Takatsuka, Kazuo Schrödinger dynamics in length-scale hierarchy: from spatial rescaling to Huygens-like proliferation of Gaussian wavepackets. (English) Zbl 07760614 J. Phys. A, Math. Theor. 56, No. 44, Article ID 445302, 22 p. (2023). MSC: 81Q05 81R30 42C40 37F46 28C20 81Q20 70G10 60J60 81S40 81U90 81U26 37H05 PDFBibTeX XMLCite \textit{K. Takatsuka}, J. Phys. A, Math. Theor. 56, No. 44, Article ID 445302, 22 p. (2023; Zbl 07760614) Full Text: DOI
Wang, Yizao Choquet random sup-measures with aggregations. (English) Zbl 1492.60137 Extremes 25, No. 1, 25-54 (2022). MSC: 60G57 60G70 60F17 PDFBibTeX XMLCite \textit{Y. Wang}, Extremes 25, No. 1, 25--54 (2022; Zbl 1492.60137) Full Text: DOI arXiv
Han, Qiyang; Sen, Bodhisattva; Shen, Yandi High-dimensional asymptotics of likelihood ratio tests in the Gaussian sequence model under convex constraints. (English) Zbl 1485.60038 Ann. Stat. 50, No. 1, 376-406 (2022). MSC: 60F17 62E17 PDFBibTeX XMLCite \textit{Q. Han} et al., Ann. Stat. 50, No. 1, 376--406 (2022; Zbl 1485.60038) Full Text: DOI
Durieu, Olivier; Wang, Yizao Phase transition for extremes of a stochastic model with long-range dependence and multiplicative noise. (English) Zbl 1489.60092 Stochastic Processes Appl. 143, 55-88 (2022). Reviewer: Fabrizio Durante (Lecce) MSC: 60G70 60F17 60G57 PDFBibTeX XMLCite \textit{O. Durieu} and \textit{Y. Wang}, Stochastic Processes Appl. 143, 55--88 (2022; Zbl 1489.60092) Full Text: DOI arXiv
Salamanca, Juan Jesús Discussions on the connectedness of a random closed set. (English) Zbl 1521.60008 Denœux, Thierry (ed.) et al., Belief functions: theory and applications. 6th international conference, BELIEF 2021, Shanghai, China, October 15–19, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12915, 281-290 (2021). MSC: 60D05 PDFBibTeX XMLCite \textit{J. J. Salamanca}, Lect. Notes Comput. Sci. 12915, 281--290 (2021; Zbl 1521.60008) Full Text: DOI
Salamanca, Juan Jesús On the connectedness of random sets of \(\mathbb{R}\). (English) Zbl 1507.60028 Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 29, No. 1, 57-64 (2021). MSC: 60D05 PDFBibTeX XMLCite \textit{J. J. Salamanca}, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 29, No. 1, 57--64 (2021; Zbl 1507.60028) Full Text: DOI
Rataj, Jan Mean Euler characteristic of stationary random closed sets. (English) Zbl 1469.60059 Stochastic Processes Appl. 137, 252-271 (2021). MSC: 60D05 60G60 53C65 PDFBibTeX XMLCite \textit{J. Rataj}, Stochastic Processes Appl. 137, 252--271 (2021; Zbl 1469.60059) Full Text: DOI arXiv
El Harami, Mohamed Conditional expectation of Pettis integrable unbounded random sets. (English) Zbl 1455.60010 J. Korean Math. Soc. 57, No. 2, 359-381 (2020). MSC: 60B11 28C20 PDFBibTeX XMLCite \textit{M. El Harami}, J. Korean Math. Soc. 57, No. 2, 359--381 (2020; Zbl 1455.60010) Full Text: DOI
Haier, Andreas; Molchanov, Ilya Multivariate risk measures in the non-convex setting. (English) Zbl 1458.91229 Stat. Risk. Model. 36, No. 1-4, 25-35 (2019). Reviewer: Ilya S. Molchanov (Bern) MSC: 91G70 60D05 91G99 PDFBibTeX XMLCite \textit{A. Haier} and \textit{I. Molchanov}, Stat. Risk. Model. 36, No. 1--4, 25--35 (2019; Zbl 1458.91229) Full Text: DOI arXiv Link
Ferger, Dietmar Weak convergence of probability measures to Choquet capacity functionals. (English) Zbl 1424.60001 Turk. J. Math. 42, No. 4, 1747-1764 (2018). MSC: 60B05 60B10 54B20 PDFBibTeX XMLCite \textit{D. Ferger}, Turk. J. Math. 42, No. 4, 1747--1764 (2018; Zbl 1424.60001) Full Text: DOI Link
Durieu, Olivier; Wang, Yizao A family of random sup-measures with long-range dependence. (English) Zbl 1402.60064 Electron. J. Probab. 23, Paper No. 107, 24 p. (2018). MSC: 60G70 60F17 60G57 PDFBibTeX XMLCite \textit{O. Durieu} and \textit{Y. Wang}, Electron. J. Probab. 23, Paper No. 107, 24 p. (2018; Zbl 1402.60064) Full Text: DOI arXiv Euclid
Crauel, Hans; Scheutzow, Michael Minimal random attractors. (English) Zbl 1386.37050 J. Differ. Equations 265, No. 2, 702-718 (2018). MSC: 37H20 35B51 37B25 37C70 60H10 60H15 60H25 PDFBibTeX XMLCite \textit{H. Crauel} and \textit{M. Scheutzow}, J. Differ. Equations 265, No. 2, 702--718 (2018; Zbl 1386.37050) Full Text: DOI arXiv
Bräu, Christian; Heinrich, Lothar Mixing properties of stationary Poisson cylinder models. (English) Zbl 1394.60009 Stochastics 89, No. 5, 753-765 (2017). MSC: 60D05 60G55 PDFBibTeX XMLCite \textit{C. Bräu} and \textit{L. Heinrich}, Stochastics 89, No. 5, 753--765 (2017; Zbl 1394.60009) Full Text: DOI Link
