We consider a well-known family of SDEs with irregular drifts and the correspondent zero noise limits. Using (mollified) local times, we show which trajectories are selected. The approach is completely probabilistic and relies on elementary stochastic calculus only.
Moduli of continuity of local times of random walks on graphs in terms of the resistance metric
Moduli of continuity for the local times of rebirthed Markov processes
On the uniform Besov regularity of local times of general processes
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