238 citations · 426 across the 31 of their papers we have counts for
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math.PR2018
Existence, uniqueness and coalescence of directed planar geodesics: proof via the increment-stationary growth process
Timo Seppäläinen
We present a proof of the almost sure existence, uniqueness and coalescence of directed semi-infinite geodesics in planar growth models that is based on properties of an increment-…
math.PR2018★ 23 cited
Joint distribution of Busemann functions in the exactly solvable corner growth model
Wai-Tong Louis Fan, Timo Seppäläinen
The 1+1 dimensional corner growth model with exponential weights is a centrally important exactly solvable model in the Kardar-Parisi-Zhang class of statistical mechanical models.…
math.PR2018★ 15 cited
Large deviations and wandering exponent for random walk in a dynamic beta environment
Márton Balázs, Firas Rassoul-Agha, Timo Seppäläinen
Random walk in a dynamic i.i.d. beta random environment, conditioned to escape at an atypical velocity, converges to a Doob transform of the original walk. The Doob-transformed env…