Hraivoronska, Anastasiia; Tse, Oliver Diffusive limit of random walks on tessellations via generalized gradient flows. (English) Zbl 07723844 SIAM J. Math. Anal. 55, No. 4, 2948-2995 (2023). MSC: 35A15 35A35 35K10 52C22 60G50 60J27 60J60 PDF BibTeX XML Cite \textit{A. Hraivoronska} and \textit{O. Tse}, SIAM J. Math. Anal. 55, No. 4, 2948--2995 (2023; Zbl 07723844) Full Text: DOI arXiv
Klatt, Michael Andreas; Last, Günter On strongly rigid hyperfluctuating random measures. (English) Zbl 1501.60011 J. Appl. Probab. 59, No. 4, 948-961 (2022). MSC: 60D05 60G55 60G57 PDF BibTeX XML Cite \textit{M. A. Klatt} and \textit{G. Last}, J. Appl. Probab. 59, No. 4, 948--961 (2022; Zbl 1501.60011) Full Text: DOI arXiv
Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph The \(\beta \)-Delaunay tessellation. II: the Gaussian limit tessellation. (English) Zbl 1491.60019 Electron. J. Probab. 27, Paper No. 62, 33 p. (2022). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 60D05 52A22 60G55 60F17 PDF BibTeX XML Cite \textit{A. Gusakova} et al., Electron. J. Probab. 27, Paper No. 62, 33 p. (2022; Zbl 1491.60019) Full Text: DOI arXiv
Godland, Thomas; Kabluchko, Zakhar Conical tessellations associated with Weyl chambers. (English) Zbl 1473.52009 Trans. Am. Math. Soc. 374, No. 10, 7161-7196 (2021). MSC: 52A22 60D05 52A55 51F15 52C35 PDF BibTeX XML Cite \textit{T. Godland} and \textit{Z. Kabluchko}, Trans. Am. Math. Soc. 374, No. 10, 7161--7196 (2021; Zbl 1473.52009) Full Text: DOI arXiv
Dirksen, Sjoerd; Mendelson, Shahar Non-Gaussian hyperplane tessellations and robust one-bit compressed sensing. (English) Zbl 1491.60018 J. Eur. Math. Soc. (JEMS) 23, No. 9, 2913-2947 (2021). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 60B20 94A12 PDF BibTeX XML Cite \textit{S. Dirksen} and \textit{S. Mendelson}, J. Eur. Math. Soc. (JEMS) 23, No. 9, 2913--2947 (2021; Zbl 1491.60018) Full Text: DOI arXiv
Chenavier, Nicolas; Nagel, Werner The largest order statistics for the inradius in an isotropic STIT tessellation. (English) Zbl 1427.60022 Extremes 22, No. 4, 571-598 (2019). MSC: 60D05 60G70 60F05 62G32 PDF BibTeX XML Cite \textit{N. Chenavier} and \textit{W. Nagel}, Extremes 22, No. 4, 571--598 (2019; Zbl 1427.60022) Full Text: DOI arXiv
Figliuzzi, Bruno Eikonal-based models of random tessellations. (English) Zbl 1432.52008 Image Anal. Stereol. 38, No. 1, 15-23 (2019). MSC: 52A22 PDF BibTeX XML Cite \textit{B. Figliuzzi}, Image Anal. Stereol. 38, No. 1, 15--23 (2019; Zbl 1432.52008) Full Text: DOI
Chapuy, Guillaume On tessellations of random maps and the \(t_g\)-recurrence. (English) Zbl 1427.60021 Probab. Theory Relat. Fields 174, No. 1-2, 477-500 (2019). MSC: 60D05 05B45 PDF BibTeX XML Cite \textit{G. Chapuy}, Probab. Theory Relat. Fields 174, No. 1--2, 477--500 (2019; Zbl 1427.60021) Full Text: DOI arXiv
Lachièze-Rey, Raphaël; Peccati, Giovanni New Berry-Esseen bounds for functionals of binomial point processes. (English) Zbl 1374.60023 Ann. Appl. Probab. 27, No. 4, 1992-2031 (2017). MSC: 60F05 60K35 60D05 PDF BibTeX XML Cite \textit{R. Lachièze-Rey} and \textit{G. Peccati}, Ann. Appl. Probab. 27, No. 4, 1992--2031 (2017; Zbl 1374.60023) Full Text: DOI arXiv Euclid
