Yong Kong

collaborators

5 papers

math.CO2024

Multiple consecutive runs of multi-state trials: distributions of $(k_{1}, k_{2}, \dots, k_{ℓ})$ patterns

Yong Kong

The pattern $(k_{1}, k_{2}, \dots, k_{ℓ})$ is defined to have at least $k_{1}$ consecutive $1$ 's followed by at least $k_{2}$ consecutive $2$ 's, $\dots$ , followed by at least $k_{ℓ}$ con…

math.CA2024

Adventitious angles problem: the lonely fractional derived angle

Yong Kong, Shaowei Zhang

In the "classical" adventitious angle problem, for a given set of three angles $a$ , $b$ , and $c$ measured in integral degrees in an isosceles triangle, a fourth angle $I^¸$ (the der…

math.CO2024

Distributions of successions of arbitrary multisets

Yong Kong

By using the matrix formulation of the two-step approach to distributions of patterns in random sequences, recurrence and explicit formulas for the generating functions of successi…

math.CO2024

Joint distribution of rises, falls, and number of runs in random sequences

Yong Kong

By using the matrix formulation of the two-step approach to the distributions of runs, a recursive relation and an explicit expression are derived for the generating function of th…

math.CO2024

The m-th Longest Runs of Multivariate Random Sequences

Yong Kong

The distributions of the $m$ -th longest runs of multivariate random sequences are considered. For random sequences made up of $k$ kinds of letters, the lengths of the runs are sort…

Multiple consecutive runs of multi-state trials: distributions of (k1​,k2​,…,kℓ​) patterns

Adventitious angles problem: the lonely fractional derived angle

Distributions of successions of arbitrary multisets

Joint distribution of rises, falls, and number of runs in random sequences

The m-th Longest Runs of Multivariate Random Sequences

Multiple consecutive runs of multi-state trials: distributions of $(k_{1}, k_{2}, \dots, k_{ℓ})$ patterns