This book enables readers to understand, model, and predict complex dynamical systems using new methods with stochastic tools. The author presents a unique combination of qualitative and quantitative modeling skills, novel efficient computational methods, rigorous mathematical theory, as well as physical intuitions and thinking. An emphasis is placed on the balance between computational efficiency and modeling accuracy, providing readers with ideas to build useful models in practice. Successful modeling of complex systems requires a comprehensive use of qualitative and quantitative modeling approaches, novel efficient computational methods, physical intuitions and thinking, as well as rigorous mathematical theories. As such, mathematical tools for understanding, modeling, and predicting complex dynamical systems using various suitable stochastic tools are presented. Both theoretical and numerical approaches are included, allowing readers to choose suitable methods in different practical situations. The author provides practical examples and motivations when introducing various mathematical and stochastic tools and merges mathematics, statistics, information theory, computational science, and data science. In addition, the author discusses how to choose and apply suitable mathematical tools to several disciplines including pure and applied mathematics, physics, engineering, neural science, material science, climate and atmosphere, ocean science, and many others. Readers will not only learn detailed techniques for stochastic modeling and prediction, but will develop their intuition as well. Important topics in modeling and prediction including extreme events, high-dimensional systems, and multiscale features are discussed.

Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. Understand and evaluate the delivery of Carrier Ethernet using different technologies Carrier Ethernet is rapidly becoming the de facto platform for offering the next generation of high-bandwidth multimedia applications. Delivering Carrier Ethernet: Extending Ethernet Beyond the LAN provides, for the very first time, an in-depth assessment of the various network solutions that can be used to deliver Carrier Ethernet services. The book is based on extensive real-world deployments and is written by globally renowned experts. A standard solution framework is used consistently throughout to address each underlying technology, its benefits and pitfalls, deployment approaches, ongoing developments, economic assessments, and key vendors promoting the solution. The potential evolution of Carrier Ethernet itself is also considered in detail. Copper HFC (Hybrid Fiber-Coax) PONs (Passive Optical Networks) TDM (Time Division Multiplexing) Fiber and WDM (Wavelength Division Multiplexing) Optical Wireless Mesh Network/Free Space Optics SONET (Synchronous Optical NETworking)/MSPP (Multi-Service Provisioning Platform) RPR (Resilient Packet Ring) Bridging/Switching MPLS (MultiProtocol Label Switching) WiMAX/WiMAC