9 citations · 9 across the 8 of their papers we have counts for
4 papers · 1 filter
On the Distribution of the Number of Goldbach Partitions of a Randomly Chosen Positive Even Integer
Ljuben Mutafchiev
Let be the set of all odd primes arranged in increasing order. A Goldbach partition of the even integer is a way of writing it as a sum of two…
Sampling Parts of Random Integer Partitions: A Probabilistic and Asymptotic Analysis
Ljuben Mutafchiev
Let be a partition of the positive integer , selected uniformly at random among all such partitions. Corteel et al. (1999) proposed three different procedures of sampling pa…
Sampling Part Sizes of Random Integer Partitions
Ljuben Mutafchiev
We consider procedures of sampling parts from a random integer partition. We determine asymptotically the probabilty distribution of the randomly-selected part whenever the positiv…
The Size of the Largest Part of Random Weighted Partitions of Large Integers
Ljuben Mutafchiev
For a given sequence of weights (non-negative numbers), we consider partitions of the positive integer n. Each n-partition is selected uniformly at random from the set of all such…