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

48 papers

math.PR2026

A new look at some aspects of one-dimensional random sequential adsorption and its continuum limit

Ross G. Pinsky

Fix a positive integer $k \geq 2$ , and for $n \geq k$ , consider a row of $n$ molecules. From among the $n - k + 1$ nearest-neighbor $k$ -tuples of molecules, select one uniformly at random a…

math.PR2026

A secretary for Messrs. Luce and Mallows

Ross G. Pinsky

We analyze the secretary problem in the case that the $n$ ranked items arrive not in uniformly random order but rather according to a certain type of Luce distribution or according…

math.PR2022

Clustering of consecutive numbers in permutations avoiding a pattern of length three or avoiding a finite number of simple patterns

Ross G. Pinsky

For $η \in S_{3}$ , let $S_{n}^{av (η)}$ denote the set of permutations in $S_{n}$ that avoid the pattern $η$ , and let $E_{n}^{av (η)}$ denote the expectation with respect to the…

math.PR2022

Comparison of Brownian jump and Brownian bridge resetting in search for Gaussian target on the line and in space

Ross G. Pinsky

For $d \geq 1$ and $r > 0$ , let $X^{(d; r)} (\cdot)$ be a $d$ -dimensional Brownian motion with diffusion coefficient $D$ , equipped with an exponential clock with rate $r$ . When the clock…

math.PR2022

Two measures of efficiency for the secretary problem with multiple items at each rank

Ross G. Pinsky

For $2 \leq k \in N$ , consider the following adaptation of the classical secretary problem. There are $k$ items at each of $n$ linearly ordered ranks. The $k n$ items are revea…

math.PR2022

Exact formula and asymptotic behavior for the expected number of inversions in a random permutation avoiding a pattern of length three

Ross G. Pinsky

For $τ \in S_{3}$ , let $S_{n} (τ)$ denote the set of permutations in $S_{n}$ which avoid the pattern $τ$ , and let $E_{n}^{τ}$ denote the expectation with respect to the uniformly random probab…