Daniel Chen

activity

20222024

collaborators

4 papers

math.CO2024

Alternative Proof of the Determinant of Complete Non-Ambiguous Trees

Daniel Chen

Complete non-ambiguous trees have been studied in various contexts. Recently, a conjecture was made about their determinants, and subsequently proved by Aval. An alternative proof…

math.CO2023

Expected Number of Dice Rolls Until an Increasing Run of Three

Daniel Chen

A closed form is found for the expected number of rolls of a fair n-sided die until three consecutive increasing values are seen. The answer is rational, and the greatest common di…

math.CO2022

Associated Permutations of Complete Non-Ambiguous Trees

Daniel Chen, Sebastian Ohlig

We explore new connections between complete non-ambiguous trees (CNATs) and permutations. We give a bijection between tree-like tableaux and a specific subset of CNATs. This map is…

math.RT2022

On the number of tilting modules over a class of Auslander algebras

Dan Chen, Xiaojin Zhang

Let $Λ$ be a radical square zero algebra of a Dynkin quiver and let $Γ$ be the Auslander algebra of $Λ$ . Then the number of tilting right $Γ$ -modules is $2^{m - 1}$ if $Λ$ is of $A_{…