Results 1 to 10 of about 17,135,752 (243)

Cluster continuous time random walks [PDF]

Studia Mathematica, 2011
In a continuous time random walk (CTRW), a random waiting time pre- cedes each random jump. The CTRW model is useful in physics, to model diusing par- ticles. Its scaling limit is a time-changed process, whose densities solve an anomalous diusion equation.
Agnieszka Jurlewicz, Mark M. Meerschaert, Hans-Peter Scheffler   +2 more
openaire   +1 more source

Stochastic modeling of injection induced seismicity based on the continuous time random walk model

Scientific Reports
The spatiotemporal evolution of earthquakes induced by fluid injections into the subsurface can be erratic owing to the complexity of the physical process.
Georgios Michas, Filippos Vallianatos
doaj   +1 more source

Continuous-Time Random Walks and Temporal Networks

, 2019
Real-world networks often exhibit complex temporal patterns that affect their dynamics and function. In this chapter, we focus on the mathematical modelling of diffusion on temporal networks, and on its connection with continuous-time random walks. In that case, it is important to distinguish active walkers, whose motion triggers the activity of the ...
openaire   +1 more source

Correlated continuous time random walks [PDF]

Statistics & Probability Letters, 2009
Continuous time random walks impose a random waiting time before each particle jump. Scaling limits of heavy tailed continuous time random walks are governed by fractional evolution equations. Space-fractional derivatives describe heavy tailed jumps, and the time-fractional version codes heavy tailed waiting times.
Mark M. Meerschaert, Erkan Nane, Yimin Xiao   +2 more
openaire   +2 more sources

Multisolution Analysis Time Series Data and RUL Estimate

Chemical Engineering Transactions, 2013
The model and algorithm for RUL estimation of the rotating machinery is constructed. RUL estimates are presented analytically. Random walk model of finite segments of the wavelet coefficients of observed signal is considered as the original model.
A. Khodos, A. Kirillov, S. Kirillov
doaj   +1 more source

Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels

Fractal and Fractional
In this paper, we introduce a general fractional master equation involving regularized general fractional derivatives with Sonin kernels, and we discuss its physical characteristics and mathematical properties.
Maryam Alkandari, Dimitri Loutchko, Yuri Luchko   +2 more
doaj   +1 more source

Stability of a Fractional HIV/AIDS Epidemic Model with Drug Control by Continuous-Time Random Walk

Fractal and Fractional
In recent years, fractional HIV models have received increasing attention. This study derives a fractional HIV model using the continuous-time random walk (CTRW) method, endowing the mathematical model with physical significance.
Jiao Li, Yongguang Yu, Zhenzhen Lu, Weiyi Xu   +3 more
doaj   +1 more source

Transience of continuous-time conservative random walks

Journal of Applied Probability
AbstractWe consider two continuous-time generalizations of conservative random walks introduced in Englander and Volkov (2022), an orthogonal and a spherically symmetrical one; the latter model is also known as random flights. For both models, we show the transience of the walks when $d\ge 2$ and that the rate of direction changing follows a power ...
Satyaki Bhattacharya, Stanislav Volkov
openaire   +2 more sources

The Role of Fractional Time-Derivative Operators on Anomalous Diffusion

Frontiers in Physics, 2017
The generalized diffusion equations with fractional order derivatives have shown be quite efficient to describe the diffusion in complex systems, with the advantage of producing exact expressions for the underlying diffusive properties.
Angel A. Tateishi, Haroldo V. Ribeiro, Ervin K. Lenzi   +2 more
doaj   +1 more source

Assessment of pathological grade and variants of bladder cancer with a continuous-time random-walk diffusion model

Frontiers in Oncology
PurposeTo evaluate the efficacy of high b-value diffusion-weighted imaging (DWI) with a continuous-time random-walk (CTRW) diffusion model in determining the pathological grade and variant histology (VH) of bladder cancer (BCa).MethodsA total of 81 ...
Wei Wang, Jingyun Wu, Qi Shen, Wei Li, Ke Xue, Yuxin Yang, Jianxing Qiu   +6 more
doaj   +1 more source