Forman, Noah; Pal, Soumik; Rizzolo, Douglas; Winkel, Matthias Diffusions on a space of interval partitions: Poisson-Dirichlet stationary distributions. (English) Zbl 07367494 Ann. Probab. 49, No. 2, 793-831 (2021). MSC: 60J60 60J80 60G57 60J25 60J55 60J65 PDF BibTeX XML Cite \textit{N. Forman} et al., Ann. Probab. 49, No. 2, 793--831 (2021; Zbl 07367494) Full Text: DOI arXiv OpenURL
Last, Günter; Tang, Wenpin; Thorisson, Hermann Transporting random measures on the line and embedding excursions into Brownian motion. (English. French summary) Zbl 1417.60038 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 2286-2303 (2018). MSC: 60G57 60G55 60G60 PDF BibTeX XML Cite \textit{G. Last} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 2286--2303 (2018; Zbl 1417.60038) Full Text: DOI arXiv Euclid OpenURL
Caravenna, Francesco On the maximum of conditioned random walks and tightness for pinning models. (English) Zbl 1400.82099 Electron. Commun. Probab. 23, Paper No. 69, 13 p. (2018). MSC: 82B41 60K35 60B10 82D60 PDF BibTeX XML Cite \textit{F. Caravenna}, Electron. Commun. Probab. 23, Paper No. 69, 13 p. (2018; Zbl 1400.82099) Full Text: DOI arXiv Euclid OpenURL
Rozier, Olivier The \(3x+1\) problem: a lower bound hypothesis. (English) Zbl 1415.11026 Funct. Approximatio, Comment. Math. 56, No. 1, 7-23 (2017). MSC: 11B37 11B75 60G50 94A17 PDF BibTeX XML Cite \textit{O. Rozier}, Funct. Approximatio, Comment. Math. 56, No. 1, 7--23 (2017; Zbl 1415.11026) Full Text: DOI arXiv Euclid OpenURL
Koch, Erwan Spatial risk measures and applications to max-stable processes. (English) Zbl 1387.60086 Extremes 20, No. 3, 635-670 (2017). MSC: 60G70 91B30 PDF BibTeX XML Cite \textit{E. Koch}, Extremes 20, No. 3, 635--670 (2017; Zbl 1387.60086) Full Text: DOI arXiv OpenURL
Ren, Yan-Xia; Song, Renming; Zhang, Rui Functional central limit theorems for supercritical superprocesses. (English) Zbl 1370.60059 Acta Appl. Math. 147, No. 1, 137-175 (2017). MSC: 60F17 60F05 60J68 60G57 60J45 PDF BibTeX XML Cite \textit{Y.-X. Ren} et al., Acta Appl. Math. 147, No. 1, 137--175 (2017; Zbl 1370.60059) Full Text: DOI arXiv OpenURL
Yano, Kouji Functional limit theorems for processes pieced together from excursions. (English) Zbl 1344.60035 J. Math. Soc. Japan 67, No. 4, 1859-1890 (2015). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60F17 60F05 60J25 60G18 60J60 60J65 60E07 60B10 60D05 PDF BibTeX XML Cite \textit{K. Yano}, J. Math. Soc. Japan 67, No. 4, 1859--1890 (2015; Zbl 1344.60035) Full Text: DOI arXiv Euclid OpenURL
Le Gall, Jean-François; Lin, Shen The range of tree-indexed random walk in low dimensions. (English) Zbl 1335.60070 Ann. Probab. 43, No. 5, 2701-2728 (2015). MSC: 60G50 60J80 60F05 60J68 60J65 60J55 60G57 PDF BibTeX XML Cite \textit{J.-F. Le Gall} and \textit{S. Lin}, Ann. Probab. 43, No. 5, 2701--2728 (2015; Zbl 1335.60070) Full Text: DOI arXiv Euclid OpenURL
Ren, Yan-Xia; Song, Renming; Zhang, Rui Central limit theorems for supercritical superprocesses. (English) Zbl 1325.60019 Stochastic Processes Appl. 125, No. 2, 428-457 (2015). MSC: 60F05 60J68 60J80 60G60 60G15 60G57 60J45 PDF BibTeX XML Cite \textit{Y.-X. Ren} et al., Stochastic Processes Appl. 125, No. 2, 428--457 (2015; Zbl 1325.60019) Full Text: DOI arXiv OpenURL
