Results 131 to 140 of about 32,857 (304)

Estimates of the spherical and ultraspherical heat kernel

, 2013
In this thesis we establish an upper bound for the spherical heat kernel on the N-dimensional unit sphere SN for N = 1; 2; 3. The strategy is to use the fact that the spherical heat kernel is completely determined by the ultraspherical heat kernel.
Andersson, Daniel
core   +1 more source

Essential spectrum and heat kernel

, 1987
Upper bounds are derived for the large time behavior of the heat kernel on Riemannian manifolds whose essential spectrum has a positive lower bound.
Donnelly, Harold
core   +1 more source

Stress‐to‐Light Conversion in an Earth‐Abundant Oxide Semiconductor

Advanced Science, EarlyView.
Stress‐to‐light conversion in solids represents a unique photonic functionality, yet it has never been realized in a chemically simple and sustainable material. Here, we show that sustainable semiconductor ZnO exhibits strong near‐infrared (NIR) luminescence under elastic stress when defect‐engineered to stabilize the p‐type state.
Tomoki Uchiyama, Koki Otonari, Reona Omori, Guangfa Yang, Eiji Nishibori, Ying Chen, Xu‐Guang Zheng, Chao‐Nan Xu   +7 more
wiley   +1 more source

Heat kernel bounds and desingularizing weights

, 2003
We study the parabolic operator ∂t−Δx+V(t,x), in R+1×Rd, d⩾1, with a potential V=V+−V−,V±⩾0 assumed to be from a parabolic Kato class, and obtain two-sided Gaussian bounds on the associated heat kernel.
Milman, Pierre D., Semenov, Y., Semenov, Yuli A., Semenov, Yu.A., Milman, P.   +4 more
core   +1 more source

Tunable Dynamics via Dual‐Ion Modulation for Event‐based Data Processing Using a Highly Uniform and Self‐Rectifying Memristor Array

Advanced Science, EarlyView.
Tunable dynamics of an interface‐type memristor array enabled by dual‐ion modulation through Ag nanoclusters are demonstrated. A 32 × 32 one‐resistor (1R) array exhibits 100% yield with high temporal/spatial uniformity (<3%) and a rectification ratio of 105.
Yoonho Cho, Dawon Kim, Jeonghong Lee, Dae‐won Kim, See‐On Park, Jongmin Bae, Taehwan Jang, Shinhyun Choi   +7 more
wiley   +1 more source

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

Diffusion‐Based Generative Model With Scaffold‐Hopping Strategy Yields Highly Potent Bioactive Molecules

Advanced Science, EarlyView.
SMarT‐Diff introduces a multi‐objective generative paradigm that integrates scaffold hopping with structure‐aware scoring to enable controlled exploration beyond the training distribution. The framework consistently balances drug‐likeness, synthesizes accessibility and bioactivity, yielding chemically diverse candidates with enhanced properties.
Yuwei Yang, Xiaoqing Gong, Shukai Gu, Jing Li, Bo Liu, Yanan Tian, Qianqian Zhang, Xiaojun Yao, Huanxiang Liu   +8 more
wiley   +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  

The Ubiquitous Heat Kernel

, 2006
The aim of this volume is to bring together research ideas from various fields of mathematics which utilize the heat kernel or heat kernel techniques in their research.
Walling, LH, Jorgenson, J
core  

Refined estimates on the scalar heat kernel for bounded b

, 2011
This chapter obtains uniform bounds for the kernels rb,tX and another rb,tX for bounded b > 0, with the proper decay at infinity on X or ̂X. These bounds will be used to obtain corresponding bounds for the kernel qb,tX in the next chapter. Furthermore,
Jean-Michel Bismut
core   +1 more source