Dynamical Scale Transform In Tropical Geometry

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Dynamical Scale Transform In Tropical Geometry

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Author : Tsuyoshi Kato
language : en
Publisher: World Scientific
Release Date : 2016-10-21

Dynamical Scale Transform In Tropical Geometry written by Tsuyoshi Kato and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-21 with Mathematics categories.

This book provides comprehensive analysis of dynamical systems in tropical geometry, which include the author's significant discoveries and pioneering contributions. Tropical geometry is a kind of dynamical scale transform which connects real rational dynamics with piecewise linear one presented by max and plus algebras. A comparison method is given which estimates orbits corresponding to different rational dynamics by reduction to the piecewise linear dynamics.Both rational and piecewise linear dynamics appear in many important branches of mathematics. Tropical geometry can play a role or function to bridge between different subjects in mathematics. This book contains detailed accounts of basic strategy on how to apply tropical geometry to analysis in various mathematical subjects by presenting several applications which include: a rough classification of partial differential equations from the point of view of global behavior of solutions; construction of the infinite quasi-recursive rational dynamics, based on the automaton of the Burnside group by Aleshin-Grigorchuk; study on nearly periodicity of the pentagram map on the moduli space of the twisted polygons; spectral coincidence between lamplighter group in theory of automata groups and Box and ball systems corresponding to KdV equation in soliton theory.This book is self-contained, and detailed accounts of theory of automata groups, BBS and the pentagram map are also included.

Dynamics Of The Box Ball System With Random Initial Conditions Via Pitman S Transformation

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Author : David A. Croydon
language : en
Publisher: American Mathematical Society
Release Date : 2023-03-09

Dynamics Of The Box Ball System With Random Initial Conditions Via Pitman S Transformation written by David A. Croydon and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-09 with Mathematics categories.

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Computer Algebra In Scientific Computing

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Author : François Boulier
language : en
Publisher: Springer Nature
Release Date : 2020-10-17

Computer Algebra In Scientific Computing written by François Boulier and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-17 with Computers categories.

This book constitutes the refereed proceedings of the 22nd International Workshop on Computer Algebra in Scientific Computing, CASC 2020, held in Linz, Austria, in September 2020. The conference was held virtually due to the COVID-19 pandemic. The 34 full papers presented together with 2 invited talks were carefully reviewed and selected from 41 submissions. They deal with cutting-edge research in all major disciplines of computer algebra. The papers cover topics such as polynomial algebra, symbolic and symbolic-numerical computation, applications of symbolic computation for investigating and solving ordinary differential equations, applications of CAS in the investigation and solution of celestial mechanics problems, and in mechanics, physics, and robotics.

Multiple Time Scale Dynamics

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Author : Christian Kuehn
language : en
Publisher: Springer
Release Date : 2015-02-25

Multiple Time Scale Dynamics written by Christian Kuehn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-25 with Mathematics categories.

This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.

Ring Theory And Algebraic Geometry

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Author : A. Granja
language : en
Publisher: CRC Press
Release Date : 2001-05-08

Ring Theory And Algebraic Geometry written by A. Granja and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-05-08 with Mathematics categories.

Focuses on the interaction between algebra and algebraic geometry, including high-level research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics.

Handbook Of Quantum Gravity

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Author : Cosimo Bambi
language : en
Publisher: Springer Nature
Release Date : 2024-12-03

Handbook Of Quantum Gravity written by Cosimo Bambi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-03 with Science categories.

The search for a theory of quantum gravity is one of the most important and fascinating problems in modern theoretical physics. While we do not have yet a complete theory of quantum gravity, significant advancements have been done in the past decades. In this handbook, every section is dedicated to a specific approach towards a theory of quantum gravity and is edited by the leading experts in the field. This book represents both a valuable resource for graduate students and an important reference for researchers in quantum gravity.

Dynamic Control And Optimization

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Author : Tatiana V. Tchemisova
language : en
Publisher: Springer Nature
Release Date : 2022-12-29

Dynamic Control And Optimization written by Tatiana V. Tchemisova and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-29 with Mathematics categories.

