Results 61 to 70 of about 798,401 (286)

Heat equation with a general stochastic measure on nested fractals

, 2012
A stochastic heat equation on an unbounded nested fractal driven by a general stochastic measure is investigated. Existence, uniqueness and continuity of the mild solution are proved provided that the spectral dimension of the fractal is less than 4/3 ...
Radchenko, Vadym, Zähle, Martina
core   +1 more source

Prediction of Surface Topography Parameters in Direct Laser Interference Patterning of Stainless Steel Using Infrared Monitoring and Convolutional Neural Networks

Advanced Engineering Materials, EarlyView.
This study presents an infrared monitoring approach for direct laser interference patterning (DLIP) combined with a convolutional neural network (CNN). Thermal emission data captured during structuring are used to predict surface topography parameters.
Lukas Olawsky, Marcelo Sallese, Leander Kläber, Clemens Kuhn, Keming Du, Andrés Fabián Lasagni   +5 more
wiley   +1 more source

Weighted Entropy Measure: A New Measure of Information with ts Properties in Reliability Theory and Stochastic Orders

Journal of Statistical Theory and Applications (JSTA), 2018
The weighted entropy measure is a germane dynamic measure of uncertainty in reliability and survival studies. In this paper, the new results of weighted entropies with some characterizations are provided.
M. Mahdy
doaj   +1 more source

Stochastic process measurability conditions [PDF]

Annales de l'Institut Fourier, 1975
If the separability of the separable process definition is replaced by a set of optional (predictable) times, a new property is obtained, optional (predictable) separability. A well measurable (accessible) process is necessarily optionally (predictably) separable.
openaire   +2 more sources

Deterministic Detection of Single Ion Implantation

Advanced Engineering Materials, EarlyView.
Focused ion beam implantation with high detection efficiencies will enable the rapid and scalable fabrication of advanced spin‐based technologies such as qubits. This work presents the detection efficiencies of a wide range of ions implanted into solid‐state hosts, with efficiencies of >90% recorded for ion species and substrate combinations of ...
Mason Adshead, Lok Kan Wan, Maddison Coke, Janet Jacobs, Nicholas F. L. Collins, Mark C. Rosamond, Richard J. Curry   +6 more
wiley   +1 more source

Existence and Phase Structure of Random Inverse Limit Measures

Mathematics
Analogous to Kolmogorov’s theorem for the existence of stochastic processes describing random functions, we consider theorems for the existence of stochastic processes describing random measures as limits of inverse measure systems. Specifically, given a
B. J. K. Kleijn
doaj   +1 more source

Limit Distributions of Products of Independent and Identically Distributed Random 2 × 2 Stochastic Matrices: A Treatment with the Reciprocal of the Golden Ratio

Mathematics, 2023
Consider a sequence (Xn)n≥1 of i.i.d. 2×2 stochastic matrices with each Xn distributed as μ. This μ is described as follows.
Santanu Chakraborty
doaj   +1 more source

Invariant measures for monotone SPDE's with multiplicative noise term

, 2012
We study diffusion processes corresponding to infinite dimensional semilinear stochastic differential equations with local Lipschitz drift term and an arbitrary Lipschitz diffusion coefficient.
Es-Sarhir, A., Scheutzow, M., Tölle, J. M., van Gaans, O.   +3 more
core   +1 more source

Multifunctional Crushing and Piezoresistive Self‐Sensing in Conductive Epoxy/CNT‐Coated Polyetherimide TPMS Lattices

Advanced Engineering Materials, EarlyView.
This study reports lightweight polyetherimide triply periodic minimal surfaces lattices coated with carbon nanotube‐reinforced epoxy that combine mechanical robustness with self‐sensing. The conformal coating enhances stiffness, strength and energy absorption while enabling reliable strain monitoring.
A. Triay, J. Schneider, P. Harrison, S. Kumar   +3 more
wiley   +1 more source

Conservation of Total Vorticity for a 2D Stochastic Navier Stokes Equation

Advances in Mathematical Physics, 2011
We consider 𝑁 point vortices whose positions satisfy a stochastic ordinary differential equation on ℝ2𝑁 perturbed by spatially correlated Brownian noise.
Peter M. Kotelenez, Bradley T. Seadler
doaj   +1 more source