  In this work, we describe the geometric and probabilistic properties of a
noncommutative 2- torus in a magnetic field. We study the volume invariance,
integrated scalar curvature and volume form by using the method of perturbation
by inner derivation of the magnetic Laplacian in the noncommutative 2-torus.
Then, we analyze the magnetic stochastic process describing the motion of a
particle subject to a uniform magnetic field on the noncommutative 2-torus,
derive and discuss the related main properties.
