0447803 20240103210657.420150925235959.9 000380563100006 10.1007/978-3-0348-0909-2_6 32 s. P cav_un_epca*0447805978-3-0348-0908-51050-6977157-188ChamSpringer2015 Stochastic wave equation Riemannian manifold homogeneous space cav_un_auth*0202382 Brzezniak Z. GB cav_un_auth*0260292 Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics Ondreját Martin UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2015/SI/ondrejat-0447803.pdf cav_un_auth*0263519 GAP201/10/0752 GA ČR CEZ:AV0Z10750506 In these lecture notes we have attempted to elucidate the ideas behind the proof of the global existence of solutions to stochastic geometric wave equations whose solutions take values in a special class of Riemannian manifolds (which includes the two-dimensional sphere) published recently by the authors, see [10]. In particular, we aimed at those readers who could be frightened by the language of differential geometry. cav_un_auth*0319959 Stochastic analysis and applications at the Centre Interfacultaire Bernoulli, Ecole Polytechnique Fédérale de Lausanne 09.01.2012-29.6.2012 Lausanne CH BA 2016 PR RVO:67985556 http://hdl.handle.net/11104/0249581 S 2015 000380563100006 WOS cav_un_epca*0447805 Stochastic Analysis: A Series of Lectures 978-3-0348-0908-5 1050-6977 157 188 Cham Springer 2015 Progress in Probability 68