Li, Xinyi Percolative properties of Brownian interlacements and its vacant set. (English) Zbl 1469.60256 J. Theor. Probab. 33, No. 4, 1855-1893 (2020). MSC: 60J65 60K35 82B43 PDF BibTeX XML Cite \textit{X. Li}, J. Theor. Probab. 33, No. 4, 1855--1893 (2020; Zbl 1469.60256) Full Text: DOI arXiv OpenURL
Okamura, Kazuki Long time behavior of the volume of the Wiener sausage on Dirichlet spaces. (English) Zbl 1471.60125 Potential Anal. 52, No. 3, 427-468 (2020). MSC: 60J60 31C25 PDF BibTeX XML Cite \textit{K. Okamura}, Potential Anal. 52, No. 3, 427--468 (2020; Zbl 1471.60125) Full Text: DOI arXiv OpenURL
Asselah, Amine; Schapira, Bruno; Sousi, Perla Strong law of large numbers for the capacity of the Wiener sausage in dimension four. (English) Zbl 1411.60036 Probab. Theory Relat. Fields 173, No. 3-4, 813-858 (2019). MSC: 60F05 60G50 PDF BibTeX XML Cite \textit{A. Asselah} et al., Probab. Theory Relat. Fields 173, No. 3--4, 813--858 (2019; Zbl 1411.60036) Full Text: DOI arXiv OpenURL
Uchiyama, Kôhei The Brownian hitting distributions in space-time of bounded sets and the expected volume of the Wiener sausage for a Brownian bridge. (English) Zbl 1391.60204 Proc. Lond. Math. Soc. (3) 116, No. 3, 575-628 (2018). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J65 60J45 35K20 PDF BibTeX XML Cite \textit{K. Uchiyama}, Proc. Lond. Math. Soc. (3) 116, No. 3, 575--628 (2018; Zbl 1391.60204) Full Text: DOI arXiv OpenURL
Wang, Yanqing; Liu, Zechen Moderate deviations for planar Wiener sausage. (Chinese. English summary) Zbl 1399.60039 J. Chongqing Norm. Univ., Nat. Sci. 34, No. 5, 60-64 (2017). MSC: 60F10 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{Z. Liu}, J. Chongqing Norm. Univ., Nat. Sci. 34, No. 5, 60--64 (2017; Zbl 1399.60039) OpenURL
Dareiotis, Konstantinos Symmetrization of exterior parabolic problems and probabilistic interpretation. (English) Zbl 1366.35058 Stoch. Partial Differ. Equ., Anal. Comput. 5, No. 1, 38-52 (2017). MSC: 35K20 35B51 PDF BibTeX XML Cite \textit{K. Dareiotis}, Stoch. Partial Differ. Equ., Anal. Comput. 5, No. 1, 38--52 (2017; Zbl 1366.35058) Full Text: DOI arXiv OpenURL
Hamana, Yuji; Matsumoto, Hiroyuki A formula for the expected volume of the Wiener sausage with constant drift. (English) Zbl 1359.60102 Forum Math. 29, No. 2, 369-381 (2017). MSC: 60J65 44A10 PDF BibTeX XML Cite \textit{Y. Hamana} and \textit{H. Matsumoto}, Forum Math. 29, No. 2, 369--381 (2017; Zbl 1359.60102) Full Text: DOI arXiv OpenURL
Wang, Yanqing A moderate deviation estimate for planar Wiener sausage. (Chinese. English summary) Zbl 1363.60114 Math. Appl. 29, No. 3, 614-618 (2016). MSC: 60J65 60F10 PDF BibTeX XML Cite \textit{Y. Wang}, Math. Appl. 29, No. 3, 614--618 (2016; Zbl 1363.60114) OpenURL
Hamana, Yuji; Matsumoto, Hiroyuki Hitting times of Bessel processes, volume of the Wiener sausages and zeros of Macdonald functions. (English) Zbl 1359.33005 J. Math. Soc. Japan 68, No. 4, 1615-1653 (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C10 41A60 60E07 60G99 PDF BibTeX XML Cite \textit{Y. Hamana} and \textit{H. Matsumoto}, J. Math. Soc. Japan 68, No. 4, 1615--1653 (2016; Zbl 1359.33005) Full Text: DOI arXiv OpenURL
Berezhkovskii, Alexander M.; Bezrukov, Sergey M. Intermittent free diffusion in the presence of sparse obstacles: mean obstacle encounter time. (English) Zbl 1353.82025 J. Phys. A, Math. Theor. 49, No. 43, Article ID 434002, 10 p. (2016). MSC: 82B24 60J60 60J70 PDF BibTeX XML Cite \textit{A. M. Berezhkovskii} and \textit{S. M. Bezrukov}, J. Phys. A, Math. Theor. 49, No. 43, Article ID 434002, 10 p. (2016; Zbl 1353.82025) Full Text: DOI Link OpenURL
Wang, Yanqing Laws of the iterated logarithm for intersections of Wiener sausages in critical dimensions. (English) Zbl 1346.60035 Int. J. Wavelets Multiresolut. Inf. Process. 14, No. 5, Article ID 1650042, 31 p. (2016). MSC: 60F15 60J65 PDF BibTeX XML Cite \textit{Y. Wang}, Int. J. Wavelets Multiresolut. Inf. Process. 14, No. 5, Article ID 1650042, 31 p. (2016; Zbl 1346.60035) Full Text: DOI OpenURL
Erhard, Dirk; Poisat, Julien Asymptotics of the critical time in Wiener sausage percolation with a small radius. (English) Zbl 1346.60138 ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 1, 417-445 (2016). MSC: 60K35 60F99 60F10 60J65 60G55 60J45 31C15 PDF BibTeX XML Cite \textit{D. Erhard} and \textit{J. Poisat}, ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 1, 417--445 (2016; Zbl 1346.60138) Full Text: arXiv Link OpenURL
