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Mohammad Al Attar's Outputs (2)

Stability and finiteness theorems for Wasserstein spaces (2025)
Journal Article
Al Attar, M. (2025). Stability and finiteness theorems for Wasserstein spaces. Proceedings of the American Mathematical Society, 153(3), 1283-1298. https://doi.org/10.1090/proc/17084

Under Gromov–Hausdorff convergence, and equivariant Gromov–Hausdorff convergence, we prove stability results of Wasserstein spaces over certain classes of singular and non-singular spaces. For example, we obtain an analogue of Perelman’s stability th... Read More about Stability and finiteness theorems for Wasserstein spaces.

Stability and equivariant Gromov–Hausdorff convergence (2024)
Journal Article
Alattar, M. (2024). Stability and equivariant Gromov–Hausdorff convergence. Bulletin of the London Mathematical Society, 56(8), 2585-2596. https://doi.org/10.1112/blms.13073

We give applications of equivariant Gromov–Hausdorff convergence in various contexts. Namely, using equivariant Gromov–Hausdorff convergence, we prove a stability result in the setting of compact finite‐dimensional Alexandrov spaces. Moreover, we int... Read More about Stability and equivariant Gromov–Hausdorff convergence.