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Everything about Diffusion process
Solution to a stochastic differential equation
In probability theory and statistics, diffusion processes are a class of continuous-time Markov process with almost surely continuous sample paths. Diffusion processes are stochastic in nature and hence are used to model many real-life stochastic systems. Brownian motion, reflected Brownian motion and Ornstein–Uhlenbeck processes are examples of diffusion processes. It is used heavily in statistical physics, statistical analysis, information theory, data science, neural networks, finance and marketing. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Diffusion processA 5-minute orientation
- Skim a recent paper: Rate enhancement of gated drift-diffusion process by optimal resettingInfluential work since 2022
- Pick up a classic book: The Tipping PointThe most-reprinted book on the subject
- Read the landmark paper: A New Vertical Diffusion Package with an Explicit Treatment of Entrainment ProcessesCited 6,216 times
- Go sideways: Feynman–Kac formulaA closely related topic
- Go sideways: Stochastic analysis on manifoldsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A New Vertical Diffusion Package with an Explicit Treatment of Entrainment Processes
The critical measure diffusion process
Diffusion modeling of the carburization process
A Dual‐Process Diffusion Model
“Boost-diffusion” vacuum carburising – Process optimisation
Innovative Diffusion Driven Desalination Process
Inter-firm diffusion of process innovations
Driven Pair Contact Process with Diffusion
🆕 Influential since 2022
Rate enhancement of gated drift-diffusion process by optimal resetting
Information diffusion analysis: process, model, deployment, and application
Machine learning of pair-contact process with diffusion
Voltage-controlled magnetoelectric devices for neuromorphic diffusion process
Diffusion behavior of oxygen in FGH96 superalloys during consolidation process
📚 Books worth reading
The Tipping PointMalcolm Gladwell · 2000
Elements of Random Walk and Diffusion ProcessesOliver C. Ibe · 2013
Deterministic and Stochastic Optimal ControlWendell H. Fleming, Raymond W. Rishel · 1975
Diffusion Processes In Advanced Technological MaterialsDevendra Gupta · 2004
Multidimensional diffusion processesDaniel W. Stroock · 2005
Stochastic Modelling of Reaction-Diffusion ProcessesRadek Erban, S. Jonathan Chapman · 2019- 📕Determination of in-situ thermal properties of Stripa granite from temperature measurements in the full-scale heater experimentsLawrence Berkeley Laboratory. Earth Sciences Division. · 1979
Diffusion and reactions in fractals and disordered systemsDaniel ben-Avraham, Shlomo Havlin · 2000
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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