@article{8a2e8a0db9d244548e53de54a75414a1,
title = "A Local Large Deviation Principle for Inhomogeneous Birth–Death Processes",
abstract = "The paper considers a continuous-time birth–death process where the jump rate has an asymptotically polynomial dependence on the process position. We obtain a rough exponential asymptotic for the probability of trajectories of a re-scaled process contained within a neighborhood of a given continuous nonnegative function.",
author = "Vvedenskaya, \{N. D.\} and Logachov, \{A. V.\} and Suhov, \{Yu M.\} and Yambartsev, \{A. A.\}",
note = "Funding Information: 1The research was carried out at the Institute for Information Transmission Problems of the Russian Academy of Sciences at the expense of the Russian Science Foundation, project no. 14-50-00150. 2 The research was carried out at the expense of the Russian Science Foundation, project no. 18-11-00129. 3 Supported by the Brazilian National Council for Scientific and Technological Development (CNPq), grant no. 301050/2016-3, and S{\~a}o Paulo Research Foundation (FAPESP), grant no. 2017/10555-0. Publisher Copyright: {\textcopyright} 2018, Pleiades Publishing, Inc.",
year = "2018",
month = jul,
day = "1",
doi = "10.1134/S0032946018030067",
language = "English (US)",
volume = "54",
pages = "263--280",
journal = "Problems of Information Transmission",
issn = "0032-9460",
publisher = "Pleiades Publishing",
number = "3",
}