60 citations · 266 across the 44 of their papers we have counts for
51 papers
Directed Spatial Permutations on Asymmetric Tori
Alan Hammond, Tyler Helmuth
We investigate a model of random spatial permutations on two-dimensional tori, and establish that the joint distribution of large cycles is asymptotically given by the Poisson--Dir…
On the Trail of Lost Pennies: player-funded tug-of-war on the integers
Alan Hammond
We study random-turn resource-allocation games. In the Trail of Lost Pennies, a counter moves on . At each turn, Maxine stakes and Mina $b \in [0,\in…
Stake-governed tug-of-war and the biased infinity Laplacian
Yujie Fu, Alan Hammond, Gábor Pete
In tug-of-war, two players compete by moving a counter along edges of a graph, each winning the right to move at a given turn according to the flip of a possibly biased coin. The g…
Collapse and Diffusion in Harmonic Activation and Transport
Jacob Calvert, Shirshendu Ganguly, Alan Hammond
For an -element subset of , select from according to harmonic measure from infinity, remove from , and start a random walk from . If the walk…
Beyond-mean-field effects in Rabi-coupled two-component Bose-Einstein condensate
L Lavoine, A Hammond, A Recati +2
We theoretically calculate and experimentally measure the beyond-mean-field (BMF) equation of state in a coherently-coupled two-component Bose-Einstein condensate (BEC) in the regi…
Exceptional times when the KPZ fixed point violates Johansson's conjecture on maximizer uniqueness
Ivan Corwin, Alan Hammond, Milind Hegde +1
In 2002, Johansson conjectured that the maximum of the Airy process minus the parabola is almost surely achieved at a unique location. This result was proved a decade lat…