Diffusion Moves The World A Journey Into Random Walks Of Life
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Diffusion Moves the World: A Journey into Random Walks of Life
Author: Pasquale De Marco
language: en
Publisher: Pasquale De Marco
Release Date: 2025-07-13
Embark on a captivating journey into the world of random walks in biology, where chance encounters and unpredictable movements orchestrate the symphony of life. This book unveils the hidden order within the apparent chaos, revealing how random walks shape everything from the microscopic dance of molecules to the grand sweep of evolution. With clarity and elegance, this book delves into the fascinating realm of random walks, exploring their fundamental role in a myriad of biological processes. Discover how random walks govern the diffusion of molecules across cell membranes, enabling essential cellular functions such as nutrient transport and waste removal. Witness the intricate choreography of cell migration, guided by random walks as cells navigate their complex environment. Unravel the mysteries of evolution, where random walks drive the dance of genetic variation. Witness the power of natural selection as it sculpts populations, favoring individuals with advantageous traits. Explore the role of random walks in shaping ecological interactions, from the delicate balance of predator-prey dynamics to the intricate web of species interdependence. This book is a testament to the profound impact of random walks on our understanding of life's complexities. Through engaging narratives and illuminating examples, it reveals how chance encounters and unpredictable movements give rise to the intricate tapestry of life. It is an invitation to explore the fascinating world of random walks in biology, where the boundaries of our knowledge are constantly expanding. Whether you are a student seeking to deepen your understanding of biological processes, a researcher pushing the frontiers of scientific discovery, or simply a curious mind seeking to unravel the enigmas of life, this book will captivate and inspire you. Prepare to be amazed by the elegance and ubiquity of random walks in biology, and gain a newfound appreciation for the intricate beauty of the natural world. If you like this book, write a review!
An Unbounded Experience In Random Walks With Applications
Author: Michael F Shlesinger
language: en
Publisher: World Scientific
Release Date: 2021-06-29
This volume comprises the author's account of the development of novel results in random walk theory and its applications during the fractal and chaos revolutions. The early history of probability is presented in an engaging manner, and peppered with pitfalls and paradoxes. Readers will find the introduction of Paul Lévy's work via Mandelbrot's Lévy flights which are featured uniquely as Weierstrass and Riemann random walks.Generalizations to coupled memories, internal states and fractal time are introduced at the level for graduate students. Mathematical developments are explained including Green's functions, inverse Mellin transforms, Jacobians, and matrix methods. Applications are made to anomalous diffusion and conductivity in amorphous semiconductors and supercooled liquids. The glass transition is discussed especially for pressure effects.All along the way, personal stories are recounted and special appreciations are made to Elliott Montroll and Harvey Scher for their ever-expanding influence on the field of non-equilibrium anomalous processes that now are found in topics including disordered materials, water table processes, animal foraging, blinking quantum dots, rotating flows, optical lattices, dynamical strange attractors and strange kinetics.
Elements of the Random Walk
Author: Joseph Rudnick
language: en
Publisher: Cambridge University Press
Release Date: 2010-03-25
Random walks have proven to be a useful model in understanding processes across a wide spectrum of scientific disciplines. This book is an introduction to some of the most powerful and general techniques used in the application of these ideas. Its self-contained text will appeal to graduate students across science, engineering and mathematics who need to understand the applications of random walk techniques, as well as to established researchers.