Sumner, Jeremy G. Multiplicatively closed Markov models must form Lie algebras. (English) Zbl 1416.17007 ANZIAM J. 59, No. 2, 240-246 (2017). MSC: 17B45 60J27 PDFBibTeX XMLCite \textit{J. G. Sumner}, ANZIAM J. 59, No. 2, 240--246 (2017; Zbl 1416.17007) Full Text: DOI arXiv
Sakbaev, V. Zh. Averaging of random walks and shift-invariant measures on a Hilbert space. (English. Russian original) Zbl 1376.81023 Theor. Math. Phys. 191, No. 3, 886-909 (2017); translation from Teor. Mat. Fiz. 191, No. 3, 473-502 (2017). MSC: 81Q05 60G50 81P20 28C10 46C05 PDFBibTeX XMLCite \textit{V. Zh. Sakbaev}, Theor. Math. Phys. 191, No. 3, 886--909 (2017; Zbl 1376.81023); translation from Teor. Mat. Fiz. 191, No. 3, 473--502 (2017) Full Text: DOI
Thinh, Nguyen; Thang, Dang Hung Sample paths of generalized random linear mappings. (English) Zbl 1374.60069 Lith. Math. J. 57, No. 3, 401-420 (2017). MSC: 60G20 60G17 60G60 47B80 47H04 60B11 PDFBibTeX XMLCite \textit{N. Thinh} and \textit{D. H. Thang}, Lith. Math. J. 57, No. 3, 401--420 (2017; Zbl 1374.60069) Full Text: DOI
Schulte, Julia; Weil, Wolfgang Valuations and Boolean models. (English) Zbl 1378.60033 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, 301-338 (2017). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 60D05 52B45 53C65 60G55 PDFBibTeX XMLCite \textit{J. Schulte} and \textit{W. Weil}, Lect. Notes Math. 2177, 301--338 (2017; Zbl 1378.60033) Full Text: DOI arXiv
Ananyev, B. I. Estimation of the evolution of a random set. (English. Russian original) Zbl 1372.65011 Proc. Steklov Inst. Math. 296, Suppl. 1, S31-S42 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 1 (2016). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 65C30 60H10 60H35 34F05 PDFBibTeX XMLCite \textit{B. I. Ananyev}, Proc. Steklov Inst. Math. 296, S31--S42 (2017; Zbl 1372.65011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 1 (2016) Full Text: DOI
Rahmani, Saïd; Pinoli, Jean-Charles; Debayle, Johan Description of the symmetric convex random closed sets as zonotopes from their Feret diameters. (English) Zbl 1384.60042 Mod. Stoch., Theory Appl. 3, No. 4, 325-364 (2016). MSC: 60D05 52A22 52A10 PDFBibTeX XMLCite \textit{S. Rahmani} et al., Mod. Stoch., Theory Appl. 3, No. 4, 325--364 (2016; Zbl 1384.60042) Full Text: DOI arXiv
Baccelli, François; Chang-Lara, Héctor A.; Foss, Sergey Shape theorems for Poisson hail on a bivariate ground. (English) Zbl 1342.60010 Adv. Appl. Probab. 48, No. 2, 525-543 (2016). MSC: 60D05 60F15 60G55 PDFBibTeX XMLCite \textit{F. Baccelli} et al., Adv. Appl. Probab. 48, No. 2, 525--543 (2016; Zbl 1342.60010) Full Text: DOI arXiv Link
Camerlenghi, Federico; Villa, Elena Optimal bandwidth of the “Minkowski content”-based estimator of the mean density of random closed sets: theoretical results and numerical experiments. (English) Zbl 1330.62175 J. Math. Imaging Vis. 53, No. 3, 264-287 (2015). MSC: 62G07 94A08 28A75 60D05 PDFBibTeX XMLCite \textit{F. Camerlenghi} and \textit{E. Villa}, J. Math. Imaging Vis. 53, No. 3, 264--287 (2015; Zbl 1330.62175) Full Text: DOI Link
Zhu, Chuanxi; Liu, Jianhui; Wu, Zhaoqi Research on some problems of a class of random nonlinear operator equations. (English) Zbl 1340.60106 Adv. Math., Beijing 44, No. 2, 271-276 (2015). MSC: 60H25 47B80 47H40 PDFBibTeX XMLCite \textit{C. Zhu} et al., Adv. Math., Beijing 44, No. 2, 271--276 (2015; Zbl 1340.60106) Full Text: DOI
Lachieze-Rey, Raphael; Molchanov, Ilya Regularity conditions in the realisability problem with applications to point processes and random closed sets. (English) Zbl 1358.60022 Ann. Appl. Probab. 25, No. 1, 116-149 (2015). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 28C05 46A40 47B65 60G55 PDFBibTeX XMLCite \textit{R. Lachieze-Rey} and \textit{I. Molchanov}, Ann. Appl. Probab. 25, No. 1, 116--149 (2015; Zbl 1358.60022) Full Text: DOI arXiv Euclid
Chang, Seung Jun; Chung, Hyun Soo A new aspect of the analytic Fourier-Feynman transform and its applications. (English) Zbl 1308.81073 Integral Transforms Spec. Funct. 26, No. 1, 65-77 (2015). MSC: 81Q05 28C20 60J65 35Q40 81Q30 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{H. S. Chung}, Integral Transforms Spec. Funct. 26, No. 1, 65--77 (2015; Zbl 1308.81073) Full Text: DOI
Terán, Pedro Distributions of random closed sets via containment functionals. (English) Zbl 1311.60017 J. Nonlinear Convex Anal. 15, No. 5, 907-917 (2014). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 28A12 62E10 PDFBibTeX XMLCite \textit{P. Terán}, J. Nonlinear Convex Anal. 15, No. 5, 907--917 (2014; Zbl 1311.60017) Full Text: Link
