1. Croydon, D.A., Kato, T., Sasada, M., Tsujimoto, S.: Dynamics of the box-ball system with random initial conditions via pitman’s transformation. arXiv:1806.02147 (2018)
2. Dedecker, J., Rio, E.: On the functional central limit theorem for stationary processes. Ann. l’IHP Probab. Stat. 36, 1–34 (2000)
3. Durrett, R.: Probability: Theory and Examples, 4th edn, Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge University Press, Cambridge (2010)
4. Dembo, A., Zeitouni, O.: Large Deviations Techniques and Applications, vol. 38. Springer, Berlin (2009)
5. Feller, W.: An Introduction to Probability Theory and Its Applications, vol. I. Wiley, New York (1957)