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Book Series: Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore
The Institute for Mathematical Sciences (IMS) organizes thematic programs of longer duration as well as shorter workshops and public lectures. The themes are selected from among areas at the forefront of current research in the mathematical sciences and their applications. Each volume of the IMS Lecture Notes Series is a compendium of papers based on lectures and tutorials delivered at the IMS. The aim is to make original papers and expository articles on a subject of current interest available to the international research community. These volumes also serve as a record of activities that took place at the IMS. More details at https://www.worldscientific.com/series/oibtp.
Check out all titles from the series https://www.worldscientific.com/series/lnimsnus
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 38
Genealogies of Interacting Particle Systems
edited by Matthias Birkner (Johannes Gutenberg-Universität Mainz, Germany), Rongfeng Sun (National University of Singapore, Singapore) & Jan M Swart (The Czech Academy of Sciences, Institute of Information Theory and Automation, Czech Republic) Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems. The program Genealogies of Interacting Particle Systems held at the Institute for Mathematical Sciences, National University of Singapore, from 17 July to 18 Aug 2017, brought together experts and young researchers interested in this modern topic. Readership: Graduate students, university professors, researchers and professional mathematicians interested in probability theory, and models arising from population genetics.
364pp 978-981-120-608-5 Feb 2020 US$128 £115
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 37
Mathematics of Shapes and Applications
edited by Sergey Kushnarev (Singapore University of Technology and Design, Singapore), Anqi Qiu (National University of Singapore, Singapore) & Laurent Younes (Johns Hopkins University, USA) The volume illustrates this wealth of subjects by providing new contributions on the metric structure of diffeomorphism groups and shape spaces, recent developments on deterministic and stochastic models of shape evolution, new computational methods manipulating shapes, and new statistical tools to analyze shape datasets. In addition to these contributions, applications of shape analysis to medical imaging and computational anatomy are discussed, leading, in particular, to improved understanding of the impact of cognitive diseases on the geometry of the brain. Readership: Graduate students, applied mathematicians, statisticians, computer scientists and biomedical engineers.
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 28
Slicing the Truth
On the Computable and Reverse Mathematics of Combinatorial Principles
by Denis R Hirschfeldt (The University of Chicago, USA) edited by Chitat Chong (NUS, Singapore), Qi Feng (Chinese Academy of Sciences, China), Theodore A Slaman (UC Berkeley), W Hugh Woodin (Harvard) & Yue Yang (NUS, Singapore) “The book is very well organized and the author presents a very clear picture of the complex relations between the many principles that arise in connection with Ramsey’s Theorem. The book has a continuous stream of exercises and extensive references to the literature, which make it very suitable as an introduction to the reverse mathematics and computability theory of combinatorial principles. The book has excellent coverage and the author frequently points to references for further discussion.” Mathematical Reviews Clippings “The book gathers together in one place most of the theorems known about where Ramsey Theory and some variants of it fit into the Reverse Mathematics framework. The book also discusses many combinatorial principles that the reader may not realize are really Ramsey Theory, but they are!” SIGACT News Readership: Graduates and researchers in mathematical logic.
232pp Jul 2014 978-981-4612-61-6 US$46 £38
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 26
Notes on Forcing Axioms
by Stevo Todorcevic (University of Toronto, Canada) edited by Chitat Chong (NUS, Singapore), Qi Feng (NUS, Singapore), Theodore A Slaman (UC Berkeley), W Hugh Woodin (UC Berkeley) & Yue Yang (NUS, Singapore) In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also behind a number of fundamental results such as the Open Mapping Theorem or the Banach–Steinhaus Boundedness Principle. This volume brings the Baire category method to another level of sophistication via the internal version of the set-theoretic forcing technique. Readership: Graduate students and researchers in logic, set theory and related fields.
236pp Dec 2013 978-981-4571-57-9 US$75 £62
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 7
Markov Chain Monte Carlo
Innovations and applications
by W S Kendall (University of Warwick, UK), F Liang (Texas A&M University, USA) & J-S Wang (National University of Singapore) Readership: Academic researchers in physics, statistics and bioinformatics.
