Abstract
In this work, we examine thermalon phase transition between AdS and dS vacua in Einstein-Gauss-Bonnet gravity by considering the R\'{e}nyi statistics. The thermalon changes the asymptotic structure of spacetimes via the bubble nucleation of spherical thin-shells which host a black hole in the interior. All relevant thermodynamical quantities are computed in terms of the R\'{e}nyi statistics in order to demonstrate the possible existence of the AdS to dS phase transition. In addition, we also comment on the behaviors of the phase transitions in the R\'{e}nyi statistics.
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