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math.PR2026

Degenerate Diffusions on Continuum Percolation and Hamilton-Jacobi-Bellman Equations

Rodrigo Bazaes, Alexander Mielke, Chiranjib Mukherjee

We study degenerate controlled diffusions and Hamilton--Jacobi--Bellman equations posed on genuine continuum percolation clusters. The diffusion is constrained to evolve inside the…