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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Lines on holomorphic contact manifolds and a generalization of (2,3,5)-distributions to higher dimensions
全纯接触流形 线和 （2，3，5） 高维度推广
2023/4/19
Since the celebrated work by Cartan, distributions with small growth vector (2,3,5) have been studied extensively. In the holomorphic setting, there is a natural correspondence between holomorphic (2,...
Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d ≥ 3. We show that A(t) is approximately spherical, up to an O(√log t) erro...
The complex Goldberg-Sachs theorem in higher dimensions
The complex Goldberg-Sachs theorem higher dimensions Differential Geometry
2011/9/2
Abstract: We study the geometric properties of holomorphic distributions of totally null $m$-planes on a $(2m+\epsilon)$-dimensional complex Riemannian manifold $(\mathcal{M}, \bm{g})$, where $\epsilo...
Samll BGK waves and nonlinear Landau damping (higher dimensions)
Samll BGK waves nonlinear Landau damping
2011/9/15
Consider Vlasov-Poisson system with a fixed ion background and periodic condition on the space variables, in any dimension d 2. First, we show that for general homogeneous equilibrium and any period...
Let A(t) denote the cluster produced by internal di usion limited aggregation (internal DLA) with t particles in dimension d 3. We show that A(t) is approximately spherical, up to an O(
p log t) er...
Dynamical Implications of Adjustments to Proper Time Caused by Higher Dimensions: A Note
Dynamical Implications Higher Dimensions
2010/11/16
When the proper time of general relativity is adjusted to reflect the possible existence of higher dimensions, small dynamical effects appear in spacetime of the sort usually associated with the cosmo...
Dynamical Implications of Adjustments to Proper Time Caused by Higher Dimensions: A Note
Higher dimensions Cosmological constant Hubble’s Law Heisenberg’s relation
2010/12/21
When the proper time of general relativity is adjusted to reflect the possible existence
of higher dimensions, small dynamical effects appear in spacetime of the sort usually associated with the cosm...
Here we prove that for a smooth projective variety $X$ of arbitrary dimension and for a vector bundle $E$ over $X$, the Harder-Narasimhan filtration of a Frobenius pull back of $E$ is a refinement of...
Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
Universal Area Product Formulae Black Holes Higher Dimensions
2010/12/21
We present explicit results for the product of all horizon areas for general rotating multi-charge black holes, both in asymptotically flat and asymptotically anti-de Sitter spacetimes in four and hig...
Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
Product Formulae Rotating Charged Black Holes
2010/12/22
We present explicit results for the product of all horizon areas for general rotating multi-charge black holes, both in asymptotically flat and asymptotically anti-de Sitter spacetimes in four and hig...
Infinite disorder scaling of random quantum magnets in three and higher dimensions
Infinite disorder scaling random quantum magnets dimensions
2010/11/11
Using a very efficient numerical algorithm of the strong disorder renormalization group method we have extended the investigations about the critical behavior of the random transverse-field Ising mode...
Closed nodal surfaces for simply connected domains in higher dimensions
Laplacian eigenfunction nodal domain
2010/12/1
We give an example of a domain in dimension N 3, homeomorphic to a ball and with analytic boundary, for which the second eigenvalue of the Dirichlet Laplacian has an eigenfunction with a closed noda...
Uniform density static fluid sphere in higher dimensions and its universality
spacetime dimension uniform density sphere
2010/3/18
In Newtonian theory, gravity inside a constant density static sphere is independent of spacetime dimension. Interestingly this general result is also carried over to Einsteinian as well as higher orde...
Features of gravitational waves in higher dimensions
gravitational waves higher dimensions
2010/3/17
There are several fundamental differences between four-dimensional and higher-dimensional gravitational waves, namely in the so called braneworld set-up. One of them is their asymptotic behavior withi...
Global existence of the heat flow for H-systems in higher dimensions
Global existence heat flow H-systems higher dimensions
2018/4/20
In this paper we consider the heat flow for the H-system with variable function H (·) in higher dimensions, and establish global existence and uniqueness.