40 Central Limit Theorems in Analytic Number Theory 48:39 Kantorovich operators and their ergodic properties 1:02:06 L-Functions of Elliptic Curves Modulo Integers 49:33 The Bootstrap Learning Algorithm 20:49 A logarithmic improvement in the Bombieri-Vinogradov theorem 1:00:48 A Reintroduction to ...
Iwasaki, Spectral analysis and geometry of a sub-Laplacian and related Grushin type operators, in: "Partial Differential Equations and Spectral Theory", Operator Theory: Advances and Applications, 211, 183-287, Springer 2011.W. Bauer, K. Furutani, Spectral analysis and geometry of a Sub-...
Cite this chapter Lück, W. (2001). L2-Invariants and Their Applications to Geometry, Group Theory and Spectral Theory. In: Engquist, B., Schmid, W. (eds) Mathematics Unlimited — 2001 and Beyond. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56478-9_42 Download citat...
His proof proceeds via an analysis of the Cauchy transforms of the involved spectral measures and the Titchmarsh-Kodaira formula. Different proofs are given in [7] (by using subordinacy theory) and in [21] (by reducing to the Aronszajn-Donoghue Theorem). Generalizations of the theorem of Kac...
因为Lurie的 spectral algebraic geometry 其实是 derived algebraic geometry,而这个来自对 moduli space/deformation theory 的研究,而moduli space理论的表示问题涉及到了这些代数几何对象。这方面的必要性必须好好来谈谈,或者说谈谈 derived algebraic geometry 的起源,之后我们再来谈谈合适的文献。 现代的Moduli space理论...
It may also be due in part to the asymptotic expansion of Minakshisundaram and Pleijel. The heat equation involves a parabolic partial differential equation that describes the distribution of heat in a given region over time. This equation has also appears in probability theory to describe random...
Therefore, a method that gives a quick and easy estimate of the difference between two graphs is desirable [34]. As we know, all the topological information of a graph can be found in its adjacency matrix. The spectral graph theory studies the relationship between the properties of graphs ...
This method circumvents singularities associated with black holes and includes infinity, thereby avoiding the need to impose radiative boundary conditions. We illustrate this representation theory on Boyer-Lindquist initial data of two black holes and a scalar wave equation with signal recovery by Cauchy...
the resolution of which would lead to improved scientific understanding and prediction of climate dynamics, as well as assessment of their impacts on human and natural systems. Here, we show that the spectral theory of dynamical systems, combined with techniques from data science, provides an effect...
AdS4/CFT3 : ABJM Theory, Brane Geometry, Correlators and Mellin Space This thesis delves into the A d S 4 / C F T 3 AdS_4/CFT_3 correspondence (M-theory on A d S 4 脳 S 7 / Z k AdS_4 imes S^7 / \\mathbb{Z}_k \\leftrightarr... M Mummalaneni 被引量: 0发表: 2024...