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Additional resources for Analysis and stochastics of growth processes and interface models
Ferrari, P. A. and Martin, J. B. (2007). Stationary distributions of multi-type totally asymmetric exclusion processes. Ann. Probab. 35(3), 807–32. Ferrari, P. L. (2004). Polynuclear growth on a ﬂat substrate and edge scaling of GOE eigenvalues. Comm. Math. Phys. 252(1–3), 77–109. 36 Analysis and stochastics of growth processes and interface models Fulton, W. (1997). Young tableaux, Volume 35 of London Mathematical Society Student Texts. Cambridge University Press: Cambridge. With applications to representation theory and geometry.
Sepp¨ al¨ ainen, T. (1996). A microscopic model for the Burgers equation and longest increasing subsequences. Electron. J. Probab. 1, no. 5, approx. 51 pp. (electronic). Sepp¨ al¨ ainen, T. (1997). Increasing sequences of independent points on the planar lattice. Ann. Appl. Probab. 7(4), 886–98. Sepp¨ al¨ ainen, T. (1998a). Coupling the totally asymmetric simple exclusion process with a moving interface. Markov Process. Related Fields 4(4), 593–628. I Brazilian School in Probability (Rio de Janeiro, 1997).
Rassoul-Agha, F. and Sepp¨ al¨ ainen, T. (2006). The random average process and random walk in a space-time random environment in one dimension. Comm. Math. Phys. 266, 499–545. , Sethuraman, S. and Sepp¨ al¨ainen, T. (2007). Existence of the zero range process and a deposition model with superlinear growth rates. Ann. Probab. 35(4), 1201–49. Bal´ azs, M. and Sepp¨ al¨ ainen, T. (2007a). Exact connections between current ﬂuctuations and the second class particle in a class of deposition models.