*This page was last updated 17 Jun 2019.*

Notes 1: Overview and Stochastic Fields 1 — *posted 04 Apr 2019*

Notes 2: Stochastic Fields 2 – Heat Transport — *posted 04 Apr 2019*

Supplement – MHD Turbulence 1 — *posted 08 Apr 2019*

Supplement – MHD Turbulence 2 — *posted 08 Apr 2019*

Notes 3: Stochastic Fields – Particle and Momentum Transport — *posted 08 Apr 2019*

Notes 4: To Large Kubo Number – 2-D, Diffusion, Contours, Percolation — *revised notes posted 18 Apr 2019*

Notes 5: Taylor Problem, Shear Dispersion, Percolation I — *posted 18 Apr 2019*

Notes 6: Percolation Basics I — *posted 25 Apr 2019*

Notes 7: Percolation Basics II — *posted 25 Apr 2019*

Supplement 1: Kinetics 1 — *posted 29 Apr 2019*

Supplement 2: Kinetics 2 — *posted 29 Apr 2019*

Supplement 3: Another Look at Fokker Planck — *posted 29 Apr 2019*

Notes 8: Intermittency 1 — *posted 29 Apr 2019*

Notes 8 Addendum: Diffusion on Random Potential — *posted 02 May 2019*

Notes 9: Intermittency 2 — *posted 02 May 2019*

Supplement 1: Basics of Turbulence — *posted 02 May 2019*

Supplement 2: Notes on Turbulence — *posted 02 May 2019*

Supplement 3: Fluids in Flatland (2-D) — *posted 02 May 2019*

Supplement 4: Basic OV Lecture on Turbulence — *posted 02 May 2019*

Notes 9 Addendum: Multifractality in Turbulence — *posted 09 May 2019*

Notes 10: Fractional Brownian Motion, Hurst Parameter, 1/f Noise — *posted 09 May 2019*

Notes 11: L-Stable Distributions, Levy Walks, etc. — *posted 16 May 2019*

Notes 12: Physics of Levy Flights, CTRW and Fractional Kinetics I — *posted 16 May 2019*

Notes 13: Basics of Fractional Kinetics — *posted 23 May 2019*

Notes 14: More on CTRW and FK; Montroll–Weiss Equation — *posted 23 May 2019*

Notes 15: Self-organized Criticality and Avalanches I — *posted 30 May 2019*

Notes 16: SOC II — Hydrodynamic Models of Avalanche Turbulence — *posted 30 May 2019*

Notes 17: "Noisy Burgulence" and Turbulence Closures — *posted 03 June 2019*

Notes 18: Avalanching and SOC Phenomena in MFE Plasmas — *posted 03 June 2019*

Notes 19: A Look at Other Directions — *posted 06 June 2019*

Lectures 1-3 – Feng-Jen Chang: Diffusion in Stochastic Magnetic Fields — *posted 22 Apr 2019*

Lectures 4, 5 – Robin Heinonen: Particle and Momentum Transport in Stochastic Fields, Taylor, Dupree, and Resonance Broadening and a First look at High Kubo Number — *posted 02 May 2019*

Lectures 6-9 – Rebecca Masline: High Kubo Number Transport, Percolation, Shear Dispersion — *posted 13 May 2019*

Lectures 9-11 – Kenneth Gage: Intermittency &ndash Basic Concepts, Multiplicative Processes, and Fractal/Multi-Fractal Models — *posted 30 May 2019*

Lectures 12-14 – Chang-Chun Chen: Fractal Brownian Motion, Levy Stable Distributions, and CTRW — *posted 06 June 2019*

Lectures 15, 16 – Alex Knyazev: Fractional Kinetics and Applications of CTRW — *posted 06 June 2019*

Lectures 17, 18 – Jung-Tsung Li: To Avalanches and Self-Organized Criticality — *posted 06 June 2019*

