Results 31 to 40 of about 35,097 (119)
Presentations of the braid group of the complex reflection group G(d,d,n)$G(d,d,n)$
Abstract We show that the braid group associated to the complex reflection group G(d,d,n)$G(d,d,n)$ is an index d$d$ subgroup of the braid group of the orbifold quotient of the complex numbers by a cyclic group of order d$d$. We also give a compatible presentation of G(d,d,n)$G(d,d,n)$ and its braid group for each tagged triangulation of the disk with ...
Francesca Fedele, Bethany Rose Marsh
wiley +1 more source
Simplification of exponential factors of irregular connections on P1${\mathbb {P}}^1$
Abstract We give an explicit algorithm to reduce the ramification order of any exponential factor of an irregular connection on P1$\mathbb {P}^1$, using the same types of basic operations as in the Katz–Deligne–Arinkin algorithm for rigid irregular connections.
Jean Douçot
wiley +1 more source
The authors investigate the problem of two‐dimensional (2D) direction of arrival (DOA) estimation of multiple signals for coprime planar arrays (CPAs) in this study and they propose a computationally efficient 1D partial spectral search approach based on multiple signal classification (MUSIC) algorithm.
Zheng Wang, Zhang Xiaofei, Shi Zhan
openaire +1 more source
Research on Three‐Dimensional Autonomous Obstacle Avoidance Path Planning Methods for UAVs
This study presents a three‐dimensional autonomous obstacle‐avoidance path planning method for unmanned aerial vehicles (UAVs) based on a deep reinforcement learning (DRL)‐enhanced Mayfly Algorithm. The traditional Mayfly Algorithm suffers from issues such as random initial population generation and slow convergence.
Chong Wu, Hao Cheng, Hua Wang
wiley +1 more source
An asymptotic local–global theorem on heights of some Kleinian group orbits
Abstract We prove an asymptotic local–global theorem on the heights of point orbits of thin subgroups of Bianchi groups in H3$\mathbb {H}^3$.
Xuanxuan Xiao, Xin Zhang
wiley +1 more source
ABSTRACT We study a random walk on the Lie algebra sl2(Fp)$$ {\mathfrak{sl}}_2\left({\mathbf{F}}_p\right) $$ where new elements are produced by randomly applying adjoint operators of two generators. Focusing on the generic case where the generators are selected at random, we analyze the limiting distribution of the random walk and the speed at which it
Urban Jezernik, Matevž Miščič
wiley +1 more source
Families of Multidimensional Periodic Arrays With Large Peak Auto‐ to Cross‐Correlation Ratios
We propose two new families of n‐dimensional periodic arrays for digital video watermarking constructed from shifted versions of a base array obtained by folding a ternary Sidelnikov sequence. The resulting arrays achieve peak autocorrelation of order p^(2l) and low non‐peak auto‐correlation and cross‐correlation of order pl$p^{l}$, for l≥n$l \ge n ...
Cesar Fernando Bolaños Revelo +1 more
wiley +1 more source
This paper proposes a multitarget direct position determination (DPD) method for mobile single observation stations based on the second‐order difference coprime array (SODCA), which expands the virtual array aperture via redundant data averaging and adopts a three‐level covariance matrix reconstruction framework (zero‐interpolation, spatial smoothing ...
Hongzhen Wang +3 more
wiley +1 more source
To address the issue that the traditional direct position determination (DPD) method for coprime arrays (CAs) has limited performance in scenarios with low signal‐to‐noise ratio (SNR) and small quantity of observation data, a progressive optimization method based on the averaging of redundant data from virtual array elements is proposed. This method is
Hongzhen Wang +4 more
wiley +1 more source
A Super Augmented Nested Array With L‐Shaped Geometry for Enhanced Two‐Dimensional DOA Estimation
This study proposes an L‐shaped super augmented nested array (LSANA) structure for two‐dimensional (2‐D) direction of arrival (DOA) estimation. The proposed LSANA structure consists of two linear arrays located along the x‐axis and y‐axis, respectively.
Zhiyuan Xie +4 more
wiley +1 more source