Nekovar, S.; Pruessner, G. A field-theoretic approach to the Wiener sausage. (English) Zbl 1347.82013 J. Stat. Phys. 163, No. 3, 604-641 (2016). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B41 60J65 60G50 PDF BibTeX XML Cite \textit{S. Nekovar} and \textit{G. Pruessner}, J. Stat. Phys. 163, No. 3, 604--641 (2016; Zbl 1347.82013) Full Text: DOI arXiv OpenURL
Hamana, Yuji Asymptotic expansion of the expected volume of the Wiener sausage in even dimensions. (English) Zbl 1339.60118 Kyushu J. Math. 70, No. 1, 167-196 (2016). MSC: 60J65 60F99 41A60 33C10 PDF BibTeX XML Cite \textit{Y. Hamana}, Kyushu J. Math. 70, No. 1, 167--196 (2016; Zbl 1339.60118) Full Text: DOI arXiv OpenURL
Huang, Chien-Hao On the speed of the one-dimensional polymer in the large range regime. (English) Zbl 1337.60243 Stat. Probab. Lett. 110, 8-17 (2016). MSC: 60K35 60G50 60F05 60F10 82D60 PDF BibTeX XML Cite \textit{C.-H. Huang}, Stat. Probab. Lett. 110, 8--17 (2016; Zbl 1337.60243) Full Text: DOI arXiv OpenURL
Gibson, Lee R.; Pivarski, Melanie The rate of decay of the Wiener sausage in local Dirichlet space. (English) Zbl 1337.60189 J. Theor. Probab. 28, No. 4, 1253-1270 (2015). MSC: 60J60 60G17 60F10 PDF BibTeX XML Cite \textit{L. R. Gibson} and \textit{M. Pivarski}, J. Theor. Probab. 28, No. 4, 1253--1270 (2015; Zbl 1337.60189) Full Text: DOI arXiv OpenURL
Honzl, Ondřej On an upper bound of the Euler characteristic of the Wiener sausage. (English) Zbl 1352.60014 Methodol. Comput. Appl. Probab. 16, No. 2, 331-353 (2014). Reviewer: Andrew Wade (Durham) MSC: 60D05 60J65 PDF BibTeX XML Cite \textit{O. Honzl}, Methodol. Comput. Appl. Probab. 16, No. 2, 331--353 (2014; Zbl 1352.60014) Full Text: DOI OpenURL
van den Berg, M.; Bolthausen, E.; den Hollander, F. Heat content and inradius for regions with a Brownian boundary. (English) Zbl 1296.35044 Potential Anal. 41, No. 2, 501-515 (2014). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J20 60G50 PDF BibTeX XML Cite \textit{M. van den Berg} et al., Potential Anal. 41, No. 2, 501--515 (2014; Zbl 1296.35044) Full Text: DOI arXiv OpenURL
Wang, Yanqing Moderate deviations for the mutual intersection time of Wiener sausages in subcritical dimensions. (Chinese. English summary) Zbl 07449179 Sci. Sin., Math. 43, No. 7, 663-674 (2013). MSC: 60F15 60F10 60J65 PDF BibTeX XML Cite \textit{Y. Wang}, Sci. Sin., Math. 43, No. 7, 663--674 (2013; Zbl 07449179) Full Text: DOI OpenURL
McGillivray, I. The spectral shift function for planar obstacle scattering at low energy. (English) Zbl 1312.60095 Math. Nachr. 286, No. 11-12, 1208-1239 (2013). MSC: 60J65 35B40 47A40 PDF BibTeX XML Cite \textit{I. McGillivray}, Math. Nachr. 286, No. 11--12, 1208--1239 (2013; Zbl 1312.60095) Full Text: DOI arXiv Link OpenURL
Peres, Yuval; Sinclair, Alistair; Sousi, Perla; Stauffer, Alexandre Mobile geometric graphs: detection, coverage and percolation. (English) Zbl 1273.82060 Probab. Theory Relat. Fields 156, No. 1-2, 273-305 (2013). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 82C43 60G55 60D05 60J65 60K35 82C21 PDF BibTeX XML Cite \textit{Y. Peres} et al., Probab. Theory Relat. Fields 156, No. 1--2, 273--305 (2013; Zbl 1273.82060) Full Text: DOI arXiv Link OpenURL
Uchiyama, Kôhei The expected area of the Wiener sausage swept by a disc. (English) Zbl 1253.60088 Stochastic Processes Appl. 123, No. 1, 191-211 (2013). MSC: 60J65 60J45 PDF BibTeX XML Cite \textit{K. Uchiyama}, Stochastic Processes Appl. 123, No. 1, 191--211 (2013; Zbl 1253.60088) Full Text: DOI arXiv OpenURL
Hamana, Yuji The expected volume and surface area of the Wiener sausage in odd dimensions. (English) Zbl 1266.60143 Osaka J. Math. 49, No. 4, 853-868 (2012). MSC: 60J65 41A58 41A60 PDF BibTeX XML Cite \textit{Y. Hamana}, Osaka J. Math. 49, No. 4, 853--868 (2012; Zbl 1266.60143) Full Text: Euclid OpenURL
Honzl, Ondřej; Rataj, Jan Almost sure asymptotic behaviour of the \(r\)-neighbourhood surface area of Brownian paths. (English) Zbl 1249.28003 Czech. Math. J. 62, No. 1, 67-75 (2012). MSC: 28A75 52A20 60D05 PDF BibTeX XML Cite \textit{O. Honzl} and \textit{J. Rataj}, Czech. Math. J. 62, No. 1, 67--75 (2012; Zbl 1249.28003) Full Text: DOI EuDML OpenURL
Wang, Yanqing Strong approximation of high dimensional Wiener sausage. (Chinese. English summary) Zbl 07449011 Sci. Sin., Math. 41, No. 9, 789-796 (2011). MSC: 60F15 60F05 PDF BibTeX XML Cite \textit{Y. Wang}, Sci. Sin., Math. 41, No. 9, 789--796 (2011; Zbl 07449011) Full Text: DOI OpenURL
