Orthogonal Polynomials in the Spectral Analysis of Markov Processes PDF Download

Author: Manuel Domínguez de la Iglesia
Publisher: Cambridge University Press
ISBN: 1009035207
Category : Mathematics
Languages : en
Pages : 348

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Book Description
In pioneering work in the 1950s, S. Karlin and J. McGregor showed that probabilistic aspects of certain Markov processes can be studied by analyzing orthogonal eigenfunctions of associated operators. In the decades since, many authors have extended and deepened this surprising connection between orthogonal polynomials and stochastic processes. This book gives a comprehensive analysis of the spectral representation of the most important one-dimensional Markov processes, namely discrete-time birth-death chains, birth-death processes and diffusion processes. It brings together the main results from the extensive literature on the topic with detailed examples and applications. Also featuring an introduction to the basic theory of orthogonal polynomials and a selection of exercises at the end of each chapter, it is suitable for graduate students with a solid background in stochastic processes as well as researchers in orthogonal polynomials and special functions who want to learn about applications of their work to probability.

Author: Miguel Botto-Tobar
Publisher: Springer Nature
ISBN: 3030320227
Category : Technology & Engineering
Languages : en
Pages : 557

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Book Description
This book constitutes the proceedings of the 1st International Conference on Advances in Emerging Trends and Technologies (ICAETT 2019), held in Quito, Ecuador, on 29–31 May 2019, jointly organized by Universidad Tecnológica Israel, Universidad Técnica del Norte, and Instituto Tecnológico Superior Rumiñahui, and supported by SNOTRA. ICAETT 2019 brought together top researchers and practitioners working in different domains of computer science to share their expertise and to discuss future developments and potential collaborations. Presenting high-quality, peer-reviewed papers, the book discusses the following topics: Technology Trends Electronics Intelligent Systems Machine Vision Communication Security e-Learning e-Business e-Government and e-Participation

Author: Maximiliano Nardelli
Publisher: Springer Nature
ISBN: 3030656063
Category : Science
Languages : en
Pages : 372

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Book Description
Although all living beings modify their environment, human beings have acquired the ability to do so on a superlative space-time scale. As a result of industrialization and the use of new technologies, the anthropogenic impact has been increasing in the last centuries, causing reductions in the sizes or the extinction of numerous wild populations. In this sense, from the field of conservation genetics, various efforts have been made in recent decades to provide new knowledge that contributes to the conservation of populations, species, and habitats. In this book, we summarize the concrete contributions of researchers to the conservation of the Neotropical mammals using Molecular Ecology techniques. The book is divided into three major sections. The first section provides an up-to-date review of the conservation status of Neotropical mammals, the applications of the molecular markers in its conservation, and the use of non-invasive and forensic genetic techniques. The second and third sections present, respectively, a series of case studies in various species or taxonomic groups of Neotropical mammals.

Author: Jan Janas
Publisher: Springer Science & Business Media
ISBN: 3764381353
Category : Mathematics
Languages : en
Pages : 261

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Book Description
This volume contains lectures delivered at the International Conference Operator Theory and its Applications in Mathematical Physics (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics.

Author: Philippe Marin
Publisher: World Bank Publications
ISBN: 0821379577
Category : Technology & Engineering
Languages : en
Pages : 212

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Book Description
'Public-Private Partnerships for Urban Water Utilities: A Review of Experiences in Developing Countries' analyzes the market growth of Public-Private Partnerships (PPPs) in the developing world since 1990, and the performance of more than 65 large water PPP projects representing more than 100 million people for access, service quality, operational efficiency, and tariff levels. Although a relatively small portion of the water utilities in the developing world are operated under PPPs (about 7 percent in 2007), the urban population served by private water operators has grown every year since 1990. Despite many difficulties encountered by PPP projects and a few contract terminations, a large majority of contracts awarded since 1990 are still in place. The track record for improving service and efficiency reaffirms the value of PPPs to help turn around poorly performing water utilities, even though the level of private financing did not match initial expectations. Over time, a more realistic market has developed, the number of private investors from developing countries has grown, and contract designs have become more pragmatic concerning risk allocations between partners. The water sector has many features that set it apart from other infrastructure sectors. This book suggests the need for careful consideration of those specificities to successfully involve private operators. Although concessions with private financing have worked in a few places, contractual arrangements that combine private operation with public financing appear to be the most sustainable option in many countries. Policy makers, stakeholders, and donors need to remain heavily engaged in the water sector, especially in the poorest countries and during a global financial crisis. This book contributes to a better understanding of the various options to tackle the many challenges of providing water and sanitation services to urban populations in the developing world.

