Bochen Liu

activity

20122022

most citedIntersection between pencils of tubes, discretized sum-product, and radial projections

3 citations · 4 across the 6 of their papers we have counts for

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math.CO2018

Periodic structure of translational multi-tilings in the plane

Bochen Liu

Suppose $f \in L^{1} (R^{d})$ , $Λ \subset R^{d}$ is a finite union of translated lattices such that $f + Λ$ tiles with a weight. We prove that there exists a lattice $L\subse…

math.CO2018

Multi-tiling and equidecomposability of polytopes by lattice translates

Nir Lev, Bochen Liu

We characterize the polytopes in $R^{d}$ (not necessarily convex or connected ones) which multi-tile the space by translations along a given lattice. We also give a necessar…