Klatt, Michael A.; Last, Günter; Mecke, Klaus; Redenbach, Claudia; Schaller, Fabian M.; Schröder-Turk, Gerd E. Cell shape analysis of random tessellations based on Minkowski tensors. (English) Zbl 1368.60101 Vedel Jensen, Eva B. (ed.) et al., Tensor valuations and their applications in stochastic geometry and imaging. Based on the presentations at the workshop, Sandbjerg Manor, Denmark, September 21–26, 2014. Cham: Springer (ISBN 978-3-319-51950-0/pbk; 978-3-319-51951-7/ebook). Lecture Notes in Mathematics 2177, 385-421 (2017). MSC: 60K35 60D05 60G55 65C20 PDF BibTeX XML Cite \textit{M. A. Klatt} et al., Lect. Notes Math. 2177, 385--421 (2017; Zbl 1368.60101) Full Text: DOI arXiv
Deuss, Christian; Hörrmann, Julia; Thäle, Christoph A random cell splitting scheme on the sphere. (English) Zbl 1366.52006 Stochastic Processes Appl. 127, No. 5, 1544-1564 (2017). MSC: 52A22 52A55 53C65 60D05 60G55 PDF BibTeX XML Cite \textit{C. Deuss} et al., Stochastic Processes Appl. 127, No. 5, 1544--1564 (2017; Zbl 1366.52006) Full Text: DOI arXiv
Spettl, Aaron Matthias Stochastic simulation models for the 3D microstructure of densely packed particle systems. (English) Zbl 1388.60008 Ulm: Univ. Ulm, Fakultät für Mathematik und Wirtschaftswissenschaften (Diss.). xiii, 235 p. (2016). MSC: 60-02 82-02 60K35 82C22 82D80 PDF BibTeX XML Cite \textit{A. M. Spettl}, Stochastic simulation models for the 3D microstructure of densely packed particle systems. Ulm: Univ. Ulm, Fakultät für Mathematik und Wirtschaftswissenschaften (Diss.) (2016; Zbl 1388.60008)
Rivin, Igor Spectral experiments+. (English) Zbl 1375.60025 Exp. Math. 25, No. 4, 379-388 (2016). MSC: 60B20 60D05 05C80 82B41 PDF BibTeX XML Cite \textit{I. Rivin}, Exp. Math. 25, No. 4, 379--388 (2016; Zbl 1375.60025) Full Text: DOI arXiv Backlinks: MO
Martínez, S.; Nagel, W. The \(\beta\)-mixing rate of STIT tessellations. (English) Zbl 1344.60016 Stochastics 88, No. 3, 396-414 (2016). MSC: 60D05 60J25 60J75 37A25 PDF BibTeX XML Cite \textit{S. Martínez} and \textit{W. Nagel}, Stochastics 88, No. 3, 396--414 (2016; Zbl 1344.60016) Full Text: DOI arXiv
Nguyen, Linh Ngoc; Weiss, Viola; Cowan, Richard Column tessellations. (English) Zbl 1393.60017 Image Anal. Stereol. 34, No. 2, 87-100 (2015). MSC: 60D05 05B45 PDF BibTeX XML Cite \textit{L. N. Nguyen} et al., Image Anal. Stereol. 34, No. 2, 87--100 (2015; Zbl 1393.60017) Full Text: DOI arXiv
Martínez, S.; Nagel, W. STIT process and trees. (English) Zbl 1386.60045 Markov Process. Relat. Fields 21, No. 4, 847-868 (2015). MSC: 60D05 60J25 60J75 05C05 PDF BibTeX XML Cite \textit{S. Martínez} and \textit{W. Nagel}, Markov Process. Relat. Fields 21, No. 4, 847--868 (2015; Zbl 1386.60045) Full Text: arXiv
Chenavier, Nicolas The extremal index for a random tessellation. (English) Zbl 1396.60010 Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 171-178 (2015). MSC: 60D05 52A22 94A15 PDF BibTeX XML Cite \textit{N. Chenavier}, Lect. Notes Comput. Sci. 9389, 171--178 (2015; Zbl 1396.60010) Full Text: DOI
