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Technological improvements have greatly increased the ability of marine scientists to collect and analyze data over large spatial scales, and the resultant insights attainable from interpreting those data vastly increase understanding of poplation dynamics, evolution and biogeography. Marine Metapopulations provides a synthesis of existing information and understanding, and frames the most important future directions and issues.

• First book to systematically apply metapopulation theory directly to marine systems
• Contributions from leading international ecologists...

This book is summarizing the results of the workshop "Uniform Distribution and Quasi-Monte Carlo Methods" of the RICAM Special Semester on "Applications of Algebra and Number Theory" in October 2013.

The survey articles in this book focus on number theoretic point constructions, uniform distribution theory, and quasi-Monte Carlo methods. As deterministic versions of the Monte Carlo method, quasi-Monte Carlo rules enjoy increasing popularity, with many fruitful applications in mathematical practice, as for example in finance, computer graphics, and biology.

The goal of this...

Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. This comprises, for example, error analysis in reproducing kernel Hilbert spaces, fast component-by-component constructions, the curse of dimensionality and tractability, weighted integration and approximation problems, and applications of lattice rules.