美国数学学会期刊
期刊
会议
图书
作者:Luis A. Caffarelli , Yannick Sire
来源:[J].Bulletin of the American Mathematical Society(IF 2.556), 2019, Vol.57 (1), pp.91-106AMS
摘要:Free boundaries occur in a lot of physical phenomena and are of major interest both mathematically and physically. The aim of this contribution is to describe new ideas and results developed in the last 20 years or so that deal with some nonlocal (sometimes called anomalous) free...
作者:K. Farooq
来源:[J].Conformal Geometry and Dynamics of the American Mathematical Society, 2019, Vol.23 (15), pp.262-282AMS
摘要:We study the properties of the surface $ \Sigma _q$, which is a $ 2q$-fold cover of $ \mathbb{H}/G_q$, where $ G_q$ is a Hecke group and $ q$ is an integer greater than $ 3$. We have slightly different situations for the even and odd values of $ q$. For odd values of $ q$ the sur...
作者:Stephanie van Willigenburg
来源:[J].Bulletin of the American Mathematical Society(IF 2.556), 2019, Vol.57 (1), pp.77-89AMS
摘要:Walks in the plane taking unit-length steps north and east from $ (0,0)$ to $ (n,n)$ never dropping below $ y=x$ and parking cars subject to preferences are two intriguing ingredients in a formula conjectured in 2005, now famously known as the shuffle conjecture. Here we describ...
作者:Thomas Vidick
来源:[J].Bulletin of the American Mathematical Society(IF 2.556), 2019, Vol.57 (1), pp.39-76AMS
摘要:Rapid technological advances point to a near future where engineered devices based on the laws of quantum mechanics are able to implement computations that can no longer be emulated on a classical computer. Once that stage is reached, will it be possible to verify the results of ...
作者:Lawrence Ein , Robert Lazarsfeld
来源:[J].Bulletin of the American Mathematical Society(IF 2.556), 2019, Vol.57 (1), pp.23-38AMS
摘要:This is an introduction, aimed at a general mathematical audience, to recent work of Aprodu, Farkas, Papadima, Raicu, and Weyman. These authors established a long-standing folk conjecture concerning the equations defining the tangent developable surface of the rational normal cur...
作者:David Ishii Smyth
来源:[J].Transactions of the American Mathematical Society(IF 1.019), 2019, Vol.372 (12), pp.8679-8707AMS
摘要:We explain how to compute top-dimensional intersections of $ \psi $-classes on $ \overline {M}_{1,n}(m)$, the moduli space of $ m$-stable curves. On the spaces $ \overline {M}_{1,n}$, these intersection numbers are determined by two recursions, namely, the string equation and dil...

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