Redenbach, Claudia; Liebscher, André Random tessellations and their application to the modelling of cellular materials. (English) Zbl 1366.60031 Schmidt, Volker (ed.), Stochastic geometry, spatial statistics and random fields. Models and algorithms. Selected papers based on the presentations at the summer academy on stochastic analysis, modelling and simulation of complex structures, Söllerhaus, Hirschegg, Germany, September 11–24, 2011. Cham: Springer (ISBN 978-3-319-10063-0/pbk; 978-3-319-10064-7/ebook). Lecture Notes in Mathematics 2120, 73-93 (2015). MSC: 60D05 52C22 74E30 74E35 PDF BibTeX XML Cite \textit{C. Redenbach} and \textit{A. Liebscher}, Lect. Notes Math. 2120, 73--93 (2015; Zbl 1366.60031) Full Text: DOI
Nagel, Werner; Biehler, Eike Consistency of constructions for cell division processes. (English) Zbl 1366.60030 Adv. Appl. Probab. 47, No. 3, 640-651 (2015). MSC: 60D05 60J75 PDF BibTeX XML Cite \textit{W. Nagel} and \textit{E. Biehler}, Adv. Appl. Probab. 47, No. 3, 640--651 (2015; Zbl 1366.60030) Full Text: DOI arXiv
Anantharam, Venkat; Baccelli, François Capacity and error exponents of stationary point processes under random additive displacements. (English) Zbl 1318.60055 Adv. Appl. Probab. 47, No. 1, 1-26 (2015). MSC: 60G55 60G10 60D05 60F10 94A15 PDF BibTeX XML Cite \textit{V. Anantharam} and \textit{F. Baccelli}, Adv. Appl. Probab. 47, No. 1, 1--26 (2015; Zbl 1318.60055) Full Text: DOI arXiv Euclid
Cowan, Richard; Thäle, Christoph The character of planar tessellations which are not side-to-side. (English) Zbl 1356.52010 Image Anal. Stereol. 33, No. 1, 39-54 (2014). MSC: 52C20 05B45 PDF BibTeX XML Cite \textit{R. Cowan} and \textit{C. Thäle}, Image Anal. Stereol. 33, No. 1, 39--54 (2014; Zbl 1356.52010) Full Text: DOI
Calka, Pierre; Chenavier, Nicolas Extreme values for characteristic radii of a Poisson-Voronoi tessellation. (English) Zbl 1316.60021 Extremes 17, No. 3, 359-385 (2014). MSC: 60D05 62G32 60F05 52A22 PDF BibTeX XML Cite \textit{P. Calka} and \textit{N. Chenavier}, Extremes 17, No. 3, 359--385 (2014; Zbl 1316.60021) Full Text: DOI arXiv
Martínez, Servet; Nagel, Werner STIT tessellations have trivial tail {\(\sigma\)}-algebra. (English) Zbl 1315.60018 Adv. Appl. Probab. 46, No. 3, 643-660 (2014). MSC: 60D05 05B45 60J25 60J75 37A25 PDF BibTeX XML Cite \textit{S. Martínez} and \textit{W. Nagel}, Adv. Appl. Probab. 46, No. 3, 643--660 (2014; Zbl 1315.60018) Full Text: DOI arXiv Euclid
Chenavier, Nicolas A general study of extremes of stationary tessellations with examples. (English) Zbl 1359.60023 Stochastic Processes Appl. 124, No. 9, 2917-2953 (2014). MSC: 60D05 60G55 60F05 60G70 PDF BibTeX XML Cite \textit{N. Chenavier}, Stochastic Processes Appl. 124, No. 9, 2917--2953 (2014; Zbl 1359.60023) Full Text: DOI arXiv
Chiu, Sung Nok; Stoyan, Dietrich; Kendall, Wilfrid S.; Mecke, Joseph Stochastic geometry and its applications. 3rd revised and extended ed. (English) Zbl 1291.60005 Wiley Series in Probability and Statistics. Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-66481-0/hbk). xxvi, 544 p. (2013). Reviewer: Ilya S. Molchanov (Bern) MSC: 60-02 60D05 62M30 60G55 PDF BibTeX XML Cite \textit{S. N. Chiu} et al., Stochastic geometry and its applications. 3rd revised and extended ed. Hoboken, NJ: John Wiley \& Sons (2013; Zbl 1291.60005)
