Borbényi, Márton; Ráth, Balázs; Rokob, Sándor Random interlacement is a factor of i.i.d. (English) Zbl 07707097 Electron. J. Probab. 28, Paper No. 58, 45 p. (2023). MSC: 60-XX 82Bxx PDF BibTeX XML Cite \textit{M. Borbényi} et al., Electron. J. Probab. 28, Paper No. 58, 45 p. (2023; Zbl 07707097) Full Text: DOI arXiv Link
Prévost, Alexis Percolation for the Gaussian free field on the cable system: counterexamples. (English) Zbl 07707095 Electron. J. Probab. 28, Paper No. 62, 43 p. (2023). MSC: 60K35 60G15 60G60 82B43 PDF BibTeX XML Cite \textit{A. Prévost}, Electron. J. Probab. 28, Paper No. 62, 43 p. (2023; Zbl 07707095) Full Text: DOI arXiv Link
Eisenbaum, Nathalie; Kaspi, Haya Addendum to: “Isomorphism theorems, extended Markov processes and random interlacements”. (English) Zbl 1515.60263 Electron. J. Probab. 28, Paper No. 45, 3 p. (2023). MSC: 60J25 60G15 60G57 60J35 60J40 60J45 60J55 PDF BibTeX XML Cite \textit{N. Eisenbaum} and \textit{H. Kaspi}, Electron. J. Probab. 28, Paper No. 45, 3 p. (2023; Zbl 1515.60263) Full Text: DOI Link
Hernández-Torres, Saraí; Procaccia, Eviatar B.; Rosenthal, Ron The chemical distance in random interlacements in the low-intensity regime. (English) Zbl 1511.60145 Commun. Math. Phys. 400, No. 3, 1697-1737 (2023). MSC: 60K35 82B43 92E10 PDF BibTeX XML Cite \textit{S. Hernández-Torres} et al., Commun. Math. Phys. 400, No. 3, 1697--1737 (2023; Zbl 1511.60145) Full Text: DOI arXiv
Cai, Zhenhao; Han, Xiao; Ye, Jiayan; Zhang, Yuan On chemical distance and local uniqueness of a sufficiently supercritical finitary random interlacements. (English) Zbl 07686381 J. Theor. Probab. 36, No. 1, 522-592 (2023). MSC: 60K35 60G50 PDF BibTeX XML Cite \textit{Z. Cai} et al., J. Theor. Probab. 36, No. 1, 522--592 (2023; Zbl 07686381) Full Text: DOI arXiv
Cai, Zhenhao; Zhang, Yuan On the exact orders of critical value in finitary random interlacements. (English) Zbl 1509.60166 Stochastic Processes Appl. 159, 391-427 (2023). MSC: 60K35 82B41 PDF BibTeX XML Cite \textit{Z. Cai} and \textit{Y. Zhang}, Stochastic Processes Appl. 159, 391--427 (2023; Zbl 1509.60166) Full Text: DOI arXiv
Eisenbaum, Nathalie; Kaspi, Haya Isomorphism theorems, extended Markov processes and random interlacements. (English) Zbl 1509.60130 Electron. J. Probab. 27, Paper No. 160, 27 p. (2022); addendum ibid. 28, Paper No. 45, 3 p. (2023). . Link to issue. MSC: 60J25 60G15 60G57 60J35 60J40 60J45 60J55 PDF BibTeX XML Cite \textit{N. Eisenbaum} and \textit{H. Kaspi}, Electron. J. Probab. 27, Paper No. 160, 27 p. (2022; Zbl 1509.60130) Full Text: DOI
Cai, Zhenhao; Procaccia, Eviatar B.; Zhang, Yuan Continuity and uniqueness of percolation critical parameters in finitary random interlacements. (English) Zbl 1507.60125 Electron. J. Probab. 27, Paper No. 97, 46 p. (2022). MSC: 60K35 60D05 60G55 PDF BibTeX XML Cite \textit{Z. Cai} et al., Electron. J. Probab. 27, Paper No. 97, 46 p. (2022; Zbl 1507.60125) Full Text: DOI arXiv Link
Sznitman, Alain-Sol Excess deviations for points disconnected by random interlacements. (English) Zbl 1483.60149 Probab. Math. Phys. 2, No. 3, 563-611 (2021). MSC: 60K35 35A15 60F10 82B43 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Probab. Math. Phys. 2, No. 3, 563--611 (2021; Zbl 1483.60149) Full Text: DOI arXiv