Author: Colette Guillopé
Publisher:
ISBN: 9783000655333
Category : Social Science
Languages : en
Pages : 244

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Book Description
This book reports on a three-year project (2017-2019) funded by the International Science Council and involving eleven scientific partner organizations. The main goal of the project was to investigate the gender gap in STEM disciplines from different angles, globally and across disciplines. We have performed (i) a global survey of scientists with more than 32,000 responses; (ii) an investigation of the effect of gender in millions of scientific publications; and (iii) the compilation of best-practice initiatives that address the gender gap in Mathematical, Computing, and Natural Sciences at various levels. We conclude that the gender gap is very real in science and mathematics. We present methodologies, insights, and tools that have been developed throughout the project, as well as a set of recommendations for different audiences: instructors and parents; educational institutions; scientific unions and other organizations responsible for science policy.

Author: Alexey Bolsinov
Publisher: Birkhäuser
ISBN: 3319335030
Category : Mathematics
Languages : en
Pages : 148

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Book Description
Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.

Author: Oleg Figovsky
Publisher: CRC Press
ISBN: 1351858629
Category : Science
Languages : en
Pages : 449

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Book Description
Green nanotechnology has two goals: producing nanomaterials and products without harming the environment or human health, and producing nanoproducts that provide solutions to environmental problems. It uses existing principles of green chemistry and green engineering to make nanomaterials and nanoproducts without toxic ingredients, at low temperatures using less energy and renewable inputs wherever possible, and using lifecycle thinking in all design and engineering stages. The production and process aspects of green nanotechnology involve both making nanomaterials in a more environmentally benign fashion and using nanomaterials to make current chemical processes more environmentally acceptable. This book contains information about advanced nanomaterials that can be produced without harming the environment or human health. This encompasses the production of nanomaterials without environmental toxicity, at room temperature and with the use of renewable energy sources. The book contains the descriptions and results of theoretical and experimental researches in the field of environment friendly nanotechnology carried out over the past decade by the scientific team of company Polymate Ltd.-International Nanotechnology Center (Israel) under leadership of Prof. O. Figovsky. Developments of the Company have been used in industry and agriculture and protected by more than 25 patents of USA, Germany and Russia.

Author: Rafael Martinez-Guerra
Publisher: Springer
ISBN: 3319030477
Category : Technology & Engineering
Languages : en
Pages : 143

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Book Description
The high reliability required in industrial processes has created the necessity of detecting abnormal conditions, called faults, while processes are operating. The term fault generically refers to any type of process degradation, or degradation in equipment performance because of changes in the process's physical characteristics, process inputs or environmental conditions. This book is about the fundamentals of fault detection and diagnosis in a variety of nonlinear systems which are represented by ordinary differential equations. The fault detection problem is approached from a differential algebraic viewpoint, using residual generators based upon high-gain nonlinear auxiliary systems (‘observers’). A prominent role is played by the type of mathematical tools that will be used, requiring knowledge of differential algebra and differential equations. Specific theorems tailored to the needs of the problem-solving procedures are developed and proved. Applications to real-world problems, both with constant and time-varying faults, are made throughout the book and include electromechanical positioning systems, the Continuous Stirred Tank Reactor (CSTR), bioreactor models and belt drive systems, to name but a few.

Author: Alexey N. Karapetyants
Publisher: Springer Nature
ISBN: 3030774937
Category : Mathematics
Languages : en
Pages : 585

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Book Description
This volume is part of the collaboration agreement between Springer and the ISAAC society. This is the first in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University in Rostov-on-Don, Russia. This volume is focused on general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topic is related to the study of complex multiparameter objects required when considering operators and objects with variable parameters.