Analysis at Large
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Analysis at Large is a book, edited by Artur Avila, Michael Th. Rassias and Yakov Sinai, published in 2022 by Springer (ISBN 978-3-031-05331-3 Search this book on 
.), dedicated to the life and work of Jean Bourgain. The book consists of sixteen chapters written by leading researchers, each paying homage to Bourgain's pioneering accomplishments in mathematics. According to the editors’ Preface, the book publishes a highly selective collection of research and survey papers in a wide spectrum of subjects which have been deeply influenced by Bourgain's monumental contributions and have led to celebrated breakthroughs in mathematics.[1]
Table of contents[edit]
- On the Joint Spectral Radius, by Emmanuel Breuillard
- The Failure of the Fractal Uncertainty Principle for the Walsh–Fourier Transform, by Ciprian Demeter
- The Continuous Formulation of Shallow Neural Networks as Wasserstein-Type Gradient Flows, by Xavier Fernández-Real and Alessio Figalli
- On the Origins, Nature, and Impact of Bourgain’s Discretized Sum-Product Theorem, by Alexander Gamburd
- Cartan Covers and Doubling Bernstein-Type Inequalities on Analytic Subsets of , by Michael Goldstein, Wilhelm Schlag and Mircea Voda
- A Weighted Prékopa–Leindler Inequality and Sumsets with Quasicubes, by Ben Green, Dávid Matolcsi, Imre Z. Ruzsa, George Shakan and Dmitrii Zhelezov
- Equidistribution of Affine Random Walks on Some Nilmanifolds, by Weikun He, Tsviqa Lakrec and Elon Lindenstrauss
- Logarithmic Quantum Dynamical Bounds for Arithmetically Defined Ergodic Schrödinger Operators with Smooth Potentials, by Svetlana Jitomirskaya and Matthew Powell
- The Slicing Problem by Bourgain, by Boáz Klartag and Vitali Milman
- On the Work of Jean Bourgain in Nonlinear Dispersive Equations, by Carlos Kenig
- On Trace Sets of Restricted Continued Fraction Semigroups, by Alex Kontorovich
- Polynomial Equations in Subgroups and Applications, by Sergei Konyagin, Igor Shparlinski and Ilya V. Vyugin
- Exponential Sums, Twisted Multiplicativity, and Moments, by Emmanuel Kowalski and Kannan Soundararajan
- The Ternary Goldbach Problem with a Missing Digit and Other Primes of Special Types, by Helmut Maier and Michael Th. Rassias
- A Note on Harmonious Sets, by Yves Meyer
- On the Multiplicative Group Generated by Two Primes in , by Péter Varjú
References[edit]
- ↑ Avila, A.; Rassias, M. Th.; Sinai, Y. (2022). Analysis at Large: Dedicated to the Life and Work of Jean Bourgain. Springer, New York. Search this book on
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