Cai, Zhenhao; Zhang, Yuan Some rigorous results on the phase transition of finitary random interlacements. (English) Zbl 1493.60140 Electron. Commun. Probab. 26, Paper No. 52, 11 p. (2021). MSC: 60K35 PDF BibTeX XML Cite \textit{Z. Cai} and \textit{Y. Zhang}, Electron. Commun. Probab. 26, Paper No. 52, 11 p. (2021; Zbl 1493.60140) Full Text: DOI arXiv
Sznitman, Alain-Sol On the \(C^1\)-property of the percolation function of random interlacements and a related variational problem. (English) Zbl 1469.60347 Vares, Maria Eulália (ed.) et al., In and out of equilibrium 3: celebrating Vladas Sidoravicius. Cham: Birkhäuser. Prog. Probab. 77, 775-796 (2021). MSC: 60K35 35A15 82B43 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Prog. Probab. 77, 775--796 (2021; Zbl 1469.60347) Full Text: DOI 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 PDF BibTeX XML Cite \textit{Z. Zhuang}, ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1061--1084 (2021; Zbl 1469.60143) Full Text: arXiv Link
Procaccia, Eviatar B.; Ye, Jiayan; Zhang, Yuan Percolation for the finitary random interlacements of random spherical harmonics. (English) Zbl 1468.60123 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 265-287 (2021). MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{E. B. Procaccia} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 265--287 (2021; Zbl 1468.60123) Full Text: Link
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
Nitzschner, Maximilian; Sznitman, Alain-Sol Solidification of porous interfaces and disconnection. (English) Zbl 1475.60145 J. Eur. Math. Soc. (JEMS) 22, No. 8, 2629-2672 (2020). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 60J45 60F10 60K35 82B43 PDF BibTeX XML Cite \textit{M. Nitzschner} and \textit{A.-S. Sznitman}, J. Eur. Math. Soc. (JEMS) 22, No. 8, 2629--2672 (2020; Zbl 1475.60145) Full Text: DOI arXiv
Chiarini, Alberto; Nitzschner, Maximilian Entropic repulsion for the occupation-time field of random interlacements conditioned on disconnection. (English) Zbl 1456.60189 Ann. Probab. 48, No. 3, 1317-1351 (2020). MSC: 60J27 60K35 60F10 60G60 82B43 PDF BibTeX XML Cite \textit{A. Chiarini} and \textit{M. Nitzschner}, Ann. Probab. 48, No. 3, 1317--1351 (2020; Zbl 1456.60189) Full Text: DOI arXiv Euclid
Hutchcroft, Tom Universality of high-dimensional spanning forests and sandpiles. (English) Zbl 1434.60296 Probab. Theory Relat. Fields 176, No. 1-2, 533-597 (2020). MSC: 60K35 82B20 PDF BibTeX XML Cite \textit{T. Hutchcroft}, Probab. Theory Relat. Fields 176, No. 1--2, 533--597 (2020; Zbl 1434.60296) Full Text: DOI arXiv
de Bernardini, Diego F.; Gallesco, Christophe; Popov, Serguei An improved decoupling inequality for random interlacements. (English) Zbl 1428.60136 J. Stat. Phys. 177, No. 6, 1216-1239 (2019). MSC: 60K35 60G50 82C41 PDF BibTeX XML Cite \textit{D. F. de Bernardini} et al., J. Stat. Phys. 177, No. 6, 1216--1239 (2019; Zbl 1428.60136) Full Text: DOI arXiv
Elias, Olof; Tykesson, Johan Visibility in the vacant set of the Brownian interlacements and the Brownian excursion process. (English) Zbl 1488.60231 ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 2, 1007-1028 (2019). MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{O. Elias} and \textit{J. Tykesson}, ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 2, 1007--1028 (2019; Zbl 1488.60231) Full Text: arXiv Link