Chang, Seung Jun; Choi, Jae Gil; Chung, Hyun Soo An approach to solution of the Schrödinger equation using Fourier-type functionals. (English) Zbl 1266.60141 J. Korean Math. Soc. 50, No. 2, 259-274 (2013). MSC: 60J65 81Q05 28C20 46C07 PDFBibTeX XMLCite \textit{S. J. Chang} et al., J. Korean Math. Soc. 50, No. 2, 259--274 (2013; Zbl 1266.60141) Full Text: DOI
Zhu, Chuanxi; Song, Dalong Some random functional analysis problems in the Z-C-X space. (Chinese. English summary) Zbl 1265.60125 J. Nanchang Univ., Nat. Sci. 36, No. 1, 1-4 (2012). MSC: 60H25 47H40 PDFBibTeX XMLCite \textit{C. Zhu} and \textit{D. Song}, J. Nanchang Univ., Nat. Sci. 36, No. 1, 1--4 (2012; Zbl 1265.60125)
Castaing, Charles; Nguyen Van Quang; Duong Xuan Giap Various convergence results in strong law of large numbers for double array of random sets in Banach spaces. (English) Zbl 1243.60028 J. Nonlinear Convex Anal. 13, No. 1, 1-30 (2012). Reviewer: Tadeusz Inglot (Wrocław) MSC: 60F15 60B12 28B20 PDFBibTeX XMLCite \textit{C. Castaing} et al., J. Nonlinear Convex Anal. 13, No. 1, 1--30 (2012; Zbl 1243.60028) Full Text: Link
Aletti, Giacomo; Bongiorno, Enea G.; Capasso, Vincenzo Integration in a dynamical stochastic geometric framework. (English) Zbl 1264.60010 ESAIM, Probab. Stat. 15, 402-416 (2011). MSC: 60D05 53C65 60H05 PDFBibTeX XMLCite \textit{G. Aletti} et al., ESAIM, Probab. Stat. 15, 402--416 (2011; Zbl 1264.60010) Full Text: DOI arXiv
Ferger, Dietmar On the argmin-sets of stochastic processes and their distributional convergence in Fell-type-topologies. (English) Zbl 1241.93054 Kybernetika 47, No. 6, 955-968 (2011). MSC: 93E20 49J53 60B10 60F05 90C15 PDFBibTeX XMLCite \textit{D. Ferger}, Kybernetika 47, No. 6, 955--968 (2011; Zbl 1241.93054) Full Text: EuDML Link
Emery, Xavier; Lantuéjoul, Christian Geometric covariograms, indicator variograms and boundaries of planar closed sets. (English) Zbl 1236.62074 Math. Geosci. 43, No. 8, 905-927 (2011). MSC: 62H99 60D05 86A32 PDFBibTeX XMLCite \textit{X. Emery} and \textit{C. Lantuéjoul}, Math. Geosci. 43, No. 8, 905--927 (2011; Zbl 1236.62074) Full Text: DOI
Mazzucchi, Sonia Functional-integral solution for the Schrödinger equation with polynomial potential: a white noise approach. (English) Zbl 1232.35140 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 14, No. 4, 675-688 (2011). MSC: 35Q41 35C15 28C20 60H40 81Q05 47D06 35B60 PDFBibTeX XMLCite \textit{S. Mazzucchi}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 14, No. 4, 675--688 (2011; Zbl 1232.35140) Full Text: DOI
Baccelli, Francois; Foss, Sergey Poisson hail on a hot ground. (English) Zbl 1230.60097 J. Appl. Probab. 48A, Spec. Vol., 343-366 (2011). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60K25 60G55 60J80 60D05 60K35 PDFBibTeX XMLCite \textit{F. Baccelli} and \textit{S. Foss}, J. Appl. Probab. 48A, 343--366 (2011; Zbl 1230.60097) Full Text: DOI arXiv
Kloeden, Peter E.; Lorenz, Thomas Stochastic morphological evolution equations. (English) Zbl 1230.35149 J. Differ. Equations 251, No. 10, 2950-2979 (2011). Reviewer: Iulian Stoleriu (Iaşi) MSC: 35R60 35R70 60H15 34G25 37H10 49J53 93B03 PDFBibTeX XMLCite \textit{P. E. Kloeden} and \textit{T. Lorenz}, J. Differ. Equations 251, No. 10, 2950--2979 (2011; Zbl 1230.35149) Full Text: DOI
Galerne, Bruno Computation of the perimeter of measurable sets via their covariogram. Applications to random sets. (English) Zbl 1228.60019 Image Anal. Stereol. 30, No. 1, 39-51 (2011). MSC: 60D05 PDFBibTeX XMLCite \textit{B. Galerne}, Image Anal. Stereol. 30, No. 1, 39--51 (2011; Zbl 1228.60019) Full Text: DOI
Ballani, Felix Multiple-point hit distribution functions and vague convergence of related measures. (English) Zbl 1220.60007 Math. Nachr. 284, No. 8-9, 938-947 (2011). MSC: 60D05 60G57 PDFBibTeX XMLCite \textit{F. Ballani}, Math. Nachr. 284, No. 8--9, 938--947 (2011; Zbl 1220.60007) Full Text: DOI
Møller, Jesper; Helisová, Kateřina Likelihood inference for unions of interacting discs. (English) Zbl 1226.60016 Scand. J. Stat. 37, No. 3, 365-381 (2010). MSC: 60D05 60G55 62M30 PDFBibTeX XMLCite \textit{J. Møller} and \textit{K. Helisová}, Scand. J. Stat. 37, No. 3, 365--381 (2010; Zbl 1226.60016) Full Text: DOI Link
Cheng, Suli; Zhu, Chuanxi; Zhang, Xuhui Existence theorem of solutions for a class of random equations in the Z-C-X space. (Chinese. English summary) Zbl 1224.60165 Pure Appl. Math. 26, No. 2, 335-338, 352 (2010). MSC: 60H25 47H10 47H40 47J05 PDFBibTeX XMLCite \textit{S. Cheng} et al., Pure Appl. Math. 26, No. 2, 335--338, 352 (2010; Zbl 1224.60165)
