Ran Pan

activity

20142018

most citedTensor Transpose and Its Properties

6 citations · 6 across the 6 of their papers we have counts for

collaborators

Showing math.COShow all

5 papers · 1 filter

math.CO2018

Counting Consecutive Pattern Matches in $S_{n} (132)$ and $S_{n} (123)$

Ran Pan, Dun Qiu, Jeffrey Remmel

In this paper, we study the distribution of consecutive patterns in the set of 123-avoiding permutations and the set of 132-avoiding permutations, that is, in $S_{n} (123)$ …

math.CO2017

Block patterns in generalized Euler Permutations

Ran Pan, Jeffrey Brian Remmel

Goulden and Jackson introduced a very powerful method to study the distributions of certain consecutive patterns in permutations, words, and other combinatorial objects which is no…

math.CO2016

Paired patterns in lattice paths

Ran Pan, Jeffrey B. Remmel

Let $L_{n}$ denote the set of all paths from $[0, 0]$ to $[n, n]$ which consist of either unit north steps $N$ or unit east steps $E$ or, equivalently, the set of all words…

math.CO2015

Asymptotics for minimal overlapping patterns for generalized Euler permutations, standard tableaux of rectangular shape, and column strict arrays

Ran Pan, Jeffrey B. Remmel

A permutation $τ$ in the symmetric group $S_{j}$ is minimally overlapping if any two consecutive occurrences of $τ$ in a permutation $σ$ can share at most one element. Bóna \cite{B}…