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arXiv · 2005.04030

An ideal class to construct solutions for skew Brownian motion equations

Fulgence Eyi Obiang·Octave Moutsinga·Youssef Ouknine
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Abstract

This paper contributes to the study of stochastic processes of the class $(Σ)$. First, we extend the notion of the above-mentioned class to càdlàg semi-martingales, whose finite variational part is considered càdlàg instead of continuous. Thus, we present some properties and propose a method to characterize such stochastic processes. Second, we investigate continuous processes of the class $(Σ)$. More precisely, we derive a series of new characterization results. In addition, we construct solutions for skew Brownian motion equations using continuous stochastic processes of the class $(Σ)$.

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Fulgence Eyi Obiang, Octave Moutsinga, Youssef Ouknine. 2020-08-26. An ideal class to construct solutions for skew Brownian motion equations. https://arxiv.org/abs/2005.04030

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