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Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley   +1 more source

Energy Landscapes in Chemical Reactions and Transport

open access: yesChemPhysChem, Volume 26, Issue 6, March 15, 2025.
Kinetics/dynamics of chemical reactivity and transport of chemical species in a solid are both determined by the energy landscape in which they take place. Discussing common grounds but also distinct differences may help in advancing the understanding in both fields.
Karl‐Michael Weitzel
wiley   +1 more source

Introduction: frontiers of applied inverse problems in science and engineering. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci
Smyl D, Hauptmann A, Tallman T.
europepmc   +1 more source

The GFB Tree and Tree Imbalance Indices. [PDF]

open access: yesBull Math Biol
Cleary S, Fischer M, St John K.
europepmc   +1 more source

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