Here are my papers that are published or in press.
Preprints of them can be found at arXiv here.
2024
54. (with C. Houdré and A. Özdemir) Fluctuation bounds for first-passage percolation on the square, tube, and torus. ALEA.
2023
53. (with J. Gold, W.-K. Lam, and X. Shen) On the number and size of holes in the growing ball of first-passage percolation. Transactions of the American Mathematical Society.
52. (with J. Hanson, D. Harper, and W.-K. Lam) Transitions for exceptional times in dynamical first-passage percolation. Probability Theory and Related Fields.
2022
51. (with B. Bock) The acceptance profile of invasion percolation at p_c in two dimensions. ALEA.
50. (with G. Brito and J. Hanson) Absence of backward infinite paths for first-passage percolation in arbitrary dimension. Annals of Probability.
49. (with B. Bock and J. Hanson) Random nearest neighbor graphs: the translation invariant case. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
48. (with J. Hanson and W.-K. Lam) Universality of the time constant for 2D critical first-passage percolation. Annals of Applied Probability.
2021
Year of covid-19.
2020
47. (with H. Lyu and D. Sivakoff) Stretched exponential decay for subcritical parking times on Z^d. Random Structures and Algorithms.
46. (with J. Fickenscher) The number of ergodic measures for transitive shifts with the regular bispecial condition. Ergodic Theory and Dynamical Systems.
45. (with B. Bock, C. Newman, and V. Sidoravicius) Percolation of finite clusters and shielded paths. Journal of Statistical Physics.
44. (with M. Bernstein and T. Greenwood) Sublinear variance in Euclidean first-passage percolation. Stochastic Processes and Their Applications.
43. (with D. Harper) Non-optimality of invaded geodesics in 2D critical first-passage percolation. In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius.
42. (with A. Sen) Zero-temperature Glauber dynamics on the 3-regular tree and the median process. Probability Theory and Related Fields.
2019
41. (with J. Hanson and P. Sosoe) Strict inequality for the chemical distance exponent in two-dimensional critical percolation. Communications on Pure and Applied Mathematics.
40. (with P. Tang) Superlinearity of geodesic length in 2D critical first-passage percolation. Sojourns in Probability Theory and Statistical Physics - II.
39. (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.
38. Random growth models: shape and convergence rate. Abridgement in IAMP bulletin, Jan. 2019.
2018
37. (with J. Gravner, M. Junge, H. Lyu, and D. Sivakoff) Parking on transitive unimodular graphs. Annals of Applied Probability.
36. (edited with F. Rassoul-Agha and T. Seppäläinen) Random growth models. Proceedings from the 2017 AMS Short Course.
35. (with J. Hanson and P. Sosoe) Arm events in two-dimensional invasion percolation. Journal of Statistical Physics.
34. Random growth models: shape and convergence rate. To appear in AMS Proceedings from the short course ``random growth models.''
33. (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.
32. (with J. Hanson and W.-K. Lam) The size of the boundary in first-passage percolation. Annals of Applied Probability.
2017
31. (with J. Hanson and P. Sosoe) On the chemical distance in critical percolation. Electronic Journal of Probability.
30. (with A. Auffinger and J. Hanson) 50 years of first-passage percolation. AMS University Lecture Series, Vol. 68.
2016
29. (with X. Wang) Entropy reduction in Euclidean first-passage percolation. Electronic Journal of Probability.
28. (with F. Rassoul-Agha and T. Seppalainen) Random growth models. Notices of the American Mathematical Society.
27. (with J. Hanson) Bigeodesics in first-passage percolation. Communications in Mathematical Physics.
26. (with W.-K. Lam and X. Wang) Asymptotics for 2D critical first-passage percolation. Annals of Probability.
25. (with N. Kubota) Rate of convergence in first-passage percolation under low moments. Stochastic Processes and their Applications.
24. (with H. Kogan, C. Newman, and V. Sidoravicius) Coarsening with a frozen vertex. Electronic Communications in Probability.
2015
23. (with J. Fickenscher) On the number of ergodic measures for minimal shifts with eventually constant complexity growth. Ergodic Theory and Dynamical Systems.
22. (with D. Ahlberg and V. Sidoravicius) Inhomogeneous first-passage percolation. Electronic Journal of Probability.
21. (with S. Eckner, H. Kogan, C. Newman and V. Sidoravicius) Coarsening dynamics on Z^d with frozen vertices. Journal of Statistical Physics.
2014
20. (with A. Auffinger and J. Hanson) Rate of convergence of the mean for sub-additive ergodic sequences. Advances in Mathematics.
19. (with J. Hanson and P. Sosoe) Subdiffusive concentration in first-passage percolation. Electronic Journal of Probability.
18. (with J. Hanson and P. Sosoe) Sublinear variance in first-passage percolation for general distributions. Probability Theory and Related Fields.
2013
17. (with C. Newman and V. Sidoravicius) Absence of site percolation at criticality in Z^d x {0,1}. Random Structures and Algorithms.
16. (with H. Kogan, C. Newman and V. Sidoravicius) Fixation for coarsening dynamics in 2D slabs. Electronic Journal of Probability.
15. (with A. Auffinger and J. Hanson) Limiting geodesics for first-passage percolation on subsets of Z^2. Annals of Applied Probability.
14. (with H. Kogan, C. Newman and V. Sidoravicius) Coarsening in 2D slabs. Topics in Percolative and Disordered Systems.
2012
13. (with A. Auffinger) The scaling relation chi = 2xi - 1 for directed polymers in a random environment. ALEA.
12. (with J. Hanson) Busemann functions and infinite geodesics in two dimensional first-passage percolation. Communications in Mathematical Physics.
11. (with J. Hanson and P. Sosoe) Subdiffusivity of random walk on the 2d invasion percolation cluster. Stochastic Processes and their Applications.
2011
10. (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.
9. (with A. Auffinger) A simplified proof of the relation between scaling exponents in first-passage percolation. Annals of Probability.
8. (with A. Auffinger) Differentiability at the edge of the percolation cone and related results in first-passage percolation. Probability Theory and Related Fields.
2010
7. (with L.-P. Arguin) Short-range spin glasses and Random Overlap Structures. Journal of Statistical Physics.
6. (with A. Sapozhnikov) Limit theorems for 2D invasion percolation. Annals of Probability.
5. (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
4. (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.
3. (with A. Sapozhnikov) Outlets of 2D invasion percolation and multiple-armed incipient infinite clusters. Probability Theory and Related Fields.
2008
2. (with C. L. Winter) A non-Markovian model of rill erosion. Networks and Heterogeneous Media.
1. (with A. Sapozhnikov and B. Vagvolgyi) Relations between invasion percolation and critical percolation in two dimensions. Annals of Probability.