Sznitman, Alain-Sol On macroscopic holes in some supercritical strongly dependent percolation models. (English) Zbl 1467.60081 Ann. Probab. 47, No. 4, 2459-2493 (2019). MSC: 60K35 60G50 60F10 60G15 82B43 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Ann. Probab. 47, No. 4, 2459--2493 (2019; Zbl 1467.60081) Full Text: DOI arXiv Euclid
Gantert, Nina; Popov, Serguei; Vachkovskaia, Marina On the range of a two-dimensional conditioned simple random walk. (Sur l’amplitude d’une marche aléatoire simple bidimensionnelle conditionnée.) (English) Zbl 1454.60110 Ann. Henri Lebesgue 2, 349-368 (2019). MSC: 60J10 60G50 82C41 PDF BibTeX XML Cite \textit{N. Gantert} et al., Ann. Henri Lebesgue 2, 349--368 (2019; Zbl 1454.60110) Full Text: DOI arXiv
Sznitman, Alain-Sol On coupling and “Vacant set level set” percolation. (English) Zbl 1412.60135 Electron. Commun. Probab. 24, Paper No. 20, 12 p. (2019). MSC: 60K35 60G15 60J10 82B43 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Electron. Commun. Probab. 24, Paper No. 20, 12 p. (2019; Zbl 1412.60135) Full Text: DOI arXiv Euclid
Procaccia, Eviatar B.; Zhang, Yuan Connectivity properties of branching interlacements. (English) Zbl 1406.60121 ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 279-314 (2019). MSC: 60J80 60D05 60G57 PDF BibTeX XML Cite \textit{E. B. Procaccia} and \textit{Y. Zhang}, ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 279--314 (2019; Zbl 1406.60121) Full Text: arXiv Link
Drewitz, Alexander; Prévost, Alexis; Rodriguez, Pierre-François The sign clusters of the massless Gaussian free field percolate on \(\mathbb{Z}^{d}\), \(d \geqslant 3\) (and more). (English) Zbl 1394.60099 Commun. Math. Phys. 362, No. 2, 513-546 (2018). MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{A. Drewitz} et al., Commun. Math. Phys. 362, No. 2, 513--546 (2018; Zbl 1394.60099) Full Text: DOI arXiv
Alves, Caio; Popov, Serguei Conditional decoupling of random interlacements. (English) Zbl 1394.60095 ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 2, 1027-1063 (2018). MSC: 60K35 60G50 82C41 PDF BibTeX XML Cite \textit{C. Alves} and \textit{S. Popov}, ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 2, 1027--1063 (2018; Zbl 1394.60095) Full Text: arXiv Link
Camargo, Darcy; Popov, Serguei A one-dimensional version of the random interlacements. (English) Zbl 1388.60088 Stochastic Processes Appl. 128, No. 8, 2750-2778 (2018). MSC: 60G50 60K35 60F05 PDF BibTeX XML Cite \textit{D. Camargo} and \textit{S. Popov}, Stochastic Processes Appl. 128, No. 8, 2750--2778 (2018; Zbl 1388.60088) Full Text: DOI arXiv
Abächerli, Angelo; Sznitman, Alain-Sol Level-set percolation for the Gaussian free field on a transient tree. (English. French summary) Zbl 1396.60099 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 1, 173-201 (2018). MSC: 60K35 60G15 60J10 60J80 82B43 PDF BibTeX XML Cite \textit{A. Abächerli} and \textit{A.-S. Sznitman}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 1, 173--201 (2018; Zbl 1396.60099) Full Text: DOI arXiv
Comets, Francis; Popov, Serguei The vacant set of two-dimensional critical random interlacement is infinite. (English) Zbl 1409.60140 Ann. Probab. 45, No. 6B, 4752-4785 (2017). MSC: 60K35 60G50 82C41 PDF BibTeX XML Cite \textit{F. Comets} and \textit{S. Popov}, Ann. Probab. 45, No. 6B, 4752--4785 (2017; Zbl 1409.60140) Full Text: DOI arXiv Euclid
