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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The core-shell obstacle scattering in a multilayered medium
多层介质 核壳障碍物 散射 边界积分方程
2023/4/26
Scattering from the coated targets embedded in a multilayered medium has attracted much interest during recent years for extensive applications, such as sea radar target detection and underwater radar...
An Inverse Problem for Gibbs Fields with Hard Core Potential
Gibbs Field Gibbs Measure Cluster Functions Pair Potential Corre-lation Functions Ursell Functions
2015/9/28
It is well known that for a regular stable potential of pair interaction and a small value of activity one can define the corresponding Gibbs field (a measure on the space of configurations of points ...
Finite size scaling for the core of large random hypergraphs
Core random hyper-graph random graph low-density parity-check codes XOR-SAT fi nite size scaling
2015/8/21
The (two) core of an hyper-graph is the maximal collection of hyper-edges within which no vertex appears only once. It is of importance in tasks such as efficiently solving a large linear system over ...
A generalized Peierls-Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu
Dislocation dislocation structures micromechanical modeling Peierls-Nabarro model
2012/8/8
In this paper, we present a generalized Peierls-Nabarro model for curved dislo-
cations. In the generalized Peierls-Nabarro model, the anisotropic elastic energy is
obtained e±ciently by solving the...
Preference aggregation theory without acyclicity: The core without majority dissatisfaction
Core Nakamura number kappa number simple games voting games maximal elements acyclic preferences limit ordinals
2011/9/29
Abstract: Acyclicity of individual preferences is a minimal assumption in social choice theory. We replace that assumption by the direct assumption that preferences have maximal elements on a fixed ag...
Soliton self-frequency blue-shift in gas-filled hollow-core photonic crystal fibers
Soliton self-frequency blue-shift hollow-core photonic crystal fibers
2011/7/7
We show theoretically that the photoionization process in a hollow-core photonic crystal fiber filled with a Raman-inactive noble gas leads to a constant acceleration of solitons in the time domain wi...
Heterogeneous-k-core versus Bootstrap Percolation on Complex Networks
Heterogeneous-k-core Bootstrap Percolation Complex Networks
2011/3/3
We introduce the heterogeneous-k-core, which generalizes the k-core, and contrast it with bootstrap percolation.
Linearons: highly non-instantaneous solitons in liquid-core photonic crystal fibers
Optics (physics.optics) Mathematical Physics (math-ph) Pattern Formation and Solitons (nlin.PS)
2010/11/10
The nonlinear propagation of light pulses in liquid-filled photonic crystal fibers is considered. Due to the slow reorientational nonlinearity of some molecular liquids, the nonlinear modes propagatin...
If $s$ and $t$ are relatively prime J. Olsson proved in 2008 that the $s$-core of a $t$-core partition is again a $t$-core partition, and that the $s$-bar-core of a $t$-bar-core partition is again a ...
We investigate when the space $\mathcal O_X$ of open subsets of a topological space $X$ endowed with the Scott topology is core compact. Such conditions turn out to be related to infraconsonance of $X...
QoS-constrained core selection algorithm for multicast routing
Quality of Service Multicast routing
2010/9/16
With the proliferation of multimedia group applications, multicast is becoming increasingly important. We propose a core selection algorithm to the core selection problem in Core-based multicast routi...