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Titlebook: Analysis at Large; Dedicated to the Lif Artur Avila,Michael Th. Rassias,Yakov Sinai Book 2022 The Editor(s) (if applicable) and The Author(

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樓主
發(fā)表于 2025-3-21 19:51:13 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Analysis at Large
期刊簡稱Dedicated to the Lif
影響因子2023Artur Avila,Michael Th. Rassias,Yakov Sinai
視頻videohttp://file.papertrans.cn/157/156293/156293.mp4
發(fā)行地址A wide spectrum of subjects influenced by Bourgain’s monumental contributions to mathematics.Pays homage to the life and work of a true pioneer of mathematics.Contributions by leading experts present
圖書封面Titlebook: Analysis at Large; Dedicated to the Lif Artur Avila,Michael Th. Rassias,Yakov Sinai Book 2022 The Editor(s) (if applicable) and The Author(
影響因子.?.Analysis at Large.?is dedicated to Jean Bourgain whose research has deeply influenced the mathematics discipline, particularly in analysis and its interconnections with other fields. In this volume, the contributions made by renowned experts present both research and surveys on a wide spectrum of subjects, each of which pay tribute to a true mathematical pioneer. Examples of topics discussed in this book include?Bourgain’s discretized sum-product theorem, his work in nonlinear dispersive equations, the slicing problem by Bourgain, harmonious sets, the joint spectral radius, equidistribution of affine random walks, Cartan covers and doubling Bernstein type inequalities, a weighted Prékopa-Leindler inequality and sumsets with quasicubes, the fractal uncertainty principle for the Walsh-Fourier transform, the continuous formulation of shallow neural networks as Wasserstein-type gradient flows, logarithmic quantum dynamical bounds for arithmetically defined ergodic Schr?dinger operators, polynomial equations in subgroups, trace sets of restricted continued fraction semigroups, exponential sums, twisted multiplicativity and moments, the ternary Goldbach problem, as well as the multipl
Pindex Book 2022
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沙發(fā)
發(fā)表于 2025-3-21 21:53:55 | 只看該作者
The Continuous Formulation of Shallow Neural Networks as Wasserstein-Type Gradient Flows, for the weights for the error functional. In the limit, as the number of parameters tends to infinity, this gives rise to a family of parabolic equations. This survey aims to discuss this relation, focusing on the associated theoretical aspects appealing to the mathematical community and providing a list of interesting open problems.
板凳
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地板
發(fā)表于 2025-3-22 07:02:58 | 只看該作者
Polynomial Equations in Subgroups and Applications,evious results of P. Corvaja and U. Zannier (2013). We also obtain a conditional improvement of recent results of J. Bourgain, A. Gamburd, and P. Sarnak (2016) and S. V. Konyagin, S. V. Makarychev, I. E. Shparlinski, and I. V. Vyugin (2019) on the structure of solutions to the reduction of the Markoff equation .?+?.?+?.?=?3. modulo a prime ..
5#
發(fā)表于 2025-3-22 09:59:49 | 只看該作者
Exponential Sums, Twisted Multiplicativity, and Moments,, and obtain evidence of un-correlation of exponential sums associated to different suitably unrelated and generic polynomials. The proofs combine analytic arguments with the algebraic interpretation of exponential sums and their monodromy groups.
6#
發(fā)表于 2025-3-22 13:15:29 | 只看該作者
Artur Avila,Michael Th. Rassias,Yakov SinaiA wide spectrum of subjects influenced by Bourgain’s monumental contributions to mathematics.Pays homage to the life and work of a true pioneer of mathematics.Contributions by leading experts present
7#
發(fā)表于 2025-3-22 20:44:18 | 只看該作者
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10#
發(fā)表于 2025-3-23 09:24:31 | 只看該作者
Derivate und Handlungsempfehlungen,r inequality. This is then applied to show that if . are finite sets and . is a subset of a “quasicube”, then .. This result is a key ingredient in forthcoming work of the fifth author and P?lv?lgyi on the sum-product phenomenon.
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