Duhalde, Xan Uniform Hausdorff measure of the level sets of the Brownian tree. (English) Zbl 1337.60212 ALEA, Lat. Am. J. Probab. Math. Stat. 11, No. 2, 885-916 (2014). MSC: 60J80 60J65 60G57 60J55 28A78 PDF BibTeX XML Cite \textit{X. Duhalde}, ALEA, Lat. Am. J. Probab. Math. Stat. 11, No. 2, 885--916 (2014; Zbl 1337.60212) Full Text: arXiv Link OpenURL
Canzani, Yaiza; Jakobson, Dmitry; Wigman, Igor Scalar curvature and \(Q\)-curvature of random metrics. (English) Zbl 1314.53070 J. Geom. Anal. 24, No. 4, 1982-2019 (2014). Reviewer: Renato G. Bettiol (Philadelphia) MSC: 53C21 53A30 58J50 58D17 58D20 60G60 PDF BibTeX XML Cite \textit{Y. Canzani} et al., J. Geom. Anal. 24, No. 4, 1982--2019 (2014; Zbl 1314.53070) Full Text: DOI OpenURL
Adler, Robert J.; Moldavskaya, Elina; Samorodnitsky, Gennady On the existence of paths between points in high level excursion sets of Gaussian random fields. (English) Zbl 1301.60041 Ann. Probab. 42, No. 3, 1020-1053 (2014). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60G15 60F10 60G60 60G70 60G17 PDF BibTeX XML Cite \textit{R. J. Adler} et al., Ann. Probab. 42, No. 3, 1020--1053 (2014; Zbl 1301.60041) Full Text: DOI arXiv Euclid OpenURL
He, Hui; Li, Zenghu; Zhou, Xiaowen An integral test on time-dependent local extinction for super-coalescing Brownian motion with Lebesgue initial measure. (English) Zbl 1300.60069 J. Theor. Probab. 26, No. 1, 31-45 (2013). MSC: 60G57 60J80 60F20 PDF BibTeX XML Cite \textit{H. He} et al., J. Theor. Probab. 26, No. 1, 31--45 (2013; Zbl 1300.60069) Full Text: DOI arXiv OpenURL
Chaumont, L. On the law of the supremum of Lévy processes. (English) Zbl 1277.60081 Ann. Probab. 41, No. 3A, 1191-1217 (2013). MSC: 60G51 60G70 PDF BibTeX XML Cite \textit{L. Chaumont}, Ann. Probab. 41, No. 3A, 1191--1217 (2013; Zbl 1277.60081) Full Text: DOI arXiv Euclid OpenURL
Lambert, Amaury; Popovic, Lea The coalescent point process of branching trees. (English) Zbl 1268.60107 Ann. Appl. Probab. 23, No. 1, 99-144 (2013). Reviewer: Valentin Topchii (Omsk) MSC: 60J80 60G55 60G57 60J10 60J85 60J27 92D10 92D25 PDF BibTeX XML Cite \textit{A. Lambert} and \textit{L. Popovic}, Ann. Appl. Probab. 23, No. 1, 99--144 (2013; Zbl 1268.60107) Full Text: DOI arXiv Euclid OpenURL
Abraham, Romain; Delmas, Jean-François; Voisin, Guillaume Pruning a Lévy continuum random tree. (English) Zbl 1231.60073 Electron. J. Probab. 15, Paper No. 46, 1429-1473 (2010). MSC: 60J25 60G57 60J80 60J68 PDF BibTeX XML Cite \textit{R. Abraham} et al., Electron. J. Probab. 15, Paper No. 46, 1429--1473 (2010; Zbl 1231.60073) Full Text: DOI arXiv EMIS OpenURL
Canzani, Yaiza; Jakobson, Dmitry; Wigman, Igor Scalar curvature and \(Q\)-curvature of random metrics. (English) Zbl 1208.53051 Electron. Res. Announc. Math. Sci. 17, 43-56 (2010). MSC: 53C21 60G60 53A30 58J50 58D17 58D20 PDF BibTeX XML Cite \textit{Y. Canzani} et al., Electron. Res. Announc. Math. Sci. 17, 43--56 (2010; Zbl 1208.53051) Full Text: DOI arXiv OpenURL
Alberts, Tom; Duminil-Copin, Hugo Bridge decomposition of restriction measures. (English) Zbl 1197.82055 J. Stat. Phys. 140, No. 3, 467-493 (2010). MSC: 82B41 60J65 60G55 PDF BibTeX XML Cite \textit{T. Alberts} and \textit{H. Duminil-Copin}, J. Stat. Phys. 140, No. 3, 467--493 (2010; Zbl 1197.82055) Full Text: DOI arXiv OpenURL