Wang, Yan Qing; Gao, Fu Qing Laws of the iterated logarithm for high-dimensional Wiener sausage. (English) Zbl 1312.60027 Acta Math. Sin., Engl. Ser. 27, No. 8, 1599-1610 (2011). MSC: 60F15 PDF BibTeX XML Cite \textit{Y. Q. Wang} and \textit{F. Q. Gao}, Acta Math. Sin., Engl. Ser. 27, No. 8, 1599--1610 (2011; Zbl 1312.60027) Full Text: DOI OpenURL
Wang, Yanqing Moderate deviations for the volume of the three-dimensional Wiener sausage. (Chinese. English summary) Zbl 1240.60088 Acta Math. Sin., Chin. Ser. 54, No. 3, 495-502 (2011). MSC: 60F15 60F10 60J65 PDF BibTeX XML Cite \textit{Y. Wang}, Acta Math. Sin., Chin. Ser. 54, No. 3, 495--502 (2011; Zbl 1240.60088) OpenURL
Haynes, P. H.; Hoang, V. H.; Norris, J. R.; Zygalakis, K. C. Homogenization for advection-diffusion in a perforated domain. (English) Zbl 1222.60059 Bingham, N. H. (ed.) et al., Probability and mathematical genetics. Papers in honour of Sir John Kingman. Cambridge: Cambridge University Press (ISBN 978-0-521-14577-0/pbk). London Mathematical Society Lecture Note Series 378, 397-415 (2010). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60J60 35B27 65C05 PDF BibTeX XML Cite \textit{P. H. Haynes} et al., Lond. Math. Soc. Lect. Note Ser. 378, 397--415 (2010; Zbl 1222.60059) Full Text: arXiv OpenURL
Hamana, Yuji On the expected volume of the Wiener sausage. (English) Zbl 1223.60066 J. Math. Soc. Japan 62, No. 4, 1113-1136 (2010). Reviewer: Ion C. Vladimirescu (Craiova) MSC: 60J65 60D05 30B10 PDF BibTeX XML Cite \textit{Y. Hamana}, J. Math. Soc. Japan 62, No. 4, 1113--1136 (2010; Zbl 1223.60066) Full Text: DOI OpenURL
van den Berg, M. On the volume of intersection of three independent Wiener sausages. (English) Zbl 1201.35108 Ann. Inst. Henri Poincaré, Probab. Stat. 46, No. 2, 313-337 (2010). Reviewer: Dian K. Palagachev (Bari) MSC: 35K20 60J65 60J45 PDF BibTeX XML Cite \textit{M. van den Berg}, Ann. Inst. Henri Poincaré, Probab. Stat. 46, No. 2, 313--337 (2010; Zbl 1201.35108) Full Text: DOI EuDML OpenURL
Rataj, Jan; Spodarev, Evgeny; Meschenmoser, Daniel Approximations of the Wiener sausage and its curvature measures. (English) Zbl 1205.60146 Ann. Appl. Probab. 19, No. 5, 1840-1859 (2009). Reviewer: Ion C. Vladimirescu (Craiova) MSC: 60J65 60D05 PDF BibTeX XML Cite \textit{J. Rataj} et al., Ann. Appl. Probab. 19, No. 5, 1840--1859 (2009; Zbl 1205.60146) Full Text: DOI arXiv OpenURL
Gao, Fuqing; Wang, Yanqing Moderate deviations and laws of the iterated logarithm for the volume of the intersections of Wiener sausages. (English) Zbl 1191.60033 Electron. J. Probab. 14, 1900-1935 (2009). MSC: 60F10 60J65 60F15 PDF BibTeX XML Cite \textit{F. Gao} and \textit{Y. Wang}, Electron. J. Probab. 14, 1900--1935 (2009; Zbl 1191.60033) Full Text: DOI EuDML EMIS OpenURL
Véber, Amandine Quenched convergence of a sequence of superprocesses in \(\mathbb R^d\) among Poissonian obstacles. (English) Zbl 1170.60334 Stochastic Processes Appl. 119, No. 8, 2598-2624 (2009). MSC: 60K37 60J80 60B10 60J65 PDF BibTeX XML Cite \textit{A. Véber}, Stochastic Processes Appl. 119, No. 8, 2598--2624 (2009; Zbl 1170.60334) Full Text: DOI arXiv OpenURL
Rataj, Jan; Schmidt, Volker; Spodarev, Evgeny On the expected surface area of the Wiener sausage. (English) Zbl 1166.60049 Math. Nachr. 282, No. 4, 591-603 (2009). Reviewer: Josef Steinebach (Köln) MSC: 60J65 60D05 PDF BibTeX XML Cite \textit{J. Rataj} et al., Math. Nachr. 282, No. 4, 591--603 (2009; Zbl 1166.60049) Full Text: DOI OpenURL
Mörters, Peter; Shieh, Narn-Rueih The exact packing measure of Brownian double points. (English) Zbl 1160.60025 Probab. Theory Relat. Fields 143, No. 1-2, 113-136 (2009). Reviewer: Victoria Knopova (Kiev) MSC: 60J65 60G17 60J55 28A78 PDF BibTeX XML Cite \textit{P. Mörters} and \textit{N.-R. Shieh}, Probab. Theory Relat. Fields 143, No. 1--2, 113--136 (2009; Zbl 1160.60025) Full Text: DOI Link OpenURL
Fukushima, Ryoki Asymptotics for the Wiener sausage among Poissonian obstacles. (English) Zbl 1161.60027 J. Stat. Phys. 133, No. 4, 639-657 (2008). MSC: 60J65 60F10 60K37 PDF BibTeX XML Cite \textit{R. Fukushima}, J. Stat. Phys. 133, No. 4, 639--657 (2008; Zbl 1161.60027) Full Text: DOI arXiv OpenURL
Fukushima, Ryoki Replica overlap and covering time for the Wiener sausages among Poissonian obstacles. (English) Zbl 1186.60081 J. Math. Kyoto Univ. 48, No. 2, 455-470 (2008). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60J65 60J75 60K37 60J60 PDF BibTeX XML Cite \textit{R. Fukushima}, J. Math. Kyoto Univ. 48, No. 2, 455--470 (2008; Zbl 1186.60081) Full Text: DOI arXiv OpenURL