Wei, Guo; Wang, Yangeng; Nguyen, Hung T.; Beken, Donald E. On the upper semicontinuity of Choquet capacities. (English) Zbl 1205.60031 Int. J. Approx. Reasoning 51, No. 4, 429-440 (2010). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 PDFBibTeX XMLCite \textit{G. Wei} et al., Int. J. Approx. Reasoning 51, No. 4, 429--440 (2010; Zbl 1205.60031) Full Text: DOI
Grbić, T.; Pap, E. Generalization of portmanteau theorem with respect to the pseudoweak convergence of random closed sets. (English. Russian original) Zbl 1219.28014 Theory Probab. Appl. 54, No. 1, 51-67 (2010); translation from Teor. Veroyatn. Primen. 54, No. 1, 97-115 (2009). MSC: 28B05 28A12 60B10 PDFBibTeX XMLCite \textit{T. Grbić} and \textit{E. Pap}, Theory Probab. Appl. 54, No. 1, 51--67 (2009; Zbl 1219.28014); translation from Teor. Veroyatn. Primen. 54, No. 1, 97--115 (2009) Full Text: DOI
Mrkvička, Tomáš; Rataj, Jan On estimation of intrinsic volume densities of stationary random closed sets via parallel sets in the plane. (English) Zbl 1186.62050 Kybernetika 45, No. 6, 931-945 (2009). MSC: 62G07 60D05 62G20 62G05 65C60 PDFBibTeX XMLCite \textit{T. Mrkvička} and \textit{J. Rataj}, Kybernetika 45, No. 6, 931--945 (2009; Zbl 1186.62050) Full Text: EuDML Link
Heinrich, L.; Spiess, M. Berry-Esseen bounds and Cramér-type large deviations for the volume distribution of Poisson cylinder processes. (English) Zbl 1186.60017 Lith. Math. J. 49, No. 4, 381-398 (2009). MSC: 60F05 60D05 60F10 60G55 PDFBibTeX XMLCite \textit{L. Heinrich} and \textit{M. Spiess}, Lith. Math. J. 49, No. 4, 381--398 (2009; Zbl 1186.60017) Full Text: DOI
Cavazos-Cadena, Rolando Solutions of the average cost optimality equation for finite Markov decision chains: Risk-sensitive and risk-neutral criteria. (English) Zbl 1177.93098 Math. Methods Oper. Res. 70, No. 3, 541-566 (2009). MSC: 93E20 60J05 93C55 PDFBibTeX XMLCite \textit{R. Cavazos-Cadena}, Math. Methods Oper. Res. 70, No. 3, 541--566 (2009; Zbl 1177.93098) Full Text: DOI
Aletti, Giacomo; Bongiorno, Enea G.; Capasso, Vincenzo Statistical aspects of fuzzy monotone set-valued stochastic processes. Application to birth-and-growth processes. (English) Zbl 1209.62213 Fuzzy Sets Syst. 160, No. 21, 3140-3151 (2009). Reviewer: Wolfgang Näther (Freiberg) MSC: 62M99 62M30 60D05 62M86 62M09 PDFBibTeX XMLCite \textit{G. Aletti} et al., Fuzzy Sets Syst. 160, No. 21, 3140--3151 (2009; Zbl 1209.62213) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Rataj} et al., Math. Nachr. 282, No. 4, 591--603 (2009; Zbl 1166.60049) Full Text: DOI
Karłowska-Pik, Joanna; Schreiber, Tomasz Association criteria for M-infinitely-divisible and U-infinitely-divisible random sets. (English) Zbl 1158.60002 Probab. Math. Stat. 28, No. 2, 169-178 (2008). MSC: 60D05 60E07 PDFBibTeX XMLCite \textit{J. Karłowska-Pik} and \textit{T. Schreiber}, Probab. Math. Stat. 28, No. 2, 169--178 (2008; Zbl 1158.60002) Full Text: Link
Hong, Hang Minimal closed sets of Markov chains in random environments. (Chinese. English summary) Zbl 1174.60446 Pure Appl. Math. 24, No. 2, 379-384 (2008). MSC: 60K37 PDFBibTeX XMLCite \textit{H. Hong}, Pure Appl. Math. 24, No. 2, 379--384 (2008; Zbl 1174.60446)
Terán, Pedro A continuity theorem for cores of random closed sets. (English) Zbl 1152.60016 Proc. Am. Math. Soc. 136, No. 12, 4417-4425 (2008). MSC: 60D05 PDFBibTeX XMLCite \textit{P. Terán}, Proc. Am. Math. Soc. 136, No. 12, 4417--4425 (2008; Zbl 1152.60016) Full Text: DOI
Møller, Jesper; Helisová, Kateřina Power diagrams and interaction processes for unions of discs. (English) Zbl 1146.60322 Adv. Appl. Probab. 40, No. 2, 321-347 (2008). MSC: 60K35 60D05 60G55 62M30 68U20 PDFBibTeX XMLCite \textit{J. Møller} and \textit{K. Helisová}, Adv. Appl. Probab. 40, No. 2, 321--347 (2008; Zbl 1146.60322) Full Text: DOI
Mrkvička, T.; Rataj, J. On the estimation of intrinsic volume densities of stationary random closed sets. (English) Zbl 1148.62023 Stochastic Processes Appl. 118, No. 2, 213-231 (2008). Reviewer: L. Heinrich (Augsburg) MSC: 62G08 60D05 62M30 62G20 60G57 62J05 62G05 PDFBibTeX XMLCite \textit{T. Mrkvička} and \textit{J. Rataj}, Stochastic Processes Appl. 118, No. 2, 213--231 (2008; Zbl 1148.62023) Full Text: DOI
Hong, Hang The irreducibility of Markov chains in random environments. (Chinese. English summary) Zbl 1150.60439 J. Math. Study 40, No. 4, 406-411 (2007). MSC: 60K37 PDFBibTeX XMLCite \textit{H. Hong}, J. Math. Study 40, No. 4, 406--411 (2007; Zbl 1150.60439)
