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Papers presented at the Seminar on the Problems of Ethnicity in the North-East India, held in 2006 in New Delhi, organized by Astha Bharati.
In today's rapidly changing digital world, the need for education to keep pace with technology has never been more important. However, the traditional education system is struggling to adapt to these changes, and many students are not acquiring the digital skills and competencies needed to thrive in the current job market. At the same time, there is a growing need for sustainability and green education to address the pressing issues of climate change and create more resilient and inclusive societies. Developing Skills and Competencies for Digital and Green Transitions provides a persuasive solution to these pressing problems. By exploring the intersection of green education and digital techn...
This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.
This book grew out of the 2021 Chapel Hill Ergodic Theory Workshop (https://ergwork.web.unc.edu/schedule-of-talks-201/) during which young and senior researchers presented recent advances in ergodic theory and dynamical systems. Included are original research and survey articles devoted to various topics in Ergodic Theory and Dynamical Systems. Some are from presenters at this workshop. This book attracts young and senior researchers alike.
Sultzbach's book provides a wide-ranging investigation into how the works of Forster, Woolf, and Auden helped shape our environmental imagination.
The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It was introduced about100 years ago and continues to be an area of active current research. The theory is related to such important themes as multipliers, reproducing kernels, and Besov spaces, among others. The authors present the theory of the Dirichlet space and related spaces starting with classical results and including some quite recent achievements like Dirichlet-type spaces of functions in several complex variables and the corona problem. The first part of this book is an introduction to the function theory and operator theory of...
This book introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. In Part I, the method is applied to isolate new distinctions between Borel equivalence relations. Part II contains applications to independence results in Zermelo–Fraenkel set theory without Axiom of Choice. The method makes it possible to classify in great detail various paradoxical objects obtained using the Axiom of Choice; the classifying criterion is a ZF-provable implication between the existence of such objects. The book considers a broad spectrum of objects from analysis, algebra, and combinatorics: ultrafilters, Hamel bases, transcendence bases, colorings of Borel graphs, discontinuous homomorphisms between Polish groups, and many more. The topic is nearly inexhaustible in its variety, and many directions invite further investigation.
Post COVID-19, the world will never be the same. The pandemic not only shattered many assumptions about economic developments and growth, but it also challenged our preparedness to face any unpredictable challenge as a human civilization in an era where science and technology is at its peak. To suppress the spread of COVID-19, many countries resorted to partial or full closure of their borders and restricted the movement of people. Mandatory quarantine restricted labor mobility and workplace closure, which later converted into supply shocks in the economy, as these measures impaired the economy’s production capacity, disrupting supplies. This later spilled over to the demand side as people...
Includes entries for maps and atlases.