Li, Xinyi A lower bound for disconnection by simple random walk. (English) Zbl 1421.60002 Ann. Probab. 45, No. 2, 879-931 (2017). Reviewer: Dominique Lépingle (Orléans) MSC: 60F10 60K35 60J27 82B43 PDF BibTeX XML Cite \textit{X. Li}, Ann. Probab. 45, No. 2, 879--931 (2017; Zbl 1421.60002) Full Text: DOI arXiv Euclid
Georgakopoulos, Agelos Group-walk random graphs. (English) Zbl 1371.05268 Ceccherini-Silberstein, Tullio (ed.) et al., Groups, graphs and random walks. Selected papers of the workshop, Cortona, Italy, June 2–6, 2014 on the occasion of the 60th birthday of Wolfgang Woess. Cambridge: Cambridge University Press (ISBN 978-1-316-60440-3/pbk; 978-1-316-57657-1/ebook). London Mathematical Society Lecture Note Series 436, 190-204 (2017). MSC: 05C80 PDF BibTeX XML Cite \textit{A. Georgakopoulos}, Lond. Math. Soc. Lect. Note Ser. 436, 190--204 (2017; Zbl 1371.05268) Full Text: DOI arXiv
Sapozhnikov, Artem Random walks on infinite percolation clusters in models with long-range correlations. (English) Zbl 1374.60194 Ann. Probab. 45, No. 3, 1842-1898 (2017). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60K37 58J35 60K35 60G50 PDF BibTeX XML Cite \textit{A. Sapozhnikov}, Ann. Probab. 45, No. 3, 1842--1898 (2017; Zbl 1374.60194) Full Text: DOI arXiv
Sznitman, Alain-Sol Disconnection, random walks, and random interlacements. (English) Zbl 1365.60080 Probab. Theory Relat. Fields 167, No. 1-2, 1-44 (2017). Reviewer: Boris Granovsky (Haifa) MSC: 60K35 60G50 60G55 60F10 60J27 82B43 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Probab. Theory Relat. Fields 167, No. 1--2, 1--44 (2017; Zbl 1365.60080) Full Text: DOI arXiv
Černý, Jiří; Teixeira, Augusto Random walks on torus and random interlacements: macroscopic coupling and phase transition. (English) Zbl 1353.60083 Ann. Appl. Probab. 26, No. 5, 2883-2914 (2016). MSC: 60K35 60G50 82C41 05C80 PDF BibTeX XML Cite \textit{J. Černý} and \textit{A. Teixeira}, Ann. Appl. Probab. 26, No. 5, 2883--2914 (2016; Zbl 1353.60083) Full Text: DOI arXiv
Lupu, Titus From loop clusters and random interlacements to the free field. (English) Zbl 1348.60141 Ann. Probab. 44, No. 3, 2117-2146 (2016). Reviewer: Boris Granovsky (Haifa) MSC: 60K35 60G15 60G60 60J75 60G55 05C90 PDF BibTeX XML Cite \textit{T. Lupu}, Ann. Probab. 44, No. 3, 2117--2146 (2016; Zbl 1348.60141) Full Text: DOI arXiv Euclid
Černý, Jiří; Sapozhnikov, Artem Mixing time for the random walk on the range of the random walk on tori. (English) Zbl 1338.60240 Electron. Commun. Probab. 21, Paper No. 26, 10 p. (2016). MSC: 60K37 58J35 PDF BibTeX XML Cite \textit{J. Černý} and \textit{A. Sapozhnikov}, Electron. Commun. Probab. 21, Paper No. 26, 10 p. (2016; Zbl 1338.60240) Full Text: DOI arXiv Euclid
Sznitman, Alain-Sol Coupling and an application to level-set percolation of the Gaussian free field. (English) Zbl 1336.60194 Electron. J. Probab. 21, Paper No. 35, 26 p. (2016). MSC: 60K35 60G15 60J27 60J80 82B43 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Electron. J. Probab. 21, Paper No. 35, 26 p. (2016; Zbl 1336.60194) Full Text: DOI arXiv Euclid
