Brazitikos, Silouanos; Giannopoulos, Apostolos; Pafis, Minas Half-space depth of log-concave probability measures. (English) Zbl 1530.60011 Probab. Theory Relat. Fields 188, No. 1-2, 309-336 (2024). MSC: 60D05 62H05 46B06 52A40 52A23 52A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO OA License
Skarmogiannis, Nikos On a multi-integral norm defined by weighted sums of log-concave random vectors. (English) Zbl 1533.52006 Proc. Am. Math. Soc. 151, No. 10, 4355-4370 (2023). Reviewer: Andriy Prymak (Winnipeg) MSC: 52A23 52A40 60D05 46B06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skarmogiannis, Nikos On some random convex sets generated by isotropic log-concave random vectors. (English) Zbl 1497.60014 Bull. Hell. Math. Soc. 66, 78-97 (2022). MSC: 60D05 46B06 52A23 52A40 × Cite Format Result Cite Review PDF Full Text: Link
Cheng, Dan; Schwartzman, Armin On critical points of Gaussian random fields under diffeomorphic transformations. (English) Zbl 1453.60083 Stat. Probab. Lett. 158, Article ID 108672, 5 p. (2020). MSC: 60G15 60G60 58D20 15B52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Misiewicz, J. K.; Volkovich, Z. Every symmetric weakly-stable random vector is pseudo-isotropic. (English) Zbl 1471.60069 J. Math. Anal. Appl. 483, No. 1, Article ID 123575, 14 p. (2020). MSC: 60G52 60B11 60B15 60H25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bonnet, Gilles; Chasapis, Giorgos; Grote, Julian; Temesvari, Daniel; Turchi, Nicola Threshold phenomena for high-dimensional random polytopes. (English) Zbl 1423.52007 Commun. Contemp. Math. 21, No. 5, Article ID 1850038, 30 p. (2019). Reviewer: Florian Pausinger (Belfast) MSC: 52A23 52B11 52A22 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Jun; Li, Yunmeng; Sang, Liheng Weak convergence to isotropic complex \(S\alpha S\) random measure. (English) Zbl 1383.60044 J. Inequal. Appl. 2017, Paper No. 233, 11 p. (2017). MSC: 60G57 60G55 60F05 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Gilch, Lorenz; Müller, Sebastian; Parkinson, James Asymptotic entropy of random walks on Fuchsian buildings and Kac-Moody groups. (English) Zbl 1405.60008 Math. Z. 285, No. 3-4, 707-738 (2017). MSC: 60B15 60G50 20E42 20G44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giannopoulos, Apostolos; Hioni, Labrini; Tsolomitis, Antonis Geometry of random sections of isotropic convex bodies. (English) Zbl 1425.52007 Bull. Hell. Math. Soc. 60, 20-40 (2016). MSC: 52A23 46B06 52A40 60D05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Friedlander, Susan; Glatt-Holtz, Nathan; Vicol, Vlad Inviscid limits for a stochastically forced shell model of turbulent flow. (English. French summary) Zbl 1348.76081 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 3, 1217-1247 (2016). MSC: 76F05 35Q35 37L40 37L55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Alonso-Gutiérrez, David; Litvak, Alexander E.; Tomczak-Jaegermann, Nicole On the isotropic constant of random polytopes. (English) Zbl 1338.52008 J. Geom. Anal. 26, No. 1, 645-662 (2016). Reviewer: Florian Pausinger (Garching) MSC: 52A22 52A23 52B11 60D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Baldi, Paolo; Rossi, Maurizia Representation of Gaussian isotropic spin random fields. (English) Zbl 1319.60104 Stochastic Processes