Malyutin, V. On approximation of matrix valued functional integrals. (English) Zbl 1131.65001 Monte Carlo Methods Appl. 13, No. 4, 287-298 (2007). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65C30 46G12 60B11 28C20 81Q05 PDFBibTeX XMLCite \textit{V. Malyutin}, Monte Carlo Methods Appl. 13, No. 4, 287--298 (2007; Zbl 1131.65001) Full Text: DOI
Penrose, Mathew D. Gaussian limits for random geometric measures. (English) Zbl 1153.60015 Electron. J. Probab. 12, 989-1035 (2007). Reviewer: L. Heinrich (Augsburg) MSC: 60F05 60D05 60G57 52A22 62M30 PDFBibTeX XMLCite \textit{M. D. Penrose}, Electron. J. Probab. 12, 989--1035 (2007; Zbl 1153.60015) Full Text: DOI EuDML
Dhompongsa, S.; Kaewkhao, A.; Saejung, S. On topological properties of the Choquet weak convergence of capacity functionals of random sets. (English) Zbl 1121.28002 Inf. Sci. 177, No. 8, 1852-1859 (2007). Reviewer: Paul Bankston (Milwaukee) MSC: 28A12 60D05 PDFBibTeX XMLCite \textit{S. Dhompongsa} et al., Inf. Sci. 177, No. 8, 1852--1859 (2007; Zbl 1121.28002) Full Text: DOI
Rataj, Jan Estimation of intrinsic volumes from parallel neighbourhoods. (English) Zbl 1101.62084 Gruber, Peter M. (ed.), Proceedings of the V. international conference of stochastic geometry, convex bodies, empirical measures and applications to engineering, medical and earth sciences, Mondello (Palermo), Italy, September 6–11, 2004. Palermo: Circolo Matemàtico di Palermo. Supplemento ai Rendiconti del Circolo Matemático di Palermo. Serie II 77, 553-563 (2006). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 62M30 60D05 62G05 PDFBibTeX XMLCite \textit{J. Rataj}, in: Proceedings of the V. international conference of stochastic geometry, convex bodies, empirical measures and applications to engineering, medical and earth sciences, Mondello (Palermo), Italy, September 6--11, 2004. Palermo: Circolo Matemático di Palermo. 553--563 (2006; Zbl 1101.62084)
Pantle, Ursa; Schmidt, Volker; Spodarev, Evgueni Central limit theorems for functionals of stationary germ-grain models. (English) Zbl 1104.60010 Adv. Appl. Probab. 38, No. 1, 76-94 (2006). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60F05 60D05 62M40 PDFBibTeX XMLCite \textit{U. Pantle} et al., Adv. Appl. Probab. 38, No. 1, 76--94 (2006; Zbl 1104.60010) Full Text: DOI
Nguyen, Hung T. An introduction to random sets. (English) Zbl 1100.60001 Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-58488-519-1/hbk; 978-0-367-39099-0/pbk; 978-1-4200-1061-9/ebook). ix, 257 p. (2006). Reviewer: Wolfgang Näther (Freiberg) MSC: 60-01 60D05 26E25 28B20 PDFBibTeX XMLCite \textit{H. T. Nguyen}, An introduction to random sets. Boca Raton, FL: Chapman \& Hall/CRC (2006; Zbl 1100.60001) Full Text: DOI
Shamarov, N. N. A functional integral with respect to a countably additive measure representing a solution of the Dirac equation. (English) Zbl 1271.81072 Trans. Mosc. Math. Soc. 2005, 243-255 (2005); translation from Tr. Mosk. Mat. O.-va 66, 263-276 (2005). MSC: 81Q05 28B99 46G10 46N20 35J08 60J25 PDFBibTeX XMLCite \textit{N. N. Shamarov}, Trans. Mosc. Math. Soc. 2005, 243--255 (2005; Zbl 1271.81072); translation from Tr. Mosk. Mat. O.-va 66, 263--276 (2005) Full Text: DOI
Ageev, S.; Tymchatyn, E. D. On exact atomless Milutin maps. (English) Zbl 1099.54015 Topology Appl. 153, No. 2-3, 227-238 (2005). Reviewer: Wlodzimierz Ślȩzak (Bydgoszcz) MSC: 54C10 60B05 28C15 54E50 54C65 54C60 54E40 PDFBibTeX XMLCite \textit{S. Ageev} and \textit{E. D. Tymchatyn}, Topology Appl. 153, No. 2--3, 227--238 (2005; Zbl 1099.54015) Full Text: DOI
Schmidt, Volker; Spodarev, Evgueni Joint estimators for the specific intrinsic volumes of stationary random sets. (English) Zbl 1075.60006 Stochastic Processes Appl. 115, No. 6, 959-981 (2005). Reviewer: L. Heinrich (Augsburg) MSC: 60D05 60G60 62G20 62G05 PDFBibTeX XMLCite \textit{V. Schmidt} and \textit{E. Spodarev}, Stochastic Processes Appl. 115, No. 6, 959--981 (2005; Zbl 1075.60006) Full Text: DOI
Brzeźniak, Zdzisław; Jefferies, Brian Renormalization of Coulomb interactions for the 1D Dirac equation. (English) Zbl 1062.81022 J. Math. Phys. 44, No. 4, 1638-1659 (2003). MSC: 81Q05 28B05 47D08 60J65 60J70 PDFBibTeX XMLCite \textit{Z. Brzeźniak} and \textit{B. Jefferies}, J. Math. Phys. 44, No. 4, 1638--1659 (2003; Zbl 1062.81022) Full Text: DOI
