For the inhomogeneous exponential corner growth model, the paper proves explicit variational formulas for the growth asymptotics, identifies the limit shape with flat segments and spikes, and derives the disordered TASEP flux and height functions.
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Flats, spikes and crevices: the evolving shape of the inhomogeneous corner growth model
For the inhomogeneous exponential corner growth model, the paper proves explicit variational formulas for the growth asymptotics, identifies the limit shape with flat segments and spikes, and derives the disordered TASEP flux and height functions.