Results 41 to 50 of about 635,008 (168)

Stochastic Multiplicative Processes for Financial Markets

open access: yes, 2001
We study a stochastic multiplicative system composed of finite asynchronous elements to describe the wealth evolution in financial markets. We find that the wealth fluctuations or returns of this system can be described by a walk with correlated step ...
Atkinson   +35 more
core   +1 more source

Bridging Nature and Technology: A Perspective on Role of Machine Learning in Bioinspired Ceramics

open access: yesAdvanced Engineering Materials, EarlyView.
Machine learning (ML) is revolutionizing the development of bioinspired ceramics. This article investigates how ML can be used to design new ceramic materials with exceptional performance, inspired by the structures found in nature. The research highlights how ML can predict material properties, optimize designs, and create advanced models to unlock a ...
Hamidreza Yazdani Sarvestani   +2 more
wiley   +1 more source

On Measurable Stochastic Processes [PDF]

open access: yesTransactions of the American Mathematical Society, 1940
In recent years probability theory has been formulated mathematically as measure theory; in the case of stochastic processes depending upon a continuous parameter the measures considered are defined on certain subspaces of the space of all functions of a real variable.t This formulation of stochastic processes depending upon a continuous parameter ...
openaire   +2 more sources

Trans‐Conductive Melt Pool Scaling and its Implications for Parameter Transfer in Laser Powder Bed Fusion for Metals with High Thermal Diffusivity

open access: yesAdvanced Engineering Materials, EarlyView.
Developing process parameters for the laser‐based Powder Bed Fusion of metals can be a tedious task. Based on melt pool depth, the process parameters are transferable to different laser scan speeds. For this, understanding the melt pool scaling behavior is essential, particularly for materials with high thermal diffusivity, as a change in scaling ...
Markus Döring   +2 more
wiley   +1 more source

Point processes and stochastic displacement fields

open access: yes, 2004
The effect of a stochastic displacement field on a statistically independent point process is analyzed. Stochastic displacement fields can be divided into two large classes: spatially correlated and uncorrelated.
Gabrielli, Andrea
core   +1 more source

On harmonizable stochastic processes

open access: yesInformation and Control, 1970
This paper presents a new orthogonal series representation and a new orthogonal integral representation for harmonizable stochastic processes.
Bede Liu, Stamatis Cambanis
openaire   +2 more sources

Influence of Form and Structural Features of Open‐Cell Hybrid Foam on the Remanent Magnetic Scanning

open access: yesAdvanced Engineering Materials, EarlyView.
Simulations using an equivalent model are performed to improve the understanding of remanent magnetic scanning of hybrid foam samples for coating thickness estimation. The model allows to study the influence of isolated geometrical features such as layer thickness, boundary effects, as well as effects due to the statistical nature of the foams, which ...
Bashar Ibrahim   +4 more
wiley   +1 more source

On convergence of stochastic processes [PDF]

open access: yesTransactions of the American Mathematical Society, 1962
It is clear that for given I,un } and t, the better theorem of this kind would be the one in which (2) is proved for the larger class of functions f. In this paper we shall show that certain known "invariance principles" can under some hypotheses be improved by considerably enlarging the class of functions for which (2) holds.
openaire   +1 more source

Geometry‐Assisted Phase Selection: Interplay of Phase Heterogeneity and Geometry in Gyroid Shell Metamaterials Printed with 17‐4 PH Stainless Steel

open access: yesAdvanced Engineering Materials, EarlyView.
This study explores geometry‐driven phase evolution in gyroid shell metamaterials made via laser powder bed fusion of 17‐4 precipitation hardened stainless steel. Locally hardened regions develop along the primary loading paths in the structure, which finite element analysis and geometric considerations link to enhanced gyroid strength.
Julia T. Pürstl   +8 more
wiley   +1 more source

Beyond Order: Perspectives on Leveraging Machine Learning for Disordered Materials

open access: yesAdvanced Engineering Materials, EarlyView.
This article explores how machine learning (ML) revolutionizes the study and design of disordered materials by uncovering hidden patterns, predicting properties, and optimizing multiscale structures. It highlights key advancements, including generative models, graph neural networks, and hybrid ML‐physics methods, addressing challenges like data ...
Hamidreza Yazdani Sarvestani   +4 more
wiley   +1 more source

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