61 citations · 339 across the 34 of their papers we have counts for
39 papers
Active Phase for the Stochastic Sandpile on Z
Christopher Hoffman, Yiping Hu, Jacob Richey +1
We prove that the critical value of the one-dimensional Stochastic Sandpile Model is less than one. This verifies a conjecture of Rolla and Sidoravicius.
The number of geodesics in planar first-passage percolation grows sublinearly
Daniel Ahlberg, Jack Hanson, Christopher Hoffman
We study a random perturbation of the Euclidean plane, and show that it is unlikely that the distance-minimizing path between the two points can be extended into an infinite distan…
Active Phase for Activated Random Walk on Z
Christopher Hoffman, Jacob Richey, Leonardo T. Rolla
We consider the Activated Random Walk model on . In this model, each particle performs a continuous-time simple symmetric random walk, and falls asleep at rate . A s…
Geodesic rays and exponents in ergodic planar first passage percolation
Gerandy Brito, Christopher Hoffman
We study first passage percolation on the plane for a family of invariant, ergodic measures on . We prove that for all of these models the asymptotic shape is the $\e…
Scaling limits of permutations avoiding long decreasing sequences
Christopher Hoffman, Douglas Rizzolo, Erik Slivken
We determine the scaling limit for permutations conditioned to have longest decreasing subsequence of length at most . These permutations are also said to avoid the pattern $(d+…
Nonexistence of Bigeodesics in Integrable Models of Last Passage Percolation
Riddhipratim Basu, Christopher Hoffman, Allan Sly
Bi-infinite geodesics are fundamental objects of interest in planar first passage percolation. A longstanding conjecture states that under mild conditions there are almost surely n…