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Properties of switching jump diffusions: maximum principles and Harnack inequalities - MaRDI portal

Properties of switching jump diffusions: maximum principles and Harnack inequalities (Q1740518)

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Properties of switching jump diffusions: maximum principles and Harnack inequalities
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    Properties of switching jump diffusions: maximum principles and Harnack inequalities (English)
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    30 April 2019
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    This authors derive a maximum principle and Harnack inequalities for a class of jump-diffusion processes with regime switching. In comparison with continuous switching diffusions, the associated operators are non-local and lead to systems of integro-differential equations. Those results should be applicable in characterizing recurrence and ergodicity for switching jump diffusions.
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    jump diffusion
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    regime switching
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    Harnack inequality
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    maximum principle
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