Results 71 to 80 of about 26,365 (167)

Heat Kernel of Networks with Long-Range Interactions

Complexity
The heat kernel associated with a discrete graph Laplacian is the basic solution to the heat diffusion equation of a strict graph or network. In addition, this kernel represents the heat transfer that occurs over time across the network edges.
Franck Kalala Mutombo, Alice Nanyanzi, Simukai W. Utete   +2 more
doaj   +1 more source

Distributional asymptotic expansions of spectral functions and of the associated Green kernels

Electronic Journal of Differential Equations, 1999
Asymptotic expansions of Green functions and spectral densities associated with partial differential operators are widely applied in quantum field theory and elsewhere.
R. Estrada, S. A. Fulling
doaj  

Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference

Symmetry, Integrability and Geometry: Methods and Applications, 2007
The 2007 Midwest Geometry Conference included a panel discussion devoted to open problems and the general direction of future research in fields related to the main themes of the conference.
Lawrence J. Peterson
doaj  

Heat kernel methods for multiloop calculations in curved spacetime: nonzero spin

Journal of High Energy Physics
In a previous paper we have presented a general formalism for computing Feynman diagrams for scalar fields in curved spacetime at any loop order using heat kernel methods.
Igor Carneiro, Gero von Gersdorff
doaj   +1 more source

Discrete Heat Kernel Smoothing in Irregular Image Domains. [PDF]

Annu Int Conf IEEE Eng Med Biol Soc, 2018
Chung MK, Wang Y, Wu G.
europepmc   +1 more source

Exponential coordinates and regularity of groupoid heat kernels

Open Mathematics, 2014
So Bing
doaj   +1 more source

Heat Kernel Goes Topological

Topological neural networks have emerged as powerful successors of graph neural networks. However, they typically involve higher-order message passing, which incurs significant computational expense. We circumvent this issue with a novel topological framework that introduces a Laplacian operator on combinatorial complexes (CCs), enabling efficient ...
Krahn, Maximilian, Garg, Vikas
openaire   +2 more sources

3D-specific absorption rate estimation from high-intensity focused ultrasound sonications using the Green's function heat kernel. [PDF]

Med Phys, 2018
Freeman NJ, Odéen H, Parker DL.
europepmc   +1 more source

Heterogeneous Media Heat Transfer Simulations Based on 3D-Fractional Parametric Laplace Kernel

International Journal of Differential Equations
This paper introduces a new Mittag–Leffler–Laplace memory kernel defined by Φ˜μ,ν,κα,ρs=∫0∞Eρ−μξκ/κξνα−1e−sξdξ, s>0, and develops a unified framework for modeling heat transfer in heterogeneous media with nonlocal temporal memory.
Rabha W. Ibrahim, Ali A. Jizany, Hasan Kahtan   +2 more
doaj   +1 more source

Towards a Holistic Cortical Thickness Descriptor: Heat Kernel-Based Grey Matter Morphology Signatures. [PDF]

Neuroimage, 2017
Wang G, Wang Y, Alzheimer's Disease Neuroimaging Initiative.   +2 more
europepmc   +1 more source