Černý, Rostislav; Funken, Stefan; Spodarev, Evgueni On the Boolean model of Wiener sausages. (English) Zbl 1149.60049 Methodol. Comput. Appl. Probab. 10, No. 1, 23-37 (2008). Reviewer: Achim Klenke (Mainz) MSC: 60J65 60D05 65C05 65M60 PDF BibTeX XML Cite \textit{R. Černý} et al., Methodol. Comput. Appl. Probab. 10, No. 1, 23--37 (2008; Zbl 1149.60049) Full Text: DOI OpenURL
Wang, Yanqing Moderate deviations and law of the iterated logarithm for the length of one-dimensional Wiener sausage. (English) Zbl 1150.60334 J. Math., Wuhan Univ. 27, No. 5, 529-533 (2007). MSC: 60F10 60F15 PDF BibTeX XML Cite \textit{Y. Wang}, J. Math., Wuhan Univ. 27, No. 5, 529--533 (2007; Zbl 1150.60334) OpenURL
Berg, M.van den; Gilkey, P. Expected volume of intersection of pinned Wiener sausages and heat kernel norms on compact Riemannian manifolds with boundary. (English) Zbl 1130.58015 Potential Anal. 27, No. 4, 301-312 (2007). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 35P99 60J65 PDF BibTeX XML Cite \textit{M. van den Berg} and \textit{P. Gilkey}, Potential Anal. 27, No. 4, 301--312 (2007; Zbl 1130.58015) Full Text: DOI arXiv OpenURL
Csáki, E.; Hu, Y. Strong approximations of three-dimensional Wiener sausages. (English) Zbl 1127.60026 Acta Math. Hung. 114, No. 3, 205-226 (2007). Reviewer: Tadeusz Inglot (Wroclaw) MSC: 60F15 60J55 60J65 60F17 PDF BibTeX XML Cite \textit{E. Csáki} and \textit{Y. Hu}, Acta Math. Hung. 114, No. 3, 205--226 (2007; Zbl 1127.60026) Full Text: DOI arXiv OpenURL
Last, Günter On mean curvature functions of Brownian paths. (English) Zbl 1107.60049 Stochastic Processes Appl. 116, No. 12, 1876-1891 (2006). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60J65 28A75 60G15 60G57 PDF BibTeX XML Cite \textit{G. Last}, Stochastic Processes Appl. 116, No. 12, 1876--1891 (2006; Zbl 1107.60049) Full Text: DOI OpenURL
Ben Arous, Gérard; Molchanov, Stanislav; Ramírez, Alejandro Transition from the annealed to the quenched asymptotics for a random walk on random obstacles. (English) Zbl 1099.82003 Ann. Probab. 33, No. 6, 2149-2187 (2005). Reviewer: Farruh Mukhamedov (Aveiro) MSC: 82B41 82B44 60J45 60J65 82C22 PDF BibTeX XML Cite \textit{G. Ben Arous} et al., Ann. Probab. 33, No. 6, 2149--2187 (2005; Zbl 1099.82003) Full Text: DOI arXiv OpenURL
Klenke, Achim Thin points of Brownian motion intersection local times. (English) Zbl 1111.82050 Deuschel, Jean-Dominique (ed.) et al., Interacting stochastic systems. Berlin: Springer (ISBN 3-540-23033-5/hbk). 295-303 (2005). MSC: 82C41 PDF BibTeX XML Cite \textit{A. Klenke}, in: Interacting stochastic systems. Berlin: Springer. 295--303 (2005; Zbl 1111.82050) OpenURL
Bass, Richard F.; Rosen, Jay An almost sure invariance principle for the range of planar random walks. (English) Zbl 1085.60018 Ann. Probab. 33, No. 5, 1856-1885 (2005). Reviewer: Zdzisław Rychlik (Lublin) MSC: 60F15 60G50 PDF BibTeX XML Cite \textit{R. F. Bass} and \textit{J. Rosen}, Ann. Probab. 33, No. 5, 1856--1885 (2005; Zbl 1085.60018) Full Text: DOI arXiv OpenURL
Albeverio, Sergio; Bernabei, Maria Simonetta; Zhou, Xian Yin On the almost intersections of transient Brownian motions. (English) Zbl 1076.60069 Acta Appl. Math. 84, No. 1, 1-28 (2004). Reviewer: Yimin Xiao (East Lansing) MSC: 60J65 60G17 60G50 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Acta Appl. Math. 84, No. 1, 1--28 (2004; Zbl 1076.60069) Full Text: DOI OpenURL
Merkl, Franz; Wüthrich, Mario V. Annealed survival asymptotics for Brownian motion in a scaled Poissonian potential. (English) Zbl 1062.82022 Stochastic Processes Appl. 96, No. 2, 191-211 (2001). MSC: 82B44 60K35 PDF BibTeX XML Cite \textit{F. Merkl} and \textit{M. V. Wüthrich}, Stochastic Processes Appl. 96, No. 2, 191--211 (2001; Zbl 1062.82022) Full Text: DOI OpenURL
Hamana, Yuji; Kesten, Harry A large-deviation result for the range of random walk and for the Wiener sausage. (English) Zbl 1015.60092 Probab. Theory Relat. Fields 120, No. 2, 183-208 (2001). Reviewer: Martin Janžura (Praha) MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{Y. Hamana} and \textit{H. Kesten}, Probab. Theory Relat. Fields 120, No. 2, 183--208 (2001; Zbl 1015.60092) Full Text: DOI OpenURL
van den Berg, M.; Bolthausen, E.; den Hollander, F. Moderate deviations for the volume of the Wiener sausage. (English) Zbl 1004.60021 Ann. Math. (2) 153, No. 2, 355-406 (2001). Reviewer: Stefan Adams (Berlin) MSC: 60F10 60J45 60J65 60J50 PDF BibTeX XML Cite \textit{M. van den Berg} et al., Ann. Math. (2) 153, No. 2, 355--406 (2001; Zbl 1004.60021) Full Text: DOI arXiv Link OpenURL
