Results 101 to 110 of about 43,034 (224)
Massive Spanning Forests on the Complete Graph: Exact Distribution and Local Limit
ABSTRACT We provide new exact formulas for the distribution of massive spanning forests on the complete graph, which give also a new outlook on the celebrated special case of the uniform spanning tree. As a corollary we identify their local limit. This generalizes a well‐known theorem of Grimmett on the local limit of uniform spanning trees on the ...
Matteo D'Achille +2 more
wiley +1 more source
Multiple Solutions for a Class of
We study the multiplicity of solutions for a class of Hamiltonian systems with the -Laplacian. Under suitable assumptions, we obtain a sequence of solutions associated with a sequence of positive energies going toward infinity.
Fu Yongqiang, Zhang Xia
doaj
Depth Completion with Anisotropic Metric, Convolutional Stages, and Infinity Laplacian
Depth map estimation is crucial for a wide range of applications. Unfortunately, it often presents missing or unreliable data. The objective of depth completion is to fill in the “holes” in a depth map by propagating the depth information using guidance ...
Vanel Lazcano, Felipe Calderero
doaj +1 more source
A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models
ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes +4 more
wiley +1 more source
Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential
Four nontrivial smooth solutions to a Robin boundary-value problem with p-Laplacian, indefinite potential, and asymmetric nonlinearity super-linear at infinity are obtained, all with sign information.
Salvatore A. Marano +1 more
doaj
Abstract Three‐dimensional gravity forward modeling with conventional numerical methods requires solving large‐scale linear system using direct matrix inversion or iterative solvers, incurring substantial computational costs that critically limit large‐scale three‐dimensional inversions.
Xiaozhong Tong +3 more
wiley +1 more source
This paper deals with the existence and multiplicity results for fractional problem involving the square root of the Laplacian $A_{1/2}$ in a bounded domain with zero Dirichlet boundary conditions by Morse theory and critical groups for a $C^{1 ...
Yutong Chen, Jiabao Su, Huanhong Yan
doaj
Scattering Matrix in Conformal Geometry
This paper describes the connection between scattering matrices on conformally compact asymptotically Einstein manifolds and conformally invariant objects on their boundaries at infinity.
Graham, C. Robin, Zworski, Maciej
core +2 more sources
The Infinity Laplacian Eigenvalue Problem: Reformulation and a Numerical Scheme
AbstractIn this work, we present an alternative formulation of the higher eigenvalue problem associated to the infinity Laplacian, which opens the door for numerical approximation of eigenfunctions. A rigorous analysis is performed to show the equivalence of the new formulation to the traditional one.
Farid Bozorgnia +2 more
openaire +4 more sources
A Thermodynamic Framework for Turing‐Type Instabilities in Porous Media: Part I Theory
Abstract Pattern formation in geological materials is commonly described using analogies to Turing‐type reaction–diffusion systems, yet a unifying thermodynamic explanation remains elusive. Here we develop a multiscale, thermodynamically consistent framework for pattern‐forming instabilities in porous media undergoing coupled thermo–hydro–mechanical ...
Klaus Regenauer‐Lieb +5 more
wiley +1 more source

