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A Physics-Informed Deep Learning Deformable Medical Image Registration Method Based on Neural ODEs. [PDF]
Amiri-Hezaveh A +6 more
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A Stochastic Method for Predicting Recovery of Coral Reefs
Casas KP, Bernido CC.
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Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2006
We construct a Dirichlet form associated with the infinite dimensional Lévy–Laplace operator. We show that there exists a natural connection between this form and a Markov process.
Albeverio, S. +2 more
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We construct a Dirichlet form associated with the infinite dimensional Lévy–Laplace operator. We show that there exists a natural connection between this form and a Markov process.
Albeverio, S. +2 more
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Kato Space for Dirichlet Forms
Potential Analysis, 1999The authors consider a wide class of regular Dirichlet forms of diffusion type incuding elliptic and subelliptic operators. For these Dirichlet forms the notion of Kato space is introduced and it is proved that the Kato space becomes a Banach space when suitably normed.
BIROLI, MARCO, MOSCO U.
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Relaxation for Dirichlet Problems Involving a Dirichlet Form
Zeitschrift für Analysis und ihre Anwendungen, 2000For a fixed Dirichlet form, we study the space of positive Borel measures (possibly infinite) which do not charge polar sets. We prove the density in this space of the set of the measures which represent varying, domains. Our method is constructive. For the Laplace operator, the proof was based on a pavage of the space.
BIROLI, MARCO, TCHOU N.
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Homogenization in Random Dirichlet Forms
Stochastic Analysis and Applications, 2005A general diffusion process in a random medium associated with a random Dirichlet form with nonsmooth and nonbounded coefficients is considered, as drift transformation of a starting diffusion process in a random medium, with random infinitesimal generator in divergence form.
ALBEVERIO S, BERNABEI, Maria Simonetta
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