Transcendence and Linear Relations of 1-Periods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Transcendence and Linear Relations of 1-Periods write by Annette Huber. This book was released on 2022-05-26. Transcendence and Linear Relations of 1-Periods available in PDF, EPUB and Kindle. Leading experts explore the relation between periods and transcendental numbers, using a modern approach derived from the theory of motives.
Transcendence and Linear Relations of 1-Periods
Transcendence and Linear Relations of 1-Periods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Transcendence and Linear Relations of 1-Periods write by Annette Huber. This book was released on 2022-05-26. Transcendence and Linear Relations of 1-Periods available in PDF, EPUB and Kindle. This exploration of the relation between periods and transcendental numbers brings Baker's theory of linear forms in logarithms into its most general framework, the theory of 1-motives. Written by leading experts in the field, it contains original results and finalises the theory of linear relations of 1-periods, answering long-standing questions in transcendence theory. It provides a complete exposition of the new theory for researchers, but also serves as an introduction to transcendence for graduate students and newcomers. It begins with foundational material, including a review of the theory of commutative algebraic groups and the analytic subgroup theorem as well as the basics of singular homology and de Rham cohomology. Part II addresses periods of 1-motives, linking back to classical examples like the transcendence of π, before the authors turn to periods of algebraic varieties in Part III. Finally, Part IV aims at a dimension formula for the space of periods of a 1-motive in terms of its data.
Transcendental Number Theory
Transcendental Number Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Transcendental Number Theory write by Alan Baker. This book was released on 2022-06-09. Transcendental Number Theory available in PDF, EPUB and Kindle. Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.
Point-Counting and the Zilber–Pink Conjecture
Point-Counting and the Zilber–Pink Conjecture - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Point-Counting and the Zilber–Pink Conjecture write by Jonathan Pila. This book was released on 2022-06-09. Point-Counting and the Zilber–Pink Conjecture available in PDF, EPUB and Kindle. Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.
Large Deviations for Markov Chains
Large Deviations for Markov Chains - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Large Deviations for Markov Chains write by Alejandro D. de Acosta. This book was released on 2022-10-12. Large Deviations for Markov Chains available in PDF, EPUB and Kindle. This book studies the large deviations for empirical measures and vector-valued additive functionals of Markov chains with general state space. Under suitable recurrence conditions, the ergodic theorem for additive functionals of a Markov chain asserts the almost sure convergence of the averages of a real or vector-valued function of the chain to the mean of the function with respect to the invariant distribution. In the case of empirical measures, the ergodic theorem states the almost sure convergence in a suitable sense to the invariant distribution. The large deviation theorems provide precise asymptotic estimates at logarithmic level of the probabilities of deviating from the preponderant behavior asserted by the ergodic theorems.
