3 papers
stat.AP2026
A Time-Varying Branching Process Approach to Model Self-Renewing Cells
Huyen Nguyen, Haim Bar, Zhiyi Chi +1
Stem cells, through their ability to produce daughter stem cells and differentiate into specialized cells, are essential in the growth, maintenance, and repair of biological tissue…
math.PR2025
On a Variation of Gambler's Ruin Problem
Zhiyi Chi, Vladimir Pozdnyakov
Assume that letters (from a finite alphabet) in a text form a Markov chain. We track two distinct words, and . A gambler gains 1 point for each occurrence of (including…
math.PR2025
High Dimensional Space Oddity
Haim Bar, Vladimir Pozdnyakov
In his 1996 paper, Talagrand highlighted that the Law of Large Numbers (LLN) for independent random variables can be viewed as a geometric property of multidimensional product spac…