9 citations · 9 across the 8 of their papers we have counts for
10 papers
The limiting distribution of the hook length of a randomly chosen cell in a random Young diagram
Ljuben Mutafchiev
Let be the number of all integer partitions of the positive integer and let be a partition, selected uniformly at random from among all such partitions. It is…
Asymptotic Analysis of Expectations of Plane Partition Statistics
Ljuben Mutafchiev
Assuming that a plane partition of the positive integer is chosen uniformly at random from the set of all such partitions, we propose a general asymptotic scheme for the comput…
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…
A Note on Goldbach Partitions of Large Even Integers
Ljuben Mutafchiev
Let be the set of all partitions of the even integers from the interval into two odd prime parts. We show that as $n\to\…
Asymptotic Analysis and Random Sampling of Digitally Convex Polyominoes
Olivier Bodini, Alice Jacquot, Philippe Duchon +1
Recent work of Brlek \textit{et al.} gives a characterization of digitally convex polyominoes using combinatorics on words. From this work, we derive a combinatorial symbolic descr…