Hug, Daniel Random polytopes. (English) Zbl 1275.60017 Spodarev, Evgeny (ed.), Stochastic geometry, spatial statistics and random fields. Asymptotic methods. Selected papers based on the presentations at the summer academy on stochastic geometry, spatial statistics and random fields, Söllerhaus, Germany, September 13–26, 2009. Berlin: Springer (ISBN 978-3-642-33304-0/pbk; 978-3-642-33305-7/ebook). Lecture Notes in Mathematics 2068, 205-238 (2013). Reviewer: Andrew Wade (Durham) MSC: 60D05 PDF BibTeX XML Cite \textit{D. Hug}, Lect. Notes Math. 2068, 205--238 (2013; Zbl 1275.60017) Full Text: DOI
Martínez, S.; Nagel, W. Ergodic description of STIT tessellations. (English) Zbl 1262.60014 Stochastics 84, No. 1, 113-134 (2012). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 60J25 60J75 37A35 PDF BibTeX XML Cite \textit{S. Martínez} and \textit{W. Nagel}, Stochastics 84, No. 1, 113--134 (2012; Zbl 1262.60014) Full Text: DOI arXiv
Dereudre, David; Lavancier, Frédéric Practical simulation and estimation for Gibbs Delaunay-Voronoi tessellations with geometric hardcore interaction. (English) Zbl 1247.65015 Comput. Stat. Data Anal. 55, No. 1, 498-519 (2011). MSC: 65D17 62-07 PDF BibTeX XML Cite \textit{D. Dereudre} and \textit{F. Lavancier}, Comput. Stat. Data Anal. 55, No. 1, 498--519 (2011; Zbl 1247.65015) Full Text: DOI arXiv
Mecke, J.; Nagel, W.; Weiß, V. Some distributions for I-segments of planar random homogeneous STIT tessellations. (English) Zbl 1226.60015 Math. Nachr. 284, No. 11-12, 1483-1495 (2011). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 60G55 PDF BibTeX XML Cite \textit{J. Mecke} et al., Math. Nachr. 284, No. 11--12, 1483--1495 (2011; Zbl 1226.60015) Full Text: DOI
Calka, Pierre Tessellations. (English) Zbl 1201.60011 Kendall, Wilfrid S. (ed.) et al., New perspectives in stochastic geometry. Oxford: Oxford University Press (ISBN 978-0-19-923257-4/hbk). 145-169 (2010). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 60D05 52A40 52A20 52A22 PDF BibTeX XML Cite \textit{P. Calka}, in: New perspectives in stochastic geometry. Oxford: Oxford University Press. 145--169 (2010; Zbl 1201.60011)
Mecke, J. Joint distribution of direction and length of typical I-segment in a homogeneous random planar tessellation stable under iteration. (English) Zbl 1302.60027 J. Contemp. Math. Anal., Armen. Acad. Sci. 44, No. 1, 45-53 (2009) and Izv. Nats. Akad. Nauk Armen., Mat. 44, No. 1, 73-84 (2009). MSC: 60D05 52A22 52C20 PDF BibTeX XML Cite \textit{J. Mecke}, J. Contemp. Math. Anal., Armen. Acad. Sci. 44, No. 1, 45--53 (2009; Zbl 1302.60027) Full Text: DOI
Voss, Florian; Gloaguen, Catherine; Schmidt, Volker Capacity distributions in spatial stochastic models for telecommunication networks. (English) Zbl 1235.94013 Image Anal. Stereol. 28, No. 3, 155-163 (2009). MSC: 94A05 60D05 60G55 60K99 PDF BibTeX XML Cite \textit{F. Voss} et al., Image Anal. Stereol. 28, No. 3, 155--163 (2009; Zbl 1235.94013) Full Text: DOI
Lautensack, Claudia; Zuyev, Sergei Random Laguerre tessellations. (English) Zbl 1154.60011 Adv. Appl. Probab. 40, No. 3, 630-650 (2008). Reviewer: Viktor Oganyan (Erevan) MSC: 60D05 60G55 62M30 05B45 52A22 62H11 PDF BibTeX XML Cite \textit{C. Lautensack} and \textit{S. Zuyev}, Adv. Appl. Probab. 40, No. 3, 630--650 (2008; Zbl 1154.60011) Full Text: DOI
