This book covers new aspects of the use of random process theory in physical and biological research. Risk processes are used to consider boundary functionals. A special case of boundary functionals is the first-passage time. This quantity is effectively used in a wide variety of scientific fields. About ten thousand articles have been devoted to it. Stochastic storage processes describe dynamic processes with random effects. These processes characterize in detail a very large number of real-life situations. Both risk and storage processes have been little used in physics. This book is intended to fill this gap. The book also touches on the effects of entropy changes on the first-passage time, which has also not been studied before. The problems of using the first-passage time, as well as the statistical distribution introduced by the author, containing the first-passage time as a non-equilibrium thermodynamic parameter are considered.
Science Meets Sports
This book presents sports statistics to academics and fans alike. Even without advanced math knowledge, readers will gain completely new insights into their favourite sports by combining sports analytics, data visualisation, and advanced statistical procedures.
