Derives scaling limit for collision time process of two walks on 4D random walk trace via Noda's result and proves infinitely many triple collisions for three walks.
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2026 2verdicts
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Derives quantitative convergence rates for heat kernels and semigroups on resistance metric spaces under Gromov-Hausdorff-vague convergence, with applications to Sierpinski gasket random walks and the Bouchaud trap model.
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Collision properties of the four-dimensional random walk trace
Derives scaling limit for collision time process of two walks on 4D random walk trace via Noda's result and proves infinitely many triple collisions for three walks.
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Convergence rate estimates for semigroups and heat kernels associated with resistance forms
Derives quantitative convergence rates for heat kernels and semigroups on resistance metric spaces under Gromov-Hausdorff-vague convergence, with applications to Sierpinski gasket random walks and the Bouchaud trap model.