Jacobi branching random walks. Approach using orthogonal polynomials.
Main publications:
Lyulintsev A. V., “Markovskie vetvyaschiesya protsessy po $\mathbf{Z}_+$ s pogloscheniem v nule”, Zapiski nauchnykh seminarov POMI, 526 (2023), 109-129
Lyulintsev A. V., “Markovskie vetvyaschiesya sluchainye bluzhdaniya po $\mathbf{Z}_+$. Podkhod s ispolzovaniem ortogonalnykh mnogochlenov. I”, Teoriya veroyatn. i ee primen., 69:1 (2024), 91–111