Comets, Francis; Popov, Serguei; Vachkovskaia, Marina Two-dimensional random interlacements and late points for random walks. (English) Zbl 1336.60185 Commun. Math. Phys. 343, No. 1, 129-164 (2016). MSC: 60K35 60G50 PDF BibTeX XML Cite \textit{F. Comets} et al., Commun. Math. Phys. 343, No. 1, 129--164 (2016; Zbl 1336.60185) Full Text: DOI arXiv
Drewitz, Alexander; Erhard, Dirk Transience of the vacant set for near-critical random interlacements in high dimensions. (English. French summary) Zbl 1333.60202 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 1, 84-101 (2016). MSC: 60K35 60G55 82B43 PDF BibTeX XML Cite \textit{A. Drewitz} and \textit{D. Erhard}, Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 1, 84--101 (2016; Zbl 1333.60202) Full Text: DOI arXiv Euclid
De Bernardini, Diego F.; Popov, Serguei Russo’s formula for random interlacements. (English) Zbl 1357.60108 J. Stat. Phys. 160, No. 2, 321-335 (2015). MSC: 60K35 60G50 82C41 PDF BibTeX XML Cite \textit{D. F. De Bernardini} and \textit{S. Popov}, J. Stat. Phys. 160, No. 2, 321--335 (2015; Zbl 1357.60108) Full Text: DOI arXiv
Rosen, Jay Isomorphism theorems: Markov processes, Gaussian processes and beyond. (English) Zbl 1338.60193 Gayrard, Véronique (ed.) et al., Correlated random systems: five different methods. CIRM Jean-Morlet Chair, Marseille, France, spring 2013. Cham: Springer; Paris: Société Mathématique de France (SMF) (ISBN 978-3-319-17673-4/pbk; 978-3-319-17674-1/ebook). Lecture Notes in Mathematics 2143, 121-177 (2015). MSC: 60J25 60G15 60K35 60J55 60G17 PDF BibTeX XML Cite \textit{J. Rosen}, Lect. Notes Math. 2143, 121--177 (2015; Zbl 1338.60193) Full Text: DOI
Sznitman, Alain-Sol Disconnection and level-set percolation for the Gaussian free field. (English) Zbl 1337.60246 J. Math. Soc. Japan 67, No. 4, 1801-1843 (2015). Reviewer: Weiping Li (Stillwater) MSC: 60K35 60G60 60G15 60G50 60F10 82B43 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, J. Math. Soc. Japan 67, No. 4, 1801--1843 (2015; Zbl 1337.60246) Full Text: DOI arXiv Euclid
Popov, Serguei; Teixeira, Augusto Soft local times and decoupling of random interlacements. (English) Zbl 1329.60342 J. Eur. Math. Soc. (JEMS) 17, No. 10, 2545-2593 (2015). MSC: 60K35 60J10 60J55 60G50 82C41 PDF BibTeX XML Cite \textit{S. Popov} and \textit{A. Teixeira}, J. Eur. Math. Soc. (JEMS) 17, No. 10, 2545--2593 (2015; Zbl 1329.60342) Full Text: DOI arXiv
Popov, Serguei; Ráth, Balázs On decoupling inequalities and percolation of excursion sets of the Gaussian free field. (English) Zbl 1328.82026 J. Stat. Phys. 159, No. 2, 312-320 (2015). MSC: 82B43 60K35 PDF BibTeX XML Cite \textit{S. Popov} and \textit{B. Ráth}, J. Stat. Phys. 159, No. 2, 312--320 (2015; Zbl 1328.82026) Full Text: DOI arXiv Link
Wassmer, Tobias Phase transition for the vacant set left by random walk on the giant component of a random graph. (English. French summary) Zbl 1312.05126 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 2, 756-780 (2015). MSC: 05C81 05C80 60J10 60K35 PDF BibTeX XML Cite \textit{T. Wassmer}, Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 2, 756--780 (2015; Zbl 1312.05126) Full Text: DOI arXiv Euclid
Li, Xinyi; Sznitman, Alain-Sol Large deviations for occupation time profiles of random interlacements. (English) Zbl 1314.60078 Probab. Theory Relat. Fields 161, No. 1-2, 309-350 (2015). Reviewer: Neville Weber (Sydney) MSC: 60F10 60G60 60K35 60J45 PDF BibTeX XML Cite \textit{X. Li} and \textit{A.-S. Sznitman}, Probab. Theory Relat. Fields 161, No. 1--2, 309--350 (2015; Zbl 1314.60078) Full Text: DOI arXiv
