Berestycki, Nathanaël; Cerf, Raphaël The random walk penalised by its range in dimensions \(d\geqslant 3\). (La marche aléatoire pénalisée par son image en dimension \(d\geqslant 3\).) (English. French summary) Zbl 1485.60028 Ann. Henri Lebesgue 4, 1-79 (2021). Reviewer: Andriy Olenko (Melbourne) MSC: 60F10 60G50 82B41 PDF BibTeX XML Cite \textit{N. Berestycki} and \textit{R. Cerf}, Ann. Henri Lebesgue 4, 1--79 (2021; Zbl 1485.60028) Full Text: DOI arXiv OpenURL
Asselah, Amine; Schapira, Bruno The two regimes of moderate deviations for the range of a transient walk. (English) Zbl 1478.60084 Probab. Theory Relat. Fields 180, No. 1-2, 439-465 (2021). MSC: 60F05 60G50 PDF BibTeX XML Cite \textit{A. Asselah} and \textit{B. Schapira}, Probab. Theory Relat. Fields 180, No. 1--2, 439--465 (2021; Zbl 1478.60084) Full Text: DOI arXiv OpenURL
Ding, Jian; Fukushima, Ryoki; Sun, Rongfeng; Xu, Changji Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles. (English) Zbl 1483.60150 Ann. Probab. 49, No. 1, 206-243 (2021). Reviewer: Julien Poisat (Paris) MSC: 60K37 60K35 PDF BibTeX XML Cite \textit{J. Ding} et al., Ann. Probab. 49, No. 1, 206--243 (2021; Zbl 1483.60150) Full Text: DOI arXiv Euclid OpenURL
Ding, Jian; Fukushima, Ryoki; Sun, Rongfeng; Xu, Changji Biased random walk conditioned on survival among Bernoulli obstacles: subcritical phase. (English) Zbl 1441.60091 Commun. Math. Phys. 376, No. 3, 2161-2195 (2020). MSC: 60K37 60K35 82D60 60F10 PDF BibTeX XML Cite \textit{J. Ding} et al., Commun. Math. Phys. 376, No. 3, 2161--2195 (2020; Zbl 1441.60091) Full Text: DOI arXiv OpenURL
Ding, Jian; Fukushima, Ryoki; Sun, Rongfeng; Xu, Changji Geometry of the random walk range conditioned on survival among Bernoulli obstacles. (English) Zbl 1434.60307 Probab. Theory Relat. Fields 177, No. 1-2, 91-145 (2020). MSC: 60K37 60K35 PDF BibTeX XML Cite \textit{J. Ding} et al., Probab. Theory Relat. Fields 177, No. 1--2, 91--145 (2020; Zbl 1434.60307) Full Text: DOI arXiv OpenURL
Ding, Jian; Xu, Changji Localization for random walks among random obstacles in a single Euclidean ball. (English) Zbl 1440.60083 Commun. Math. Phys. 375, No. 2, 949-1001 (2020). MSC: 60K35 60H25 82B43 PDF BibTeX XML Cite \textit{J. Ding} and \textit{C. Xu}, Commun. Math. Phys. 375, No. 2, 949--1001 (2020; Zbl 1440.60083) Full Text: DOI arXiv OpenURL
Athreya, Siva; Drewitz, Alexander; Sun, Rongfeng Random walk among mobile/immobile traps: a short review. (English) Zbl 1446.82025 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. III. Interacting particle systems and random walks, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 300, 1-22 (2019). MSC: 82B41 82C41 60J25 60J60 60J76 60F10 82C44 82C22 PDF BibTeX XML Cite \textit{S. Athreya} et al., Springer Proc. Math. Stat. 300, 1--22 (2019; Zbl 1446.82025) Full Text: DOI arXiv OpenURL
Ding, Jian; Xu, Changji Poly-logarithmic localization for random walks among random obstacles. (English) Zbl 1467.60086 Ann. Probab. 47, No. 4, 2011-2048 (2019). MSC: 60K37 60H25 60G70 PDF BibTeX XML Cite \textit{J. Ding} and \textit{C. Xu}, Ann. Probab. 47, No. 4, 2011--2048 (2019; Zbl 1467.60086) Full Text: DOI arXiv Euclid OpenURL
Berestycki, Nathanaël; Yadin, Ariel Condensation of a self-attracting random walk. (English. French summary) Zbl 1466.60197 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 835-861 (2019). MSC: 60K35 60J27 60F10 PDF BibTeX XML Cite \textit{N. Berestycki} and \textit{A. Yadin}, Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 2, 835--861 (2019; Zbl 1466.60197) Full Text: DOI Euclid OpenURL
Biskup, Marek; Procaccia, Eviatar B. Eigenvalue versus perimeter in a shape theorem for self-interacting random walks. (English) Zbl 1393.82007 Ann. Appl. Probab. 28, No. 1, 340-377 (2018). Reviewer: E. Ahmed (Mansoura) MSC: 82B41 60D05 49Q10 82D60 60K37 82B43 PDF BibTeX XML Cite \textit{M. Biskup} and \textit{E. B. Procaccia}, Ann. Appl. Probab. 28, No. 1, 340--377 (2018; Zbl 1393.82007) Full Text: DOI arXiv OpenURL