Bogachev, L. V.; Molchanov, S. A.; Makhnovskii, Yu. A.; Berezhkovskii, A. M. Correlation effects in the trapping problem: General approach and rigorous results. (English) Zbl 0977.60076 Gesztesy, Fritz (ed.) et al., Stochastic processes, physics and geometry: New interplays. II. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18-22, 1999. Providence, RI: American Mathematical Society (AMS). CMS Conf. Proc. 29, 29-42 (2000). Reviewer: V.Schmidt (Ulm) MSC: 60J70 PDF BibTeX XML Cite \textit{L. V. Bogachev} et al., CMS Conf. Proc. 29, 29--42 (2000; Zbl 0977.60076) OpenURL
Komorowski, Tomasz Brownian motion in a Poisson obstacle field. (English) Zbl 0964.60091 Séminaire Bourbaki. Volume 1998/99. Exposés 850-864. Paris: Société Mathématique de France, Astérisque. 266, 91-111, Exp. No. 853 (2000). Reviewer: Anatoli Mogulskij (Novosibirsk) MSC: 60K40 82D30 PDF BibTeX XML Cite \textit{T. Komorowski}, in: Séminaire Bourbaki. Volume 1998/99. Exposés 850--864. Paris: Société Mathé\-ma\-ti\-que de France. 91--111, Exp. No. 853 (2000; Zbl 0964.60091) Full Text: Numdam EuDML OpenURL
Viêt Hà Hoàng Singularly perturbed Dirichlet problems in randomly perforated domains. (English) Zbl 0946.35025 Commun. Partial Differ. Equations 25, No. 1-2, 355-375 (2000). Reviewer: D.Huet (Nancy) MSC: 35J25 35B25 35R60 PDF BibTeX XML Cite \textit{Viêt Hà Hoàng}, Commun. Partial Differ. Equations 25, No. 1--2, 355--375 (2000; Zbl 0946.35025) Full Text: DOI OpenURL
McGillivray, I. Large time volume of the pinned Wiener sausage. (English) Zbl 0952.60045 J. Funct. Anal. 170, No. 1, 107-140 (2000). Reviewer: Valeriy Koval’ (Shytomyr) MSC: 60G15 PDF BibTeX XML Cite \textit{I. McGillivray}, J. Funct. Anal. 170, No. 1, 107--140 (2000; Zbl 0952.60045) Full Text: DOI 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
van den Berg, M.; Bolthausen, E. On the expected volume of the Wiener sausage for a Brownian bridge. (English) Zbl 0872.60059 Math. Z. 224, No. 1, 33-48 (1997). Reviewer: M.van den Berg (Bristol) MSC: 60J65 60G60 PDF BibTeX XML Cite \textit{M. van den Berg} and \textit{E. Bolthausen}, Math. Z. 224, No. 1, 33--48 (1997; Zbl 0872.60059) Full Text: DOI OpenURL
Pemantle, Robin The probability that Brownian motion almost contains a line. (English) Zbl 0880.60040 Ann. Inst. Henri Poincaré, Probab. Stat. 33, No. 2, 147-165 (1997). Reviewer: T.Inglot (Wrocław) MSC: 60G17 60J65 PDF BibTeX XML Cite \textit{R. Pemantle}, Ann. Inst. Henri Poincaré, Probab. Stat. 33, No. 2, 147--165 (1997; Zbl 0880.60040) Full Text: DOI arXiv Numdam EuDML OpenURL
den Hollander, Frank Probabilistic aspects of physics. (English) Zbl 0862.60094 Nieuw Arch. Wiskd., IV. Ser. 14, No. 1, 81-92 (1996). Reviewer: M.Mürmann (Heidelberg) MSC: 60K35 60F10 PDF BibTeX XML Cite \textit{F. den Hollander}, Nieuw Arch. Wiskd., IV. Ser. 14, No. 1, 81--92 (1996; Zbl 0862.60094) OpenURL
Werner, Wendelin Green’s formula, planar Brownian bridge, and Lévy’s area. (Formule de Green, lacet brownien plan et aire de Lévy.) (French) Zbl 0824.60085 Stochastic Processes Appl. 57, No. 2, 225-245 (1995). Reviewer: J.Bertoin (Paris) MSC: 60J65 26B20 60H05 PDF BibTeX XML Cite \textit{W. Werner}, Stochastic Processes Appl. 57, No. 2, 225--245 (1995; Zbl 0824.60085) Full Text: DOI OpenURL
Meyre, Thierry; Werner, Wendelin Asymptotic estimation of the radius of the largest disc covered by the planar Wiener sausage. (Estimation asymptotique du rayon du plus grand disque recouvert par la saucisse de Wiener plane.) (French) Zbl 0828.60066 Stochastics Stochastics Rep. 48, No. 1-2, 45-59 (1994). MSC: 60J65 PDF BibTeX XML Cite \textit{T. Meyre} and \textit{W. Werner}, Stochastics Stochastics Rep. 48, No. 1--2, 45--59 (1994; Zbl 0828.60066) Full Text: DOI OpenURL
Albeverio, Sergio; Zhou, Xian Yin On the intersections of Wiener sausages in four dimensions. (English) Zbl 0813.60040 Lumer, Günter (ed.) et al., Partial differential equations. Models in physics and biology. Contributions to the conference, held in Han-sur- Lesse, Belgium, in December 1993. Berlin: Akademie Verlag. Math. Res. 82, 9-39 (1994). MSC: 60G17 60J65 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{X. Y. Zhou}, in: Partial differential equations. Models in physics and biology. Contributions to the conference, held in Han-sur-Lesse, Belgium, in December 1993. Berlin: Akademie Verlag. 9--39 (1994; Zbl 0813.60040) OpenURL