Yano, Kouji; Yano, Yuko; Yor, Marc Penalising symmetric stable Lévy paths. (English) Zbl 1180.60008 J. Math. Soc. Japan 61, No. 3, 757-798 (2009). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60B10 60G52 60G44 PDF BibTeX XML Cite \textit{K. Yano} et al., J. Math. Soc. Japan 61, No. 3, 757--798 (2009; Zbl 1180.60008) Full Text: DOI arXiv Link OpenURL
Davies, Ian M. Semiclassical analysis and a new result for Poisson-Lévy excursion measures. (English) Zbl 1197.60051 Electron. J. Probab. 13, 1283-1306 (2008). MSC: 60H10 41A60 60J75 PDF BibTeX XML Cite \textit{I. M. Davies}, Electron. J. Probab. 13, 1283--1306 (2008; Zbl 1197.60051) Full Text: DOI EuDML EMIS OpenURL
Zambotti, Lorenzo A conservative evolution of the Brownian excursion. (English) Zbl 1187.60063 Electron. J. Probab. 13, 1096-1119 (2008). MSC: 60J65 60G15 60H15 60H07 37L40 PDF BibTeX XML Cite \textit{L. Zambotti}, Electron. J. Probab. 13, 1096--1119 (2008; Zbl 1187.60063) Full Text: DOI arXiv EuDML EMIS OpenURL
Li, Zenghu; Wang, Hao; Xiong, Jie Conditional entrance laws for superprocesses with dependent spatial motion. (English) Zbl 1147.60055 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 11, No. 2, 259-278 (2008). MSC: 60J80 60G57 60J35 60H15 PDF BibTeX XML Cite \textit{Z. Li} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 11, No. 2, 259--278 (2008; Zbl 1147.60055) Full Text: DOI OpenURL
Croydon, David A. Volume growth and heat kernel estimates for the continuum random tree. (English) Zbl 1133.62066 Probab. Theory Relat. Fields 140, No. 1-2, 207-238 (2008). Reviewer: Wiesław Dziubdziela (Kielce) MSC: 62M05 60D05 60J35 62G07 60G57 60H25 PDF BibTeX XML Cite \textit{D. A. Croydon}, Probab. Theory Relat. Fields 140, No. 1--2, 207--238 (2008; Zbl 1133.62066) Full Text: DOI arXiv OpenURL
Zhou, Xiaowen Exit problems for spectrally negative Lévy processes reflected at either the supremum or the infimum. (English) Zbl 1132.60042 J. Appl. Probab. 44, No. 4, 1012-1030 (2007). MSC: 60G51 60B15 PDF BibTeX XML Cite \textit{X. Zhou}, J. Appl. Probab. 44, No. 4, 1012--1030 (2007; Zbl 1132.60042) Full Text: DOI Euclid OpenURL
Li, Zenghu; Xiong, Jie Continuous local time of a purely atomic immigration superprocess with dependent spatial motion. (English) Zbl 1128.60073 Stochastic Anal. Appl. 25, No. 6, 1273-1296 (2007). MSC: 60J80 60G57 60H20 PDF BibTeX XML Cite \textit{Z. Li} and \textit{J. Xiong}, Stochastic Anal. Appl. 25, No. 6, 1273--1296 (2007; Zbl 1128.60073) Full Text: DOI arXiv OpenURL
Labarbe, Jean-Maxime; Marckert, Jean-Francois Asymptotics of Bernoulli random walks, bridges, excursions and meanders with a given number of peaks. (English) Zbl 1128.60035 Electron. J. Probab. 12, 229-261 (2007). MSC: 60G50 60J65 60B10 PDF BibTeX XML Cite \textit{J.-M. Labarbe} and \textit{J.-F. Marckert}, Electron. J. Probab. 12, 229--261 (2007; Zbl 1128.60035) Full Text: DOI EuDML OpenURL
Evans, Steven N.; Pitman, Jim; Winter, Anita Rayleigh processes, real trees, and root growth with re-grafting. (English) Zbl 1086.60050 Probab. Theory Relat. Fields 134, No. 1, 81-126 (2006). Reviewer: Vladimir Vatutin (Moskva) MSC: 60J27 60B05 60B99 60J80 PDF BibTeX XML Cite \textit{S. N. Evans} et al., Probab. Theory Relat. Fields 134, No. 1, 81--126 (2006; Zbl 1086.60050) Full Text: DOI arXiv OpenURL
