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Mathematics and Statistics (R0)

Anima Nagar

Riddhi Shah

Shrihari Sridharan

Elements of Dynamical Systems

V. Kannan: Real Dynamics.- Anima Nagar and C. R. E. Raja: Topological Dynamics.- C. S. Aravinda and Vishesh S. Bhat: Basic Ergodic Theory.- Siddhartha Bhattacharya: Symbolic Dynamics.- Shrihari Sridharan and Kaushal Verma: Complex Dynamics.- Anish Ghosh: Topics in Homogeneous Dynamics and Number Theory.- S. G. Dani: On Certain Unusual Large Subsets Arising as Winning Sets of&amp;nbsp;Some Games.

Economics and Finance (R0)

Manfred J. Holler

Barbara Klose-Ullmann

Medea Meets Hamlet

Strategic Games on Stage

Infosys Science Foundation Series

Infosys Science Foundation Series in Mathematical Sciences

This book presents selected chapters from the program Zariski–Dense Subgroups, Number Theory, and Geometric Applications, held at the International Center for Theoretical Sciences (ICTS) in Bengaluru, Karnataka, India, from January 1–12, 2024. The program encompassed a rich array of topics centered around Zariski-dense subgroups, with connections to algebraic and Lie groups, geometry, and number theory. It highlights the application of Diophantine approximation techniques to questions on linear groups with bounded generation, as well as innovative developments in the Bruhat–Tits theory for algebraic groups over local fields. These ideas were explored through four mini-courses alongside numerous research and expository lectures.

Chapters are published in two volumes: Volume 1 features expanded notes from four mini-courses and two expository talks, while Volume 2 comprises twelve original research articles. Collectively, the volumes make recent advances in the theory of Zariski-dense subgroups accessible to a broad mathematical audience. The topic has continued to draw significant interest, building on discussions from earlier meetings such as the MSRI workshop in Berkeley (2012) and the IPAM workshop at UCLA (2015). Over the past two decades, Zariski-dense subgroups of algebraic groups have become a focal point of intense research, yielding a wealth of results with far-reaching applications. Notably, this line of inquiry has contributed to the construction of expander graphs and the study of spectral gaps, developments that culminated in the theory of superstrong approximation.

This book presents selected chapters from the program Zariski–Dense Subgroups, Number Theory, and Geometric Applications, held at the International Center for Theoretical Sciences (ICTS) in Bengaluru, Karnataka, India, from January 1–12, 2024. The program encompassed a rich array of topics centered around Zariski-dense subgroups, with connections to algebraic and Lie groups, geometry, and number theory. It highlights the application of Diophantine approximation techniques to questions on linear groups with bounded generation, as well as innovative developments in the Bruhat–Tits theory for algebraic groups over local fields. These ideas were explored through four mini-courses alongside numerous research and expository lectures.
 Chapters are published in two volumes: Volume 1 features expanded notes from four mini-courses and two expository talks, while Volume 2 comprises twelve original research articles. Collectively, the volumes make recent advances in the theory of Zariski-dense subgroups accessible to a broad mathematical audience. The topic has continued to draw significant interest, building on discussions from earlier meetings such as the MSRI workshop in Berkeley (2012) and the IPAM workshop at UCLA (2015). Over the past two decades, Zariski-dense subgroups of algebraic groups have become a focal point of intense research, yielding a wealth of results with far-reaching applications. Notably, this line of inquiry has contributed to the construction of expander graphs and the study of spectral gaps, developments that culminated in the theory of 
 superstrong approximation
 .

Mini Courses and Expository Articles

Zariski Dense Subgroups, Number Theory and Geometric Applications

Akio Torii

Decision-making in High-Risk Projects

Kjetil Bjorvatn

An ABC in 1-2-3

Microeconomics Made Simple

Computer Science and Engineering (German Language)

Stefan Rass

Stefan Schauer

Sandra König

Quanyan Zhu

Ein spieltheoretischer Zugang

Cybersicherheit in kritischen Infrastrukturen

Computer Science (R0)

Dimo Brockhoff

Michael Emmerich

Boris Naujoks

Robin Purshouse

State-of-the-Art, Present Challenges, and Future Perspectives

Many-Criteria Optimization and Decision Analysis

How the concept of proof has enabled the creation of mathematical knowledge The Story of Proof investigates the evolution of the concept of proof-one of the most significant and defining features of mathematical thought-through critical episodes in its history. From the Pythagorean theorem to modern times, and across all major mathematical disciplines, John Stillwell demonstrates that proof is a mathematically vital concept, inspiring innovation and playing a critical role in generating knowledge. Stillwell begins with Euclid and his influence on the development of geometry and its methods of proof, followed by algebra, which began as a self-contained discipline but later came to rival geometry in its mathematical impact. In particular, the infinite processes of calculus were at first viewed as "infinitesimal algebra," and calculus became an arena for algebraic, computational proofs rather than axiomatic proofs in the style of Euclid. Stillwell proceeds to the areas of number theory, non-Euclidean geometry, topology, and logic, and peers into the deep chasm between natural number arithmetic and the real numbers. In its depths, Cantor, Gödel, Turing, and others found that the concept of proof is ultimately part of arithmetic. This startling fact imposes fundamental limits on what theorems can be proved and what problems can be solved. Shedding light on the workings of mathematics at its most fundamental levels, The Story of Proof offers a compelling new perspective on the field's power and progress.

Logic and the History of Mathematics

The Story of Proof

Springer Nature Proceedings excluding Computer Science

Dieky Adzkiya

Kistosil Fahim

ICoMPAC 2023, Sukolilo, Indonesia, September 30

Applied and Computational Mathematics

Physics and Astronomy (R0)

Debora Sarno

Francesco Polese

Stephen Louis Vargo

Complexity and Emergence in Market Ecosystems

&lt;p&gt;This book presents the best papers from the 4th International Conference on Mathematical Research for Blockchain Economy (MARBLE) 2023, held in London, UK. While most blockchain conferences and forums are dedicated to business applications, product development, or Initial Coin Offering (ICO) launches, this conference focused on the mathematics behind blockchain to bridge the gap between practice and theory.&lt;/p&gt;&lt;p&gt;The book spans the divide between theoretical promise and practical reality in blockchain technology and explores the challenges hindering its real-world integration across diverse sectors, offering comprehensive insights into issues like scalability, security, and privacy.&amp;nbsp;&lt;/p&gt;&lt;p&gt;&lt;/p&gt;

Elements of Dynamical Systems

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