3 citations · 4 across the 3 of their papers we have counts for
7 papers
Exact approximation order and well-distributed sets
Prasuna Bandi, Anish Ghosh, Debanjan Nandi
We prove that for any proper metric space and a function from a suitable class of approximation functions, the Hausdorff dimensions of the set $W_ψ(…
Harmonic measures on Bowditch boundaries of groups hyperbolic relative to virtually nilpotent subgroups
Debanjan Nandi
For a group hyperbolic relative to virtually nilpotent subgroups, on a cusped graph associated to the group, we construct a random walk whose Martin boundary is the Bowditch bounda…
Diophantine approximations, large intersections and geodesics in negative curvature
Anish Ghosh, Debanjan Nandi
In this paper we prove quantitative results about geodesic approximations to submanifolds in negatively curved spaces. Among the main tools is a new and general Jarník-Besicovitch…
A density result for homogeneous Sobolev spaces
Debanjan Nandi
We show that in a bounded Gromov hyperbolic domain smooth functions with bounded derivatives are dense in the homogeneous Sobolev spaces $L^{k…
A density result for homogeneous Sobolev spaces on planar domains
Debanjan Nandi, Tapio Rajala, Timo Schultz
We show that in a bounded simply connected planar domain the smooth Sobolev functions are dense in the homogeneous Sobolev spaces …
Characterizations of generalized John domains in via metric duality
Pawel Goldstein, Zofia Grochulska, Chang-Yu Guo +2
In this paper, we extend the characterization of John disks obtained by Näkki and Väisälä [Exp. Math. 1991] to generalized John domains in higher dimensions under mild assumptions.…