Serlet, Laure Super-Brownian motion conditioned on the total mass. (English) Zbl 1078.60072 Stochastic Processes Appl. 115, No. 11, 1782-1804 (2005). MSC: 60J80 60J25 60K35 60G57 PDF BibTeX XML Cite \textit{L. Serlet}, Stochastic Processes Appl. 115, No. 11, 1782--1804 (2005; Zbl 1078.60072) Full Text: DOI OpenURL
Rivero, Víctor Recurrent extensions of self-similar Markov processes and Cramér’s condition. (English) Zbl 1077.60055 Bernoulli 11, No. 3, 471-509 (2005). Reviewer: Gheorghe Oprişan (Bucureşti) MSC: 60J25 60G18 PDF BibTeX XML Cite \textit{V. Rivero}, Bernoulli 11, No. 3, 471--509 (2005; Zbl 1077.60055) Full Text: DOI OpenURL
Mörters, Peter; Vogt, Pascal A construction of catalytic super-Brownian motion via collision local time. (English) Zbl 1072.60070 Stochastic Processes Appl. 115, No. 1, 77-90 (2005). Reviewer: Aleksander Iksanov (Kiev) MSC: 60J80 60J55 60G57 PDF BibTeX XML Cite \textit{P. Mörters} and \textit{P. Vogt}, Stochastic Processes Appl. 115, No. 1, 77--90 (2005; Zbl 1072.60070) Full Text: DOI OpenURL
Dawson, Donald A.; Li, Zenghu Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions. (English) Zbl 1038.60082 Probab. Theory Relat. Fields 127, No. 1, 37-61 (2003). Reviewer: Louis G. Gorostiza (Mexico City) MSC: 60J80 60G57 60H20 PDF BibTeX XML Cite \textit{D. A. Dawson} and \textit{Z. Li}, Probab. Theory Relat. Fields 127, No. 1, 37--61 (2003; Zbl 1038.60082) Full Text: DOI arXiv OpenURL
Kallenberg, Olav Palm distributions and local approximation of regenerative processes. (English) Zbl 1022.60043 Probab. Theory Relat. Fields 125, No. 1, 1-41 (2003). Reviewer: Malcolm Quine (Sydney) MSC: 60G57 60K05 60J55 PDF BibTeX XML Cite \textit{O. Kallenberg}, Probab. Theory Relat. Fields 125, No. 1, 1--41 (2003; Zbl 1022.60043) Full Text: DOI OpenURL
Delmas, Jean-François Super-Brownian motion with a catalyst. (Super-mouvement Brownien avec catalyse.) (French) Zbl 0867.60056 Stochastics Stochastics Rep. 58, No. 3-4, 303-347 (1996). Reviewer: K.Fleischmann (Berlin) MSC: 60J80 60G57 PDF BibTeX XML Cite \textit{J.-F. Delmas}, Stochastics Stochastics Rep. 58, No. 3--4, 303--347 (1996; Zbl 0867.60056) Full Text: DOI OpenURL
Dawson, D. A.; Perkins, E. A. Measure-valued processes and stochastic partial differential equations. (English) Zbl 1205.60120 Carrell, James B. (ed.) et al., Canadian Mathematical Society 1945–1995. Vol. 3: Invited papers. Ottawa: Canadian Mathematical Society (ISBN 0-919558-08-9/hbk). 19-59 (1996). MSC: 60H15 60G57 PDF BibTeX XML Cite \textit{D. A. Dawson} and \textit{E. A. Perkins}, in: Canadian Mathematical Society 1945--1995. Vol. 3: Invited papers. Ottawa: Canadian Mathematical Society. 19--59 (1996; Zbl 1205.60120) OpenURL
Truman, Aubrey; Williams, David Images, reflections and excursions. (English) Zbl 0835.60069 Albeverio, S. (ed.) et al., Stochastic processes, physics and geometry II. Proceedings of the 3rd international conference held in Locarno, Switzerland, 24-29 June 1991. Singapore: World Scientific. 670-686 (1995). MSC: 60J60 60J65 PDF BibTeX XML Cite \textit{A. Truman} and \textit{D. Williams}, in: Stochastic processes, physics and geometry II. Proceedings of the 3rd international conference held in Locarno, Switzerland, 24-29 June 1991. Singapore: World Scientific. 670--686 (1995; Zbl 0835.60069) OpenURL