Sznitman, Alain-Sol Brownian motion and obstacles. (English) Zbl 0815.60077 Joseph, A. (ed.) et al., First European congress of mathematics (ECM), Paris, France, July 6-10, 1992. Volume I: Invited lectures (Part 1). Basel: Birkhäuser. Prog. Math. 119, 225-248 (1994). Reviewer: M.Chaleyat-Maurel (Paris) MSC: 60J65 35P15 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Prog. Math. 119, 225--248 (1994; Zbl 0815.60077) OpenURL
van den Berg, Michiel; Bolthausen, Erwin Asymptotics of the generating function for the volume of the Wiener sausage. (English) Zbl 0801.60067 Probab. Theory Relat. Fields 99, No. 3, 389-397 (1994). Reviewer: M.van den Berg MSC: 60J65 60F10 60J45 PDF BibTeX XML Cite \textit{M. van den Berg} and \textit{E. Bolthausen}, Probab. Theory Relat. Fields 99, No. 3, 389--397 (1994; Zbl 0801.60067) Full Text: DOI OpenURL
Bolthausen, Erwin; den Hollander, Frank Survival asymptotics for Brownian motion in a Poisson field of decaying traps. (English) Zbl 0793.60086 Ann. Probab. 22, No. 1, 160-176 (1994). MSC: 60J55 60G17 60G57 PDF BibTeX XML Cite \textit{E. Bolthausen} and \textit{F. den Hollander}, Ann. Probab. 22, No. 1, 160--176 (1994; Zbl 0793.60086) Full Text: DOI OpenURL
Berezhkovskiĭ, A. M. Volume of the domain visited by \(N\) spherical Brownian particles. (English) Zbl 1080.82577 J. Stat. Phys. 76, No. 3-4, 1089-1097 (1994). MSC: 82C41 60J65 60K35 82C20 82C22 PDF BibTeX XML Cite \textit{A. M. Berezhkovskiĭ}, J. Stat. Phys. 76, No. 3--4, 1089--1097 (1994; Zbl 1080.82577) Full Text: DOI OpenURL
Rosen, Jay The asymptotics of stable sausages in the plane. (English) Zbl 0748.60064 Ann. Probab. 20, No. 1, 29-60 (1992). Reviewer: Z.Vondraček (Zagreb) MSC: 60J99 60J55 60F25 60G17 PDF BibTeX XML Cite \textit{J. Rosen}, Ann. Probab. 20, No. 1, 29--60 (1992; Zbl 0748.60064) Full Text: DOI OpenURL
Chavel, Isaac; Feldman, Edgar; Rosen, Jay Fluctuations of the Wiener sausage for surfaces. (English) Zbl 0765.58034 Ann. Probab. 19, No. 1, 83-141 (1991). MSC: 58J65 60J65 PDF BibTeX XML Cite \textit{I. Chavel} et al., Ann. Probab. 19, No. 1, 83--141 (1991; Zbl 0765.58034) 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
van den Berg, M.; Tóth, B. Exponential estimates for the Wiener sausage. (English) Zbl 0717.60093 Probab. Theory Relat. Fields 88, No. 2, 249-259 (1991). Reviewer: M.van den Berg MSC: 60J65 PDF BibTeX XML Cite \textit{M. van den Berg} and \textit{B. Tóth}, Probab. Theory Relat. Fields 88, No. 2, 249--259 (1991; Zbl 0717.60093) Full Text: DOI OpenURL
Sznitman, Alain-Sol On long excursions of Brownian motion among Poissonian obstacles. (English) Zbl 0760.60027 Stochastic analysis, Proc. Symp., Durham/UK 1990, Lond. Math. Soc. Lect. Note Ser. 167, 353-375 (1991). Reviewer: U.F.Schmock (Zürich) MSC: 60F10 60J65 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Lond. Math. Soc. Lect. Note Ser. None, 353--375 (1991; Zbl 0760.60027) OpenURL
Rosen, Jay S. Self-intersections of stable processes in the plane: local times and limit theorems. (English) Zbl 0744.60040 Stochastic processes, Proc. Semin., Vancouver/Can. 1990, Prog. Probab. 24, 285-320 (1991). Reviewer: Ilya S. Molchanov (Kiev) MSC: 60G17 60J55 60F99 PDF BibTeX XML Cite \textit{J. S. Rosen}, Prog. Probab. None, 285--320 (1991; Zbl 0744.60040) Full Text: DOI OpenURL
Schmock, Uwe On the maximum entropy principle for Markov chains and processes. (English) Zbl 0714.60020 Berlin: TU Berlin, FB Mathematik, Diss. 107 p. (1990). Reviewer: F.Papangelou MSC: 60F10 PDF BibTeX XML Cite \textit{U. Schmock}, On the maximum entropy principle for Markov chains and processes. Berlin: TU Berlin, FB Mathematik (1990; Zbl 0714.60020) OpenURL
Sznitman, Alain-Sol Lifschitz tail on hyperbolic space: Neumann conditions. (English) Zbl 0735.60086 Commun. Pure Appl. Math. 43, No. 1, 1-30 (1990). Reviewer: P.Salminen (Åbo) MSC: 60J65 60H25 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Commun. Pure Appl. Math. 43, No. 1, 1--30 (1990; Zbl 0735.60086) Full Text: DOI OpenURL
Sznitman, Alain-Sol Lifschitz tail and Wiener sausage. II. (English) Zbl 0732.60089 J. Funct. Anal. 94, No. 2, 247-272 (1990). Reviewer: M.Dozzi (Ittigen) MSC: 60J65 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, J. Funct. Anal. 94, No. 2, 247--272 (1990; Zbl 0732.60089) Full Text: DOI OpenURL
