3 problems
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Conjecture on higher-dimensional resetting performance
Consider a search process with resetting in a distributed-target environment, and let the mean first-passage time (MFPT) measure search performance. Higher-dimensional resetting co…
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Weiss–Shuler–Lindenberg conjecture on extreme first-passage times in higher dimensions
Weiss–Shuler–Lindenberg conjecture. The expected -th extreme first-passage time satisfies
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Conjecture on first passage statistics of the Friedman urn process
Let denote the numbers of black and white balls in the Friedman urn process, whose transition probabilities are … First passage statistics for this urn process are much clo…