Fukushima, Ryoki Annealed Brownian motion in a heavy tailed Poissonian potential. (English) Zbl 1279.60127 Ann. Probab. 41, No. 5, 3462-3493 (2013). MSC: 60K37 82B44 PDF BibTeX XML Cite \textit{R. Fukushima}, Ann. Probab. 41, No. 5, 3462--3493 (2013; Zbl 1279.60127) Full Text: DOI arXiv Euclid OpenURL
Ioffe, Dmitry; Velenik, Yvan The statistical mechanics of stretched polymers. (English) Zbl 1195.82107 Braz. J. Probab. Stat. 24, No. 2, 279-299 (2010). MSC: 82D60 82B44 82B26 PDF BibTeX XML Cite \textit{D. Ioffe} and \textit{Y. Velenik}, Braz. J. Probab. Stat. 24, No. 2, 279--299 (2010; Zbl 1195.82107) Full Text: DOI arXiv OpenURL
Grüninger, Gabriela; König, Wolfgang Potential confinement property of the parabolic Anderson model. (English) Zbl 1185.60073 Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 3, 840-863 (2009). Reviewer: Alexandra Rodkina (Kingston/Jamaica) MSC: 60H25 82C44 60F10 PDF BibTeX XML Cite \textit{G. Grüninger} and \textit{W. König}, Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 3, 840--863 (2009; Zbl 1185.60073) Full Text: DOI arXiv EuDML OpenURL
Albeverio, Sergio; Bogachev, Leonid V. Brownian survival in a clusterized trapping medium. (English) Zbl 1008.60509 Rev. Math. Phys. 10, No. 2, 147-189 (1998). MSC: 60J65 60F05 60K35 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{L. V. Bogachev}, Rev. Math. Phys. 10, No. 2, 147--189 (1998; Zbl 1008.60509) Full Text: DOI OpenURL
Adler, Robert J.; Iyer, Srikanth K. Attractive polymer models for two- and three-dimensional Brownian motion. (English) Zbl 0890.60076 Stochastic Processes Appl. 66, No. 2, 271-281 (1997). Reviewer: Jan Seidler (Praha) MSC: 60J65 60J55 PDF BibTeX XML Cite \textit{R. J. Adler} and \textit{S. K. Iyer}, Stochastic Processes Appl. 66, No. 2, 271--281 (1997; Zbl 0890.60076) Full Text: DOI OpenURL
Povel, Tobias Critical large deviations of one-dimensional annealed Brownian motion in a Poissonian potential. (English) Zbl 0911.60014 Ann. Probab. 25, No. 4, 1735-1773 (1997). Reviewer: J.R.León (Caracas) MSC: 60F10 82D30 PDF BibTeX XML Cite \textit{T. Povel}, Ann. Probab. 25, No. 4, 1735--1773 (1997; Zbl 0911.60014) Full Text: DOI OpenURL
Bolthausen, Erwin; Schmock, Uwe On self-attracting \(d\)-dimensional random walks. (English) Zbl 0873.60008 Ann. Probab. 25, No. 2, 531-572 (1997). Reviewer: M.Iosifescu (Bucureşti) MSC: 60F05 60F10 60K35 PDF BibTeX XML Cite \textit{E. Bolthausen} and \textit{U. Schmock}, Ann. Probab. 25, No. 2, 531--572 (1997; Zbl 0873.60008) Full Text: DOI OpenURL
Albeverio, Sergio; Zhou, Xian Yin Free energy and some sample path properties of a random walk with random potential. (English) Zbl 1081.82559 J. Stat. Phys. 83, No. 3-4, 573-622 (1996). MSC: 82B41 60K35 82B44 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{X. Y. Zhou}, J. Stat. Phys. 83, No. 3--4, 573--622 (1996; Zbl 1081.82559) Full Text: DOI OpenURL
Brydges, D. C.; Slade, G. The diffusive phase of a model of self-interacting walks. (English) Zbl 0832.60096 Probab. Theory Relat. Fields 103, No. 3, 285-315 (1995). MSC: 60K35 82B41 PDF BibTeX XML Cite \textit{D. C. Brydges} and \textit{G. Slade}, Probab. Theory Relat. Fields 103, No. 3, 285--315 (1995; Zbl 0832.60096) Full Text: DOI OpenURL
Sznitman, Alain-Sol On the confinement property of two-dimensional Brownian motion among Poissonian obstacles. (English) Zbl 0753.60075 Commun. Pure Appl. Math. 44, No. 8-9, 1137-1170 (1991). Reviewer: P.Salminen (Åbo) MSC: 60J65 60H25 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Commun. Pure Appl. Math. 44, No. 8--9, 1137--1170 (1991; Zbl 0753.60075) Full Text: DOI OpenURL