Schneider, Rolf Recent results on random polytopes. (English) Zbl 1206.52011 Boll. Unione Mat. Ital. (9) 1, No. 1, 17-39 (2008). Reviewer: Viktor Ohanyan (Erevan) MSC: 52A22 60D05 53C65 52A23 52A27 PDF BibTeX XML Cite \textit{R. Schneider}, Boll. Unione Mat. Ital. (9) 1, No. 1, 17--39 (2008; Zbl 1206.52011)
Mecke, Joseph; Nagel, Werner; Weiss, Viola The iteration of random tessellations and a construction of a homogeneous process of cell divisions. (English) Zbl 1138.60013 Adv. Appl. Probab. 40, No. 1, 49-59 (2008). MSC: 60D05 60G55 PDF BibTeX XML Cite \textit{J. Mecke} et al., Adv. Appl. Probab. 40, No. 1, 49--59 (2008; Zbl 1138.60013) Full Text: DOI
Mecke, J.; Nagel, W.; Weiss, V. A global construction of homogeneous random planar tessellations that are stable under iteration. (English) Zbl 1139.60011 Stochastics 80, No. 1, 51-67 (2008). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 60G55 52A22 PDF BibTeX XML Cite \textit{J. Mecke} et al., Stochastics 80, No. 1, 51--67 (2008; Zbl 1139.60011) Full Text: DOI
Mecke, J.; Nagel, W.; Weiss, V. Length distributions of edges in planar stationary and isotropic STIT tessellations. (English. Russian original) Zbl 1155.60005 J. Contemp. Math. Anal., Armen. Acad. Sci. 42, No. 1, 28-43 (2007); translation from Izv. Nats. Akad. Nauk Armen., Mat. 42, No. 1, 39-60 (2007). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 52A22 PDF BibTeX XML Cite \textit{J. Mecke} et al., J. Contemp. Math. Anal., Armen. Acad. Sci. 42, No. 1, 28--43 (2007; Zbl 1155.60005); translation from Izv. Nats. Akad. Nauk Armen., Mat. 42, No. 1, 39--60 (2007) Full Text: DOI
Beil, Michael; Eckel, Stefanie; Fleischer, Frank; Schmidt, Hendrik; Schmidt, Volker; Walther, Paul Fitting of random tessellation models to keratin filament networks. (English) Zbl 1447.92116 J. Theor. Biol. 241, No. 1, 62-72 (2006). MSC: 92C37 60D05 PDF BibTeX XML Cite \textit{M. Beil} et al., J. Theor. Biol. 241, No. 1, 62--72 (2006; Zbl 1447.92116) Full Text: DOI
Nagel, Werner; Weiss, Viola Crack STIT tessellations: characterization of stationary random tessellations stable with respect to iteration. (English) Zbl 1098.60012 Adv. Appl. Probab. 37, No. 4, 859-883 (2005). Reviewer: Viktor Oganyan (Erevan) MSC: 60D05 60G55 52A22 PDF BibTeX XML Cite \textit{W. Nagel} and \textit{V. Weiss}, Adv. Appl. Probab. 37, No. 4, 859--883 (2005; Zbl 1098.60012) Full Text: DOI
Bartholdi, Laurent Cactus trees and lower bounds on the spectral radius of vertex-transitive graphs. (English) Zbl 1103.60048 Kaimanovich, Vadim A. (ed.), Random walks and geometry. Proceedings of a workshop at the Erwin Schrödinger Institute, Vienna, June 18 – July 13, 2001. In collaboration with Klaus Schmidt and Wolfgang Woess. Collected papers. Berlin: de Gruyter (ISBN 3-11-017237-2/hbk). 349-361 (2004). MSC: 60G50 05C25 20F65 60C05 20F69 05C38 20F05 PDF BibTeX XML Cite \textit{L. Bartholdi}, in: Random walks and geometry. Proceedings of a workshop at the Erwin Schrödinger Institute, Vienna, June 18 -- July 13, 2001. In collaboration with Klaus Schmidt and Wolfgang Woess. Collected papers. Berlin: de Gruyter. 349--361 (2004; Zbl 1103.60048) Full Text: arXiv
