Here are my papers that are published or in press.

Preprints of them can be found at arXiv here.

**2020**

(with H. Lyu and D. Sivakoff) Stretched exponential decay for subcritical parking times on Z^d. *Random Structures and Algorithms.*

(with J. Fickenscher) The number of ergodic measures for transitive shifts with the regular bispecial condition. *Ergodic Theory and Dynamical Systems.*

(with B. Bock, C. Newman, and V. Sidoravicius) Percolation of finite clusters and shielded paths. *Journal of Statistical Physics.*

(with M. Bernstein and T. Greenwood) Sublinear variance in Euclidean first-passage percolation. *Stochastic Processes and Their Applications.*

(with D. Harper) Non-optimality of invaded geodesics in 2D critical first-passage percolation. *In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius.*

(with A. Sen) Zero-temperature Glauber dynamics on the 3-regular tree and the median process. *Probability Theory and Related Fields.*

**2019**

(with J. Hanson and P. Sosoe) Strict inequality for the chemical distance exponent in two-dimensional critical percolation. *Communications on Pure and Applied Mathematics.*

(with P. Tang) Superlinearity of geodesic length in 2D critical first-passage percolation. *Sojourns in Probability Theory and Statistical Physics - II.*

(with J. Hanson, C. Houdré, and C. Xu) Lower bounds for fluctuations in first-passage percolation for general distributions. *Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques.*

Random growth models: shape and convergence rate. Abridgement in IAMP bulletin, Jan. 2019.

**2018**

(with J. Gravner, M. Junge, H. Lyu, and D. Sivakoff) Parking on transitive unimodular graphs. *Annals of Applied Probability.*

(edited with F. Rassoul-Agha and T. Seppäläinen) Random growth models. Proceedings from the 2017 AMS Short Course.

(with J. Hanson and P. Sosoe) Arm events in two-dimensional invasion percolation. *Journal of Statistical Physics.*

Random growth models: shape and convergence rate. To appear in *AMS Proceedings from the short course ``random growth models.''*

(with D. Sivakoff and L. Petrov) Coarsening model on Z^d with biased zero-energy flips and an exponential large deviation bound for ASEP. *Communications in Mathematical Physics.*

(with J. Hanson and W.-K. Lam) The size of the boundary in first-passage percolation. *Annals of Applied Probability.*

**2017**

(with J. Hanson and P. Sosoe) On the chemical distance in critical percolation. *Electronic Journal of Probability.*

(with A. Auffinger and J. Hanson) 50 years of first-passage percolation. *AMS University Lecture Series, Vol. 68.*

**2016**

(with X. Wang) Entropy reduction in Euclidean first-passage percolation. *Electronic Journal of Probability.*

(with F. Rassoul-Agha and T. Seppalainen) Random growth models. *Notices of the American Mathematical Society.*

(with J. Hanson) Bigeodesics in first-passage percolation. *Communications in Mathematical Physics.*

(with W.-K. Lam and X. Wang) Asymptotics for 2D critical first-passage percolation. *Annals of Probability.*

(with N. Kubota) Rate of convergence in first-passage percolation under low moments. *Stochastic Processes and their Applications.*

(with H. Kogan, C. Newman, and V. Sidoravicius) Coarsening with a frozen vertex. *Electronic Communications in Probability.*

**2015**

(with J. Fickenscher) On the number of ergodic measures for minimal shifts with eventually constant complexity growth. *Ergodic Theory and Dynamical Systems.*

(with D. Ahlberg and V. Sidoravicius) Inhomogeneous first-passage percolation. *Electronic Journal of Probability.*

(with S. Eckner, H. Kogan, C. Newman and V. Sidoravicius) Coarsening dynamics on Z^d with frozen vertices. *Journal of Statistical Physics.*

**2014**

(with A. Auffinger and J. Hanson) Rate of convergence of the mean for sub-additive ergodic sequences. *Advances in Mathematics.*

(with J. Hanson and P. Sosoe) Subdiffusive concentration in first-passage percolation. *Electronic Journal of Probability.*

(with J. Hanson and P. Sosoe) Sublinear variance in first-passage percolation for general distributions. *Probability Theory and Related Fields.*

**2013**

(with C. Newman and V. Sidoravicius) Absence of site percolation at criticality in Z^d x {0,1}. *Random Structures and Algorithms*.

(with H. Kogan, C. Newman and V. Sidoravicius) Fixation for coarsening dynamics in 2D slabs. *Electronic Journal of Probability.*

(with A. Auffinger and J. Hanson) Limiting geodesics for first-passage percolation on subsets of Z^2. *Annals of Applied Probability*.

(with H. Kogan, C. Newman and V. Sidoravicius) Coarsening in 2D slabs. *Topics in Percolative and Disordered Systems*.

**2012**

(with A. Auffinger) The scaling relation chi = 2xi - 1 for directed polymers in a random environment. *ALEA*.

(with J. Hanson) Busemann functions and infinite geodesics in two dimensional first-passage percolation. *Communications in Mathematical Physics.*

(with J. Hanson and P. Sosoe) Subdiffusivity of random walk on the 2d invasion percolation cluster. *Stochastic Processes and their Applications.*

**2011**

(with L.-P. Arguin) On the number of ground states of the Edwards-Anderson spin glass model. *Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques.*

(with A. Auffinger) A simplified proof of the relation between scaling exponents in first-passage percolation. *Annals of Probability*.

(with A. Auffinger) Differentiability at the edge of the percolation cone and related results in first-passage percolation. *Probability Theory and Related Fields*.

**2010**

(with L.-P. Arguin) Short-range spin glasses and Random Overlap Structures. *Journal of Statistical Physics*.

(with A. Sapozhnikov) Limit theorems for 2D invasion percolation. *Annals of Probability*.

(with M. Hochman) Examples of non-polygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models. *Annals of Applied Probability*.

**2009**

(with L.-P. Arguin, C. Newman and D. Stein) Uniqueness of ground states for short-range spin glasses in the half-plane. *Communications in Mathematical Physics.*

(with A. Sapozhnikov) Outlets of 2D invasion percolation and multiple-armed incipient infinite clusters. *Probability Theory and Related Fields.*

**2008**

(with C. L. Winter) A non-Markovian model of rill erosion. *Networks and Heterogeneous Media.*

(with A. Sapozhnikov and B. Vagvolgyi) Relations between invasion percolation and critical percolation in two dimensions. *Annals of Probability.*