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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.
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.
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.
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
'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.
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.
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.
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.
In 1919, Bieberbach posed a seemingly simple conjecture. That ``simple'' conjecture challenged mathematicians in complex analysis for the following 68 years! In that time, a huge number of papers discussing the conjecture and its related problems were inspired. Finally in 1984, de Branges completed the solution. In 1989, Professor Gong wrote and published a short book in Chinese, The Bieberbach Conjecture, outlining the history of the related problems and de Branges' proof. The present volume is the English translation of that Chinese edition with modifications by the author. In particular, he includes results related to several complex variables. Open problems and a large number of new mathematical results motivated by the Bieberbach conjecture are included. Completion of a standard one-year graduate complex analysis course will prepare the reader for understanding the book. It would make a nice supplementary text for a topics course at the advanced undergraduate or graduate level.
Mathematics is the fundamental knowledge for every scientist. As an academic at the University of Science and Technology of China, Professor Sheng Gong takes his passion for mathematics teaching even further. Besides imparting knowledge to students from the Department of Mathematics, he has created and developed his method of teaching Calculus to help students from physics, engineering and other sciences disciplines understand Calculus faster and deeper in order to meet the needs of applications in their own fields.This book is based on Professor Sheng Gong's 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.