Invariant distributions and tensor tomography for Gaussian thermostats
  In this paper we consider the Gaussian thermostat ray transform on both closed Riemannian surfaces and compact Riemannian surfaces with boundary. We establish certain results on the injectivity of the thermostat ray transform and the surjectivity of its adjoint. 
Yernat M. Assylbekov and Hanming Zhou
math.DG math.AP math.DS