A combinatorial identity for the speed of growth in an anisotropic KPZ model
Sunil Chhita
Bonn University, GermanyPatrik L. Ferrari
Bonn University, Germany
![A combinatorial identity for the speed of growth in an anisotropic KPZ model cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-aihpd-volume-4-issue-4.png&w=3840&q=90)
Abstract
The speed of growth for a particular stochastic growth model introduced by Borodin and Ferrari in [5], which belongs to the KPZ anisotropic universality class, was computed using multi-time correlations. The model was recently generalized by Toninelli in [38] and for this generalization the stationarymeasure is known but the time correlations are unknown. In this note, we obtain algebraic and combinatorial proofs for the expression of the speed of growth from the prescribed dynamics.
Cite this article
Sunil Chhita, Patrik L. Ferrari, A combinatorial identity for the speed of growth in an anisotropic KPZ model. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 4 (2017), no. 4, pp. 453–477
DOI 10.4171/AIHPD/45