2 papers
math.MG2026
Mean distance between points inside and on the boundary of a convex body
A. S. Lotnikov
The Zaporozhets--Tarasov conjecture is considered, which states that the mean distance between two random points inside a convex body does not exceed the mean distance between two…
math.PR2025
Criticality conditions in the Derrida-Retaux model with a random number of terms
Alexey Lotnikov, Anna Kotova
The article considers the Derrida-Retaux model with a random number of terms, i.e. a sequence of integer random variables defined by the relations $ X_{n + 1} = (X_n^{(1)} + X_n^{(…