This book contains the revised selected papers of the International Conference on Dynamic Monitoring and Optimization, DCO 2021, held in Aveiro, Portugal, February 3-5, 2021. The papers present achievements in the most challenging areas of dynamic control, optimization and related topics, including recent results in nonlinear dynamic control systems, calculus of variations, sub-Riemannian geometry, conventional differential equations, control of PDE evolution, stochastic differential equations, the spread of acoustic waves in elastic media, dynamics in space-time, Nondegenerate abnormality, controllability, and the infimum gap phenomena in optimization and optimal control with state constraints.

Multi Scale Biogeochemical Processes In Soil Ecosystems

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Author : Yu Yang
language : en
Publisher: John Wiley & Sons
Release Date : 2022-03-23

Multi Scale Biogeochemical Processes In Soil Ecosystems written by Yu Yang and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-23 with Science categories.

MULTI-SCALE BIOGEOCHEMICAL PROCESSES IN SOIL ECOSYSTEMS Provides a state-of-the-art overview of research in soil biogeochemical processes and strategies for greenhouse gas mitigation under climate change Food security and soil health for the rapidly growing human population are threatened by increased temperature and drought, soil erosion and soil quality degradation, and other problems caused by human activities and a changing climate. Because greenhouse gas emission is the primary driver of climate change, a complete understanding of the cycles of carbon and major nutritional elements is critical for developing innovative strategies to sustain agricultural development and environmental conservation. Multi-Scale Biogeochemical Processes in Soil Ecosystems: Critical Reactions and Resilience to Climate Changes is an up-to-date overview of recent research in soil biogeochemical processes and applications in ecosystem management. Organized into three parts, the text examines molecular-scale processes and critical reactions, presents ecosystem-scale studies of ecological hotspots, and discusses large-scale modeling and prediction of global biogeochemical cycles. Part of the Wiley - IUPAC Series on Biophysico-Chemical Processes in Environmental Systems, this authoritative volume: Provides readers with a systematic and interdisciplinary approach to sustainable agricultural development and management of soil ecosystems in a changing climate Features contributions from an international team of leading scientists Examines topics such as soil organic matter stabilization, soil biogeochemistry modeling, and soil responses to environmental changes Discusses strategies for mitigating greenhouse gas emission and improving soil health and ecosystems resilience Includes an introduction to working across scales to project soil biogeochemical responses to climatic change Multi-Scale Biogeochemical Processes in Soil Ecosystems: Critical Reactions and Resilience to Climate Changes is essential reading for scientists, engineers, agronomists, chemists, biologists, academic researchers, consultants, and other professionals whose work involves the nutrient cycle, ecosystem management, and climate change.

Recent Advances In Nonlinear Dynamics And Synchronization

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Author : Kyandoghere Kyamakya
language : en
Publisher: Springer
Release Date : 2017-07-25

Recent Advances In Nonlinear Dynamics And Synchronization written by Kyandoghere Kyamakya and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-25 with Technology & Engineering categories.

This book focuses on modelling and simulation, control and optimization, signal processing, and forecasting in selected nonlinear dynamical systems, presenting both literature reviews and novel concepts. It develops analytical or numerical approaches, which are simple to use, robust, stable, flexible and universally applicable to the analysis of complex nonlinear dynamical systems. As such it addresses key challenges are addressed, e.g. efficient handling of time-varying dynamics, efficient design, faster numerical computations, robustness, stability and convergence of algorithms. The book provides a series of contributions discussing either the design or analysis of complex systems in sciences and engineering, and the concepts developed involve nonlinear dynamics, synchronization, optimization, machine learning, and forecasting. Both theoretical and practical aspects of diverse areas are investigated, specifically neurocomputing, transportation engineering, theoretical electrical engineering, signal processing, communications engineering, and computational intelligence. It is a valuable resource for students and researchers interested in nonlinear dynamics and synchronization with applications in selected areas.

Structural Dynamics

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Author : Peretz P. Friedmann
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-23

Structural Dynamics written by Peretz P. Friedmann and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-23 with Technology & Engineering categories.

Master structural dynamics with this self-contained textbook, with key theoretical concepts explained via real-world applications.