Adler, Robert J. 2010. The Geometry of Random Fields. SIAM ed. Philadelphia: Society for Industrial and Applied Mathematics.
Adler, Robert J., and Jonathan E. Taylor. 2007. Random Fields and Geometry. Springer Monographs in Mathematics 115. New York: Springer.
Adler, Robert J, Jonathan E Taylor, and Keith J Worsley. 2016. Applications of Random Fields and Geometry Draft.
Bhattacharya, Abhishek, and Rabi Bhattacharya. 2012. Nonparametric Inference on Manifolds: With Applications to Shape Spaces. Institute of Mathematical Statistics Monographs. Cambridge: Cambridge University Press.
Borovitskiy, Viacheslav, Alexander Terenin, Peter Mostowsky, and Marc Peter Deisenroth. 2020. “Matérn Gaussian Processes on Riemannian Manifolds.” arXiv:2006.10160 [Cs, Stat], June.
Calandra, R., J. Peters, C. E. Rasmussen, and M. P. Deisenroth. 2016. “Manifold Gaussian Processes for Regression.” In 2016 International Joint Conference on Neural Networks (IJCNN), 3338–45. Vancouver, BC, Canada: IEEE.
Chikuse, Yasuko, and 筑瀬靖子. 2003. Statistics on Special Manifolds. New York, NY: Springer New York.
Feragen, Aasa, and Søren Hauberg. 2016. “Open Problem: Kernel Methods on Manifolds and Metric Spaces. What Is the Probability of a Positive Definite Geodesic Exponential Kernel?” In Conference on Learning Theory, 1647–50. PMLR.
Lindgren, Finn, Håvard Rue, and Johan Lindström. 2011. “An Explicit Link Between Gaussian Fields and Gaussian Markov Random Fields: The Stochastic Partial Differential Equation Approach.” Journal of the Royal Statistical Society: Series B (Statistical Methodology) 73 (4): 423–98.
Manton, Jonathan H. 2013. “A Primer on Stochastic Differential Geometry for Signal Processing.” IEEE Journal of Selected Topics in Signal Processing 7 (4): 681–99.
Yaglom, A. M. 1961. “Second-Order Homogeneous Random Fields.” Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 2: Contributions to Probability Theory, January, 593–622.