Appl. 124, No. 5, 1910-1941 (2014). MSC: 60G60 60G15 60B15 33C55 57T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ball, Keith; Nguyen, Van Hoang Entropy jumps for isotropic log-concave random vectors and spectral gap. (English) Zbl 1264.94077 Stud. Math. 213, No. 1, 81-96 (2012). Reviewer: Pablo Sánchez-Moreno (Granada) MSC: 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giannopoulos, A.; Paouris, G.; Valettas, P. \(\psi_{\alpha}\)-estimates for marginals of log-concave probability measures. (English) Zbl 1244.60014 Proc. Am. Math. Soc. 140, No. 4, 1297-1308 (2012). MSC: 60E05 60E99 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Marinucci, Domenico; Peccati, Giovanni Random fields on the sphere. Representation, limit theorems and cosmological applications. (English) Zbl 1260.60004 London Mathematical Society Lecture Note Series 389. Cambridge: Cambridge University Press (ISBN 978-0-521-17561-6/hbk; 978-1-139-11965-8/ebook). xii, 341 p. (2011). Reviewer: H. M. Mai (Berlin) MSC: 60-02 60G60 62M15 60D05 60B15 × Cite Format Result Cite Review PDF Full Text: DOI
Graczyk, Piotr; Loeb, Jean-Jacques; Żak, Tomasz Strong central limit theorem for isotropic random walks in \({\mathbb{R}^d}\). (English) Zbl 1236.60045 Probab. Theory Relat. Fields 151, No. 1-2, 153-172 (2011). Reviewer: Michael Voit (Dortmund) MSC: 60G50 60F05 60B10 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Bouleau, Nicolas The lent particle method for marked point processes. (English) Zbl 1226.60074 Donati-Martin, Catherine (ed.) et al., Séminaire de Probabilités XLIII, Poitiers, France, Juin 2009. Berlin: Springer (ISBN 978-3-642-15216-0/pbk; 978-3-642-15217-7/ebook). Lecture Notes in Mathematics 2006, 341-349 (2011). Reviewer: Nicolas Privault (Singapore) MSC: 60G57 60J45 60H07 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Adamczak, Radosław; Litvak, Alexander E.; Pajor, Alain; Tomczak-Jaegermann, Nicole Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles. (English) Zbl 1206.60006 J. Am. Math. Soc. 23, No. 2, 535-561 (2010). Reviewer: Michael Stolz (Bochum) MSC: 60B20 46B09 52A21 60E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van Bargen, H.; Dimitroff, G. Isotropic Ornstein-Uhlenbeck flows. (English) Zbl 1221.60073 Stochastic Processes Appl. 119, No. 7, 2166-2197 (2009). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 60G60 60G57 60G15 37C70 37H10 37A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baldi, Paolo; Marinucci, Domenico; Varadarajan, Veeravalli S. On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups. (English) Zbl 1128.60039 Electron. Commun. Probab. 12, 291-302 (2007). MSC: 60G60 60B15 60E05 43A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Ponomarenko, Oleksandr; Perun, Yuriy Spectral analysis of some classes of multivariate random fields with isotropic property. (English) Zbl 1141.60030 Theory Stoch. Process. 12, No. 28, Part 3-4, 142-150 (2006). Reviewer: A. D. Borisenko (Kyïv) MSC: 60G60 60G10 60G57 × Cite Format Result Cite Review PDF
Barbato, D.; Barsanti, M.; Bessaih, H.; Flandoli, F. Some rigorous results on a stochastic GOY model. (English) Zbl 1107.82057 J. Stat. Phys. 125, No. 3, 673-712 (2006). MSC: 82C41 76D05 76F05 × Cite Format Result Cite Review PDF Full Text: DOI
