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Annales Mathematiques du Quebec最新文献

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On singularities in the quaternionic Burgers equation 四元数Burgers方程的奇异性
IF 0.5 Q3 Mathematics
Annales Mathematiques du Quebec
Pub Date : 2021-10-20 DOI: 10.1007/s40316-021-00175-5
V. Sverák
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引用次数: 0
Interpolation of Beilinson–Kato elements and p-adic L-functions Beilinson-Kato元与p进l函数的插值
IF 0.5 Q3 Mathematics
Annales Mathematiques du Quebec
Pub Date : 2021-10-08 DOI: 10.1007/s40316-021-00172-8
Denis Benois, Kâzım Büyükboduk

Our objective in this series of two articles, of which the present article is the first, is to give a Perrin-Riou-style construction of p-adic L-functions (of Bellaïche and Stevens) over the eigencurve. As the first ingredient, we interpolate the Beilinson–Kato elements over the eigencurve (including the neighborhoods of (theta )-critical points). Along the way, we prove étale variants of Bellaïche’s results describing the local properties of the eigencurve. We also develop the local framework to construct and establish the interpolative properties of these p-adic L-functions away from (theta )-critical points.

在这一系列的两篇文章中，本文是第一篇，我们的目标是给出特征曲线上p-adic L-函数（Bellaïche和Stevens）的Perrin-Riou式构造。作为第一个成分，我们在本征曲线上插值Beilinson–Kato元素（包括（θ）-临界点的邻域）。在此过程中，我们证明了Bellaïche结果的étale变体，该结果描述了本征曲线的局部性质。我们还发展了局部框架来构造和建立这些p-adic L-函数在远离（θ）-临界点处的插值性质。
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引用次数: 1
Kolmogorov’s theory of turbulence and its rigorous 1d model Kolmogorov湍流理论及其严格的一维模型
IF 0.5 Q3 Mathematics
Annales Mathematiques du Quebec
Pub Date : 2021-10-05 DOI: 10.1007/s40316-021-00174-6
Sergei Kuksin

This paper is a synopsis of the recent book [9]. The latter is dedicated to the stochastic Burgers equation as a model for 1d turbulence, and the paper discusses its content in relation to the Kolmogorov theory of turbulence.

这篇论文是最近一本书的概要[9]。后者致力于将随机Burgers方程作为一维湍流的模型，并结合Kolmogorov湍流理论讨论了其内容。
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引用次数: 3
Asymptotic action and asymptotic winding number for area-preserving diffeomorphisms of the disk 盘的保面积微分同态的渐近作用和渐近圈数
IF 0.5 Q3 Mathematics
Annales Mathematiques du Quebec
Pub Date : 2021-09-23 DOI: 10.1007/s40316-021-00173-7
David Bechara Senior

Given a compactly supported area-preserving diffeomorphism of the disk, we prove an integral formula relating the asymptotic action to the asymptotic winding number. As a corollary, we obtain a new proof of Fathi’s integral formula for the Calabi homomorphism on the disk.

给出了一个保紧支撑区域的圆盘的微分同胚性，证明了一个将渐近作用与渐近绕组数联系起来的积分公式。作为推论，我们得到了盘上Calabi同态的Fathi积分公式的一个新证明。
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引用次数: 5
Volume formula for N-fold reduced products N倍还原产物的体积公式
IF 0.5 Q3 Mathematics
Annales Mathematiques du Quebec
Pub Date : 2021-07-30 DOI: 10.1007/s40316-021-00171-9
L. Jeffrey, Jia Ji

Let G be a semisimple compact connected Lie group. An N-fold reduced product of G is the symplectic quotient of the Hamiltonian system of the Cartesian product of N coadjoint orbits of G under diagonal coadjoint action of G. Under appropriate assumptions, it is a symplectic orbifold. Using the technique of nonabelian localization and the residue formula of Jeffrey and Kirwan, we investigate the symplectic volume of an N-fold reduced product of G. Suzuki and Takakura gave a volume formula for the N-fold reduced product of ( mathbf {SU}(3) ) in [25] by using geometric quantization and the Riemann–Roch formula. We compare our volume formula with theirs and prove that our volume formula agrees with theirs in the case of triple reduced products of ( mathbf {SU}(3) ).

