Strong limit theorems for a simple random walk on the 2-dimensional comb
, 2009 We study the path behaviour of a simple random walk on the 2-dimensional comb lattice ${\mathbb C}^2$ that is obtained from ${\mathbb Z}^2$ by removing all horizontal edges off the x-axis.
Csaki, E. +3 more
core +1 more source
Advanced Functional Materials, EarlyView.3D porous carbons with tunable density are crucial for energy storage, separations, and load‐bearing applications; however, their fabrication is often constrained by shrinkage during pyrolysis. This study optimizes and demonstrates the versatility of a template–coating pair strategy, producing materials that largely retain their shape and hierarchical ...
Adarsh Suresh +7 more
wiley +1 more source
Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms [PDF]
, 2017 In this work we study a system of parabolic reaction-diffusion equations which are coupled not only through the reaction terms but also by way of nonlocal diffusivity functions.
de Oliveira, Hermenegildo Borges +1 more
core +1 more source
Discrete Hardy's type inequalities and structure of discrete class of weights satisfy reverse Hölder's inequality [PDF]
, 2021 Samir H. Saker, Ravi P. Agarwal
openalex +1 more source
Review of Thin Lithium Metal Battery Anode Fabrication – Microstructure – Electrochemistry Relations
Advanced Materials, EarlyView.Thin, lightweight lithium‐metal anodes are pivotal for practical high‐energy batteries. This review surveys processing routes that convert diverse Li precursors, e.g., ingots, melts, solutions, and vapor, into Li‐rich foils with controlled thickness, areal density, and tailored functionality.
Yuhang Hu +6 more
wiley +1 more source
Jessen's functional, its properties and applications
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we consider Jessen's functional, defined by means of a positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized power means, which yields extensions of some recent results,
Lovričević Neda +2 more
doaj +1 more source
Constrained extremal problems in the Hardy space H2 and Carleman's formulas [PDF]
, 2009 We study some approximation problems on a strict subset of the circle by analytic functions of the Hardy space H2 of the unit disk (in C), whose modulus satisfy a pointwise constraint on the complentary part of the circle.
Baratchart, Laurent +2 more
core +3 more sources
Ultrasound in Women's Health: Mechanisms, Applications, and Emerging Opportunities
Advanced Materials, EarlyView.As healthcare moves toward decentralization, ultrasound technologies are evolving from strictly imaging tools in clinical settings into versatile diagnostic and therapeutic platforms, with growing roles addressing women's health needs. This review highlights how ultrasound's underlying physical mechanisms can be harnessed to reduce disparities in women'
Sarah B. Ornellas +7 more
wiley +1 more source
Law of large numbers and central limit theorem for Donsker's delta function of diffusions I [PDF]
, 1993 Limit theorems in the space of Hida distributions, similar to the law of large numbers and the central limit theorem, are shown for composites of the Dirac distribution with solutions of one-dimensional, non-degenerate Itô ...
Potthoff, Jürgen, Sundar, Padmanabhan
core +1 more source
Analysis of a discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions [PDF]
, 2011 International audienceWe study the convergence of the Symmetric Weighted Interior Penalty discontinuous Galerkin method for heterogeneous diffusion problems with low-regularity solutions only belonging to $W^{2,p}$ with $p\in(1,2]$.
Di Pietro, Daniele Antonio +1 more
core +4 more sources