Sznitman, Alain-Sol Lifschitz tail and Wiener sausage. I. (English) Zbl 0732.60088 J. Funct. Anal. 94, No. 2, 223-246 (1990). Reviewer: M.Dozzi (Ittigen) MSC: 60J65 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, J. Funct. Anal. 94, No. 2, 223--246 (1990; Zbl 0732.60088) Full Text: DOI OpenURL
Sznitman, Alain-Sol Long time asymptotics for the shrinking Wiener sausage. (English) Zbl 0718.60091 Commun. Pure Appl. Math. 43, No. 6, 809-820 (1990). Reviewer: M.Dozzi (Ittigen) MSC: 60J65 60F10 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Commun. Pure Appl. Math. 43, No. 6, 809--820 (1990; Zbl 0718.60091) Full Text: DOI OpenURL
Bolthausen, Erwin On the volume of the Wiener sausage. (English) Zbl 0718.60021 Ann. Probab. 18, No. 4, 1576-1582 (1990). Reviewer: W.Bryc (Cincinnati) MSC: 60F10 60J65 PDF BibTeX XML Cite \textit{E. Bolthausen}, Ann. Probab. 18, No. 4, 1576--1582 (1990; Zbl 0718.60021) Full Text: DOI OpenURL
Le Gall, Jean-François Wiener sausage and self-intersection local times. (English) Zbl 0697.60081 J. Funct. Anal. 88, No. 2, 299-341 (1990). Reviewer: P.J.Fitzsimmons MSC: 60J55 60J65 PDF BibTeX XML Cite \textit{J.-F. Le Gall}, J. Funct. Anal. 88, No. 2, 299--341 (1990; Zbl 0697.60081) Full Text: DOI OpenURL
Schmock, Uwe Convergence of the normalized one-dimensional Wiener sausage path measures to a mixture of Brownian taboo processes. (English) Zbl 0697.60032 Stochastics Stochastics Rep. 29, No. 2, 171-183 (1990). MSC: 60F10 60F05 60J65 PDF BibTeX XML Cite \textit{U. Schmock}, Stochastics Stochastics Rep. 29, No. 2, 171--183 (1990; Zbl 0697.60032) Full Text: DOI OpenURL
Sznitman, Alain-Sol Lifschitz tail and Wiener sausage on hyperbolic space. (English) Zbl 0696.60079 Commun. Pure Appl. Math. 42, No. 8, 1033-1065 (1989). Reviewer: P.Salminen MSC: 60J65 60J60 60H25 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Commun. Pure Appl. Math. 42, No. 8, 1033--1065 (1989; Zbl 0696.60079) Full Text: DOI OpenURL
Weinryb, Sophie Asymptotic results for independent Wiener sausages. Application to generalized intersection local times. (English) Zbl 0674.60076 Stochastics Stochastics Rep. 27, No. 2, 99-127 (1989). Reviewer: J.Bertoin MSC: 60J65 60J55 PDF BibTeX XML Cite \textit{S. Weinryb}, Stochastics Stochastics Rep. 27, No. 2, 99--127 (1989; Zbl 0674.60076) Full Text: DOI OpenURL
Deuschel, Jean-Dominique; Stroock, Daniel W. Large deviations. Rev. ed. (English) Zbl 0705.60029 Pure and Applied Mathematics, 137. Boston, MA etc.: Academic Press, Inc. xiv, 307 p. $ 34.95 (1989). Reviewer: U.Mansmann MSC: 60F10 60-02 60F15 PDF BibTeX XML Cite \textit{J.-D. Deuschel} and \textit{D. W. Stroock}, Large deviations. Rev. ed. Boston, MA etc.: Academic Press, Inc. (1989; Zbl 0705.60029) OpenURL
Le Gall, Jean-François Fluctuation results for the Wiener sausage. (English) Zbl 0665.60080 Ann. Probab. 16, No. 3, 991-1018 (1988). Reviewer: M.Dozzi MSC: 60J65 60F05 60G17 PDF BibTeX XML Cite \textit{J.-F. Le Gall}, Ann. Probab. 16, No. 3, 991--1018 (1988; Zbl 0665.60080) Full Text: DOI OpenURL
Varadhan, Srinivasa R. S. Large deviations and applications. (English) Zbl 0661.60040 Calcul des probabilités, Éc. d’Été, Saint-Flour/Fr. 1985-87, Lect. Notes Math. 1362, 1-49 (1988). Reviewer: A.M.Zapala MSC: 60F10 60G10 60J10 60J25 60G15 PDF BibTeX XML OpenURL
Davis, Burgess; Salisbury, Thomas S. Connecting Brownian paths. (English) Zbl 0658.60111 Ann. Probab. 16, No. 4, 1428-1457 (1988). Reviewer: P.Salminen MSC: 60J65 60J45 PDF BibTeX XML Cite \textit{B. Davis} and \textit{T. S. Salisbury}, Ann. Probab. 16, No. 4, 1428--1457 (1988; Zbl 0658.60111) Full Text: DOI OpenURL
Chavel, Isaac; Feldman, Edgar; Rosen, Jay Fluctuations of the Wiener sausage for surfaces. (English) Zbl 0658.58043 Geometry of random motion, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Ithaca/NY 1987, Contemp. Math. 73, 1-7 (1988). Reviewer: H.Crauel MSC: 58J65 PDF BibTeX XML OpenURL
Sznitman, Alain-Sol Singularité de Lifschitz et saucisse de Wiener sur l’espace hyperbolique. (Lifschitz tail and Wiener sausage on hyperbolic space). (French) Zbl 0655.60065 C. R. Acad. Sci., Paris, Sér. I 307, No. 16, 843-845 (1988). MSC: 60J65 28B05 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, C. R. Acad. Sci., Paris, Sér. I 307, No. 16, 843--845 (1988; Zbl 0655.60065) OpenURL
Le Gall, Jean-François Some intersection properties of Brownian paths and random walks. (English) Zbl 0677.60091 Probability theory and applications, Proc. World Congr. Bernoulli Soc., Tashkent/USSR 1986, Vol. 1, 547-556 (1987). Reviewer: J.Bertoin MSC: 60J65 PDF BibTeX XML OpenURL
