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math.PR2026
Asymptotics for Beta-Splitting Trees via Homogeneous Fragmentations and Meromorphic Potential Theory
Yoana R. Chorbadzhiyska, Martin Minchev, Mladen Savov
Inspired by recent work of Aldous, Janson, and Pittel on the critical beta-splitting model, we study the full beta-splitting family for beta greater than minus two through a canoni…
math.PR2025
Some developments of exchangeable measure-valued Pólya sequences
Yoana R. Chorbadzhiyska, Hristo Sariev, Mladen Savov
Measure-valued Pólya sequences (MVPS) are processes whose dynamics are governed by generalized Pólya urn schemes with infinitely many colors. Assuming a general reinforcement rule,…