BH
Bang-Xian Han
math.MGmath.FAmath.DGmath.APmath.PRmath.SPBakry–Émery theoryCurvature-dimension conditionDirichlet formMetric measure space
On Valency
published · living versionsW_cgx8tjgt·v1 · currentpublished
Preprints & journals
30 papers in the corpus · 2014–2026Optimal Transport and the ABP Method in Higher Codimension2608.27248v1 · Bang-Xian Han, Zhe-Feng Xu2026 · 0 citationsarXiv
Contracting Transport Maps on Riemannian Manifolds2607.27711v2 · Shrey Aryan, Bang-Xian Han, Zhuo-Nan Zhu2026 · 0 citationsarXiv
Wasserstein Barycenter Convexity Detects Hilbertian Geometry2606.28213v1 · Bang-Xian Han, Deng-Yu Liu2026 · 0 citationsarXiv
Weak Quadruple Comparison and Structure Theory Beyond Alexandrov Geometry2606.22777v2 · Bang-Xian Han, Liming Yin2026 · 0 citationsarXiv
Two-mode stability for multi-marginal optimal transport maps2606.23037v1 · Bang-Xian Han, Zhuo-Nan Zhu2026 · 0 citationsarXiv
Quantitative Stability of Wasserstein Barycenters over Alexandrov Spaces with Lower Curvature Bounds2605.25448v1 · Bang-Xian Han, Zhuo-Nan Zhu2026 · 0 citationsarXiv
Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit2605.25453v2 · Bang-Xian Han2026 · 0 citationsarXiv
Stability of optimal transport on metric measure spaces2602.19175v2 · Bang-Xian Han, Zhuo-Nan Zhu2026 · 0 citationsarXiv
A new characterization of Sobolev spaces on Lipschitz differentiability spaces2504.16657v2 · Bang-Xian Han, Zhe-Feng Xu, Zhuo-Nan Zhu2025 · 0 citationsarXiv
Barycenter curvature-dimension condition for extended metric measure spaces2502.06793v2 · Bang-Xian Han, Deng-yu Liu, Zhuo-nan Zhu2025 · 0 citationsarXiv
ABP estimate on metric measure spaces via optimal transport2408.10725v1 · Bang-Xian Han2024 · 0 citationsarXiv
Maz'ya-Shaposhnikova meet Bishop-Gromov2402.11174v1 · Bang-Xian Han, Andrea Pinamonti, Zhefeng Xu et al.2024 · 1 citationarXiv
Sharp uncertainty principles on metric measure spaces2309.00847v1 · Bang-Xian Han, Zhefeng Xu2023 · 1 citationarXiv
Sharp and rigid isoperimetric inequality in metric measure spaces with non-negative Ricci curvature2212.11570v4 · Bang-Xian Han2022 · 1 citationSCIENCE CHINA Mathematic 2026+
A sharp isoperimetric inequality in metric measure spaces with non-negative Ricci curvature2111.02944v1 · Bang-Xian Han2021 · 0 citationsarXiv
On the asymptotic behaviour of the fractional Sobolev seminorms in metric measure spaces: Bourgain-Brezis-Mironescu's theorem revisited2110.05980v1 · Bang-Xian Han, Andrea Pinamonti2021 · 4 citationsarXiv
On the asymptotic behaviour of the fractional Sobolev seminorms in metric measure spaces: asymptotic volume ratio, volume entropy and rigidity2108.06996v3 · Bang-Xian Han, Andrea Pinamonti2021 · 1 citationarXiv
Curvature-dimension conditions under time change.35250155 · Han, Bang-Xian, Sturm, Karl-Theodor2022 · 4 citationsAnnali di matematica pura ed applicata. 2022;201(2):801-822
Rigidity of some functional inequalities on RCD spaces2001.07930v3 · Bang-Xian Han2020 · 4 citationsJ. Math. Pures Appl. (9) 145 (2021), 163-203
Curvature-dimension conditions for diffusions under time change1907.05761v1 · Bang-Xian Han, Karl-Theodor Sturm2019 · 2 citationsarXiv
The sharp -Poincaré inequality under the measure contraction property1905.11980v2 · Bang-Xian Han2019 · 1 citationManuscripta Math. 162 (2020), no. 3-4, 457-471
Sharp Poincaré inequalities under Measure Contraction Property1905.05465v2 · Bang-Xian Han, Emanuel Milman2019 · 3 citationsarXiv
Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds1902.00942v3 · Bang-XIan Han2019 · 19 citationsAdv. Math. 373 (2020), 107327, 31 pp
Ricci tensor on smooth metric measure space with boundary1709.10143v1 · Bang-Xian Han2017 · 1 citationThe main result of this paper is contained in the subsequent paper arXiv: 1902.00942
Angles between curves in metric measure spaces1701.05000v1 · Bang-Xian Han, Andrea Mondino2017 · 3 citationsAnalysis and Geometry in metric spaces, Vol.5, Num.1, (2017), 47--68
Sobolev spaces on warped products1512.03177v2 · Nicola Gigli, Bang-Xian Han2015 · 32 citationsJ. Funct. Anal. 275 (2018)
Conformal transformation on metric measure spaces1511.03115v3 · Bang-Xian Han2015 · 18 citationsPotential Anal. 51 (2019), no. 1, 127-146
Ricci tensor on spaces1412.0441v4 · Bang-Xian Han2014 · 23 citationsThe Journal of Geometric Analysis, April 2018, Volume 28, Issue 2, pp 1295-1314
Independence on of weak upper gradients on RCD spaces1407.7350v1 · Nicola Gigli, Bangxian Han2014 · 47 citationsJournal of Functional Analysis Volume 271, Issue 1, 1 July 2016, Pages 1-11
The continuity equation on metric measure spaces1406.6350v1 · Nicola Gigli, Bangxian Han2014 · 52 citationsCalculus of Variations and Partial Differential Equations, 2015
Career total: 40 works. 30 are in this corpus.
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