Nagel, Werner; Weiss, Viola Limits of sequences of stationary planar tessellations. (English) Zbl 1023.60015 Adv. Appl. Probab. 35, No. 1, 123-138 (2003). Reviewer: Ilya S.Molchanov (Bern) MSC: 60D05 60G55 PDF BibTeX XML Cite \textit{W. Nagel} and \textit{V. Weiss}, Adv. Appl. Probab. 35, No. 1, 123--138 (2003; Zbl 1023.60015) Full Text: DOI
Fomin, A. Yu. Regression in the space of ordered partitions of a finite set. (Russian. English summary) Zbl 1026.60007 Vorob’ëv, O. Yu. (ed.), Proceedings of the first All-Russian FAM 2002 conference on financial and actuarial mathematics and related fields, Krasnoyarsk, Russia, 2002. Part I. Krasnoyarsk: Krasnoyarskoe Knizhnoe Izdatel’stvo. 282-287 (2002). MSC: 60D05 60C05 PDF BibTeX XML Cite \textit{A. Yu. Fomin}, in: Trudy pervoj vserossijskoj FAM 2002 konferentsii po finansovo-aktuarnoj matematiki i smezhnym voprosam, Krasnoyarsk, Russia, 2002. Chast' I. Krasnoyarsk: Krasnoyarskoe Knizhnoe Izdatel'stvo; Krasnoyarsk: Institut Vychislitel'nogo Modelirovaniya SO RAN. 282--287 (2002; Zbl 1026.60007)
Burger, Martin; Capasso, Vincenzo; Micheletti, Alessandra Mathematical modelling of the crystallization process of polymers. (English) Zbl 1023.82014 HERMIS-\(\mu\pi\) 3, 135-163 (2002). MSC: 82D60 82B26 60K40 PDF BibTeX XML Cite \textit{M. Burger} et al., HERMIS-\(\mu\pi\) 3, 135--163 (2002; Zbl 1023.82014)
Bartholdi, Laurent; Ceccherini-Silberstein, Tullio G. Growth series and random walks on some hyperbolic graphs. (English) Zbl 1059.20035 Monatsh. Math. 136, No. 3, 181-202 (2002). MSC: 20F65 20F05 05C25 60B15 60G50 68Q42 68Q45 20E06 PDF BibTeX XML Cite \textit{L. Bartholdi} and \textit{T. G. Ceccherini-Silberstein}, Monatsh. Math. 136, No. 3, 181--202 (2002; Zbl 1059.20035) Full Text: DOI arXiv
Korobov, A. Solid state reaction kinetics: Structure of the simplest rate-time curve in terms of random tessellations. (English) Zbl 0959.92031 J. Math. Chem. 25, No. 4, 365-382 (1999). MSC: 92E20 PDF BibTeX XML Cite \textit{A. Korobov}, J. Math. Chem. 25, No. 4, 365--382 (1999; Zbl 0959.92031) Full Text: DOI
Heikkinen, Juha; Arjas, Elja Non-parametric Bayesian estimation of a spatial Poisson intensity. (English) Zbl 0921.62034 Scand. J. Stat. 25, No. 3, 435-450 (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 62G05 62G09 60G55 PDF BibTeX XML Cite \textit{J. Heikkinen} and \textit{E. Arjas}, Scand. J. Stat. 25, No. 3, 435--450 (1998; Zbl 0921.62034) Full Text: DOI
Howard, C. Douglas; Newman, Charles M. Euclidean models of first-passage percolation. (English) Zbl 0883.60091 Probab. Theory Relat. Fields 108, No. 2, 153-170 (1997). MSC: 60K35 60G55 60D05 82D30 PDF BibTeX XML Cite \textit{C. D. Howard} and \textit{C. M. Newman}, Probab. Theory Relat. Fields 108, No. 2, 153--170 (1997; Zbl 0883.60091) Full Text: DOI
Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A. The large-scale structure of the universe and quasi-Voronoi tessellation of shock fronts in forced Burgers turbulence in \(\mathbb{R}^d\). (English) Zbl 0895.60066 Ann. Appl. Probab. 7, No. 1, 200-228 (1997). MSC: 60H15 60G60 60K40 70K40 76L05 83F05 35Q53 PDF BibTeX XML Cite \textit{S. A. Molchanov} et al., Ann. Appl. Probab. 7, No. 1, 200--228 (1997; Zbl 0895.60066) Full Text: DOI
