scholarly journals Stochastic processes crossing from ballistic to fractional diffusion with memory: exact results

2010 ◽  
Vol 13 (2) ◽  
pp. 23001
Author(s):  
Ilyin ◽  
Procaccia ◽  
Zagorodny
Keyword(s):  
Stochastic Processes ◽  
Fractional Diffusion ◽  
Exact Results ◽  
With Memory

scholarly journals On time-dependent diffusion coefficients arising from stochastic processes with memory

2017 ◽  
Author(s):  
M. Victoria Carpio-Bernido ◽  
Wilson I. Barredo ◽  
Christopher C. Bernido
Keyword(s):  
Stochastic Processes ◽  
Diffusion Coefficients ◽  
Time Dependent ◽  
With Memory

On Time Fractional Diffusion Equation with Memory Term

2021 ◽  
Vol 30 (1) ◽  
Author(s):  
Nguyen Duc Phuong ◽  
Nguyen Anh Tuan ◽  
Tran Thanh Binh ◽  
Tran Ngoc Thach
Keyword(s):  
Diffusion Equation ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Memory Term ◽  
Time Fractional Diffusion Equation ◽  
With Memory

Nonlinear fractional diffusion equation: Exact results

2005 ◽  
Vol 46 (8) ◽  
pp. 083506 ◽  
Author(s):  
E. K. Lenzi ◽  
R. S. Mendes ◽  
Kwok Sau Fa ◽  
L. S. Moraes ◽  
L. R. da Silva ◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Fractional Diffusion ◽  
Fractional Diffusion Equation ◽  
Exact Results

Stochastic path summation with memory

2015 ◽  
Vol 36 ◽  
pp. 1560006
Author(s):  
Christopher C. Bernido ◽  
M. Victoria Carpio-Bernido
Keyword(s):  
Probability Density Function ◽  
Diffusion Equation ◽  
Stochastic Processes ◽  
White Noise ◽  
Probability Density ◽  
Density Function ◽  
Path Integral ◽  
Different Types ◽  
With Memory

Some classes of stochastic processes with memory properties are investigated by evaluating the probability density function as a white noise path integral. The corresponding modified diffusion equation for different types of memory behavior is then discussed.

scholarly journals Retrieving a Context Tree from EEG Data

Mathematics ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 427
Author(s):  
Aline Duarte ◽  
Ricardo Fraiman ◽  
Antonio Galves ◽  
Guilherme Ost ◽  
Claudia D. Vargas
Keyword(s):  
Stochastic Processes ◽  
Statistical Approach ◽  
Variable Length ◽  
New Class ◽  
Eeg Data ◽  
Context Tree ◽  
Statistical Regularities ◽  
The Brain ◽  
With Memory

It has been repeatedly conjectured that the brain retrieves statistical regularities from stimuli. Here, we present a new statistical approach allowing to address this conjecture. This approach is based on a new class of stochastic processes, namely, sequences of random objects driven by chains with memory of variable length.

Exact results for queuing models of stochastic transcription with memory and crosstalk

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Zhenquan Zhang ◽  
Qiqi Deng ◽  
Zihao Wang ◽  
Yiren Chen ◽  
Tianshou Zhou
Keyword(s):  
Exact Results ◽  
Queuing Models ◽  
With Memory
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