Liu, Changyu; Li, Shikai; Zhang, Ping; Li, Li Mean square Riemann integrals of the bounded closed convex set-valued stochastic processes. (Chinese. English summary) Zbl 1045.60052 J. PLA Univ. Sci. Technol., Nat. Sci. 4, No. 1, 86-88 (2003). MSC: 60H05 PDFBibTeX XMLCite \textit{C. Liu} et al., J. PLA Univ. Sci. Technol., Nat. Sci. 4, No. 1, 86--88 (2003; Zbl 1045.60052)
Gallego, Ángeles M.; Simó, Amelia Random closed set models: Estimating and simulating binary images. (English) Zbl 1044.62102 Image Anal. Stereol. 22, No. 3, 133-145 (2003). Reviewer: Ilya S. Molchanov (Bern) MSC: 62M40 60D05 PDFBibTeX XMLCite \textit{Á. M. Gallego} and \textit{A. Simó}, Image Anal. Stereol. 22, No. 3, 133--145 (2003; Zbl 1044.62102) Full Text: DOI
Böhm, Stephan; Schmidt, Volker Palm representation and approximation of the covariance of random closed sets. (English) Zbl 1039.60008 Adv. Appl. Probab. 35, No. 2, 295-302 (2003). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 60G55 62M30 PDFBibTeX XMLCite \textit{S. Böhm} and \textit{V. Schmidt}, Adv. Appl. Probab. 35, No. 2, 295--302 (2003; Zbl 1039.60008) Full Text: DOI
Zhu, Chuanxi; Pan, Y. F. Existence of random solutions for a class of random operator equations. (Chinese. English summary) Zbl 1034.60064 Acta Math. Sci., Ser. A, Chin. Ed. 23, No. 3, 276-279 (2003). MSC: 60H25 47H10 PDFBibTeX XMLCite \textit{C. Zhu} and \textit{Y. F. Pan}, Acta Math. Sci., Ser. A, Chin. Ed. 23, No. 3, 276--279 (2003; Zbl 1034.60064)
Schreiber, Tomasz Variance asymptotics and central limit theorems for volumes of unions of random closed sets. (English) Zbl 1018.60012 Adv. Appl. Probab. 34, No. 3, 520-539 (2002). Reviewer: Ilya S.Molchanov (Bern) MSC: 60D05 60F05 PDFBibTeX XMLCite \textit{T. Schreiber}, Adv. Appl. Probab. 34, No. 3, 520--539 (2002; Zbl 1018.60012) Full Text: DOI
Hess, Christian Set-valued integration and set-valued probability theory: An overview. (English) Zbl 1022.60011 Pap, E. (ed.), Handbook of measure theory. Vol. I and II. Amsterdam: North-Holland. 617-673 (2002). Reviewer: Ilya S.Molchanov (Bern) MSC: 60D05 28B20 60B99 60F99 PDFBibTeX XMLCite \textit{C. Hess}, in: Handbook of measure theory. Vol. I and II. Amsterdam: North-Holland. 617--673 (2002; Zbl 1022.60011)
Grunert da Fonseca, V.; Fonseca, C. M. A link between the multivariate cumulative distribution function and the hitting function for random closed sets. (English) Zbl 1001.60026 Stat. Probab. Lett. 57, No. 2, 179-182 (2002). MSC: 60E99 PDFBibTeX XMLCite \textit{V. Grunert da Fonseca} and \textit{C. M. Fonseca}, Stat. Probab. Lett. 57, No. 2, 179--182 (2002; Zbl 1001.60026) Full Text: DOI
Xue, Naihua; Xiao, Zhengyan; Hu, Dihe The invariant measure and ergodic limit for skew product Markov chains. (Chinese. English summary) Zbl 0972.60072 J. Wuhan Univ., Nat. Sci. Ed. 47, No. 1, 17-21 (2001). MSC: 60J10 PDFBibTeX XMLCite \textit{N. Xue} et al., J. Wuhan Univ., Nat. Sci. Ed. 47, No. 1, 17--21 (2001; Zbl 0972.60072)
Schneider, Rolf; Weil, Wolfgang Stochastic geometry. (Stochastische Geometrie.) (German) Zbl 0964.52009 Teubner Skripten zur Mathematischen Stochastik. Leipzig: B. G. Teubner. viii, 359 p. (2000). Reviewer: Daniel Hug (Freiburg) MSC: 52A22 60D05 60-01 52-01 60G55 60G57 60G60 62M20 62M40 52A20 52A21 52A40 62P10 62P30 62P35 PDFBibTeX XMLCite \textit{R. Schneider} and \textit{W. Weil}, Stochastische Geometrie. Leipzig: B. G. Teubner (2000; Zbl 0964.52009)
Błaszczyszyn, Bartłomiej; Sigman, Karl Risk and duality in multidimensions. (English) Zbl 0997.60069 Stochastic Processes Appl. 83, No. 2, 331-356 (1999). MSC: 60J05 91B30 60K25 PDFBibTeX XMLCite \textit{B. Błaszczyszyn} and \textit{K. Sigman}, Stochastic Processes Appl. 83, No. 2, 331--356 (1999; Zbl 0997.60069) Full Text: DOI
Kolokoltsov, Vassili Complex measures on path space: An introduction to the Feynman integral applied to the Schrödinger equation. (English) Zbl 0942.28013 Methodol. Comput. Appl. Probab. 1, No. 3, 349-365 (1999). Reviewer: Oleksandr Kukush (Kyiv) MSC: 28C20 60E07 60J75 81Q05 81S40 PDFBibTeX XMLCite \textit{V. Kolokoltsov}, Methodol. Comput. Appl. Probab. 1, No. 3, 349--365 (1999; Zbl 0942.28013) Full Text: DOI
Molchanov, Ilya S. On strong laws of large numbers for random upper semicontinuous functions. (English) Zbl 0959.60003 J. Math. Anal. Appl. 235, No. 1, 349-355 (1999). Reviewer: Günter Last (Karlsruhe) MSC: 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, J. Math. Anal. Appl. 235, No. 1, 349--355 (1999; Zbl 0959.60003) Full Text: DOI
Ayala, G.; Simó, A. Stochastic labelling of biological images. (English) Zbl 0954.62127 Stat. Neerl. 52, No. 2, 141-152 (1998). MSC: 62P10 60D05 PDFBibTeX XMLCite \textit{G. Ayala} and \textit{A. Simó}, Stat. Neerl. 52, No. 2, 141--152 (1998; Zbl 0954.62127) Full Text: DOI
