Dembo, Amir; Okada, Izumi Capacity of the range of random walk: the law of the iterated logarithm. (English) Zbl 07926189 Ann. Probab. 52, No. 5, 1954-1991 (2024). MSC: 60F15 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Halberstam, Noah; Hutchcroft, Tom Most transient random walks have infinitely many cut times. (English) Zbl 1531.05224 Ann. Probab. 51, No. 5, 1932-1962 (2023). MSC: 05C81 60G09 60J10 60J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Tianyi; Hu, Yueyun Convergence in law for the capacity of the range of a critical branching random walk. (English) Zbl 1530.60079 Ann. Appl. Probab. 33, No. 6A, 4964-4994 (2023). MSC: 60J80 60J68 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Croydon, D. A.; Shiraishi, D. Scaling limit for random walk on the range of random walk in four dimensions. (English. French summary) Zbl 1515.60333 Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 1, 166-184 (2023). MSC: 60K37 05C81 60K35 82B41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xinyi; Shiraishi, Daisuke The Hölder continuity of the scaling limit of three-dimensional loop-erased random walk. (English) Zbl 1504.82019 Electron. J. Probab. 27, Paper No. 144, 37 p. (2022). MSC: 82B41 82B20 60G18 60J65 60J67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lo, Chak Hei; Menshikov, Mikhail V.; Wade, Andrew R. Cutpoints of non-homogeneous random walks. (English) Zbl 1497.60095 ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 493-510 (2022). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 60J05 60J10 60G50 × Cite Format Result Cite Review PDF Full Text: arXiv
Zhuang, Zijie On the percolative properties of the intersectionof two independent interlacements. (English) Zbl 1469.60143 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1061-1084 (2021). MSC: 60G50 60K35 82B43 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Lawler, Gregory F. The infinite two-sided loop-erased random walk. (English) Zbl 1459.60204 Electron. J. Probab. 25, Paper No. 87, 42 p. (2020). MSC: 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Benjamini, Itai; Hermon, Jonathan Recurrence of Markov chain traces. (English. French summary) Zbl 1434.60172 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 734-759 (2020). MSC: 60J05 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Li, Xinyi; Shiraishi, Daisuke One-point function estimates for loop-erased random walk in three dimensions. (English) Zbl 1431.82025 Electron. J. Probab. 24, Paper No. 111, 34 p. (2019). MSC: 82C41 82B41 82B20 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Shiraishi, Daisuke Hausdorff dimension of the scaling limit of loop-erased random walk in three dimensions. (English. French summary) Zbl 1447.82016 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 791-834 (2019). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82B41 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Shiraishi, Daisuke Growth exponent for loop-erased random walk in three dimensions. (English) Zbl 1387.60067 Ann. Probab. 46, No. 2, 687-774 (2018). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60G17 60K35 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Shiraishi, Daisuke A random walk on a non-intersecting two-sided random walk trace is subdiffusive in low dimensions. (English) Zbl 1388.82014 Trans. Am. Math. Soc. 370, No. 7, 4525-4558 (2018). MSC: 82B41 82D30 05C81 × Cite Format Result Cite Review PDF Full Text: DOI Link
Benjamini, Itai; Gurel-Gurevich, Ori; Schramm, Oded Cutpoints and resistance of random walk paths. (English) Zbl 1223.60012 Ann. Probab. 39, No. 3, 1122-1136 (2011). Reviewer: Ove Frank (Stockholm) MSC: 60D05 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shiraishi, Daisuke Heat kernel for random walk trace on \(\mathbb Z^{3}\) and \(\mathbb Z^{4}\). (English) Zbl 1208.82048 Ann. Inst. Henri Poincaré, Probab. Stat. 46, No. 4, 1001-1024 (2010). MSC: 82C41 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Croydon, David A. Random walk on the range of random walk. (English) Zbl 1184.60011 J. Stat. Phys. 136, No. 2, 349-372 (2009). Reviewer: Piotr Garbaczewski (Opole) MSC: 60G50 82B43 60K35 05C80 82B41 60G17 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kozma, Gady The scaling limit of loop-erased random walk in three dimensions. (English) Zbl 1144.60060 Acta Math. 199, No. 1, 29-152 (2007). Reviewer: Ion C. Vladimirescu (Craiova) MSC: 60K40 60K35 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benjamini, Itai; Gurel-Gurevich, Ori; Lyons, Russell Recurrence of random walk traces. (English) Zbl 1118.60059 Ann. Probab. 35, No. 2, 732-738 (2007). MSC: 60J05 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin Values of Brownian intersection exponents. II: Plane exponents. (English) Zbl 0993.60083 Acta Math. 187, No. 2, 275-308 (2001). Reviewer: Peter Mörters (Bath) MSC: 60J65 30C35 82B41 60G17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lawler, Gregory F. A lower bound on the growth exponent for loop-erased random walk in two dimensions. (English) Zbl 0926.60041 ESAIM, Probab. Stat. 3, 1-21 (1999). Reviewer: H.Wegmann (Darmstadt) MSC: 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML