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Exact stationary state of a d-dimensional run-and-tumble particle in a harmonic potential

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We derive the exact nonequilibrium steady state of a run-and-tumble particle (RTP) in d dimensions confined in an isotropic harmonic trap V(r)=μr^{2}/2, with r=∥r∥. Rotational invariance reduces the problem to the stationary single-coordinate marginal p_{X}... ...