Results 41 to 50 of about 17,583 (186)

Degenerate complex Hessian equations on compact Kahler manifolds [PDF]

Indiana University Mathematics Journal, 2015
Let $(X, )$ be a compact K hler manifold of dimension $n$ and fix $m\in \mathbb{N}$ such that $1\leq m \leq n$. We prove that any $( ,m)$-sh function can be approximated from above by smooth $( ,m)$-sh functions. A potential theory for the complex Hessian equation is also developed which generalizes the classical pluripotential theory on compact K
Lu, Chinh H., Nguyen, Van-Dong
openaire   +2 more sources

Equilibrium Propagation for Dissipative Dynamics

Advanced Intelligent Systems, EarlyView.
This work develops local learning rules for damped linear dynamical systems, including mechanical structures and resistor‐inductor‐capacitor (RLC) circuits, by leveraging an effective action formulation. It demonstrates how physical systems can autonomously compute gradients and learn temporal patterns, enabling applications such as sound ...
Marc Berneman, Daniel Hexner
wiley   +1 more source

The obstacle problem for conformal metrics on compact Riemannian manifolds

Journal of Inequalities and Applications, 2018
We prove a priori estimates up to their second order derivatives for solutions to the obstacle problem of curvature equations on Riemannian manifolds (Mn,g) $(M^{n}, g)$ arising from conformal deformation.
Sijia Bao, Yuming Xing
doaj   +1 more source

Riemannian Metrics on Locally Projectively Flat Manifolds

, 2001
The expression (-1/u) times the Hessian of u transforms as a symmetric (0,2) tensor under projective coordinate transformations, so long as u transforms as a section of a certain line bundle.
Loftin, J. C.
core   +2 more sources

Sodium Tetraazidoaurate(III)—From Na[AuCl4]·2H2O to Na[Au(N3)4] and Beyond One Step at a Time

Chemistry – A European Journal, EarlyView.
Novel sodium chlorido‐/azidoaurate(III) dihydrates Na[AuCl4–x(N3)x]·2H2O (x = 0, 1, 2, 3, 4) provide the first example of a complete series of gradual substitution on tetramer complex anions to be described. Controlled dehydration of Na[Au(N3)4]·2H2O leads to Na[Au(N3)4]·H2O and Na[Au(N3)4], the latter being a highly explosive material.
Mehmet Somer, Joannis Psilitelis, Raul Cardoso‐Gil, Thomas Doert, Franziska Jach, Ayberk Yılmaz, Alexander Ovchinnikov, Yurii Prots, Helge Rosner, Marcus P. Schmidt, Peter Höhn   +10 more
wiley   +1 more source

Holomorphic Lagrangian subvarieties in holomorphic symplectic manifolds with Lagrangian fibrations and special Kahler geometry

, 2021
Let $M$ be a holomorphic symplectic K\"ahler manifold equipped with a Lagrangian fibration $\pi$ with compact fibers. The base of this manifold is equipped with a special K\"ahler structure, that is, a K\"ahler structure $(I, g, \omega)$ and a symplectic
Kamenova, Ljudmila, Verbitsky, Misha
core  

The Future of Foundation Machine Learning Potentials and DFT in Homogeneous Catalysis: Competition or Synergy?

Chemistry – A European Journal, EarlyView.
Machine‐learning potentials are increasingly taking on the exploratory tasks of homogeneous catalysis, enabling rapid conformer sampling and reaction‐space mapping. However, when selectivity depends on subtle electronic effects, electronic‐structure methods remain essential.
Maxime Ferrer, Julen Munarriz, Thijs Stuyver, Ruben Laplaza   +3 more
wiley   +1 more source

The Gauge Equation in Statistical Manifolds: An Approach through Spectral Sequences

Mathematics
The gauge equation is a generalization of the conjugacy relation for the Koszul connection to bundle morphisms that are not isomorphisms. The existence of nontrivial solution to this equation, especially when duality is imposed upon related connections ...
Michel Nguiffo Boyom, Stephane Puechmorel   +1 more
doaj   +1 more source

On the diastatic entropy and C^1-rigidity of complex hyperbolic manifolds

, 2019
Let f:(Y,g)->(X,g_0) be a non zero degree continuous map between compact K\"ahler manifolds of dimension greater or equal to 2, where g_0 has constant negative holomorphic sectional curvature. Adapting the Besson-Courtois-Gallot barycentre map techniques
Mossa, Roberto
core   +1 more source

Optimal model‐based design of experiments for parameter precision: Supercritical extraction case

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract This study investigates the process of chamomile oil extraction from flowers. A parameter‐distributed model consisting of a set of partial differential equations is used to describe the governing mass transfer phenomena in a cylindrical packed bed with solid chamomile particles under supercritical conditions using carbon dioxide as a solvent ...
Oliwer Sliczniuk, Pekka Oinas
wiley   +1 more source