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We investigate a refracted Levy process driven by a jump diffusion process,whose jumps have rational Laplace transforms. For such a stochastic process,formulas for the Laplace transform of its occupation times are deduced. Toderive the main results, some modifications on our previous approach have beenmade. In addition, we obtain a very interesting identity, which is conjecturedto hold for a general refracted Levy process.

Occupation times of refracted Levy processes with jumps having rational Laplace transforms