设G是一个半单紧连通李群。G的N次约化乘积是在G的对角共点作用下G的N个共点轨道的笛卡尔乘积的哈密顿系统的辛商。在适当的假设下，它是辛轨道折叠。利用非贝利亚局部化技术和Jeffrey和Kirwan的残差公式，我们研究了G.Suzuki和Takakura的N倍约化积的辛体积。在[25]中，利用几何量子化和Riemann–Roch公式，给出了（mathbf｛SU｝（3））的N倍简化积的体积公式。我们将我们的体积公式与他们的体积公式进行了比较，并证明了在（mathbf{SU}（3））的三重约化积的情况下，我们的体积方程与他们的一致。
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引用次数: 1
Statistical properties of eigenfunctions 本征函数的统计性质
IF 0.5 Q3 Mathematics
Annales Mathematiques du Quebec
Pub Date : 2021-07-30 DOI: 10.1007/s40316-021-00170-w
Alexander Shnirelman

This is a translation of the paper “Статистические  свойства  собственных  функций” which appeared in the Proceedings of the All-USSR School in Differential Equations with Infinite Number of Independent Variables and in Dynamical Systems with Infinitely Many Degrees of Freedom, Dilijan, Armenia, May 21–June 3, 1973; published by the Armenian Academy of Sciences, Yerevan, 1974. Translated from the Russian original by Semyon Dyatlov.

这是发表在《全苏联学派关于无穷多独立变量微分方程和无穷多自由度动力系统的论文集》（1973年5月21日至6月3日，亚美尼亚迪利坚）上的论文“Сра；亚美尼亚科学院出版，埃里温，1974年。由谢苗·迪亚特洛夫翻译自俄语原文。
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引用次数: 9
On exceptional zeros of Garrett–Hida p-adic L-functions 关于Garrett–Hida p-adic L-函数的例外零
IF 0.5 Q3 Mathematics
Annales Mathematiques du Quebec
Pub Date : 2021-07-01 DOI: 10.1007/s40316-021-00166-6
Massimo Bertolini, Marco Adamo Seveso, Rodolfo Venerucci

This article proves a case of the p-adic Birch and Swinnerton-Dyer conjecture for Garrett p-adic L-functions of [6], in the exceptional zero setting of extended analytic rank 2.

本文证明了[6]的Garrett p-adic L-函数的p-adic Birch和Swinnerton-Dyer猜想在扩展分析秩2的例外零设置中的一个例子。
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引用次数: 2
Around quantum ergodicity 围绕量子遍历性
IF 0.5 Q3 Mathematics
Annales Mathematiques du Quebec
Pub Date : 2021-06-24 DOI: 10.1007/s40316-021-00165-7
Semyon Dyatlov

We discuss Shnirelman’s Quantum Ergodicity Theorem, giving an outline of a proof and an overview of some of the recent developments in mathematical Quantum Chaos.

我们讨论了Shnirelman的量子遍历性定理，给出了一个证明的大纲，并概述了数学量子混沌的一些最新进展。
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引用次数: 6
Algebraicity of the central critical values of twisted triple product L-functions 扭曲三重积l函数中心临界值的代数性质
IF 0.5 Q3 Mathematics
Annales Mathematiques du Quebec
Pub Date : 2021-06-22 DOI: 10.1007/s40316-021-00169-3
Shih-Yu Chen

We study the algebraicity of the central critical values of twisted triple product L-functions associated to motivic Hilbert cusp forms over a totally real étale cubic algebra in the totally unbalanced case. The algebraicity is expressed in terms of the cohomological period constructed via the theory of coherent cohomology on quaternionic Shimura varieties developed by Harris. As an application, we generalize our previous result with Cheng on Deligne’s conjecture for certain automorphic L-functions for ({text {GL}}_3 times {text {GL}}_2).

我们研究了在完全不平衡情况下，在完全实数三次代数上与动Hilbert尖点形式相关的扭曲三乘积L-函数的中心临界值的代数性。代数用Harris提出的四元数Shimura变种上的相干上同调理论构造的上同调周期来表示。作为一个应用，我们推广了我们与Cheng关于Deligne猜想的先前结果，该猜想适用于（｛text｛GL｝｝_3times｛text{GL｝}_2）的某些自同构L-函数。
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引用次数: 2
A short note on inadmissible coefficients of weight 2 and $$2k+1$$ 2 k + 1 newforms 关于权重2和$$2k+1$$ 2 k + 1新形式的不可接受系数的简短说明
IF 0.5 Q3 Mathematics
Annales Mathematiques du Quebec
Pub Date : 2021-06-16 DOI: 10.1007/s40316-021-00168-4
Malik Amir, Andreas Hatziiliou
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引用次数: 0
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