Semiconservative random walks in weak sense

Abstract

Conservative and semiconservative random walks in $\mathbb{Z}^d$ were introduced and studied in [V.M. Abramov, J. Theor. Probab. (2017). https://doi.org/10.1007/s10959-017-0747-3]. In the present paper, we extend these concepts for random walks in $\mathbb{R}^d$ introducing semiconservative random walks in weak sense and construct such a family of random walks in $\mathbb{R}^d$.