Rao, M. M. Characterizations of harmonizable fields. (English) Zbl 1153.60349 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, 935-947 (2005). MSC: 60G60 28B05 62M40 × Cite Format Result Cite Review PDF Full Text: DOI
Cartwright, Donald I.; Woess, Wolfgang Isotropic random walks in a building of type \(\widetilde{A}_d\). (English) Zbl 1060.60070 Math. Z. 247, No. 1, 101-135 (2004). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60J05 60B15 43A90 × Cite Format Result Cite Review PDF Full Text: DOI
Milman, V. D.; Pajor, A. Regularization of star bodies by random hyperplane cut off. (English) Zbl 1076.46008 Stud. Math. 159, No. 2, 247-261 (2003). Reviewer: A. E. Litvak (Edmonton) MSC: 46B09 46B07 52A20 52A21 × Cite Format Result Cite Review PDF Full Text: DOI Link
Lindlbauer, Marc; Voit, Michael Limit theorems for isotropic random walks on triangle buildings. (English) Zbl 1028.60005 J. Aust. Math. Soc. 73, No. 3, 301-333 (2002). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 60B15 60F05 33D52 20E42 43A62 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Lindlbauer, Marc Limit theorems for random walks on triangular buildings and polynomial hypergroups associated to them. (Grenzwertsätze für Irrfahrten auf Dreiecksgebäuden und den assoziierten polynomiellen Hypergruppen.) (German) Zbl 0910.43005 Tübingen: Univ. Tübingen, Mathematische Fakultät, 109 S. (1998). Reviewer: Michael Voit (Tübingen) MSC: 43A62 60B15 60F05 33C50 × Cite Format Result Cite Review PDF
Zirbel, Craig L.; Çinlar, Erhan Mass transport by Brownian flows. (English) Zbl 0867.60033 Molchanov, Stanislav A. (ed.) et al., Stochastic models in geosystems. Based on a workshop, held during the week of May 16, 1994 at IMA, Minneapolis, MN, USA. Berlin: Springer. IMA Vol. Math. Appl. 85, 459-492 (1997). MSC: 60H10 60G57 76F05 × Cite Format Result Cite Review PDF
Zirbel, Craig L. Translation and dispersion of mass by isotropic Brownian flows. (English) Zbl 0911.60043 Stochastic Processes Appl. 70, No. 1, 1-29 (1997). MSC: 60H10 76F05 60G57 × Cite Format Result Cite Review PDF Full Text: DOI
Swift, Randall J. Locally time-varying harmonizable spatially isotropic random fields. (English) Zbl 0876.60020 Indian J. Pure Appl. Math. 28, No. 3, 295-310 (1997). Reviewer: M.M.Rao (Riverside) MSC: 60G12 60G60 × Cite Format Result Cite Review PDF
Zirbel, Craig L.; Çinlar, Erhan Dispersion of particle systems in Brownian flows. (English) Zbl 0847.60041 Adv. Appl. Probab. 28, No. 1, 53-74 (1996). Reviewer: A.A.Dorogovtsev (Kiev) MSC: 60H10 60G57 76F05 × Cite Format Result Cite Review PDF Full Text: DOI
Voit, Michael Limit theorems for compact two-point homogeneous spaces of large dimensions. (English) Zbl 0870.60008 J. Theor. Probab. 9, No. 2, 353-370 (1996). MSC: 60B15 60G50 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Voit, Michael Limit theorems for random walks on the double coset spaces \(U(n)//U(n-1)\) for \(n\to \infty\). (English) Zbl 0851.60007 J. Comput. Appl. Math. 65, No. 1-3, 449-459 (1995). MSC: 60B15 60F05 33C45 43A62 × Cite Format Result Cite Review PDF Full Text: DOI
