Semiconservative random walks in weak sense

Vyacheslav M. Abramov

Semiconservative random walks in weak sense

Probability 2018-03-08 v3

Authors: Vyacheslav M. Abramov

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 $\mathbb{R}^d$ .

Keywords

random walk in random environment

Cite

@article{arxiv.1801.02748,
  title  = {Semiconservative random walks in weak sense},
  author = {Vyacheslav M. Abramov},
  journal= {arXiv preprint arXiv:1801.02748},
  year   = {2018}
}

Comments

21 pages of 12pt text (less then before). The paper is revised (to be more exact it is fully rewritten). In introduction we add motivation part. We give details for reasoning of the method used. We give more detailed proofs and correct various errors of the previous version. As well, the paper is restructured, and we think that the presentation is much better. Some new references are added

Semiconservative random walks in weak sense

Abstract

Keywords

Cite

Comments

Related papers