50 citations · 66 across the 21 of their papers we have counts for
25 papers
On the rigidity of sloped height functions in and non-crossing surfaces
Arka Adhikari, Reza Gheissari, Ron Peled
We consider integer-valued height functions, with general convex interactions, placed on a slope. Sheffield (2003) conjectured that for all slopes, such height functions…
Graph distance and effective resistance of the random walk trace in four and five dimensions
Arka Adhikari, Izumi Okada, Daisuke Shiraishi
In this paper, we prove that the fluctuations of the graph distance and the effective resistance on the trace of a random walk in four and five dimensions converge in distribution…
Phase transition on the fluctuation of the structure of random walk ranges
Arka Adhikari, Izumi Okada
We investigate fluctuation phenomena for the graph distance and the number of cut points associated with random media arising from the range of a random walk. Our results demonstra…
Uniform-in-temperature locality estimates for weakly interacting quantum systems
Arka Adhikari, Joscha Henheik, Marius Lemm +1
The locality of thermal quantum states has emerged as a key input for applications to thermalization, response theory, and efficient simulability. Locality is either captured by th…
Capacity of the range of random walk: Moderate deviations in dimensions 4 and 5
Arka Adhikari, Jiyun Park
We prove a moderate deviation principle for the capacity of the range of random walk in . Depending on the scale of deviation, we get two different regimes. We observ…
The longest increasing subsequence of Brownian separable permutons
Arka Adhikari, Jacopo Borga, Thomas Budzinski +2
We establish a scaling limit result for the length of the longest increasing subsequence of a permutation of size sampled from the Brownian sepa…