Web4 BOCHEN LIU Problem 1.4 is open in all dimensions. It is mentioned in [3] that Shiryaev has a proof in the plane, but it is never posted. Theorem 1.2 and the discussion afterwards show that, in low dimensions it is quite often that is a nite union of translated lattices. Inspired by this, Chan asked the following weaker version in [3], where ... WebOct 27, 2024 · Chuanwei Gao, Bochen Liu, C. Miao, Yakun Xi; Mathematics. 27 October 2024; We prove a variable coefficient version of the square function estimate of Guth--Wang--Zhang. By a classical argument of Mockenhaupt--Seeger--Sogge, it implies the full range of sharp local smoothing ...
Equilateral triangles in subsets of ℝd of large Hausdorff dimension ...
WebLIU Bochen. Associate Professor ... Israel Journal of Mathematics, 231(1), 123-137. Liu, B. (2024). Group actions, the Mattila integral and applications. Proceedings of the American Mathematical Society, 147(6), 2503-2516. Liu, B. (2024). An L²-identity and pinned distance problem. Geometric and Functional Analysis, 29(1), 283-294. WebPh.D in Mathematics, University of Rochester, USA, 2024. B.S. in Mathematics (Shing-Tung Yau Honor Program), Zhejiang University, 2012 . Professional Experience. 2024 - … herrmann roland
An L2-identity and pinned distance problem SpringerLink
WebFeb 3, 2024 · Spectrality of polytopes and equidecomposability by translations. Nir Lev, Bochen Liu. Let be a polytope in (not necessarily convex or connected). We say that is spectral if the space has an orthogonal basis consisting of exponential functions. A result due to Kolountzakis and Papadimitrakis (2002) asserts that if is a spectral polytope, then ... Web2024-2024 Bochen Liu (Postdoc). 2024-2024 Alberto Debernardi (Postdoc). Joint supervision with Andrei Lerner. 2024- Gilad Reti (M.Sc.). 2024- Mark Etkind (M.Sc.) Referee for Journals (Selected Titles) Annals of Mathematics, Inventiones mathematicae, Duke Math. Journal, Journal of the European Math. WebJinha Kim (IBS, Discrete Mathematics group, Korea) Hsin-Hao Lai (National Kaohsiung Normal University, Taiwan) Wei-Tian Li (National Chung Hsing University, Taiwan) Ben Lund (IBS, Discrete Mathematics group, Korea) Bochen Liu (Southern University of Science and Technology in Shenzhen, China) Eyvi Palsson (Virginia Tech, USA) maya figurine with removable helmet