Peter Stollmann

Mathematics · Physical Sciences

22h-index1.8kcitations107works0.72yr avg
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Research Topics

Spectral Theory in Mathematical Physics(57), Advanced Mathematical Modeling in Engineering(33), Numerical methods in inverse problems(22), Geometric Analysis and Curvature Flows(19), Quasicrystal Structures and Properties(12)

Publications107 total

Strongly continuous fields of operators over varying Hilbert spaces
arXiv (Cornell University)·2025Open Access
The speed measure and absolute continuity for curves in metric spaces
arXiv (Cornell University)·2025Open Access
A new notion of subharmonicity on locally smoothing spaces, and a conjecture by Braverman, Milatovic, Shubin
Mathematische Annalen·2024· 2 citedOpen Access
Essential Spectrum and Feller Type Properties
Integral Equations and Operator Theory·2023· 1 citedOpen Access
A new notion of subharmonicity on locally smoothing spaces, and a conjecture by Braverman, Milatovic, Shubin
arXiv (Cornell University)·2023Open Access
Essential spectrum and Feller type properties
arXiv (Cornell University)·2022Open Access
Bounds on the First Betti Number: An Approach via Schatten Norm Estimates on Semigroup Differences
Journal of Geometric Analysis·2022Open Access
Lower bounds for Dirichlet Laplacians and uncertainty principles
Journal of the European Mathematical Society·2021· 3 citedOpen Access
Universal Lower Bounds for Laplacians on Weighted Graphs
Cambridge University Press eBooks·2020· 3 cited
Manifolds with Ricci Curvature in the Kato Class: Heat Kernel Bounds and Applications
Cambridge University Press eBooks·2020· 8 cited
Sensor-based systems for early detection of dementia (SENDA): a study protocol for a prospective cohort sequential study
BMC Neurology·2020· 28 citedOpen Access
An uncertainty principle and lower bounds for the Dirichlet Laplacian on graphs
Journal of Spectral Theory·2019· 4 cited
On the decomposition principle and a Persson type theorem for general regular Dirichlet forms
Journal of Spectral Theory·2019· 8 cited
Universal lower bounds for Laplacians on weighted graphs
arXiv (Cornell University)·2019Open Access
Bounds on the first Betti number - an approach via Schatten norm estimates on semigroup differences
arXiv (Cornell University)·2018Open Access
Manifolds with Ricci curvature in the Kato class: heat kernel bounds and applications
arXiv (Cornell University)·2018· 1 citedOpen Access
Topological Poincaré type inequalities and lower bounds on the infimum of the spectrum for graphs
arXiv (Cornell University)·2018· 6 citedOpen Access
The Diversity and Beauty of Applied Operator Theory
Operator theory·2018· 11 cited
On the decomposition principle and a Persson type theorem for general\n regular Dirichlet forms
arXiv (Cornell University)·2017Open Access
On the decomposition principle and a Persson type theorem for general regular Dirichlet forms
arXiv (Cornell University)·2017Open Access
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Frequent Co-authors

Daniel Lenz(15), Anne Boutet de Monvel(6), Günter Stolz(4), Werner Kirsch(3), Pavel Exner(2), Peter Müller(2), Ivan Veselić(2), Carsten Schubert(2), Jürgen Voigt(2), J. Voigt(1), David Damanik(1), Mario Helm(1), Katrin Müller(1), Stephanie Fröhlich(1), Andresa M.C. Germano(1), Jyothsna Kondragunta(1), María Fernanda del Carmen Agoitia Hurtado(1), Julian Rudisch(1), Daniel Schmidt(1), Gangolf Hirtz(1)