Mackisack, Margaret S.; Miles, Roger E. Homogeneous rectangular tessellations. (English) Zbl 0872.60011 Adv. Appl. Probab. 28, No. 4, 993-1013 (1996). MSC: 60D05 65C20 PDF BibTeX XML Cite \textit{M. S. Mackisack} and \textit{R. E. Miles}, Adv. Appl. Probab. 28, No. 4, 993--1013 (1996; Zbl 0872.60011) Full Text: DOI
Chiu, Sung Nok Neighbourhood relations, sections and completion times for random tessellation. (English) Zbl 0878.60005 Freiberg: TU Bergakad. Freiberg, v, 93 p. (1995). Reviewer: A.Andzans (Riga) MSC: 60D05 68Q80 PDF BibTeX XML Cite \textit{S. N. Chiu}, Neighbourhood relations, sections and completion times for random tessellation. Freiberg: TU Bergakad. Freiberg (1995; Zbl 0878.60005)
Mecke, Joseph; Muche, Lutz The Poisson Voronoi tessellation. I: A basic identity. (English) Zbl 0839.60017 Math. Nachr. 176, 199-208 (1995). Reviewer: L.Heinrich (Freiberg) MSC: 60D05 60G55 60G60 60E05 PDF BibTeX XML Cite \textit{J. Mecke} and \textit{L. Muche}, Math. Nachr. 176, 199--208 (1995; Zbl 0839.60017) Full Text: DOI
Stoyan, Dietrich; Kendall, Wilfrid S.; Mecke, Joseph Stochastic geometry and its applications. 2nd ed. (English) Zbl 0838.60002 Wiley Series in Probability and Mathematical Statistics. Chichester: John Wiley & Sons Ltd. xix, 436 p. (1995). Reviewer: N.Semejko (Kiev) MSC: 60-02 60G55 60D05 60G57 52A22 62M99 PDF BibTeX XML Cite \textit{D. Stoyan} et al., Stochastic geometry and its applications. 2nd ed. Chichester: John Wiley \& Sons Ltd. (1995; Zbl 0838.60002)
Møller, Jesper Generation of Johnson-Mehl crystals and comparative analysis of models for random nucleation. (English) Zbl 0826.60007 Adv. Appl. Probab. 27, No. 2, 367-383 (1995). Reviewer: B.K.Horkelheimer (Clayton) MSC: 60D05 60G55 PDF BibTeX XML Cite \textit{J. Møller}, Adv. Appl. Probab. 27, No. 2, 367--383 (1995; Zbl 0826.60007) Full Text: DOI
Chiu, S. N. Mean-value formulae for the neighbourhood of the typical cell of a random tessellation. (English) Zbl 0803.60009 Adv. Appl. Probab. 26, No. 3, 565-576 (1994). MSC: 60D05 82D25 PDF BibTeX XML Cite \textit{S. N. Chiu}, Adv. Appl. Probab. 26, No. 3, 565--576 (1994; Zbl 0803.60009) Full Text: DOI
Møller, Jesper Lectures on random Voronoi tessellations. (English) Zbl 0812.60016 Lecture Notes in Statistics (Springer). 87. New York, NY: Springer- Verlag. 134 p. (1994). Reviewer: I.S.Molchanov (Amsterdam) MSC: 60D05 60-02 60G55 PDF BibTeX XML Cite \textit{J. Møller}, Lectures on random Voronoi tessellations. New York, NY: Springer-Verlag (1994; Zbl 0812.60016)
Fallert, Hermann Intensity measures and quermass-densities for (nonstationary) random sets and geometric point processes. (Intensitätsmaße und Quermaßdichten für (nichtstationäre) zufällige Mengen und geometrische Punktprozesse.) (German) Zbl 0802.60014 Karlsruhe: Univ. Karlsruhe, Fak. f. Math. 116 S. (1992). Reviewer: L.Heinrich (Freiberg) MSC: 60D05 60G55 52A22 PDF BibTeX XML Cite \textit{H. Fallert}, Intensitätsmaße und Quermaßdichten für (nichtstationäre) zufällige Mengen und geometrische Punktprozesse. Karlsruhe: Univ. Karlsruhe, Fak. f. Math. (1992; Zbl 0802.60014)