Ráth, Balázs A short proof of the phase transition for the vacant set of random interlacements. (English) Zbl 1307.60146 Electron. Commun. Probab. 20, Paper No. 3, 11 p. (2015). MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{B. Ráth}, Electron. Commun. Probab. 20, Paper No. 3, 11 p. (2015; Zbl 1307.60146) Full Text: DOI arXiv
Drewitz, Alexander; Ráth, Balázs; Sapozhnikov, Artëm Local percolative properties of the vacant set of random interlacements with small intensity. (English. French summary) Zbl 1319.60180 Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1165-1197 (2014). MSC: 60K35 60G50 82B43 PDF BibTeX XML Cite \textit{A. Drewitz} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 4, 1165--1197 (2014; Zbl 1319.60180) Full Text: DOI arXiv Euclid
Procaccia, Eviatar B.; Shellef, Eric On the range of a random walk in a torus and random interlacements. (English) Zbl 1305.60106 Ann. Probab. 42, No. 4, 1590-1634 (2014). MSC: 60K35 60G50 60K37 PDF BibTeX XML Cite \textit{E. B. Procaccia} and \textit{E. Shellef}, Ann. Probab. 42, No. 4, 1590--1634 (2014; Zbl 1305.60106) Full Text: DOI arXiv
Rodriguez, Pierre-François Level set percolation for random interlacements and the Gaussian free field. (English) Zbl 1288.60129 Stochastic Processes Appl. 124, No. 4, 1469-1502 (2014). MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{P.-F. Rodriguez}, Stochastic Processes Appl. 124, No. 4, 1469--1502 (2014; Zbl 1288.60129) Full Text: DOI arXiv
Li, Xinyi; Sznitman, Alain-Sol A lower bound for disconnection by random interlacements. (English) Zbl 1355.60035 Electron. J. Probab. 19, Paper No. 17, 26 p. (2014). MSC: 60F10 60K35 60J27 PDF BibTeX XML Cite \textit{X. Li} and \textit{A.-S. Sznitman}, Electron. J. Probab. 19, Paper No. 17, 26 p. (2014; Zbl 1355.60035) Full Text: DOI arXiv
Sznitman, Alain-Sol On scaling limits and Brownian interlacements. (English) Zbl 1303.60022 Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 555-592 (2013). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 60F05 60J65 60G60 60J27 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 555--592 (2013; Zbl 1303.60022) Full Text: DOI arXiv Link
Ráth, Balázs; Sapozhnikov, Artëm The effect of small quenched noise on connectivity properties of random interlacements. (English) Zbl 1347.60132 Electron. J. Probab. 18, Paper No. 4, 20 p. (2013). Reviewer: Michele Gianfelice (Rende) MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{B. Ráth} and \textit{A. Sapozhnikov}, Electron. J. Probab. 18, Paper No. 4, 20 p. (2013; Zbl 1347.60132) Full Text: DOI arXiv
Teixeira, Augusto; Tykesson, Johan Random interlacements and amenability. (English) Zbl 1375.60139 Ann. Appl. Probab. 23, No. 3, 923-956 (2013). MSC: 60K35 82C41 PDF BibTeX XML Cite \textit{A. Teixeira} and \textit{J. Tykesson}, Ann. Appl. Probab. 23, No. 3, 923--956 (2013; Zbl 1375.60139) Full Text: DOI arXiv Euclid
Sznitman, Alain-Sol On \({(\mathbb Z / N\mathbb Z)}^2\)-occupation times, the Gaussian free field, and random interlacements. (English) Zbl 1307.60103 Bull. Inst. Math., Acad. Sin. (N.S.) 7, No. 4, 565-602 (2012). MSC: 60J27 60F05 60G15 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Bull. Inst. Math., Acad. Sin. (N.S.) 7, No. 4, 565--602 (2012; Zbl 1307.60103)
