85 citations
- Bulgarian Academy of SciencesBG17 papers
- Institute of Mathematics and InformaticsBG13 papers
- Institute for Nuclear Research and Nuclear EnergyBG5 papers
- Joint Institute for Nuclear ResearchRU4 papers
- Max Planck Institute for MathematicsDE4 papers
- Sofia University "St. Kliment Ohridski"BG4 papers
- Institute of Space Science - INFLPR SubsidiaryRO3 papers
- P.N. Lebedev Physical Institute of the Russian Academy of SciencesRU3 papers
- Queen Mary University of LondonGB3 papers
- A. Alikhanyan National LaboratoryAM2 papers
- Institute for High Energy PhysicsES2 papers
- Koç UniversityTR2 papers
4 papers · 1 filter
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…
Survival Probabilities for N-ary Subtrees on a Galton-Watson Family Tree
Ljuben Mutafchiev
The family tree of a Galton-Watson branching process may contain N-ary subtrees, i.e. subtrees whose vertices have at least N>0 children. For family trees without infinite N-ary su…
Number of Complete N-ary Subtrees on Galton-Watson Family Trees
George P. Yanev, Ljuben Mutafchiev
We associate with a Bienayme-Galton-Watson branching process a family tree rooted at the ancestor. For a positive integer N, define a complete N-ary tree to be the family tree of a…