The purpose of this book is to introduce two recent topics in mathematical physics and probability theory: the Schramm–Loewner evolution (SLE) and interacting particle systems related to random matrix theory. A typical example of the latter systems is Dyson's Brownian motion (BM) model. The SLE and Dyson's BM model may be considered as "children" of the Bessel process with parameter D, BES(D)…
We present an introduction to Berkovich’s theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The first part contains surveys of a foundational nature, including an introduction to Berkovich analytic spaces by M. Temkin, and to étale cohomology by A. Ducros, as well as a short note by C. Favre on the topology of some Berkovich spaces. The second part…
Carotenoids are a group of approximately 600 compounds synthesized by photosynthetic organisms. These pigments are abundant in fruits and vegetables, as well as in certain animal products such as eggs and salmon, being responsible for their colorful appearance. The bioactive properties of certain carotenoids in human health are clear, as some of these compounds have antioxidant properties and s…
Working within a postmodern style, this rhythmic and melodious collection of poems originally written in Slovenian by Cvetka Lipuš and translated here by Tom Priestly, blends the real with the surreal, dull urban lives with dreams. Lipuš, known for the lexical beauty of her work, dwells on topics of time and space which she handles in an almost revolving, irreverent manner. Priestly captures …
Most people go through life chasing illusions of success, fame, wealth, happiness, and few things are more painful than the reality-revealing loss of an illusion. But if illusions are negative, why is the opposite, being disillusioned, also negative? In this essay based on his inaugural writer-in-residence lecture at Athabasca University, internationally acclaimed writer Steven Heighton mathema…
Most people go through life chasing illusions of success, fame, wealth, happiness, and few things are more painful than the reality-revealing loss of an illusion. But if illusions are negative, why is the opposite, being disillusioned, also negative? In this essay based on his inaugural writer-in-residence lecture at Athabasca University, internationally acclaimed writer Steven Heighton mathema…
André Röhm investigates the dynamic properties of two-state lasing quantum dot lasers, with a focus on ground state quenching. With a novel semi-analytical approach, different quenching mechanisms are discussed in an unified framework and verified with numerical simulations. The known results and experimental findings are reproduced and parameter dependencies are systematically studied. Add…
Systems are everywhere and we are surrounded by them. We are a complex amalgam of systems that enable us to interact with an endless array of external systems in our daily lives. They are electrical, mechanical, social, biological, and many other types that control our environment and our well-being. By appreciating how these systems function, will broaden our understanding of how our world wor…
The karstic caves are favorable sites for tectonic events detecting, representing a conservative medium of three-dimensional framework where the tectonic deformations are well preserved. They also provide an environment conducive to dating and determining the geometrical parameters of past seismotectonic events. During the last three decades the study of dynamic tectonics and recent geodynamics…
This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds. The topological classification is one of the main problems of the theory of dynamical systems and the results presented in this book are mostly for dynamical systems satisfying Smale's Axiom A. The main results on the topological classificat…