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Author: Sergio I. López Publisher: Springer Nature ISBN: 3030575136 Category : Mathematics Languages : en Pages : 167
Book Description
This volume features a collection of contributed articles and lecture notes from the XIII Symposium on Probability and Stochastic Processes, held at UNAM, Mexico, in December 2017. It is split into two main parts: the first one presents lecture notes of the course provided by Mauricio Duarte, followed by its second part which contains research contributions of some of the participants.
Author: Sergio I. López Publisher: Springer Nature ISBN: 3030575136 Category : Mathematics Languages : en Pages : 167
Book Description
This volume features a collection of contributed articles and lecture notes from the XIII Symposium on Probability and Stochastic Processes, held at UNAM, Mexico, in December 2017. It is split into two main parts: the first one presents lecture notes of the course provided by Mauricio Duarte, followed by its second part which contains research contributions of some of the participants.
Author: David Borsook Publisher: Springer Science & Business Media ISBN: 1441901345 Category : Medical Languages : en Pages : 395
Book Description
Drug development today needs to balance agility, speed, and risk in defining probability of success for molecules, mechanisms, and therapeutic concepts. New techniques such as fMRI promise to be part of a sequence that could transform drug development. Although numerous review articles exist that discuss the use of imaging in drug development, no one source is available that combines the various techniques and includes a discussion of disease mapping. Imaging in CNS Drug Discovery and Development, Implications for Disease and Therapy will serve to distill the most salient developments in the use of imaging in drug development and disease mapping. It will launch evolving concepts that integrate new imaging technologies and paradigms with molecular medicine and molecular profiling ("monics") as well as consider the ethical issues that arise as a result of disease or state diagnosis and the use of imaging in the public eye.
Author: Andreas Liehr Publisher: Springer Science & Business Media ISBN: 3642312519 Category : Science Languages : en Pages : 227
Book Description
Why writing a book about a specialized task of the large topic of complex systems? And who will read it? The answer is simple: The fascination for a didactically valuable point of view, the elegance of a closed concept and the lack of a comprehensive disquisition. The fascinating part is that field equations can have localized solutions exhibiting the typical characteristics of particles. Regarding the field equations this book focuses on, the field phenomenon of localized solutions can be described in the context of a particle formalism, which leads to a set of ordinary differential equations covering the time evolution of the position and the velocity of each particle. Moreover, starting from these particle dynamics and making the transition to many body systems, one considers typical phenomena of many body systems as shock waves and phase transitions, which themselves can be described as field phenomena. Such transitions between different level of modelling are well known from conservative systems, where localized solutions of quantum field theory lead to the mechanisms of elementary particle interaction and from this to field equations describing the properties of matter. However, in dissipative systems such transitions have not been considered yet, which is adjusted by the presented book. The elegance of a closed concept starts with the observation of self-organized current filaments in a semiconductor gas discharge system. These filaments move on random paths and exhibit certain particle features like scattering or the formation of bound states. Neither the reasons for the propagation of the filaments nor the laws of the interaction between the filaments can be registered by direct observations. Therefore a model is established, which is phenomenological in the first instance due to the complexity of the experimental system. This model allows to understand the existence of localized structures, their mechanisms of movement, and their interaction, at least, on a qualitative level. But this model is also the starting point for developing a data analysis method that enables the detection of movement and interaction mechanisms of the investigated localized solutions. The topic is rounded of by applying the data analysis to real experimental data and comparing the experimental observations to the predictions of the model. A comprehensive publication covering the interesting topic of localized solutions in reaction diffusion systems in its width and its relation to the well known phenomena of spirals and patterns does not yet exist, and this is the third reason for writing this book. Although the book focuses on a specific experimental system the model equations are as simple as possible so that the discussed methods should be adaptable to a large class of systems showing particle-like structures. Therefore, this book should attract not only the experienced scientist, who is interested in self-organization phenomena, but also the student, who would like to understand the investigation of a complex system on the basis of a continuous description.
Author: D. ter Haar Publisher: Princeton University Press ISBN: 0691219524 Category : Science Languages : en Pages : 300
Book Description
The Dutch scientist Hendrik Kramers (1894-1952) was one of the greatest theoretical physicists of the twentieth century--and one of a mere handful who have made major contributions across the whole field. Physicists know his name from, among other things, the Kramers dispersion theory, the Kramers-Heisenberg dispersion formulae, the Kramers opacity formula, the Kramers degeneracy, and the Kramers-Kronig relations. Yet few people know more than the name, or recognize the full depth and range of his contributions. In this book, D. ter Haar seeks to change that. He presents for the first time anywhere a comprehensive discussion of Kramers's scientific work, and reprints twelve of his most important papers. The author shows us that Kramers's remarkable and diverse work makes him at least the equal of such celebrated physicists as Fermi and Landau. He takes us through Kramers's groundbreaking research in such subjects as quantum theory, quantum electrodynamics, statistical mechanics, and solid-state physics. The papers he reprints include Kramers's derivation of the dispersion formulae that led to Heisenberg's matrix mechanics; his classic paper on the Brownian-motion approach to chemical reactions; a pioneering paper on polymers; and a paper on renormalization, a concept first introduced by Kramers and now one of the basic ideas of modern field theory. This book will change how we view the course of twentieth-century science and will show that Kramers was indeed one of the masters of modern physics.
Author: Richard Durrett Publisher: Springer ISBN: 3319456148 Category : Mathematics Languages : en Pages : 282
Book Description
Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance.
Author: Amit Agarwal Publisher: Springer Science & Business ISBN: 3319062727 Category : Science Languages : en Pages : 354
Book Description
Amit Agarwal’s thesis reports a substantial contribution to the microscopic simulation of radiation chemical reactions. In his research Agarwal extends existing models to further understand scavenging, spin and relaxation effects. This research has advanced the development of both the Monte Carlo Random Flights and the Independent Reaction Times (IRT) simulation tools. Particular highlights are the extension of these tools to include both the spin-exchange interaction and spin relaxation, both of which are influential in radiolytic systems where many reactions are spin-controlled. In addition, the study has led to the discovery of a novel correlation of the scavenging rate with the recombination time in low permittivity solvents. This finding goes against existing assumptions underlying the theory of diffusion kinetics while still being accommodated in the IRT method which demonstrates the power of this unconventional approach. The work in this thesis can be applied to a wide number of fields including the nuclear industry, medicine, food treatment, polymer curing, the preparation of nano-colloids, power generation and waste disposal.
Author: Sergio I. López
Author: Sergio I. López
Author: David Borsook
Author: Andreas Liehr
Author: D. ter Haar
Author: American Mathematical Society
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Author: Richard Durrett
Author: Amit Agarwal
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