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math.DS2025
Non-Expanding Random walks on Homogeneous spaces and Diophantine approximation
Gaurav Aggarwal, Anish Ghosh
We study non-expanding random walks on the space of affine lattices and establish a new classification theorem for stationary measures. Further, we prove a theorem that relates the…
math.DS2024
On the Hausdorff dimension of Weighted Singular Vectors
Gaurav Aggarwal, Anish Ghosh
We prove a sharp upper bound on the Hausdorff dimension of weighted singular vectors in using dynamics on homogeneous spaces, specifically the method of integral ine…