scaling, detection of outliers, density approximation, and circulant and band random matrices.

The 1950s house was a scientific triumph. It had been designed in a laboratory and tested on inhabitants of all ages before being built for the masses. Never had the home been so contemporary - antiques and period styles were banished for an entire decade as householders concentrated on achieving a complete 'look' for the home. Mid-Century Modern explores the interior decor of this time, concentrating on all aspects of a home's decoration - walls, flooring, surfaces, lighting and, of course, furniture. The book goes on to feature case studies illustrating beautiful contemporary homes that exhibit the mid-century style in an exemplary way and reveal how the 1950s look, complete with collector's pieces, can be mixed and matched with interior elements of other styles and from other eras.

The green architecture movement is a worldwide phenomenon that addresses sustainability and a parallel awareness of how the built world is enriched by nature. This lavishly illustrated book presents the most beautiful and innovative buildings from around the world and explores how they incorporate plants and architecture in both interior design and construction. With inspiring projects and practical tips for both the professional and the enthusiast, the author explores the best of what's green in houses large and small, apartment buildings, and offices.

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

Computer-aided modelling is one of the most effective means of getting to the root of a natural phenomenon and of predicting the consequences of human impact on the environment. General methods of numerical modelling of random processes have been effectively developed and the area of applications has rapidly expanded in recent years. This book deals with the development and investigation of numerical methods for simulation of random processes and fields. The book opens with a description of scalar and vector-valued Gaussian models, followed by non-Gaussian models. Furthermore, issues of convergence of approximate models of random fields are studied. The last part of this book is devoted to applications of stochastic modelling, in which new application areas such as simulation of meteorological processes and fields, sea surface undulation, and stochastic structure of clouds, are presented.

Incorporating both formal details and welcoming elements, a sophisticated and balanced look tailored to a sense of home, as shown through the portfolio of Foley & Cox Foley & Cox is a New York-based interior design firm renowned for serene spaces subtly layered with color and texture that create a sense of welcome and comfort. Taking creative cues directly from their clients-their perceptions, preferences, and passions-the firm creates serene interiors infused with personal style. This elegant book presents 24 homes, ranging from elegant prewar apartments in Manhattan to retreats in the Hamptons and summer places along the coast of New England and in Europe, and even to a private jet and a yacht that cruises the Mediterranean. What unites these spaces is an overall balance and elegance, infused with luxurious fabrics in subtle tonal variations and a judicious use of highlight color, often in the artwork and accessories. Founder Michael Cox is a master at creating settings for art collections and selecting distinctive vintage pieces that add a sophisticated touch to the rooms.

A passion for luxury and beauty propels the multifaceted work of acclaimed international architect and interior designer Robert Couturier. Robert Couturier's aesthetic is a dialogue between Old World elegance and contemporary design. His masterful approach effortlessly brings eras together, for example a Louis XVI commode with a 1960s lamp. Couturier's name has become synonymous with continental and international style, and he is known for composing adventurous rooms that have a witty flair. All his interiors extol the importance of how a home should stimulate the five senses, from the tactile feel of upholstery to the visual presentation of objects that leads a person through a space. The book opens with a tour of Couturier's country retreat in bucolic Kent, Connecticut. Composed of neoclassical-style pavilions, early American guesthouses, and beautiful gardens, the house features imaginative rooms that are filled with his collections of European art, furniture, and decorative objects. A selection of the designer's other projects--from smart contemporary apartments to romantic Mexican villas to a stately English manor--provides further inspiration.

This book is primarily concerned with the space planning of restaurants and, since their basic elements are much the same throughout the civilised world, is directed at an international readership. Although concentrating on the average restaurants, we also look at the wider commercial range-banquet ~ooms, cafeterias, fast food establishments, drug stores, sandwich bars and cafes-as well as private dining rooms, outdoor and in-transit situations. Where a particular environment is not specifically singled out, its elements can be deduced by comparison to similar spaces. At a detailed planning level, the design of dining spaces is not a well investigated and documented field. The present work attempts to fill this gap and address the designer's need for hard facts, dimensions, and sound spatial guidelines. The author of this book firmly believes that given rigorous scrutiny of all relevant data almost any design problem can be solved; and that the process of arriving at a solution (or recommendation) can and should be explicable in unequivocal terms.

This book is the result of 20 years of investigations carried out by the author and his colleagues in order to bring closer and, to a certain extent, synthesize a number of well-known results, ideas and methods from the theory of function approximation, theory of differential and integral equations and numerical analysis. The book opens with an introduction on the theory of function approximation and is followed by a new approach to the Fredholm integral equations to the second kind. Several chapters are devoted to the construction of new methods for the effective approximation of solutions of several important integral, and ordinary and partial differential equations. In addition, new general results on the theory of linear differential equations with one regular singular point, as well as applications of the various new methods are discussed.

In this planning guide, the renowned lighting designer Ulrike Brandi documents all her findings on the topics of lighting design, daylight, sustainability and healthy living spaces. It is a challenge to create holistic lighting design in times of advancing mechanization, but it is the right thing to do in terms of achieving sustainability in the use of light and energy. The renowned lighting designer Ulrike Brandi explains this attitude with the words, "It's better to make the most of natural light from the start, rather than compensating with artificial light afterwards". The guideline Light Nature Architecture proves how essential, but also simple, it is to integrate natural light into architectural planning and thus into the design of healthy and pleasant living and working environments. This richly illustrated handbook is structured based on natural light phenomena and combines Ulrike Brandi's wealth of experience, theoretical principles, and design methods to create a reference work and source of inspiration. Richly illustrated basic work for holistic lighting design Insight into the extensive practical experience of the renowned lighting designer Ulrike Brandi Source of inspiration for professional planners, architects and laypeople Available in English and German (Licht Natur Architektur, ISBN 9783035624083)

