The textbook on anomalous stochastic processes by M. Chorowski, T. Gubiec, and R. Kutner was published by Springer

The textbook Anomalous Stochastics: A Comprehensive Guide to Multifractals, Random Walks, and Real-World Applications by Michał Chorowski, Tomasz Gubiec, and Ryszard Kutner was published by Springer as part of the Understanding Complex Systems series within the Springer Complexity program. This comprehensive monograph is aimed at students and serves as an in-depth guide to understanding singular stochastic processes and extreme, as well as superextreme, events. It demonstrates the application of singular random processes across various fields, from physics to finance. The book is enriched with exercises that assist in mastering the topics and developing practical skills.

The textbook offers a detailed introduction to stochastic processes and extreme events, commonly referred to as "black swans", with a particular focus on (multi-)fractal approaches and singular random processes in continuous time. The authors present these topics systematically, discussing their historical development and providing multiple perspectives. The book is based on real-world data from fields such as physics, technology, and finance, highlighting the importance of stochastic processes in working with data from complex systems. It sensitizes those working with real-world data to the critical role of singular stochastic processes and helps them better understand how these processes operate in practice.

The publication draws on interdisciplinary lectures that have been taught for nearly 20 years to undergraduate and graduate students at the Faculty of Physics, University of Warsaw. The monograph has been updated to reflect the latest advancements and serves as a valuable source of knowledge for students, as well as researchers interested in singular random processes and their practical applications.

To fully comprehend the textbook, the reader should have a solid understanding of the basics of probability theory, algebra, and the fundamental concepts of differential and integral calculus, as well as basic knowledge of statistical physics.

Each chapter includes exercises that help readers grasp the material and develop practical skills. These exercises can also be used as teaching material for instructors.

The book is available on the market at the following address: https://link.springer.com/book/10.1007/978-3-031-80392-5

It is also available in the e-book database of the University of Warsaw Library, along with the printed version; the latter can also be found in the Faculty of Physics Library.