Meer, Peter; Rosenfeld, Azriel Generation of random planar tessellations by hierarchical decimation. (English) Zbl 0769.68125 Lindenmayer systems. Impacts on theoretical computer science, computer graphics, and developmental biology, 263-268 (1992). MSC: 68U10 PDF BibTeX XML Cite \textit{P. Meer} and \textit{A. Rosenfeld}, in: Lindenmayer systems. Impacts on theoretical computer science, computer graphics, and developmental biology. Berlin etc.: Springer-Verlag. 263--268 (1992; Zbl 0769.68125)
Baddeley, Adrian; Møller, Jesper Nearest-neighbour Markov point processes and random sets. (English) Zbl 0721.60010 Int. Stat. Rev. 57, No. 2, 89-121 (1989). MSC: 60D05 60G55 60J99 PDF BibTeX XML Cite \textit{A. Baddeley} and \textit{J. Møller}, Int. Stat. Rev. 57, No. 2, 89--121 (1989; Zbl 0721.60010) Full Text: DOI
Ostoja-Starzewski, M.; Wang, C. Linear elasticity of planar Delaunay networks: Random field characterization of effective moduli. (English) Zbl 0711.73275 Acta Mech. 80, No. 1-2, 61-80 (1989). MSC: 74S30 74A40 74K10 05B45 05C80 PDF BibTeX XML Cite \textit{M. Ostoja-Starzewski} and \textit{C. Wang}, Acta Mech. 80, No. 1--2, 61--80 (1989; Zbl 0711.73275) Full Text: DOI
Møller, J. Random tessellations in \({\mathbb{R}}^ d\). (English) Zbl 0684.60007 Adv. Appl. Probab. 21, No. 1, 37-73 (1989). Reviewer: J.S.Müller MSC: 60D05 PDF BibTeX XML Cite \textit{J. Møller}, Adv. Appl. Probab. 21, No. 1, 37--73 (1989; Zbl 0684.60007) Full Text: DOI
Zähle, M. Random cell complexes and generalised sets. (English) Zbl 0656.60024 Ann. Probab. 16, No. 4, 1742-1766 (1988). Reviewer: M.Zähle MSC: 60D05 60G55 58A25 PDF BibTeX XML Cite \textit{M. Zähle}, Ann. Probab. 16, No. 4, 1742--1766 (1988; Zbl 0656.60024) Full Text: DOI
Mecke, J. An isoperimetric inequality for random quadrangle tessellations. (English) Zbl 0649.60011 Statistics 19, No. 1, 57-65 (1988). Reviewer: W.Weil MSC: 60D05 52A40 PDF BibTeX XML Cite \textit{J. Mecke}, Statistics 19, No. 1, 57--65 (1988; Zbl 0649.60011) Full Text: DOI
Kendall, Wilfrid S.; Mecke, Joseph The range of the mean-value quantities of planar tessellations. (English) Zbl 0624.60018 J. Appl. Probab. 24, 411-421 (1987). Reviewer: V.Oganyan MSC: 60D05 60G55 52A22 PDF BibTeX XML Cite \textit{W. S. Kendall} and \textit{J. Mecke}, J. Appl. Probab. 24, 411--421 (1987; Zbl 0624.60018) Full Text: DOI
Stoyan, D.; Hermann, H. Some methods for statistical analysis of planar random tessellations. (English) Zbl 0614.60016 Statistics 17, 407-420 (1986). MSC: 60D05 52C17 60G55 62M99 PDF BibTeX XML Cite \textit{D. Stoyan} and \textit{H. Hermann}, Statistics 17, 407--420 (1986; Zbl 0614.60016) Full Text: DOI
Davy, Pamela J. Probability models for liberation. (English) Zbl 0567.60011 J. Appl. Probab. 21, 260-269 (1984). Reviewer: R.Ambartzumian MSC: 60D05 PDF BibTeX XML Cite \textit{P. J. Davy}, J. Appl. Probab. 21, 260--269 (1984; Zbl 0567.60011) Full Text: DOI
Mecke, Joseph Random tesselations generated by hyperplanes. (English) Zbl 0563.60011 Stochastic geometry, geometric statistics, stereology, Proc. Conf., Oberwolfach 1983, Teubner-Texte Math. 65, 104-109 (1984). MSC: 60D05 51M20 52Bxx 05B45 PDF BibTeX XML
Miles, R. E.; Maillardet, R. J. The basic structures of Voronoi and generalized Voronoi polygons. (English) Zbl 0482.60015 Essays in statistical science, Pap. in Honour of P.A.P. Moran, J. Appl. Probab., Spec. Vol. 19A, 97-111 (1982). MSC: 60D05 PDF BibTeX XML