Semiconservative random walks in weak sense

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 ${\mathbb{R}}^d$.