Kolesnik, Alexander D.2025-07-092024KOLESNIK, Alexander D. Characteristic Function of the Markov Random Flight in Higher Dimensions. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 443-447. ISBN 978-9975-68-515-3.978-9975-68-515-3https://msuir.usm.md/handle/123456789/18288Two series representations of the characteristic function of the multidimensional symmetric Markov random flight, are presented. These series are the decompositions of the characteristic function with respect to Bessel functions and with respect to time variable, whose coefficients are given by recurrent relations, as well as in the form of special determinants. Basing on these series representations, an asymptotic formula for the second moment function of the process, is obtained.enMarkov random flightcharacteristic functionseries representationrecurrent relationsmoment functionasymptotic formulaArticle