Voit, Michael A central limit theorem for isotropic random walks on \(n\)-spheres for \(n\to \infty\). (English) Zbl 0822.60063 J. Math. Anal. Appl. 189, No. 1, 215-224 (1995). Reviewer: He Sheng Wu (Shanghai) MSC: 60G50 60B15 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Lajkó, K. Functional equations in the spectral theory of random fields. II. (English) Zbl 0840.39009 Publ. Math. Debr. 45, No. 3-4, 415-421 (1994). Reviewer: J.Aczél (Waterloo/Ontario) MSC: 39B22 28A12 60G60 × Cite Format Result Cite Review PDF
Weiss, V.; Nagel, W. Second-order stereology for planar fibre processes. (English) Zbl 0820.60006 Adv. Appl. Probab. 26, No. 4, 906-918 (1994). Reviewer: L.Heinrich (Freiberg) MSC: 60D05 60G55 60G57 62G05 × Cite Format Result Cite Review PDF Full Text: DOI
Figà-Talamanca, Alessandro; Steger, Tim Harmonic analysis for anisotropic random walks on homogeneous trees. (English) Zbl 0836.43019 Mem. Am. Math. Soc. 531, 68 p. (1994). Reviewer: M.Voit (Tübingen) MSC: 43A90 22D10 22E46 20E05 43A65 60B15 22E40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kuznetsova, O. M. Extension of positive definite functions to a ball in an infinite- dimensional sphere. (English. Russian original) Zbl 0812.60008 Ukr. Math. J. 44, No. 4, 430-436 (1992); translation from Ukr. Mat. Zh. 44, No. 4, 489-497 (1992). MSC: 60B05 × Cite Format Result Cite Review PDF Full Text: DOI
Holley, Richard; Waymire, Edward C. Multifractal dimensions and scaling exponents for stronlgy bounded random cascades. (English) Zbl 0786.60064 Ann. Appl. Probab. 2, No. 4, 819-845 (1992). Reviewer: P.Ressel (Eichstätt) MSC: 60G57 76F05 × Cite Format Result Cite Review PDF Full Text: DOI
Arbeiter, E.; Zähle, M. Kinematic relations for Hausdorff moment measures in spherical spaces. (English) Zbl 0796.60012 Math. Nachr. 153, 333-348 (1991). MSC: 60D05 × Cite Format Result Cite Review PDF Full Text: DOI
Cressie, Noel A. C. Statistics for spatial data. (English) Zbl 0799.62002 Wiley Series in Probability and Mathematical Statistics. New York etc.: John Wiley & Sons, Inc. (ISBN 0-471-84336-9/hbk). xx, 900 p. (1991). Reviewer: V.Schmidt (Ulm) MSC: 62-02 62H11 62M30 60G55 86A32 62M40 60G57 × Cite Format Result Cite Review PDF
Zaika, I. V.; Yadrenko, M. I. Homogeneous and isotropic random measures. (Russian) Zbl 0756.60045 Teor. Veroyatn. Mat. Stat., Kiev 44, 63-67 (1991). Reviewer: M.I.Yadrenko (Kiev) MSC: 60G57 60A10 × Cite Format Result Cite Review PDF
Cartwright, Donald I.; Sawyer, Stanley The Martin boundary for general isotropic random walks in a tree. (English) Zbl 0728.60013 J. Theor. Probab. 4, No. 1, 111-136 (1991). Reviewer: A.Mukherjea (Tampa) MSC: 60B15 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Leitner, M. Stochastic processes indexed by hypergroups. II. (English) Zbl 0721.60004 J. Theor. Probab. 4, No. 2, 321-332 (1991). MSC: 60B15 60G10 × Cite Format Result Cite Review PDF Full Text: DOI
Zaika, I. V.; Yadrenko, M. I. Homogeneous and isotropic random measures. (English. Russian original) Zbl 0788.60062 Theory Probab. Math. Stat. 1992, 61-64 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 63-67 (1991). MSC: 60G57 × Cite Format Result Cite Review PDF
She, Zhen-Su; Jackson, Eric; Orszag, Steven A. Vortex dynamics and intermittency in turbulence. (English) Zbl 0751.76040 Nonlinear world, Proc. 4th Int. Workshop Nonlinear Turbul. Proc. Phys., Kiev/Ukr. 1989, Vol. 1, 693-713 (1990). MSC: 76F20 76B47 × Cite Format Result Cite Review PDF
