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Table of Contents: “...Chapter 1: History of Brownian Motion in a Nutshell -- Chapter 2: The Random Elevator Game -- Chapter 3: Solution of the Diffusion Equation in Free Space -- Chapter 4: Solution of the Diffusion Equation in Free Space -- Chapter 5: Diffusion Between Two...”

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Table of Contents: “...Overview -- Dynamics of the classical Toda lattice -- Static properties -- Dyson Brownian motion -- Hydrodynamics for hard rods -- Equations of generalized hydrodynamics -- Linearized hydrodynamics and GGE spacetime correlations -- Domain wall initial...”

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Table of Contents: “...Some Things I Have Learned From Detlef Dürr -- Detlef Dürr's Path from Mechanics of the Brownian Motion to the Mechanics of the Quantum World -- Detlef the Adventurer -- Why Bohm and Only Bohm? -- The Prodigy That Time Forgot: The Incredible and Untold...”

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Table of Contents: “.... Random walks: Brownian motion and the tree of life -- Chapter 6. Diffusion: Membrane permeability and the rate of actin polymerization -- Chapter 7. Rates of change: drugs, infections, and weapons of mass destruction -- Chapter 8. Statistical Mechanics...”

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Table of Contents: “... Boltzmann and Fokker-Planck equations -- 10. Elasticity and thermal expansion coupling -- 11. Some Exact Solutions -- 12. Relativistic Brownian Motion -- 13. Relativistic Boltzmann Equation -- 14. Variational Models -- 15. Relativistic Thermodynamics -- 16...”

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Table of Contents: “... and Bioforensic Science -- Natural patterns, theoretical models and new insights in material characterization -- 15. Medical Devices Based on Mimicry in Light-Matter Interaction: "Structured Matter Ðœeets Structured Light" -- 16. Brownian Motion Fractal Nature Frontiers...”

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Table of Contents: “... and Functionality in Plant Surfaces -- Brain Interstitial Structure Revealed Through Diffusive Spread of Molecules -- Turbulent Diffusion in the Atmosphere -- Hot Brownian Motion -- On Phase Transitions in Biased Diffusion of Interacting Particles....”

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Table of Contents: “...4. Entropy for Brownian motion, fluctuations, and stochastic trajectories -- 4.1. Brownian motion -- 4.2. Fokker-Planck equation -- 4.3. Stochastic calculus -- 4.4. Generalized equipartition theorem -- 4.5. Liouville's approximation -- 4.6. Generalized...”

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Table of Contents: “...6. Optical tweezers -- 6.1. A historical introduction to the optical tweezer -- 6.2. The theory and fundamental principle of optical trapping -- 6.3. Brownian motion in optical tweezers -- 6.4. Experimental setups -- 6.5. Single living blood cell...”

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Table of Contents: “... by Neural Networks of Brownian Motion -- Neural Networks Approximation of Time Separating Stochastic Processes -- Fractional Calculus between Banach spaces together with Ostrowski and Gr¨uss kind of inequalities -- Sequential Fractional Calculus between Banach...”

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Table of Contents: “... as Functionalism about Time -- Quantum Hierarchical Systems: Fluctuation Force by Coarse-Graining, Decoherence by Correlation Noise -- Decoherence and the puzzle of quantum Brownian motion in a gas -- On the statistical viewpoint concerning the second law...”

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Table of Contents: “...Time-averaged statistics-based methods for anomalous diffusive exponent estimation of fractional Brownian motion -- First-order integer valued AR processes with zero-inflated innovations -- Asymptotics of alternative interdependence measures for two...”

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Table of Contents: “..., Richardson -- Chapter 7 - Boltzmann, Statistical Mechanics, Brownian Motion -- Chapter 8 - Boltzmann, Atoms, Statistical Mechanics, Mesoscale Systems -- Chapter 9 - Prediction: Chaos, Poincar e, Richardson, Models, Big data -- Chapter 10 - Statistical Mechanics...”

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Table of Contents: “... Handwritten Bangla and Devanagari Basic Characters: A Transfer Learning Approach -- Image Solution of Stochastic Differential Equation of Diffusion Type Driven by Brownian Motion....”

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Table of Contents: “... and M. Abbaszade: AI Driven Cyber Physical Industrial Immune System for Defenders of Critical Energy Infrastructure -- I.S. Moskowitz, N.L. Brown and Z. Goldstein: A fractional Brownian Motion Approach to Psychological and Team Diffusion Problems -- P...”

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