R. Pinsky

activity

20042026

most citedThe compact support property for measure-valued processes

10 citations · 38 across the 41 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.NT2018

Probabilistic Proofs of Some Generalized Mertens' Formulas Via Generalized Dickman Distributions

Ross G. Pinsky

The classical Mertens' formula states that $\prod_{p \leq N} (1 - \frac{1}{p})^{- 1} \sim e^{γ} lo g N,$ where the product is over all primes $p$ less than or equal to $N$ , and $γ$ is the…

math.PR2018

The Infinite Limit of Random Permutations Avoiding Patterns of Length Three

Ross G. Pinsky

For $τ \in S_{3}$ , let $μ_{n}^{τ}$ denote the uniformly random probability measure on the set of $τ$ -avoiding permutations in $S_{n}$ . Let $N^{*} = N \cup {\infty}$ with an ap…

math.PR2018

Diffusive Search with spatially dependent Resetting

Ross G. Pinsky

Consider a stochastic search model with resetting for an unknown stationary target $a \in R$ with known distribution $μ$ . The searcher begins at the origin and performs Brow…

math.PR2018

Optimizing the Drift in a Diffusive Search for a Random Stationary Target

Ross G. Pinsky

Let $a \in R$ denote an unknown stationary target with a known distribution $μ \in P (R)$ , the space of probability measures on $R$ . A diffusive sea…