Černý, Jiří; Teixeira, Augusto Quadros From random walk trajectories to random interlacements. (English) Zbl 1269.60002 Ensaios Matemáticos 23. Rio de Janeiro: Sociedade Brasileira de Matemática (ISBN 978-85-85818-69-2/pbk). 77 p. (2012). MSC: 60-02 60G50 60K35 05C81 PDF BibTeX XML Cite \textit{J. Černý} and \textit{A. Q. Teixeira}, From random walk trajectories to random interlacements. Rio de Janeiro: Sociedade Brasileira de Matemática (2012; Zbl 1269.60002) Full Text: EMIS
Tykesson, Johan; Windisch, David Percolation in the vacant set of Poisson cylinders. (English) Zbl 1263.82027 Probab. Theory Relat. Fields 154, No. 1-2, 165-191 (2012). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B43 60K35 60G55 82C41 PDF BibTeX XML Cite \textit{J. Tykesson} and \textit{D. Windisch}, Probab. Theory Relat. Fields 154, No. 1--2, 165--191 (2012; Zbl 1263.82027) Full Text: DOI arXiv
Sznitman, Alain-Sol Random interlacements and the Gaussian free field. (English) Zbl 1261.60095 Ann. Probab. 40, No. 6, 2400-2438 (2012). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 60K35 60J27 60F05 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Ann. Probab. 40, No. 6, 2400--2438 (2012; Zbl 1261.60095) Full Text: DOI arXiv Euclid
Sznitman, Alain-Sol An isomorphism theorem for random interlacements. (English) Zbl 1247.60135 Electron. Commun. Probab. 17, Paper No. 9, 9 p. (2012). MSC: 60K35 60J27 60G15 60F05 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Electron. Commun. Probab. 17, Paper No. 9, 9 p. (2012; Zbl 1247.60135) Full Text: DOI arXiv
Sznitman, Alain-Sol Topics in occupation times and Gaussian free fields. (English) Zbl 1246.60003 Zurich Lectures in Advanced Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-109-5/pbk). vii, 114 p. (2012). Reviewer: Utkir Rozikov (Tashkent) MSC: 60-01 60G15 60J27 60K35 82B41 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Topics in occupation times and Gaussian free fields. Zürich: European Mathematical Society (EMS) (2012; Zbl 1246.60003) Full Text: DOI Link
Belius, David Cover levels and random interlacements. (English) Zbl 1271.60057 Ann. Appl. Probab. 22, No. 2, 522-540 (2012). Reviewer: Achim Klenke (Mainz) MSC: 60G50 82C41 60D05 PDF BibTeX XML Cite \textit{D. Belius}, Ann. Appl. Probab. 22, No. 2, 522--540 (2012; Zbl 1271.60057) Full Text: DOI arXiv Euclid
Sznitman, Alain-Sol Decoupling inequalities and interlacement percolation on \(G\times \mathbb Z\). (English) Zbl 1277.60183 Invent. Math. 187, No. 3, 645-706 (2012). MSC: 60K35 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Invent. Math. 187, No. 3, 645--706 (2012; Zbl 1277.60183) Full Text: DOI arXiv
Ben Procaccia, Eviatar; Tykesson, Johan Geometry of the random interlacement. (English) Zbl 1254.60018 Electron. Commun. Probab. 16, 528-544 (2011). MSC: 60D05 60K35 60G55 PDF BibTeX XML Cite \textit{E. Ben Procaccia} and \textit{J. Tykesson}, Electron. Commun. Probab. 16, 528--544 (2011; Zbl 1254.60018) Full Text: DOI arXiv
