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Nonlinear Diffusion Processes

Siberian Mathematical Journal, 2003
The author studies the elliptic system of first-order strongly nonlinear differential equations of one complex variable \[ u_{\bar z} = \mu^1u_z + \mu^2\bar u_{\bar z} + f \equiv A(z,u,v),\quad v = u_{z} \] which is commonly used to describe diffusion and convective processes of heat and mass transfer in a fluid.
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Fluctuations in Diffusion Processes in Microgravity

Annals of the New York Academy of Sciences, 2006
Abstract:  It has been shown recently that diffusion processes exhibit giant nonequilibrium fluctuations (NEFs). That is, the diffusing fronts display corrugations whose length scale ranges from the molecular to the macroscopic one. The amplitude of the NEF diverges following a power law behavior ∝ q−4 (where q is the wave vector).
S. Mazzoni   +3 more
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Image processing using diffusion processes

Proceedings of 2010 IEEE International Symposium on Circuits and Systems, 2010
We propose a new algorithm inspired by the properties of diffusion processes for image filtering. We show that purely nonlinear diffusion process ruled by Fisher equation allows contrast enhancement and noise filtering, but involves a blurry image. By contrast, anisotropic diffusion, described by Perona and Malik algorithm, allows noise filtering and ...
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On the Convergence of Branching Processes to a Diffusion Process

Theory of Probability & Its Applications, 1986
Translation from Teor. Veroyatn. Primen. 30, No.3, 468-477 (Russian) (1985; Zbl 0572.60085).
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A Note on Diffusion Processes with Jumps

2018
We focus on stochastic diffusion processes with jumps occurring at random times. After each jump the process is reset to a fixed state from which it restarts with a different dynamics. We analyze the transition probability density function, its moments and the first passage time density.
giorno, virginia, Spina, Serena
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THE DIFFUSION PROCESS

1957
(Statement of Responsibility) by George M. Beal and Joe M. Bohlen. ; Cover title.
Beal, George M, Bohlen, Joe M
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Restoring ergodicity of stochastically reset anomalous-diffusion processes

Physical Review Research, 2022
A Cherstvy   +2 more
exaly  

On Quasi Diffusion Processes

Theory of Probability & Its Applications, 1966
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On the Convergence to Diffusion Processes

Theory of Probability & Its Applications, 1967
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Branching Diffusion Processes

Theory of Probability & Its Applications, 1964
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