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

This document was commissioned by the Facility Guidelines Institute as the sole reference for acoustics in health care facilities. It was written by the Health Care Acoustics Working Group, a permanent committee of the Acoustics Research Council (ARC), comprised of members of leading professional societies in acoustics, noise control engineering, acoustical consulting and related professions. ARC organized the health care Working Group in 2004-5 drawing its members from ten constituencies that range from medicine to law, public policy, architecture, design and engineering in order to provide constructive, guidance on sound and vibration based on research and best practices. "Sound and Vibration 2.0" has been adopted as the sole reference standard for acoustics in health care facilities by: the 2010 FGI/ASHE "Guidelines for the Design and Construction of Healthcare Facilities" (used in 60 countries); the US Green Building Council s "LEED for Healthcare" (used in 87 countries); The Green Guide for Health Care V2.2; and the International Code Council's IGCC (2011).

Sound and vibration are topics of increasing prominence in the design, construction, and operation of healthcare facilities. A satisfactory acoustical environment in a healthcare facility is now viewed as an essential component of effective healthcare.

Sensible acoustical and privacy planning in the early design stages of a healthcare facility project can be solved effectively and affordably with a few strokes of the designer's pencil. The recommended minimum design requirements presented in this work are therefore intended to aid designers in achieving satisfactory acoustical and privacy environments in healthcare facilities. This handbook includes comprehensive, practical, and measureable guidelines for all aspects of acoustics in the design, construction, and evaluation of all types of healthcare facilities, including large general hospitals, specialized patient care facilities, and ambulatory patient care facilities.

In his best-selling first book, Gil Schafer explored the qualities that make a house a home architecture, landscape, and decoration. In his eagerly awaited second book, Schafer shows how traditional and classical principles can blend with a sense of place to create beautifully realized homes in a range of styles, all with the satisfying tensions of fancy and simple, past and present. In part one, Schafer shares his essential tool kit for building a house that succeeds in both craft and emotion: from how to read the landscape to incorporating memory to learning how to balance both fancy and simple elements. In part two, he presents seven homes in depth, including an apartment with a view of Central Park, a hillside cottage in Northern California, an updated Connecticut Colonial on a large farm, an Adirondacks camp on Lake Placid, and a stunning A-frame on the coast of Maine. While each is unique, all the homes are beautifully livable, at ease on the land they occupy, in style, scale, and materials: models that readers will want to emulate in their own homes.

This series investigates the historical, theoretical and practical aspects of interiors. The volumes in the Interior Architecture series can be used as handbooks for the practitioner and as a critical introduction to the history of material culture and architecture. Hotels occupy a particular place in popular imagination. As a place of exclusive sociability and bohemian misery, a site of crime and murder and as a hiding place for illicit liaison, the hotel has embodied the dynamism of the metropolis since the eighteenth century. This book explores the architectural significance of hotels throughout history and how their material construction has reflected and facilitated the social and cultural practices for which they are renowned. Contemporary developments in the planning and design of hotels are addressed through a series of interviews and case studies. Illustrated throughout, this book is an innovative and important contribution to architectural and interior design theory literature.

A strong visual identity is hard to miss, instantly catching the eye. In children's spaces, it is best tailored with their unique outlook in mind as children perceive the world around them differently from the rest of us, responding to specific sets of details. Design and Visual Identity for Children's Spaces shares a variety of contemporary creative designs for children's spaces all over the world; they combine children-friendly visual elements with smart space design to tailor comfortable and conducive environments where they can learn, have fun, flourish, and be themselves. Over 35 projects that focus on educational institutions, enrichment centres, recreational clubs, play zones, concept stores, and children's hospitals, among others, share concepts that transform spaces to make them more relatable for children through thoughtfully considered visual identity and interior layouts that resonate specifically with them. Designers dig deep, even consult with children, to create designs that call out to them in fun, inspiring spaces that unleash imaginations, while they foster a sense of connection and belonging. Discover the rationales and inspirations behind these concepts, which also unify aspects of the business with a cohesive brand identity to promote the desired brand impressions and top-of-the-mind consumer recall. Through the projects in these pages, the reader is offered a host of thoughtful and creative solutions in designing children's spaces, making this book a handy tool for anyone in the business of managing children's spaces, or keen on designing children's spaces.

The rooms we live in are always more than just four walls. As we decorate these spaces and fill them with objects and friends, they shape our lives and become the backdrop to our sense of self. One day, the houses will be gone, but even then, traces of the stories and the memories they contained will remain. In this dazzling work of imaginative re-construction, Edward Hollis takes us to the sites of five great spaces now lost to history and pieces together the fragments he finds there to re-create their vanished chambers.
From Rome's palatine to the old Palace of Westmisnter and the Petit Trianon at Versailles, and from the sets of the MGM studios in Hollywood to the pavilions of the Crystal Palace and his own grandmother's sitting room, "The Memory Palace" is a glittering treasure trove of luminous forgotten places and the people who, for a short time, made them their home.

The Wall Wizard brings his painting expertise to homeowners in this innovative and fun follow-up to his first book, "Painting Secrets."

"Faux Finish Secrets" focuses attention and detail on decorative (faux) techniques, such as sponging, ragging, combing, and color wash.

Illustrated step-by-step instructions demonstrate 15 of the most-asked-for faux effects, along with ideas for endless variations and combinations.

Real-life questions and comments from audiences at the Wall Wizard's popular seminars provide the basis for topics and material in this book.

Includes important information on surface preparation and basic painting condensed from the pages of "Painting Secrets."