Mathematical Sciences: Studies of the Statistics of Estimated Rotations

Chang将继续研究 估计的旋转矩阵。 一个重要的应用是 确定过去重建中的错误 构造板块的位置（通常称为“大陆板块 漂移”）。 他分析了球面回归模型， 在装置表面上从一点移动到另一点 球面：乘以正交旋转矩阵A为 随后添加随机误差。针对不同 点，旋转矩阵A保持不变，但误差为 对称分布在相应的旋转 点 将研究该模型的鲁棒扩展。

Chang will continue studies on the statistical properties of estimated rotation matrices. An important application is the determination of the errors in the reconstructions of the past positions of tectonic plates (known popularly as "continental drift"). He analyzes the spherical regression model for the shift from one point to another on the surface of the unit sphere: multiplication by an orthogonal rotation matrix A is followed by the addition of a random error. For different points the rotation matrix A remains the same but the error is symmetrically distributed around the corresponding rotated point. Robust extensions of this model will be studied.