# Integrable fluctuations in the KPZ universality class

@inproceedings{Remenik2022IntegrableFI, title={Integrable fluctuations in the KPZ universality class}, author={Daniel Remenik}, year={2022} }

A BSTRACT . The KPZ ﬁxed point is a scaling invariant Markov process which arises as the universal scaling limit of a broad class of models of random interface growth in one dimension, the one-dimensional KPZ universality class. In this survey we review the construction of the KPZ ﬁxed point and some of the history that led to it, in particular through the exact solution of the totally asymmetric simple exclusion process, a special solvable model in the class. We also explain how the…

## 2 Citations

### Non-intersecting path constructions for TASEP with inhomogeneous rates and the KPZ fixed point

- Mathematics
- 2022

. We consider a discrete-time TASEP, where each particle jumps according to Bernoulli random variables with particle-dependent and time-inhomogeneous parameters. We use the combinatorics of the…

### An invariance principle for the 1D KPZ equation

- Mathematics
- 2022

A BSTRACT . Consider a discrete one-dimensional random surface whose height at a point grows as a function of the heights at neighboring points plus an independent random noise. Assuming that this…

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