Sznitman, A. S. Propagation of chaos for a system of annihilating Brownian spheres. (English) Zbl 0669.60094 Commun. Pure Appl. Math. 40, No. 6, 663-690 (1987). Reviewer: K.Fleischmann MSC: 60K35 60J65 35K55 PDF BibTeX XML Cite \textit{A. S. Sznitman}, Commun. Pure Appl. Math. 40, No. 6, 663--690 (1987; Zbl 0669.60094) Full Text: DOI OpenURL
Ozawa, Shin Mathematical study of spectra in random media. (English) Zbl 0649.60103 Hydrodynamic behavior and interacting particle systems, Proc. Workshop, Minneapolis/Minn. 1986, IMA Vol. Math. Appl. 9, (1987), 127-136 (1987). Reviewer: S.Ozawa MSC: 60K35 60H99 PDF BibTeX XML OpenURL
Le Gall, Jean-François Temps locaux d’intersection rénormalisés et développement asymptotique du volume de la saucisse de Wiener plane. (Renormalized self-intersection local times and asymptotic expansions for the volume of the two-dimensional Wiener sausage). (French) Zbl 0621.60084 C. R. Acad. Sci., Paris, Sér. I 304, 339-342 (1987). MSC: 60J65 60G17 60J55 PDF BibTeX XML Cite \textit{J.-F. Le Gall}, C. R. Acad. Sci., Paris, Sér. I 304, 339--342 (1987; Zbl 0621.60084) OpenURL
Le Gall, Jean-François Sur la saucisse de Wiener et les points multiples du mouvement Brownien. (On the Wiener sausage and the multiple points of Brownian motion). (French) Zbl 0621.60083 Ann. Probab. 14, 1219-1244 (1986). Reviewer: W.S.Kendall MSC: 60J65 PDF BibTeX XML Cite \textit{J.-F. Le Gall}, Ann. Probab. 14, 1219--1244 (1986; Zbl 0621.60083) Full Text: DOI OpenURL
Chavel, I.; Feldman, E. A. The Lenz shift and Wiener sausage in insulated domains. (English) Zbl 0616.60076 From local times to global geometry, control and physics, Emanations from Warwick Symp. Stochastic diff. equations appl., Coventry/Engl. 1984/85, Pitman Res. Notes Math. Ser. 150, 47-67 (1986). MSC: 60J65 60H15 PDF BibTeX XML OpenURL
Chavel, Isaac; Feldman, Edgar A. The Lenz shift and Wiener sausage in Riemannian manifolds. (English) Zbl 0607.60066 Compos. Math. 60, 65-84 (1986). Reviewer: H.Crauel MSC: 60J60 58J65 60J65 PDF BibTeX XML Cite \textit{I. Chavel} and \textit{E. A. Feldman}, Compos. Math. 60, 65--84 (1986; Zbl 0607.60066) Full Text: Numdam EuDML OpenURL
Chavel, Isaac; Feldman, Edgar A. The Wiener sausage and a theorem of Spitzer in Riemannian manifolds. (English) Zbl 0597.58047 Probability theory and harmonic analysis, Pap. Mini-Conf., Cleveland/Ohio 1983, Pure Appl. Math., Marcel Dekker 98, 45-60 (1986). Reviewer: J.Marschall MSC: 58J65 PDF BibTeX XML OpenURL
Weinryb, Sophie Étude asymptotique par des mesures de \({\mathbb{R}}^ 3\) de saucisses de Wiener localisées. (English) Zbl 0592.60069 Probab. Theory Relat. Fields 73, 135-148 (1986). MSC: 60J65 60J55 PDF BibTeX XML Cite \textit{S. Weinryb}, Probab. Theory Relat. Fields 73, 135--148 (1986; Zbl 0592.60069) Full Text: DOI OpenURL
Eisele, Th.; Lang, R. Asymptotics for the Wiener sausage with drift. (English) Zbl 0586.60076 Probab. Theory Relat. Fields 74, 125-140 (1986). MSC: 60J65 60K35 PDF BibTeX XML Cite \textit{Th. Eisele} and \textit{R. Lang}, Probab. Theory Relat. Fields 74, 125--140 (1986; Zbl 0586.60076) Full Text: DOI OpenURL
Weinryb, Sophie Étude asymptotique par des mesures de \({\mathbb{R}}^ 3\) de saucisses de Wiener localisées. (French) Zbl 0581.60066 Probab. Theory Relat. Fields (to appear). MSC: 60J65 60J55 PDF BibTeX XML OpenURL
le Gall, Jean-François Sur le temps local d’intersection du mouvement brownien plan et la méthode de rénormalisation de Varadhan. (French) Zbl 0563.60072 Sémin. de probabilités XIX, Univ. Strasbourg 1983/84, Proc., Lect. Notes Math. 1123, 314-331 (1985). MSC: 60J65 60G17 PDF BibTeX XML Full Text: Numdam EuDML OpenURL
Varadhan, S. R. S. Large deviations and applications. (English) Zbl 0549.60023 CBMS-NSF Regional Conference Series in Applied Mathematics 46. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-189-4). v, 75 p. (1984). Reviewer: E. Bolthausen MSC: 60F10 60-02 60J65 60J60 PDF BibTeX XML Cite \textit{S. R. S. Varadhan}, Large deviations and applications. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (1984; Zbl 0549.60023) OpenURL
Ozawa, Shin On an elaboration of M. Kac’s theorem concerning eigenvalues of -\(\Delta\) in a region with randomly distributed small obstacles. (English) Zbl 0544.60067 Proc. Japan Acad., Ser. A 59, 5-7 (1983). Reviewer: P.Metzger MSC: 60J45 35F15 58J50 PDF BibTeX XML Cite \textit{S. Ozawa}, Proc. Japan Acad., Ser. A 59, 5--7 (1983; Zbl 0544.60067) Full Text: DOI OpenURL