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This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension 8. These objects stand out in ways that hav …

The isomonodromic deformation equations such as the Painlevé and Garnier systems are an important class of nonlinear differential equations in mathematics and mathematical physics. For discrete analo …

This book is an exposition of recent progress on the Donaldson–Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coherent sheaves on Calabi–Yau …

Efficient navigation in terms of travel time and energy dissipation is of crucial importance for biological micro-swimmers. The design of optimally navigating artificial swimmers also has potentially …

This book delves into the foundational principles governing the treatment of molecular networks and ‘chemical space’—the comprehensive domain encompassing all physically achievable molecules—from the …

This book reports new findings in the fields of nonlinear optics, quantum optics and optical microscopy. It presents the first experimental device able to transform an input Gaussian beam into a non- …

After an extensive introduction to the asymptotic safety approach to quantum gravity, this thesis explains recent key advances reported in four influential papers. Firstly, two exact solutions to the …

This thesis demonstrates the potential of two platforms to explore experimentally the emerging field of quantum thermodynamics that has remained mostly theoretical so far. It proposes methods to defi …

This book is about the dark photon which is a new gauge boson whose existence has been conjectured. Due to its interaction with the ordinary, visible photon, such a particle can be experimentally det …

This book presents the better understanding of infrared structures of particle scattering processes in quantum electrodynamics (QED) in four-dimensional spacetime. An S-matrix is the fundamental quan …