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math.DS2025
Moments of Margulis functions and indefinite ternary quadratic forms
Wooyeon Kim
In this paper, we prove a quantitative version of the Oppenheim conjecture for indefinite ternary quadratic forms: for any indefinite irrational ternary quadratic form that is…
math.DS2024
On divergent on average trajectories for higher rank actions
Wooyeon Kim
For we first show that the Hausdorff dimension of the set of -divergent on average points in the -dimensional closed horosphere in the space of -dimensional E…