Cleanthous, Galatia; Porcu, Emilio; White, Philip Regularity and approximation of Gaussian random fields evolving temporally over compact two-point homogeneous spaces. (English) Zbl 07471956 Test 30, No. 4, 836-860 (2021). MSC: 60G60 62G20 41A25 46E35 PDF BibTeX XML Cite \textit{G. Cleanthous} et al., Test 30, No. 4, 836--860 (2021; Zbl 07471956) Full Text: DOI OpenURL
Caponera, Alessia SPHARMA approximations for stationary functional time series on the sphere. (English) Zbl 1477.62396 Stat. Inference Stoch. Process. 24, No. 3, 609-634 (2021). MSC: 62R10 62M15 62M10 62M40 60F05 60G15 60G60 PDF BibTeX XML Cite \textit{A. Caponera}, Stat. Inference Stoch. Process. 24, No. 3, 609--634 (2021; Zbl 1477.62396) Full Text: DOI arXiv OpenURL
Cleanthous, Galatia; Georgiadis, Athanasios G.; Lang, Annika; Porcu, Emilio Regularity, continuity and approximation of isotropic Gaussian random fields on compact two-point homogeneous spaces. (English) Zbl 1456.60122 Stochastic Processes Appl. 130, No. 8, 4873-4891 (2020). MSC: 60G60 60G15 43A35 PDF BibTeX XML Cite \textit{G. Cleanthous} et al., Stochastic Processes Appl. 130, No. 8, 4873--4891 (2020; Zbl 1456.60122) Full Text: DOI OpenURL
Leonenko, Nikolai; Vaz, Jayme jun. Spectral analysis of fractional hyperbolic diffusion equations with random data. (English) Zbl 1436.35007 J. Stat. Phys. 179, No. 1, 155-175 (2020). MSC: 35A08 35R11 35R60 35R01 35L15 35P05 PDF BibTeX XML Cite \textit{N. Leonenko} and \textit{J. Vaz jun.}, J. Stat. Phys. 179, No. 1, 155--175 (2020; Zbl 1436.35007) Full Text: DOI OpenURL
Cheng, Dan; Cammarota, Valentina; Fantaye, Yabebal; Marinucci, Domenico; Schwartzman, Armin Multiple testing of local maxima for detection of peaks on the (celestial) sphere. (English) Zbl 1446.62254 Bernoulli 26, No. 1, 31-60 (2020). Reviewer: Tamás Mátrai (Edinburgh) MSC: 62M40 62J15 60G60 78A40 62P35 85A25 62R40 PDF BibTeX XML Cite \textit{D. Cheng} et al., Bernoulli 26, No. 1, 31--60 (2020; Zbl 1446.62254) Full Text: DOI arXiv Euclid OpenURL
Broadbridge, Phil; Kolesnik, Alexander D.; Leonenko, Nikolai; Olenko, Andriy Random spherical hyperbolic diffusion. (English) Zbl 1427.35377 J. Stat. Phys. 177, No. 5, 889-916 (2019). MSC: 35R60 60G60 35R01 60G15 33C55 35P10 60G40 PDF BibTeX XML Cite \textit{P. Broadbridge} et al., J. Stat. Phys. 177, No. 5, 889--916 (2019; Zbl 1427.35377) Full Text: DOI arXiv Link OpenURL
Malyarenko, A. Spectral expansions of random sections of homogeneous vector bundles. (English) Zbl 1414.83106 Theory Probab. Math. Stat. 97, 151-165 (2018) and Teor. Jmovirn. Mat. Stat. 97, 142-156 (2017). MSC: 83F05 85A25 60G60 83C60 62P35 83C10 PDF BibTeX XML Cite \textit{A. Malyarenko}, Theory Probab. Math. Stat. 97, 151--165 (2018; Zbl 1414.83106) Full Text: DOI arXiv OpenURL
Leonenko, N. N.; Ruiz-Medina, M. D. Increasing domain asymptotics for the first Minkowski functional of spherical random fields. (English) Zbl 1409.60085 Theory Probab. Math. Stat. 97, 127-149 (2018); and Teor. Jmovirn. Mat. Stat. 97, 120-141 (2017). MSC: 60G60 60F05 60G10 62E20 PDF BibTeX XML Cite \textit{N. N. Leonenko} and \textit{M. D. Ruiz-Medina}, Theory Probab. Math. Stat. 97, 127--149 (2018; Zbl 1409.60085) Full Text: DOI Link OpenURL
Lan, Xiaohong; Marinucci, Domenico; Xiao, Yimin Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields. (English) Zbl 1390.60185 Stochastic Processes Appl. 128, No. 4, 1294-1315 (2018). MSC: 60G60 60G17 60G15 42C40 PDF BibTeX XML Cite \textit{X. Lan} et al., Stochastic Processes Appl. 128, No. 4, 1294--1315 (2018; Zbl 1390.60185) Full Text: DOI arXiv OpenURL
