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Free Download Unpredictable - Randomness, Chance, and Free Will Torrent + direct link

 

 


Free Download- Unpredictable - Randomness, Chance, and Free Will-Torrent + direct link





Overview

This cross-disciplinary course deals with the undetermined, the unpredictable -- or what appears to be such. Among the questions that will be addressed are:
How is randomness defined?
How has randomness, often seen as a nuisance, become a useful resource for communication and computing? How is it generated?
How can physicists make the astounding claim that there is real randomness in nature?
Can our apparently free acts be predicted by monitoring the activity of the brain?





Syllabus

Lecture 1: Basic of randomness

History of randomness

The fair coin as ideal case

Definitions of randomness

Lecture 2: Randomness as a resource

Review of various tasks in which randomness is used

Randomized algorithms and de-randomization

Cryptography: randomness for secrecy

Zero-knowledge proofs

Lecture 3: Characterizing a source of randomness

The biased coin and other weaker sources of randomness

Amount of randomness: min-entropy

Extraction of randomness

Lecture 4: Noise as a random number generator

Definition of "noise"

Thermal noise: example of a resistor

How to extract random numbers from thermal fluctuations

Lecture 5: Deterministic chaos

Physical (in)determinism

Definition and examples of chaos

Lecture 6: Quantum physics, a first encounter

Overview of quantum physics

Single-particle interferences (Mach-Zehnder, double slit)

Uncertainty

Lecture 7: Intrinsic randomness and its practical uses

Bell's theorem and its implication

Elements of quantum information science

Lecture 8: Introduction to free will in science

Measurement independence

Quanta in the brain?

Libet's experiments

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