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The Monge-Ampère Equation
Now in its second edition, this monograph explores the Monge-Ampère equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. The geometric aspects of this theory are stressed using techniques from harmonic analysis, such as covering lemmas …
- Edition
- -
- ISBN/ISSN
- 978-3-319-43374-5
- Collation
- XIV, 216
- Series Title
- Progress in Nonlinear Differential Equations and Their Applications
- Call Number
- -
The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint O…
All kinds of singular interactions described by potentials supported on small sets (like the Dirac δ-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construc…
- Edition
- -
- ISBN/ISSN
- 978-3-319-29535-0
- Collation
- XX, 237
- Series Title
- Operator Theory: Advances and Applications
- Call Number
- -
The Message of Quantum Science
In addition, whenever possible these essays take the opportunity to link foundational issues to the many exciting developments that are often linked to major experimental and technological breakthroughs in exploiting the electromagnetic field and in particular, its quantum properties and its interactions with matter, as well as to advances in solid state physics (such as new quantum Hall liquid…
- Edition
- -
- ISBN/ISSN
- 978-3-662-46422-9
- Collation
- XVIII, 348
- Series Title
- Lecture Notes in Physics
- Call Number
- -
Machine Learning in Radiation Oncology: Theory and Applications
This book provides a complete overview of the role of machine learning in radiation oncology and medical physics, covering basic theory, methods, and a variety of applications in medical physics and radiotherapy. An introductory section explains machine learning, reviews supervised and unsupervised learning methods, discusses performance evaluation, and summarizes potential applications in radi…
- Edition
- -
- ISBN/ISSN
- 978-3-319-18305-3
- Collation
- -
- Series Title
- -
- Call Number
- -
The Limit Shape Problem for Ensembles of Young Diagrams
This book treats ensembles of Young diagrams originating from group-theoretical contexts and investigates what statistical properties are observed there in a large-scale limit. The focus is mainly on analyzing the interesting phenomenon that specific curves appear in the appropriate scaling limit for the profiles of Young diagrams. This problem is regarded as an important origin of recent vital…
- Edition
- -
- ISBN/ISSN
- 978-4-431-56487-4
- Collation
- IX, 73
- Series Title
- SpringerBriefs in Mathematical Physics
- Call Number
- -
The Invisible Universe
This is the story of radio astronomy, of how radio waves are generated by stars, supernova, quasars, colliding galaxies and by the very beginnings of the universe itself. The author discusses what radio astronomers are doing in the New Mexico desert, in a remote valley in Puerto Rico, and in the green Pocahontas Valley in West Virginia, as well as dozens of other remote sites around the world. …
- Edition
- -
- ISBN/ISSN
- 978-3-319-13422-2
- Collation
- XII, 259
- Series Title
- Astronomers' Universe
- Call Number
- -
Dissipative exciton dynamics in light-harvesting complexes
Marco Schröter investigates the influence of the local environment on the exciton dynamics within molecular aggregates, which build, e.g., the light-harvesting complexes of plants, bacteria or algae by means of the hierarchy equations of motion (HEOM) method. He addresses the following questions in detail: How can coherent oscillations within a system of coupled molecules be interpreted? What…
- Edition
- -
- ISBN/ISSN
- 9783658092825
- Collation
- -
- Series Title
- -
- Call Number
- 571.4
Machine Learning in Radiation Oncology: Theory and Applications
This book provides a complete overview of the role of machine learning in radiation oncology and medical physics, covering basic theory, methods, and a variety of applications in medical physics and radiotherapy. An introductory section explains machine learning, reviews supervised and unsupervised learning methods, discusses performance evaluation, and summarizes potential applications in r…
- Edition
- -
- ISBN/ISSN
- 978-3-319-18305-3
- Collation
- -
- Series Title
- -
- Call Number
- -
Two-Dimensional Electronics and Optoelectronics
The discovery of monolayer graphene led to a Nobel Prize in Physics being awarded in 2010. This has stimulated further research on a wide variety of two-dimensional (2D) layered materials. The coupling of metallic graphene, semiconducting 2D transition metal dichalcogenides (TMDCs) and black phosphorus have attracted a tremendous amount of interest in new electronic and optoelectronic applicati…
- Edition
- -
- ISBN/ISSN
- 978-3-03842-493-2
- Collation
- -
- Series Title
- -
- Call Number
- 530 TWO
Mesoscopic Theories of Heat Transport in Nanosystems
This book presents generalized heat-conduction laws which, from a mesoscopic perspective, are relevant to new applications (especially in nanoscale heat transfer, nanoscale thermoelectric phenomena, and in diffusive-to-ballistic regime) and at the same time keep up with the pace of current microscopic research. The equations presented in the book are compatible with generalized formulations of …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-27205-4
- Collation
- XIX, 170
- Series Title
- SEMA SIMAI Springer Series
- Call Number
- -
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