Kim, Eungab; Van Oyen, Mark P. Dynamic scheduling to minimize lost sales subject to set-up costs. (English) Zbl 0916.90107 Queueing Syst. 29, No. 2-4, 193-229 (1998). MSC: 90B22 60K25 90C40 90B35 PDFBibTeX XMLCite \textit{E. Kim} and \textit{M. P. Van Oyen}, Queueing Syst. 29, No. 2--4, 193--229 (1998; Zbl 0916.90107) Full Text: DOI
Molchanov, Ilya S. Averaging of random sets and binary images. (English) Zbl 0927.60010 CWI Q. 11, No. 4, 371-384 (1998). Reviewer: Günter Last (Braunschweig) MSC: 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, CWI Q. 11, No. 4, 371--384 (1998; Zbl 0927.60010)
Stoyan, Dietrich Random sets: Models and statistics. (English) Zbl 0906.60006 Int. Stat. Rev. 66, No. 1, 1-27 (1998). MSC: 60D05 PDFBibTeX XMLCite \textit{D. Stoyan}, Int. Stat. Rev. 66, No. 1, 1--27 (1998; Zbl 0906.60006) Full Text: DOI
Molchanov, Ilya S. Averaging and models of random sets and shapes. (English) Zbl 0927.60009 Proceedings of the 51st session of the International Statistical Institute, Istanbul, Turkey, August 18–26, 1997. Vol. 2. Voorburg: International Statistical Institute, 119-122 (1997). Reviewer: Günter Last (Braunschweig) MSC: 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, in: Proceedings of the 51st session of the International Statistical Institute, Istanbul, Turkey, August 18--26, 1997. Vol. 2. Voorburg: International Statistical Institute. 119--122 (1997; Zbl 0927.60009)
Cheng, Bensu Interval-valued fuzzy random variables. I: Interval-valued fuzzy numbers. (Chinese. English summary) Zbl 0936.60002 J. Qufu Norm. Univ., Nat. Sci. 23, No. 2, 45-49 (1997). MSC: 60A99 94D05 03E72 PDFBibTeX XMLCite \textit{B. Cheng}, J. Qufu Norm. Univ., Nat. Sci. 23, No. 2, 45--49 (1997; Zbl 0936.60002)
Repovš, Dušan; Semenov, Pavel V.; Shchepin, Evgenij V. On exact Milyutin mappings. (English) Zbl 0957.54008 Topology Appl. 81, No. 3, 197-205 (1997). MSC: 54C60 55R10 54C65 54C10 60B05 28C15 PDFBibTeX XMLCite \textit{D. Repovš} et al., Topology Appl. 81, No. 3, 197--205 (1997; Zbl 0957.54008) Full Text: DOI
Hansen, Martin B.; Gill, Richard D.; Baddeley, Adrian Kaplan-Meier type estimators for linear contact distributions. (English) Zbl 0854.62030 Scand. J. Stat. 23, No. 2, 129-155 (1996). MSC: 62G05 62M30 62P10 60D05 PDFBibTeX XMLCite \textit{M. B. Hansen} et al., Scand. J. Stat. 23, No. 2, 129--155 (1996; Zbl 0854.62030)
Molchanov, I. S. Generalized expectations of random closed sets. (English) Zbl 0936.60006 Àrato, M. (ed.) et al., New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25-October 1, 1992. Kiev: TViMS. Teor. Veroyatn. Mat. Stat./Probab. Theory Math. Stat. 2, 391-403 (1995). Reviewer: A.D.Borisenko (Kyïv) MSC: 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, in: New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25--October 1, 1992. Kiev: TViMS. 391--403 (1995; Zbl 0936.60006)
Resnick, Sidney I.; Roy, Rishin Super-extremal processes and the argmax process. (English) Zbl 0821.60055 J. Appl. Probab. 31, No. 4, 958-978 (1994). Reviewer: Wolfgang Schmid (Frankfurt/Oder) MSC: 60G70 60G55 PDFBibTeX XMLCite \textit{S. I. Resnick} and \textit{R. Roy}, J. Appl. Probab. 31, No. 4, 958--978 (1994; Zbl 0821.60055) Full Text: DOI Link
Molchanov, I. S. Statistical analysis of Boolean models with randomly scaled grains. (English. Ukrainian original) Zbl 0840.62087 Theory Probab. Math. Stat. 48, 105-110 (1994); translation from Teor. Jmovirn. Mat. Stat. 48, 147-154 (1993). MSC: 62M99 62G05 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Theory Probab. Math. Stat. 48, 1 (1993; Zbl 0840.62087); translation from Teor. Jmovirn. Mat. Stat. 48, 147--154 (1993)
Rataj, Jan Random distances and edge correction. (English) Zbl 0810.60010 Statistics 24, No. 4, 377-385 (1993). MSC: 60D05 62M99 PDFBibTeX XMLCite \textit{J. Rataj}, Statistics 24, No. 4, 377--385 (1993; Zbl 0810.60010) Full Text: DOI
Molchanov, Ilya S. Limit theorems for unions of random closed sets. (English) Zbl 0790.60015 Lecture Notes in Mathematics. 1561. Berlin: Springer-Verlag. x, 157 p. DM 42.00; öS 327.60; sFr 46.50/pbk (1993). Reviewer: E.Pancheva (Sofia) MSC: 60D05 60-02 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Limit theorems for unions of random closed sets. Berlin: Springer-Verlag (1993; Zbl 0790.60015) Full Text: DOI