Sznitman, Alain-Sol A lower bound on the critical parameter of interlacement percolation in high dimension. (English) Zbl 1230.60103 Probab. Theory Relat. Fields 150, No. 3-4, 575-611 (2011). Reviewer: Piotr Garbaczewski (Opole) MSC: 60K35 60G50 82C41 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Probab. Theory Relat. Fields 150, No. 3--4, 575--611 (2011; Zbl 1230.60103) Full Text: DOI arXiv Link
Teixeira, Augusto On the size of a finite vacant cluster of random interlacements with small intensity. (English) Zbl 1231.60117 Probab. Theory Relat. Fields 150, No. 3-4, 529-574 (2011). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 60K35 82C41 PDF BibTeX XML Cite \textit{A. Teixeira}, Probab. Theory Relat. Fields 150, No. 3--4, 529--574 (2011; Zbl 1231.60117) Full Text: DOI arXiv Link
Sznitman, Alain-Sol On the critical parameter of interlacement percolation in high dimension. (English) Zbl 1210.60047 Ann. Probab. 39, No. 1, 70-103 (2011). Reviewer: Guy Jumarie (Montréal) MSC: 60G50 60K35 82C41 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Ann. Probab. 39, No. 1, 70--103 (2011; Zbl 1210.60047) Full Text: DOI arXiv
Sidoravicius, Vladas; Sznitman, Alain-Sol Connectivity bounds for the vacant set of random interlacements. (English) Zbl 1210.60107 Ann. Inst. Henri Poincaré, Probab. Stat. 46, No. 4, 976-990 (2010). MSC: 60K35 60G50 82C41 PDF BibTeX XML Cite \textit{V. Sidoravicius} and \textit{A.-S. Sznitman}, Ann. Inst. Henri Poincaré, Probab. Stat. 46, No. 4, 976--990 (2010; Zbl 1210.60107) Full Text: DOI arXiv EuDML
Windisch, David Random walks on discrete cylinders with large bases and random interlacements. (English) Zbl 1191.60062 Ann. Probab. 38, No. 2, 841-895 (2010). Reviewer: Piotr Garbaczewski (Opole) MSC: 60G50 60K35 82C41 PDF BibTeX XML Cite \textit{D. Windisch}, Ann. Probab. 38, No. 2, 841--895 (2010; Zbl 1191.60062) Full Text: DOI arXiv
Sznitman, Alain-Sol On the domination of a random walk on a discrete cylinder by random interlacements. (English) Zbl 1196.60170 Electron. J. Probab. 14, 1670-1704 (2009). MSC: 60K35 60G50 82C41 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Electron. J. Probab. 14, 1670--1704 (2009; Zbl 1196.60170) Full Text: DOI arXiv EuDML EMIS
Teixeira, Augusto Interlacement percolation on transient weighted graphs. (English) Zbl 1192.60108 Electron. J. Probab. 14, 1604-1627 (2009). MSC: 60K35 82C41 PDF BibTeX XML Cite \textit{A. Teixeira}, Electron. J. Probab. 14, 1604--1627 (2009; Zbl 1192.60108) Full Text: DOI arXiv EuDML EMIS
Sznitman, Alain-Sol Upper bound on the disconnection time of discrete cylinders and random interlacements. (English) Zbl 1179.60025 Ann. Probab. 37, No. 5, 1715-1746 (2009). Reviewer: Guy Jumarie (Montréal) MSC: 60G50 60K35 82C41 PDF BibTeX XML Cite \textit{A.-S. Sznitman}, Ann. Probab. 37, No. 5, 1715--1746 (2009; Zbl 1179.60025) Full Text: DOI arXiv
Teixeira, Augusto On the uniqueness of the infinite cluster of the vacant set of random interlacements. (English) Zbl 1158.60046 Ann. Appl. Probab. 19, No. 1, 454-466 (2009). MSC: 60K35 82C41 PDF BibTeX XML Cite \textit{A. Teixeira}, Ann. Appl. Probab. 19, No. 1, 454--466 (2009; Zbl 1158.60046) Full Text: DOI arXiv
Windisch, David Random walk on a discrete torus and random interlacements. (English) Zbl 1187.60089 Electron. Commun. Probab. 13, 140-150 (2008). MSC: 60K35 60G50 82C41 PDF BibTeX XML Cite \textit{D. Windisch}, Electron. Commun. Probab. 13, 140--150 (2008; Zbl 1187.60089) Full Text: DOI arXiv EuDML EMIS