Fleischmann, Klaus; Le Gall, Jean-François A new approach to the single point catalytic super-Brownian motion. (English) Zbl 0824.60090 Probab. Theory Relat. Fields 102, No. 1, 63-82 (1995). MSC: 60J80 60G57 60J55 PDF BibTeX XML Cite \textit{K. Fleischmann} and \textit{J.-F. Le Gall}, Probab. Theory Relat. Fields 102, No. 1, 63--82 (1995; Zbl 0824.60090) Full Text: DOI OpenURL
Aldous, David Recursive self-similarity for random trees, random triangulations and Brownian excursion. (English) Zbl 0808.60017 Ann. Probab. 22, No. 2, 527-545 (1994). Reviewer: L.Holst (Stockholm) MSC: 60C05 60B10 60J65 PDF BibTeX XML Cite \textit{D. Aldous}, Ann. Probab. 22, No. 2, 527--545 (1994; Zbl 0808.60017) Full Text: DOI OpenURL
Aldous, David The continuum random tree. III. (English) Zbl 0791.60009 Ann. Probab. 21, No. 1, 248-289 (1993). MSC: 60C05 60B10 60J80 05C05 05C80 PDF BibTeX XML Cite \textit{D. Aldous}, Ann. Probab. 21, No. 1, 248--289 (1993; Zbl 0791.60009) Full Text: DOI OpenURL
Truman, Aubrey; Williams, David Excursions and Itô calculus in Nelson’s stochastic mechanics. (English) Zbl 0726.60103 Recent developments in quantum mechanics, Proc. Conf., Braşov/Rom. 1989, Math. Phys. Stud. 12, 49-83 (1991). MSC: 60K35 60J55 82B31 60H10 PDF BibTeX XML OpenURL
Hawkes, J.; Truman, A. Statistics of local time and excursions for the Ornstein-Uhlenbeck process. (English) Zbl 0739.60070 Stochastic analysis, Proc. Symp., Durham/UK 1990, Lond. Math. Soc. Lect. Note Ser. 167, 91-101 (1991). Reviewer: D.Jarušková (Praha) MSC: 60J60 60J55 60H10 PDF BibTeX XML Cite \textit{J. Hawkes} and \textit{A. Truman}, Lond. Math. Soc. Lect. Note Ser. None, 91--101 (1991; Zbl 0739.60070) OpenURL
Szubarga, Antoni Weak convergence to Brownian excursion. (English) Zbl 0678.60031 Yokohama Math. J. 36, No. 2, 87-90 (1989). Reviewer: J.Kent MSC: 60F17 60J65 60B10 PDF BibTeX XML Cite \textit{A. Szubarga}, Yokohama Math. J. 36, No. 2, 87--90 (1989; Zbl 0678.60031) OpenURL
Wilson, Richard J. Model fields in crossing theory: A weak convergence perspective. (English) Zbl 0663.60041 Adv. Appl. Probab. 20, No. 4, 756-774 (1988). Reviewer: Ph.Nobelis MSC: 60G60 60G15 60F05 PDF BibTeX XML Cite \textit{R. J. Wilson}, Adv. Appl. Probab. 20, No. 4, 756--774 (1988; Zbl 0663.60041) Full Text: DOI OpenURL
Sharpe, Michael General theory of Markov processes. (English) Zbl 0649.60079 Pure and Applied Mathematics, 133. Boston, MA: Academic Press, Inc. xi, 419 p. $ 49.50 (1988). Reviewer: P.A.Meyer MSC: 60J25 60-02 60J40 60J45 PDF BibTeX XML Cite \textit{M. Sharpe}, General theory of Markov processes. Boston, MA: Academic Press, Inc. (1988; Zbl 0649.60079) OpenURL
Blumenthal, R. M. Weak convergence to Brownian excursion. (English) Zbl 0515.60081 Ann. Probab. 11, 798-800 (1983). MSC: 60J65 60B10 60J35 PDF BibTeX XML Cite \textit{R. M. Blumenthal}, Ann. Probab. 11, 798--800 (1983; Zbl 0515.60081) Full Text: DOI OpenURL
Rogers, L. C. G. Williams’ characterisation of the Brownian excursion law: Proof and applications. (English) Zbl 0462.60078 Seminaire de probabilites XV, Univ. Strasbourg 1979/80, Lect. Notes Math. 850, 227-250 (1981). MSC: 60J65 60J55 60G57 PDF BibTeX XML Full Text: Numdam EuDML OpenURL
Vervaat, Wim A relation between Brownian bridge and Brownian excursion. (English) Zbl 0392.60058 Ann. Probab. 7, 143-149 (1979). MSC: 60J65 60B10 60C05 PDF BibTeX XML Cite \textit{W. Vervaat}, Ann. Probab. 7, 143--149 (1979; Zbl 0392.60058) Full Text: DOI OpenURL