Molchanov, Ilya S. On distributions of random closed sets and expected convex hulls. (English) Zbl 0789.60009 Stat. Probab. Lett. 17, No. 4, 253-257 (1993). Reviewer: W.Weil (Karlsruhe) MSC: 60D05 60B11 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Stat. Probab. Lett. 17, No. 4, 253--257 (1993; Zbl 0789.60009) Full Text: DOI
Molchanov, Ilya S. Strong law of large numbers for unions of random closed sets. (English) Zbl 0789.60030 Stochastic Processes Appl. 46, No. 2, 199-212 (1993). Reviewer: A.M.Zapała (Lublin) MSC: 60F15 60D05 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Stochastic Processes Appl. 46, No. 2, 199--212 (1993; Zbl 0789.60030) Full Text: DOI
Molchanov, I. S. Characterization of random closed sets stable with respect to union. (English. Russian original) Zbl 0839.60016 Theory Probab. Math. Stat. 46, 111-116 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 114-120 (1992). Reviewer: L.Heinrich (Freiberg) MSC: 60D05 60E07 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Theory Probab. Math. Stat. 46, 1 (1992; Zbl 0839.60016); translation from Teor. Jmovirn. Mat. Stat. 46, 114--120 (1992)
Heinrich, L. On existence and mixing properties of germ-grain models. (English) Zbl 0811.60034 Statistics 23, No. 3, 271-286 (1992). MSC: 60G55 60D05 60G60 60G57 PDFBibTeX XMLCite \textit{L. Heinrich}, Statistics 23, No. 3, 271--286 (1992; Zbl 0811.60034) Full Text: DOI
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 PDFBibTeX XMLCite \textit{H. Fallert}, Intensitätsmaße und Quermaßdichten für (nichtstationäre) zufällige Mengen und geometrische Punktprozesse. Karlsruhe: Univ. Karlsruhe, Fak. f. Math. (1992; Zbl 0802.60014)
Resnick, Sidney I.; Roy, Rishin On min-stable horse races with infinitely many horses. (English) Zbl 0785.92031 Math. Soc. Sci. 23, No. 1, 119-145 (1992). Reviewer: P.Lánský (Praha) MSC: 91E45 91E10 60G17 60G40 PDFBibTeX XMLCite \textit{S. I. Resnick} and \textit{R. Roy}, Math. Soc. Sci. 23, No. 1, 119--145 (1992; Zbl 0785.92031) Full Text: DOI
Molchanov, Ilya S. Handling with spatial censored observations in statistics of Boolean models of random sets. (English) Zbl 0760.62089 Biom. J. 34, No. 5, 617-631 (1992). MSC: 62M30 60D05 62M99 PDFBibTeX XMLCite \textit{I. S. Molchanov}, Biom. J. 34, No. 5, 617--631 (1992; Zbl 0760.62089) Full Text: DOI
Ayala, Guillermo; Ferrandiz, Juan; Montes, Francisco Random set and coverage measure. (English) Zbl 0747.60014 Adv. Appl. Probab. 23, No. 4, 972-974 (1991). Reviewer: N.Semejko (Kiev) MSC: 60D05 60G57 PDFBibTeX XMLCite \textit{G. Ayala} et al., Adv. Appl. Probab. 23, No. 4, 972--974 (1991; Zbl 0747.60014) Full Text: DOI
Albrecht, Matthias; Näther, Wolfgang Random closed fuzzy sets - an attempt to define a fuzzy Boolean model. (English) Zbl 0723.60017 Freiberger Forschungsh., Reihe D 197, 78-95 (1990). Reviewer: O.Kaleva (Tampere) MSC: 60D05 03E72 PDFBibTeX XMLCite \textit{M. Albrecht} and \textit{W. Näther}, Freiberger Forschungsh., Reihe D 197, 78--95 (1990; Zbl 0723.60017)
Weil, W.; Wieacker, J. A. A representation theorem for random sets. (English) Zbl 0677.52004 Probab. Math. Stat. 9, No. 1, 147-151 (1988). Reviewer: L.Holst MSC: 52A22 60D05 PDFBibTeX XMLCite \textit{W. Weil} and \textit{J. A. Wieacker}, Probab. Math. Stat. 9, No. 1, 147--151 (1988; Zbl 0677.52004)
Ichinose, Takashi; Tamura, Hiroshi A remark on path integral for the Dirac equation. (English) Zbl 0653.28008 Functional integration with emphasis on the Feynman integral, Proc. Workshop, Sherbrooke/Can. 1986, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 17, 237-248 (1988). Reviewer: N.Angelescu MSC: 28C20 81S40 60G17 81Q05 PDFBibTeX XML
Choukairi, A. Sur la convergence d’espérances conditionnelles de multiapplications. (On the convergence of conditional expectations of multifunctions). (French) Zbl 0658.28005 Sémin. Anal. Convexe, Univ. Sci. Tech. Languedoc 17, Exp. No. 10, 19 p. (1987). Reviewer: W.Ślȩzak MSC: 28B20 26E25 60A10 PDFBibTeX XMLCite \textit{A. Choukairi}, Sémin. Anal. Convexe, Univ. Sci. Tech. Languedoc 17, 19 p. (1987; Zbl 0658.28005)
Shanthikumar, J. George; Yao, David D. Optimal server allocation in a system of multi-server stations. (English) Zbl 0636.90034 Manage. Sci. 33, 1173-1180 (1987). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{J. G. Shanthikumar} and \textit{D. D. Yao}, Manage. Sci. 33, 1173--1180 (1987; Zbl 0636.90034) Full Text: DOI
Nagel, W. An application of Crofton’s formula to moment measures of random curvature measures. (English) Zbl 0618.60019 Forschungsergeb., Friedrich-Schiller-Univ. Jena N/87/12, 1-12 (1987). MSC: 60D05 60G57 PDFBibTeX XML