Voit, Michael Laws of large numbers for polynomial hypergroups and some applications. (English) Zbl 0719.60010 J. Theor. Probab. 3, No. 2, 245-266 (1990). MSC: 60B15 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Leonenko, N. N. Limiting theorems for sojourn measures in domains of vector-valued Gaussian random fields. (English. Russian original) Zbl 0705.60043 Ukr. Math. J. 42, No. 5, 554-561 (1990); translation from Ukr. Mat. Zh. 42, No. 5, 625-634 (1990); erratum Ukr. Math. J. 42, No. 5, 641 (1996); translation from Ukr. Mat. Zh. 48, No. 4 (1996). Reviewer: N.Leonenko MSC: 60G60 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Darling, R. W. R.; Le Jan, Yves The statistical equilibrium of an isotropic stochastic flow with negative Lyapunov exponents is trivial. (English) Zbl 0647.60076 Séminaire de probabilités XXII, Strasbourg/France, Lect. Notes Math. 1321, 175-185 (1988). Reviewer: H.Crauel MSC: 60H99 58J65 60K35 37A99 37C10 60G57 60J60 60J65 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Weil, Wolfgang Point processes of cylinders, particles and flats. (English) Zbl 0632.60009 Acta Appl. Math. 9, 103-136 (1987). Reviewer: A.N.Radchenko MSC: 60D05 60G55 60-02 62P99 52A22 53C65 × Cite Format Result Cite Review PDF Full Text: DOI
Dykhovichnyj, A. A. On estimators of the correlation and spectral functions of a homogeneous and isotropic Gaussian random field. (English. Russian original) Zbl 0634.62093 Theory Probab. Math. Stat. 32, 17-26 (1986); translation from Teor. Veroyatn. Mat. Stat. 32, 17-27 (1985). MSC: 62M99 62M15 62E20 60B10 60F05 60G60 62F12 62M09 × Cite Format Result Cite Review PDF
Kendall, David G. Shape manifolds, Procrustean metrics, and complex projective spaces. (English) Zbl 0579.62100 Bull. Lond. Math. Soc. 16, 81-121 (1984). MSC: 62P99 51M99 60D05 51M10 57N25 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Madani, M. G. The weak convergence of the vector measures \(P_ R\), induced by homogeneous and isotropic random vector fields. (English) Zbl 0576.60027 Bull. Tech. Univ. Istanbul 37, 283-291 (1984). Reviewer: M.Iosifescu MSC: 60F17 60G60 × Cite Format Result Cite Review PDF
Foiaş, Ciprian; Temam, R. Homogeneous statistical solutions of Navier-Stokes equations. (English) Zbl 0517.76055 Sel. Stud.: Physics-astrophysics, mathematics, history of science, Vol. dedic. A. Einstein, 175-196 (1982). MSC: 76F05 76F99 76D05 × Cite Format Result Cite Review PDF
Ivanov, A. V.; Leonenko, N. N. Invariance principle for estimating the correlation function of a homogeneous isotropic random field. (English) Zbl 0484.60044 Ukr. Math. J. 33, 241-249 (1982). MSC: 60G60 60B10 62M10 62M15 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Ivanov, A. V.; Leonenko, N. N. On the invariance principle for an estimation of the correlation function of a homogeneous isotopic random field. (Russian) Zbl 0467.60055 Ukr. Mat. Zh. 33, 313-323 (1981). MSC: 60G60 60B10 62M10 62M15 × Cite Format Result Cite Review PDF Full Text: DOI
Yadrenko, M. I. Spectral theory of stochastic fields. (Spektral’naya teoriya sluchajnykh polej). (Russian) Zbl 0441.60055 Kiev: Izdatel’stvo pri Kievskom Gosudarstvennom Universitete Izdatel’skogo Ob”edineniya ”Vishcha Shkola”. 208 p. R. 2.00 (1980). MSC: 60G60 60G12 60G25 60G30 60-02 × Cite Format Result Cite Review PDF