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Multiplicity of Time Scales in Complex Systems

This highly interdisciplinary volume brings together a carefully curated set of case studies examining complex systems with multiple time scales (MTS) across a variety of fields: materials science, epidem…

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Juan Guillermo Diaz Ochoa
Complexity Measurements and Causation for Dynamic Complex Systems

This book examines the problems of causal determinism and limited completeness in systems theory. Furthermore, the author analyzes options for complexity measurements that include systems' autonomy and va…

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Nicoletta Carabba
Quantum Speed Limits to Operator Growth

This book introduces universal bounds to quantum unitary dynamics, with applications ranging from condensed matter models to quantum metrology and computation. Motivated by the observation that the dynami…

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Stefano Olivares
A Student's Guide to Quantum Computing

This textbook provides a self-contained introduction to the principles and methods of quantum computation, designed for advanced undergraduate and graduate students. It introduces classical logic and quan…

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Marius Iulian Mihailescu, Valentin Barna, Valentina Marascu, Stefania Loredana Nita
Applied Quantum Computing and Cryptography

This book explores the dynamically developing areas of quantum computing and quantum cryptography. The book offers an in-depth examination of the possibilities and difficulties presented by these revoluti…

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Javier Rivera-Dean
Non-classical States of Light

This doctoral thesis has a dual focus. Firstly, it studies the generation of non-classical states of light through strong-field processes, where light-matter interactions involve light intensities contend…

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Kristian Lindgren
Information Theory for Complex Systems

This book introduces a comprehensive framework tailored for dissecting complex systems across diverse disciplines. What defines a complex system? How can we harness information to quantify its order, stru…

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Pablo Basteiro
Discrete Holography: Through the Quantum Information Looking-Glass

How can we reconcile general relativity with quantum mechanics? One promising approach is the holographic principle, which posits that quantum gravity can be described by a lower-dimensional theory withou…

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Leonardo Dagdug, Jason Peña, Ivan Pompa-García
Diffusion Under Confinement

This book offers the reader a journey through the counterintuitive nature of Brownian motion under confinement. Diffusion is a universal phenomenon that controls a wide range of physical, chemical, and bi…

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Ian Jauslin
An Introduction to Lieb's Simplified Approach to the Bose Gas

This book explores Lieb's Simplified approach to the ground state of systems of interacting bosons. While extensive research has delved into the behavior of interacting bosons, persistent challenges, such…

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Marta Zava, Hernán A. Makse
The Science of Influencers and Superspreaders

This book explores the identification of influencers in complex networks, bridging theoretical approaches with practical applications across diverse fields. It examines interdisciplinary complex systems, …

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Ray D. Sameshima
Lectures on Graph Theory

This book introduces foundational topics such as group theory, fields, linear algebra, matrix theory, and graph theory, providing readers with the essential background needed to understand Feynman diagram…

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Claudius Gros
Complex and Adaptive Dynamical Systems

This textbook offers a comprehensive introduction to the concepts underpinning our modern understanding of complex and emergent behavior. Mathematical methods necessary for the discussion are introduced a…

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David S. Simon
Introduction to Quantum Science and Technology

This textbook serves as a comprehensive introduction to quantum technology for advanced undergraduate and beginning graduate students in physics and engineering. It provides readers with an in-depth overv…

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Geometry, Topology and Operator Algebras

This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications. Originating fro…

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Interplay of Fractals and Complexity in Mathematical Modelling and Physical Patterns

This book presents selected, peer-reviewed contributions from the International Symposium on Mathematical Analysis of Fractals and Dynamical Systems - 2023 (ISMAFDS - 2023), held at the Department of Math…

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Tereza Uhlí¿ová, Jaroslav Zamastil
An Algebraic Approach to the Many-Electron Problem

This book presents an algebraic approach to the coupled cluster method for many-electron systems, pioneered by Josef Paldus. Using field methods along with an algebraic, rather than diagrammatic, approach…

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Claudio Conti
Quantum Machine Learning

This book presents a new way of thinking about quantum mechanics and machine learning by merging the two. Quantum mechanics and machine learning may seem theoretically disparate, but their link becomes cl…

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Vakhtang Putkaradze
A Concise Introduction to Classical Mechanics

Mechanics is one of the oldest and most foundational subjects in undergraduate curricula for mathematicians, physicists, and engineers. Traditionally taught through a classical, or "analytical,"…

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Carmine Granata
A Journey into Modern Physics

This book offers a short journey into the surprising and spectacular world of modern physics characterized by disruptive ideas and theory from both a conceptual and applicative point of view. Starting fro…

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