Journal of the American Mathematical Society

SCOPUS (1988-2023)SCIE-ISI

  1088-6834

  0894-0347

  Mỹ

Cơ quản chủ quản:  American Mathematical Society , AMER MATHEMATICAL SOC

Lĩnh vực:
Mathematics (miscellaneous)Applied Mathematics

Các bài báo tiêu biểu

Canonical bases arising from quantized enveloping algebras
Tập 3 Số 2 - Trang 447-498
G. Lusztig
A bilinear estimate with applications to the KdV equation
Tập 9 Số 2 - Trang 573-603
Carlos E. Kenig, Gustavo Ponce, Luis Vega
Well-posedness of the initial value problem for the Korteweg-de Vries equation
Tập 4 Số 2 - Trang 323-347
Carlos E. Kenig, Gustavo Ponce, Luis Vega
The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
Tập 12 Số 4 - Trang 1055-1090 - 1999
Allen Knutson, Terence Tao
Well-posedness in Sobolev spaces of the full water wave problem in 3-D
Tập 12 Số 2 - Trang 445-495
Sijue Wu

We consider the motion of the interface of a 3-D inviscid, incompressible, irrotational water wave, with air region above water region and surface tension zero. We prove that the motion of the interface of the water wave is not subject to Taylor instability, as long as the interface separates the whole 3-D space into two simply connected

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Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
Tập 16 Số 3 - Trang 581-603
Andreĭ Okounkov, Nicolai Reshetikhin

The Schur process is a time-dependent analog of the Schur measure on partitions studied by A. Okounkov inInfinite wedge and random partitions, Selecta Math., New Ser.7(2001), 57–81. Our first result is that the correlation functions of the Schur process are determinants with a kernel that has a nice contour integral representation in terms of the parameters of the process. This general result is t...

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Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities
Tập 28 Số 1 - Trang 183-197
Xiuxiong Chen, Simon Donaldson, Song Sun

This is the first of a series of three papers which prove the fact that a K-stable Fano manifold admits a Kähler-Einstein metric. The main result of this paper is that a Kähler-Einstein metric with cone singularities along a divisor can be approximated by a sequence of smooth Kähler metrics with controlled geometry in the Gromov-Hausdorff sense.

A variational principle for domino tilings
Tập 14 Số 2 - Trang 297-346
Henry Cohn, Richard Kenyon, James Propp

We formulate and prove a variational principle (in the sense of thermodynamics) for random domino tilings, or equivalently for the dimer model on a square grid. This principle states that a typical tiling of an arbitrary finite region can be described by a function that maximizes an entropy integral. We associate an entropy to every sort of local behavior domino tilings can exhibit, and prove that...

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Image restoration: Total variation, wavelet frames, and beyond
Tập 25 Số 4 - Trang 1033-1089
Jian‐Feng Cai, Bin Dong, Stanley Osher, Zuowei Shen

The variational techniques (e.g. the total variation based method) are well established and effective for image restoration, as well as many other applications, while the wavelet frame based approach is relatively new and came from a different school. This paper is designed to establish a connection between these two major approaches for image restoration. The main result of this paper shows that ...

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Singular Kähler-Einstein metrics
Tập 22 Số 3 - Trang 607-639 - 2009
Philippe Eyssidieux, Vincent Guedj, Ahmed Zériahi