Li–Yau gradient estimate for compact manifolds with negative part of Ricci curvature in the Kato class C Rose Annals of Global Analysis and Geometry 55 (3), 443-449, 2019 | 35 | 2019 |
The Kato class on compact manifolds with integral bounds on the negative part of Ricci curvature C Rose, P Stollmann Proceedings of the American Mathematical Society 145 (5), 2199-2210, 2017 | 25 | 2017 |
Heat kernel upper bound on Riemannian manifolds with locally uniform Ricci curvature integral bounds C Rose The Journal of Geometric Analysis 27 (2), 1737-1750, 2017 | 23 | 2017 |
Geometric and spectral estimates based on spectral Ricci curvature assumptions G Carron, C Rose https://arxiv.org/pdf/1808.06965.pdf, 2018 | 21 | 2018 |
Distance bounds for graphs with some negative Bakry-Émery curvature S Liu, F Münch, N Peyerimhoff, C Rose Analysis and Geometry in Metric Spaces 7 (1), 1-14, 2019 | 17 | 2019 |
Spectrally positive Bakry-Émery Ricci curvature on graphs F Münch, C Rose Journal de Mathématiques Pures et Appliquées 143, 334-344, 2020 | 15 | 2020 |
A quantitative Carleman estimate for second-order elliptic operators I Nakić, C Rose, M Tautenhahn Proceedings of the Royal Society of Edinburgh Section A: Mathematics 149 (4 …, 2019 | 12 | 2019 |
Manifolds with Ricci curvature in the Kato class: heat kernel bounds and applications C Rose, P Stollmann arXiv preprint arXiv: 1804.04094, 2018 | 11 | 2018 |
Liouville property and non-negative Ollivier curvature on graphs J Jost, F Münch, C Rose arXiv preprint arXiv:1903.10796, 2019 | 10 | 2019 |
Heat kernel estimates based on Ricci curvature integral bounds C Rose | 9 | 2017 |
Almost positive Ricci curvature in Kato sense--an extension of Myers' theorem C Rose arXiv preprint arXiv:1907.07440, 2019 | 7 | 2019 |
Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains X Ramos Olivé, C Rose, L Wang, G Wei Mathematische Nachrichten 296 (8), 3559-3578, 2023 | 6 | 2023 |
Eigenvalue estimates for Kato-type Ricci curvature conditions C Rose, G Wei Analysis & PDE 15 (7), 1703-1724, 2022 | 5 | 2022 |
Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials A Dicke, C Rose, A Seelmann, M Tautenhahn arXiv preprint arXiv:2011.01801, 2020 | 4 | 2020 |
Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions O Post, X Ramos Olivé, C Rose https://arxiv.org/abs/2007.04120, 2020 | 3 | 2020 |
Multiscale unique continuation properties of eigenfunctions D Borisov, I Nakić, C Rose, M Tautenhahn, I Veselić Operator semigroups meet complex analysis, harmonic analysis and …, 2015 | 2 | 2015 |
Unique continuation estimates on manifolds with Ricci curvature bounded below C Rose, M Tautenhahn Journal of Mathematical Physics 65 (4), 2024 | 1 | 2024 |
Anchored heat kernel upper bounds on graphs with unbounded geometry and anti-trees M Keller, C Rose Calculus of Variations and Partial Differential Equations 63 (1), 20, 2024 | 1 | 2024 |
Bounds on the First Betti Number: An Approach via Schatten Norm Estimates on Semigroup Differences M Hansmann, C Rose, P Stollmann The Journal of Geometric Analysis 32 (4), 115, 2022 | 1* | 2022 |
Gaussian upper bounds, volume doubling and Sobolev inequalities on graphs M Keller, C Rose arXiv preprint arXiv:2406.19879, 2024 | | 2024 |