Links to Publications
Charalambous N., Lu Z. `L^p spectral theory for the Laplacian on forms.' arXiv:2401.02136, Submitted, 2024
Charalambous N., Lu Z. `Connected essential spectrum: The case of differential forms.' arXiv:2106.01992, To appear, Israel Journal of Mathematics
Charalambous N., Lu Z. `A note on Cheeger's isoperimetric constant.' Journal of Geometric Analysis 32:14pp, 2022
Charalambous N., Leal H., Lu Z. `Spectral gaps on complete Riemannian manifolds.' Contemporary Mathematics 756: 57-67 Geometry of submanifolds, 2020.
Charalambous N., Lu Z. `The spectrum of continuously perturbed operators and the Laplacian on forms.' Differential Geometry Applications 65:227–240, 2019
Charalambous N., Rowlett J. `The heat trace for the drifting Laplacian and Schrodinger operators on manifolds.' The Asian Journal of Mathematics 23:539-559, 2019
Charalambous N., Gross L. `Initial Behavior of Solutions to the Yang-Mills Heat Equation.' Journal of Mathematical Analysis and Applications 451:873–905, 2017
Charalambous N., Lu Z. `Heat kernel estimates and the essential spectrum on weighted manifolds.' Journal of Geometric Analysis 25:536-563, 2015
Charalambous N., Gross L. `Neumann Domination for the Yang-Mills Heat Equation.' Journal of Mathematical Physics 56, 073505, 2015
Charalambous N., Lu Z., Rowlett J. `Eigenvalue Estimates on Bakry-Emery Manifolds.'
Book Chapter. Elliptic and Parabolic Equations, Springer Proceedings in Mathematics and Statistics 119:45-61, 2015
Charalambous N., Lu Z. `The L^1 Liouville Property on Weighted Manifolds.' Contemporary Mathematics 653:65-79, 2015
Charalambous N., Lu Z. `On the Spectrum of the Laplacian.' Mathematische Annalen 359:211-238, 2014
Charalambous N., Gross L.`The Yang Mills Heat Semigroup on Three Manifolds with Boundary.' Communications in Mathematical Physics 317:727-785, 2013
Charalambous N. `Eigenvalue `Estimates for the Bochner Laplacian and Harmonic Forms on Complete Manifolds.' Indiana University Mathematics Journal 59:183-206, 2010
Charalambous N. `On the Equivalence of Heat Kernel Estimates and Logarithmic Sobolev Inequalities for the Hodge Laplacian.' Journal of Differential Equations 233:291-312, 2007
Charalambous N. `L^2 Harmonic Forms and the Structure of Complete Manifolds.'
Proceedings of the International Conference in Memory of Jose F. Escobar, Revista Matematicas: Ensenanza Universitaria de la ERM, 2007.
Charalambous N. `On the L^p Independence of the Spectrum of the Hodge Laplacian on Non-Compact Manifolds.' Journal of Functional Analysis 224:22-48, 2005