Abstract
Consideration has been given to the propagation of heat in the space around a cylindrically shaped body in the presence of fluctuations of the heat flux through its surface. It has been shown that the corresponding random changes in the temperature and the heat flux are described by integral stochastic equations and belong to the class of non-Markovian processes. Statistical characteristics of the considered fluctuations, including one-dimensional and multidimensional characteristic functions, spectral densities, and probability densities, have been found.
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