Random Walks in Attractive Potentials: The Case of Critical Drifts

Actes des rencontres du CIRM, Volume 2 (2010) no. 1, p. 11-13

@article{ACIRM_2010__2_1_11_0, author = {Dmitry Ioffe and Yvan Velenik}, title = {Random Walks in Attractive Potentials: The Case of Critical Drifts}, journal = {Actes des rencontres du CIRM}, publisher = {CIRM}, volume = {2}, number = {1}, year = {2010}, pages = {11-13}, doi = {10.5802/acirm.17}, language = {en}, url = {https://acirm.centre-mersenne.org/item/ACIRM_2010__2_1_11_0} }

Ioffe, Dmitry; Velenik, Yvan. Random Walks in Attractive Potentials: The Case of Critical Drifts. Actes des rencontres du CIRM, Volume 2 (2010) no. 1, pp. 11-13. doi : 10.5802/acirm.17. https://acirm.centre-mersenne.org/item/ACIRM_2010__2_1_11_0/

[1] Dmitry Ioffe and Yvan Velenik. Ballistic phase of self-interacting random walks. In Analysis and stochastics of growth processes and interface models, pages 55–79. Oxford Univ. Press, Oxford, 2008.

[2] Martin P. W. Zerner. Directional decay of the Green’s function for a random nonnegative potential on ${\mathbf{Z}}^{d}$. Ann. Appl. Probab., 8(1):246–280, 1998.