This chapter explores heat noise power and its fluctuations in chiral quantum Hall systems, focusing on how finite capacitance and temperature fluctuations of the Ohmic contact (OC) influence thermal transport. We first show that in equilibrium the heat noise follows a universal form, while in the Coulomb blockade regime the OC suppresses heat equilibration. Introducing temperature fluctuations due to finite heat capacity leads to a new energy relaxation time, affecting both the heat noise and thermal conductance. We extend the analysis to multiple edge channels, demonstrating how the OC’s finite capacitance alters heat dynamics. Temperature fluctuations also generate non-Gaussian features in charge transport, leading to a non-zero fourth cumulant of the transmitted charge, which is absent in purely quadratic bosonized models. Additionally, applying a voltage bias results in a non-zero third cumulant, further highlighting the role of OC temperature fluctuations in generating non-Gaussian effects. These findings provide a deeper understanding of heat noise in mesoscopic conductors, revealing how charge-heat coupling and slow temperature dynamics influence fluctuations beyond standard Gaussian approximations.