On Experimental Research on Avalanches in Magnetic Fusion Energy – Feng-Jen Chang — *posted 13 Jun 2019*

Nonlocal Transports and Avalanches – Chang-Chun Chen — *posted 17 Jun 2019*

Isotope Effect on Transport in L-mode Plasmas in DIII-D – Genevieve DeGrandchamp — *posted 17 Jun 2019*

Analysis of Fast ion Intermittent Transport due to Alfvén Eigenmodes on DIII-D – Kenneth Gage — *posted 17 Jun 2019*

Hurst exponents for Hasegawa–Wakatani Turbulence – Robin Heinonen — *posted 17 Jun 2019*

Accelerator Modes in Stochastic Electron Heating – Alex Knyazev — *posted 14 Jun 2019*

Turbulent Damping of Cosmic Ray-Induced Streaming Instability – Jung-Tsung Li — *posted 13 Jun 2019*

Critical Gradient Behavior of Fast Ions – Daniel Lin — *posted 17 Jun 2019*

"The Blob," *or* On diffusive and ballistic transport of intermittent coherent
structures in the scrape-off layer – Rebecca Masline — *posted 14 Jun 2019*

Notes 1: Transport in Stochastic Fields -Diffusive Dynamics 1 - *posted 05 April 2016*

Notes 2: Transport in Stochastic Fields-Diffusive Dynamics 2 - *posted 07 April 2016*

Notes 3: Stochastic Fields:Particle Transport; Toward High Ku - *posted 10 April 2016*

Notes 4: Random Medium Analogues - *posted 12 April 2016*

Notes 5: Review, Transport and Random Media, Introduction to Percolation - *posted 18 April 2016*

Notes 6: Introduction to Intermittency - * posted 4 May 2016*

Notes 7: Divertimento on Intermittency and Fractals - *reposted 2 May 2016*

Notes 8: Hurst Exponent, R/S Analysis, Fractal Dimension, Levy Stability - *posted 16 May 2016*

Notes 9: Systematics of Levy Flights, Introduction to CTRW Models of Anomalous Diffusion - *reposted 27 May 2016*

Notes 10: Calculating Anomalous Transport by Fractional Kinetics - *posted 27 May 2016*

Notes 11: Self Organized-Criticality-Intro and Basics - *posted 9 June 2016*

Notes 12: Self Organized Criticality: Hydrodynamic Models - *posted 10 June 2016*

Notes 13: Overview of Self-Organized Criticality with MFE Focus-for APTWG 2016 - *reposted 20 June 2016*

Week 1 - R. Hajjar: Stochasticity and Stochastic Field Transport - *posted 27 April 2016*

Week 2 - K. Thompson: Stochastic Field Effects on Zonal Flows, Features of Ku > 1 Regime, Diffusion in GC Plasma - *posted 5 May 2016*

Week 3 - Y. Zhang: Models of Transport in Large Ku Regime: Taylor Cell Problem, Shear Dispersion, Intro to Percolation Theory - *posted 5 May 2016*

Week 4 - X. Fan: Introduction to Phase Synchronization - Lectures by Dr. Zhibin Guo - *posted 11 May 2016*

Week 5 - J. Li: Intermittency I: Lognormal Distribution and Multiplicative Processes, Stochastic ODE and PDE, Role of Higher Moments - *posted 19 May 2016*

Week 6 - R. Hong: Fractal Models of Intermittency, Beta Model, Hurst Exponent - *posted 23 May 2016*

Week 7 - R. Hajjar: Hurst Exponent Cont'd, Levy-Pareto, 1/f Noise, Levy Stability and Flights - *posted 2 June 2016*

Week 8 - K. Thompson: Theory of Continuous Time Random Walks and Fractional Kinetics - *posted 6 June 2016*

Week 9 - Y. Zhang: Self Organized Criticality: Basic Concepts and Hydrodynamic Models - *posted 13 June 2016*