Marêché, Laure; Mountford, Thomas Limit theorems for the trajectory of the self-repelling random walk with directed edges. (English) Zbl 1546.60064 Electron. J. Probab. 29, Paper No. 98, 60 p. (2024). MSC: 60F17 60G50 82C41 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Marêché, Laure Fluctuations of the local times of the self-repelling random walk with directed edges. (English) Zbl 1540.60081 Adv. Appl. Probab. 56, No. 2, 545-586 (2024). MSC: 60G50 60K35 60F05 82C41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Hattori, Kumiko; Ogo, Noriaki; Otsuka, Takafumi A family of self-avoiding random walks interpolating the loop-erased random walk and a self-avoiding walk on the Sierpiński gasket. (English) Zbl 1356.60071 Discrete Contin. Dyn. Syst., Ser. S 10, No. 2, 289-311 (2017). MSC: 60G50 60K35 60G17 28A80 37F25 37F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jun Two particles’ repelling random walks on the complete graph. (English) Zbl 1307.60048 Electron. J. Probab. 19, Paper No. 113, 17 p. (2014). MSC: 60G50 60K35 05C81 37C10 × Cite Format Result Cite Review PDF Full Text: DOI
Mountford, Thomas; Pimentel, Leandro P. R.; Valle, Glauco Central limit theorem for the self-repelling random walk with directed edges. (English) Zbl 1301.60059 ALEA, Lat. Am. J. Probab. Math. Stat. 11, No. 2, 503-517 (2014). MSC: 60G50 60F05 82B41 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Cioletti, L. M.; Dorea, C. C. Y.; da Silva, S. Vasconcelos Diffusive-ballistic transition in random polymers with drift and repulsive long-range interactions. (English) Zbl 1302.82133 J. Stat. Phys. 156, No. 4, 760-765 (2014). MSC: 82D60 82B20 82B41 82B26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dumaz, Laure; Tóth, Bálint Marginal densities of the “true” self-repelling motion. (English) Zbl 1268.60118 Stochastic Processes Appl. 123, No. 4, 1454-1471 (2013). Reviewer: Piotr Garbaczewski (Opole) MSC: 60K35 82C41 60G50 60G40 33C10 47D08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tóth, Bálint; Vető, Bálint Continuous time ‘true’ self-avoiding random walk on \(\mathbb Z\). (English) Zbl 1276.60056 ALEA, Lat. Am. J. Probab. Math. Stat. 8, 59-75 (2011). MSC: 60G50 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Veto, Balint; Tóth, Bálint Self-repelling random walk with directed edges on Z. (English) Zbl 1190.60036 Electron. J. Probab. 13, 1909-1926 (2008). MSC: 60G50 82B41 82C41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Procacci, Aldo; Sanchis, Rémy; Scoppola, Benedetto Diffusive-ballistic transition in random walks with long-range self-repulsion. (English) Zbl 1159.82308 Lett. Math. Phys. 83, No. 2, 181-187 (2008). MSC: 82B41 82B20 82B26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Denker, Manfred; Hattori, Kumiko Recurrence of self-repelling and self-attracting walks on the pre-Sierpiński gasket and \(\mathbb Z\). (English) Zbl 1149.60025 Stoch. Dyn. 8, No. 1, 155-172 (2008). Reviewer: Gheorghe Oprişan (Bucureşti) MSC: 60G50 60G18 37A40 × Cite Format Result Cite Review PDF Full Text: DOI
Hambly, B. M.; Hattori, Kumiko; Hattori, Tetsuya Self-repelling walk on the Sierpiński gasket. (English) Zbl 1017.60101 Probab. Theory Relat. Fields 124, No. 1, 1-25 (2002). Reviewer: Alexander V.Bulinskij (Moskva) MSC: 60K35 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Tóth, Bálint Self-interacting random motions – a survey. (English) Zbl 0953.60027 Révész, Pál (ed.) et al., Random walks. International workshop, Budapest, Hungary, July 13-24, 1998. Budapest: János Bolyai Mathematical Society. Bolyai Soc. Math. Stud. 9, 349-384 (1999). MSC: 60G50 60F17 × Cite Format Result Cite Review PDF
Tóth, Bálint; Werner, Wendelin The true self-repelling motion. (English) Zbl 0912.60056 Probab. Theory Relat. Fields 111, No. 3, 375-452 (1998). Reviewer: Piotr Garbaczewski (Zielona Gora) MSC: 60G18 60K35 82C22 82B41 × Cite Format Result Cite Review PDF Full Text: DOI
Tóth, Bálint The “true” self-avoiding walk with bond repulsion on \(\mathbb{Z}\): Limit theorems. (English) Zbl 0852.60083 Ann. Probab. 23, No. 4, 1523-1556 (1995). MSC: 60G50 60F05 60J55 82C41 × Cite Format Result Cite Review PDF Full Text: DOI