Leonenko, Nikolai; Malyarenko, Anatoliy Matérn class tensor-valued random fields and beyond. (English) Zbl 1373.60088 J. Stat. Phys. 168, No. 6, 1276-1301 (2017). MSC: 60G60 62M40 PDF BibTeX XML Cite \textit{N. Leonenko} and \textit{A. Malyarenko}, J. Stat. Phys. 168, No. 6, 1276--1301 (2017; Zbl 1373.60088) Full Text: DOI arXiv OpenURL
Malyarenko, Anatoliy; Ostoja-Starzewski, Martin Spectral expansions of homogeneous and isotropic tensor-valued random fields. (English) Zbl 1348.60077 Z. Angew. Math. Phys. 67, No. 3, Article ID 59, 20 p. (2016). MSC: 60G60 60H05 60G57 74B05 PDF BibTeX XML Cite \textit{A. Malyarenko} and \textit{M. Ostoja-Starzewski}, Z. Angew. Math. Phys. 67, No. 3, Article ID 59, 20 p. (2016; Zbl 1348.60077) Full Text: DOI OpenURL
Marinucci, Domenico; Vadlamani, Sreekar High-frequency asymptotics for Lipschitz-Killing curvatures of excursion sets on the sphere. (English) Zbl 1334.60089 Ann. Appl. Probab. 26, No. 1, 462-506 (2016). MSC: 60G60 62M15 53C65 42C40 42C15 PDF BibTeX XML Cite \textit{D. Marinucci} and \textit{S. Vadlamani}, Ann. Appl. Probab. 26, No. 1, 462--506 (2016; Zbl 1334.60089) Full Text: DOI arXiv Euclid OpenURL
Guinness, Joseph; Fuentes, Montserrat Isotropic covariance functions on spheres: some properties and modeling considerations. (English) Zbl 1328.62543 J. Multivariate Anal. 143, 143-152 (2016). MSC: 62M20 62M30 62M40 PDF BibTeX XML Cite \textit{J. Guinness} and \textit{M. Fuentes}, J. Multivariate Anal. 143, 143--152 (2016; Zbl 1328.62543) Full Text: DOI OpenURL
Lang, Annika; Schwab, Christoph Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations. (English) Zbl 1328.60126 Ann. Appl. Probab. 25, No. 6, 3047-3094 (2015). MSC: 60G60 60G15 60G17 60H15 60H35 33C55 41A25 65C30 65T50 65N30 PDF BibTeX XML Cite \textit{A. Lang} and \textit{C. Schwab}, Ann. Appl. Probab. 25, No. 6, 3047--3094 (2015; Zbl 1328.60126) Full Text: DOI arXiv Euclid OpenURL
Cammarota, Valentina; Marinucci, Domenico On the limiting behaviour of needlets polyspectra. (English. French summary) Zbl 1325.60014 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 3, 1159-1189 (2015). MSC: 60F05 60G60 60G15 62M15 42C40 PDF BibTeX XML Cite \textit{V. Cammarota} and \textit{D. Marinucci}, Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 3, 1159--1189 (2015; Zbl 1325.60014) Full Text: DOI arXiv Euclid OpenURL
Baldi, P.; Trapani, S. Fourier coefficients of invariant random fields on homogeneous spaces of compact Lie groups. (English. French summary) Zbl 1353.60008 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 2, 648-671 (2015). Reviewer: Gennadiy M. Fel’dman (Khar’kov) MSC: 60B15 60E05 43A30 PDF BibTeX XML Cite \textit{P. Baldi} and \textit{S. Trapani}, Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 2, 648--671 (2015; Zbl 1353.60008) Full Text: DOI arXiv Euclid OpenURL
Marinucci, Domenico; Vadlamani, Sreekar A note on global suprema of band-limited spherical random functions. (English) Zbl 1329.60140 Stat. Probab. Lett. 96, 141-148 (2015). MSC: 60G60 60F15 62M15 53C65 42C15 PDF BibTeX XML Cite \textit{D. Marinucci} and \textit{S. Vadlamani}, Stat. Probab. Lett. 96, 141--148 (2015; Zbl 1329.60140) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{P. Baldi} and \textit{M. Rossi}, Stochastic Processes Appl. 124, No. 5, 1910--1941 (2014; Zbl 1319.60104) Full Text: DOI arXiv OpenURL
Leonenko, Nikolai Book review of: Domenico Marinucci und Giovanni Peccati, Random fields on the sphere: representation, limit theorems and cosmological applications. (English) Zbl 1282.00007 J. Time Ser. Anal. 34, No. 5, 602-603 (2013). MSC: 00A17 60-02 60G60 62M15 60D05 60B15 PDF BibTeX XML Cite \textit{N. Leonenko}, J. Time Ser. Anal. 34, No. 5, 602--603 (2013; Zbl 1282.00007) Full Text: DOI OpenURL