# Stochastic processes on manifolds

March 1, 2021 — March 1, 2021

TBD.

## 1 References

Adler, Robert J. 2010.

*The Geometry of Random Fields*.
Adler, Robert J., and Taylor. 2007.

*Random Fields and Geometry*. Springer Monographs in Mathematics 115.
Adler, Robert J, Taylor, and Worsley. 2016.

*Applications of Random Fields and Geometry Draft*.
Bhattacharya, and Bhattacharya. 2012.

*Nonparametric Inference on Manifolds: With Applications to Shape Spaces*. Institute of Mathematical Statistics Monographs.
Borovitskiy, Terenin, Mostowsky, et al. 2020. “Matérn Gaussian Processes on Riemannian Manifolds.”

*arXiv:2006.10160 [Cs, Stat]*.
Calandra, Peters, Rasmussen, et al. 2016. “Manifold Gaussian Processes for Regression.” In

*2016 International Joint Conference on Neural Networks (IJCNN)*.
Chikuse, and 筑瀬. 2003.

*Statistics on Special Manifolds*.
Feragen, and 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*.
Lindgren, Rue, and 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)*.
Manton. 2013. “A Primer on Stochastic Differential Geometry for Signal Processing.”

*IEEE Journal of Selected Topics in Signal Processing*.
Yaglom. 1961. “Second-Order Homogeneous Random Fields.”

*Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 2: Contributions to Probability Theory*.