WEAK CONVERGENCE OF COMPOUND PROBABILITY MEASURES ON UNIFORM SPACES
We obtain a convergence theorem of compound probability measures on a uniform space for a net of uniformly equicontinuous transition probabilities. This theorem contains convergence theorems of product or convolution measures.
openaire +3 more sources
Causal Rate Distortion Function on Abstract Alphabets: Optimal Reconstruction and Properties [PDF]
A causal rate distortion function with a general fidelity criterion is formulated on abstract alphabets and a coding theorem is derived. Existence of the minimizing kernel is shown using the topology of weak convergence of probability measures.
Charalambous, Charalambos D. +2 more
core
Surface Diffusion in SnTe‐PbTe Monolayer Lateral Heterostructures
The lateral heterostructures between 2D materials often suffer from the interdiffusion at the interfaces. Here, a surface diffusion mechanism is found to be dominating at the interfaces between semiconducting SnTe and PbTe monolayers. Atomically sharp interfaces can be achieved by suppressing this diffusion process. ABSTRACT The construction of complex
Jing‐Rong Ji +9 more
wiley +1 more source
Joint Discrete Approximation by Shifts of Hurwitz Zeta-Function: The Case of Short Intervals
Since 1975, it has been known that the Hurwitz zeta-function has a unique property to approximate by its shifts all analytic functions defined in the strip D={s=σ+it:1 ...
Antanas Laurinčikas +1 more
doaj +1 more source
A simple characterization of homogeneous Young measures and weak convergence of their densities [PDF]
We formulate a simple characterization of homogeneous Young measures associated with measurable functions. It is based on the notion of the quasi-Young measure introduced in the previous article published in this Journal.
P. Puchała
semanticscholar +1 more source
High Entropy Wide‐Bandgap Borates with Broadband Luminescence and Large Nonlinear Optical properties
High‐entropy rare‐earth borates exhibit excellent nonlinear optical and broadband luminescence properties arising from multi‐component doping, chemical disorder, increased configurational entropy, and increased lattice and electronic anharmonicity. This formulation enabled us to obtain a large, environmentally stable single crystal with 3X higher laser‐
Saugata Sarker +14 more
wiley +1 more source
Joint approximation of analytic functions by the shifts of Hurwitz zeta-functions in short intervals
In the article, we obtain that, for algebraically independent over Q{\mathbb{Q}} parameters α1,…,αr{\alpha }_{1},\ldots ,{\alpha }_{r}, there are infinitely many shifts (ζ(s+iτ,α1),…,ζ(s+iτ,αr))\left(\zeta \left(s+i\tau ,{\alpha }_{1}),\ldots ,\zeta ...
Laurinčikas Antanas +1 more
doaj +1 more source
Discrete Limit Bohr–Jessen Type Theorem for the Epstein Zeta-Function in Short Intervals
We prove a probabilistic limit theorem for the Epstein zeta-function ζ(s;Q) in the interval [N,N+M] as N→∞, using discrete shifts ζ(σ+ikh;Q), where h>0 and σ>n−12 are fixed. Here, Q is a positive-definite n×n matrix, and the interval length M satisfies h−
Antanas Laurinčikas, Renata Macaitienė
doaj +1 more source
Approach to self-similarity in Smoluchowski's coagulation equations [PDF]
We consider the approach to self-similarity (or dynamical scaling) in Smoluchowski's equations of coagulation for the solvable kernels $K(x,y)=2$, $x+y$ and $xy$.
Govind Menon +3 more
core +1 more source
This review evaluates strategies for electrochemical CO2 reduction to ethylene, focusing on copper‐based catalyst design and microenvironment modulation to achieve industrial‐grade performance. By leveraging operando synchrotron‐based characterizations, we provide a multiscale understanding of dynamic structural transformations and key reaction ...
Meng Zhang, Zuolong Chen, Yimin A. Wu
wiley +1 more source

