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High order heat-type equations and random walks on the complex plane

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  • Bonaccorsi, Stefano
  • Mazzucchi, Sonia

Abstract

A probabilistic construction for the solution of a general class of high order heat-type equations is constructed in terms of the scaling limit of random walks in the complex plane.

Suggested Citation

  • Bonaccorsi, Stefano & Mazzucchi, Sonia, 2015. "High order heat-type equations and random walks on the complex plane," Stochastic Processes and their Applications, Elsevier, vol. 125(2), pages 797-818.
    • Handle: RePEc:eee:spapps:v:125:y:2015:i:2:p:797-818
    DOI: 10.1016/j.spa.2014.08.010
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    References listed on IDEAS

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    1. Ma Ching-to Albert, 2008. "Health Care Economics and Policy: An Introduction," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 8(2), pages 1-4, January.
    2. Hochberg, Kenneth J. & Orsingher, Enzo, 1994. "The arc-sine law and its analogs for processes governed by signed and complex measures," Stochastic Processes and their Applications, Elsevier, vol. 52(2), pages 273-292, August.
    3. Beghin, Luisa & Hochberg, Kenneth J. & Orsingher, Enzo, 2000. "Conditional maximal distributions of processes related to higher-order heat-type equations," Stochastic Processes and their Applications, Elsevier, vol. 85(2), pages 209-223, February.
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    Cited by:

    1. Bonaccorsi, Stefano & Calcaterra, Craig & Mazzucchi, Sonia, 2017. "An Itô calculus for a class of limit processes arising from random walks on the complex plane," Stochastic Processes and their Applications, Elsevier, vol. 127(9), pages 2816-2840.

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