Physics of Stochastic Processes

How Randomness Acts in Time

Author: Reinhard Mahnke,Jevgenijs Kaupuzs,Ihor Lubashevsky

Publisher: John Wiley & Sons

ISBN: 3527626107

Category: Science

Page: 447

View: 9731


Based on lectures given by one of the authors with many years of experience in teaching stochastic processes, this textbook is unique in combining basic mathematical and physical theory with numerous simple and sophisticated examples as well as detailed calculations. In addition, applications from different fields are included so as to strengthen the background learned in the first part of the book. With its exercises at the end of each chapter (and solutions only available to lecturers) this book will benefit students and researchers at different educational levels. Solutions manual available for lecturers on

Physics of the Human Mind

Author: Ihor Lubashevsky

Publisher: Springer

ISBN: 3319517066

Category: Science

Page: 380

View: 6634


This book tackles the challenging question which mathematical formalisms and possibly new physical notions should be developed for quantitatively describing human cognition and behavior, in addition to the ones already developed in the physical and cognitive sciences. Indeed, physics is widely used in modeling social systems, where, in particular, new branches of science such as sociophysics and econophysics have arisen. However, many if not most characteristic features of humans like willingness, emotions, memory, future prediction, and moral norms, to name but a few, are not yet properly reflected in the paradigms of physical thought and theory. The choice of a relevant formalism for modeling mental phenomena requires the comprehension of the general philosophical questions related to the mind-body problem. Plausible answers to these questions are investigated and reviewed, notions and concepts to be used or to be taken into account are developed and some challenging questions are posed as open problems. This text addresses theoretical physicists and neuroscientists modeling any systems and processes where human factors play a crucial role, philosophers interested in applying philosophical concepts to the construction of mathematical models, and the mathematically oriented psychologists and sociologists, whose research is fundamentally related to modeling mental processes.

God and Randomness

Author: Thomas R. McFaul,Al Brunsting

Publisher: Wipf and Stock Publishers

ISBN: 1532638981

Category: Religion

Page: 200

View: 8853


Most of us have experienced the impact of randomness in our lives not only as individuals but in our interactions with others as well. In God and Randomness, which is a sequel to our 2014 publication God Is Here to Stay: Science, Evolution, and Belief in God, we describe the connection between randomness and God and how this connection has permeated our universe from the start. We cover several areas that include personal stories, the micro and macro sources of world events, the origins of our cosmos and solar system, the emergence of human mindfulness and choice, major episodes of the twentieth century, the future, and the quest for fairness. In the course of examining these topics, we identify how current scientific research is consistent with our speculation of how God influences our lives in the presence of all this randomness. We conclude that the random events affecting us may originate in other dimensions that are inaccessible to us and that God is actively at work in the chaos and randomness that pervades our lives and our world.

Mathematical Models of Information and Stochastic Systems

Author: Philipp Kornreich

Publisher: CRC Press

ISBN: 1351835041

Category: Mathematics

Page: 376

View: 803


From ancient soothsayers and astrologists to today’s pollsters and economists, probability theory has long been used to predict the future on the basis of past and present knowledge. Mathematical Models of Information and Stochastic Systems shows that the amount of knowledge about a system plays an important role in the mathematical models used to foretell the future of the system. It explains how this known quantity of information is used to derive a system’s probabilistic properties. After an introduction, the book presents several basic principles that are employed in the remainder of the text to develop useful examples of probability theory. It examines both discrete and continuous distribution functions and random variables, followed by a chapter on the average values, correlations, and covariances of functions of variables as well as the probabilistic mathematical model of quantum mechanics. The author then explores the concepts of randomness and entropy and derives various discrete probabilities and continuous probability density functions from what is known about a particular stochastic system. The final chapters discuss information of discrete and continuous systems, time-dependent stochastic processes, data analysis, and chaotic systems and fractals. By building a range of probability distributions based on prior knowledge of the problem, this classroom-tested text illustrates how to predict the behavior of diverse systems. A solutions manual is available for qualifying instructors.

The Shorter Routledge Encyclopedia of Philosophy

Author: Edward Craig

Publisher: Routledge

ISBN: 1134344090

Category: Philosophy

Page: 1078

View: 5842


The Shorter REP presents the very best of the acclaimed ten volume Routledge Encyclopedia of Philosophy in a single volume. It makes a selection of the most important entries available for the first time and covers all you need to know about philosophy, from Aristotle to Wittgenstein and animals and ethics to scientific method. Comprising over 900 entries and covering the major philosophers and philosophical topics, The Shorter REP includes the following special features: Unrivalled coverage of major philosophers, themes, movements and periods making the volume indispensable for any student or general reader Fully cross-referenced Revised versions of many of the most important entries, including fresh suggestions for further reading Over twenty brand new entries on important new topics such as Cloning and Sustainability entries by many leading philosophers such as Bernard Williams, Martha Nussbaum, Richard Rorty, Onora O'Neill, T.M. Scanlon and Anthony Appiah Striking new text design to help locate key entries quickly and easily An outstanding guide to all things philosophical, The Shorter Routledge Encyclopedia of Philosophy provides an unrivalled introduction to the subject for students and general readers alike.