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The $$\alpha $$ α -stable L $$\acute{\mathrm{e}}$$ e ´ vy motion together with the Poisson process and Brownian motion are the most important examples of L $$\acute{\mathrm{e}}$$ e ´ vy processes, which form the first class of stochastic processes being studied in the modern spirit. In this paper, the stochastic processes driven by $$\alpha $$ α -stable L $$\acute{\mathrm{e}}$$...
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