Molchanov, IlyaIlyaMolchanov0000-0003-2502-0334Ralchenko, KostiantynKostiantynRalchenko2024-10-232024-10-232015https://boris-portal.unibe.ch/handle/20.500.12422/135492We introduce a multistable subordinator, which generalizes the stable subordinator to the case of time-varying stability index. This enables us to define a multifractional Poisson process. We study properties of these processes and establish the convergence of a continuous-time random walk to the multifractional Poisson process.en300 - Social sciences, sociology & anthropology::360 - Social problems & social services500 - Science::510 - Mathematicsarticle10.7892/boris.722801407.245310.1016/j.spl.2014.09.011