The Azimuth Blog is where the Azimuth Project publicizes its work.
This page is an (incomplete) index of articles on the Azimuth Blog. The sections are for series, or other topic categories, and are listed alphabetically. For other articles, there is a section called Authors, with one subsection per author.
Need to add all articles from Feb 2012 up to the present.
These are notes for a course taught by John Baez in the winter quarter of 2013:
- Part 1 - different kinds of games
- Part 2 - two-player normal form games
- Part 3 - Nash equilibria for pure strategies
- Part 4 - strict dominance for pure strategies
- Part 5 - homework problems (and cute pictures of dogs)
- Part 6 - the assumption of mutual rationality
- Part 7 - probabilities
- Part 8 - independence
- Part 9 - coin flips and binomial coefficients
- Part 10 - cards and binomial coefficients
- Part 11 - expected values, risk tolerance and risk aversion
- Part 12 - Nash equilibria for mixed strategies: definitions
- Part 13 - Nash equilibria for mixed strategies: an example
- Part 14 - the first test, and answers to the problems
- Part 15 - maximin strategies for zero-sum games
- Part 16 - security values and maximin strategies
- Part 17 - Nash equilibrium implies maximin
- Part 18 - maximin implies Nash equilibrium... sometimes
- Part 19 - maximin always implies Nash equilibrium, and Nash equilibria always exist
- Part 20 - von Neumann's maximin theorem, and conclusion
Mathematics of the environment
These are notes for a course taught by John Baez in the fall quarter of 2012:
Part 1 - The mathematics of planet Earth.
Part 2 - Simple estimates of the Earth's temperature.
Part 3 - The greenhouse effect.
Part 4 - History of the Earth's climate.
Part 5 - A model showing bistability of the Earth's climate due to the ice albedo effect: statics.
Part 6 - A model showing bistability of the Earth's climate due to the ice albedo effect: dynamics.
Part 7 - Stochastic differential equations and stochastic resonance.
Part 8 - A stochastic energy balance model and Milankovitch cycles.
Part 9 - Changes in insolation due to changes in the eccentricity of the Earth's orbit.
Part 10 - Didier Paillard's model of the glacial cycles.
By John Baez. The web version is a bit more nicely formatted, but the blog version has comments, and of course you can post your own comments there:
Part 1 - the Fisher information metric from statistical mechanics. (web version)
Part 2 - connecting the statistical mechanics approach to the usual definition of the Fisher information metric. (web version)
Part 3 - the Fisher information metric on any manifold equipped with a map to the mixed states of some system. (web version)
Part 4 - the Fisher information metric as the real part of a complex-valued quantity whose imaginary part measures quantum uncertainty. (web version)
Part 5 - an example: the harmonic oscillator in a heat bath. (web version)
Part 6 - relative entropy. (web version)
Part 7 - the Fisher information metric as the matrix of second derivatives of relative entropy. (web version)
• Part 8- information geometry and evolution: how natural selection resembles Bayesian inference, and how it’s related to relative entropy. (website version)
• Part 9 - information geometry and evolution: the replicator equation and the decline of entropy as a successful species takes over. (website version)
• Part 10 - information geometry and evoluton: how entropy changes under the replicator equation. (website version)
• Part 11 - information geometry and evolution: the decline of relative information. (website version)
• Part 12 - information geometry and evolution: an introduction to evolutionary game theory. (website version)
• Part 13 - information geometry and evolution: the decline of relative information as a population approaches an evolutionarily stable state. (website version)
Networks and population biology
By John Baez
Parts 2 to 24 of this series are also available as a book by John Baez and Jacob Biamonte, and as nicely formatted webpages:
Part 1 - toward a general theory of networks.
Part 2 - stochastic Petri nets; the master equation versus the rate equation.
Part 3 - the rate equation of a stochastic Petri net, and applications to chemistry and infectious disease.
Part 4 - the master equation of a stochastic Petri net, and analogies to quantum field theory.
Part 5 - the stochastic Petri net for a Poisson process; analogies between quantum theory and probability theory.
Part 6 - the master equation in terms of annihilation and creation operators.
Part 7 - a stochastic Petri net from population biology whose rate equation is the logistic equation; an equilibrium solution of the corresponding master equation.
Part 8 - the rate equation and master equation of a stochastic Petri net; the role of Feynman diagrams.
Part 9 - the Anderson–Craciun–Kurtz theorem, which gives equilibrium solutions of the master equation from complex balanced equilibrium solutions of the rate equation; coherent states.
Part 10 - an example of the Anderson-Craciun-Kurtz theorem.
Part 11 - a stochastic version of Noether's theorem.
Part 12 - comparing quantum mechanics and stochastic mechanics.
Part 13 - comparing the quantum and stochastic versions of Noether's theorem.
Part 14 - an example: chemistry and the Desargues graph. There's also a special post on answers to the puzzle for this part.
Part 15 - Markov processes and quantum processes coming from graph Laplacians, illustrated using the Desargues graph.
Part 16 - Dirichlet operators and electrical circuits made of resistors.
Part 17 - reaction networks versus Petri nets; the deficiency zero theorem.
Part 18 - an example of the deficiency zero theorem: a diatomic gas.
Part 19 - an example of Noether's theorem and the Anderson–Craciun–Kurtz theorem: a diatomic gas.
Part 20 - Dirichlet operators and the Perron–Frobenius theorem.
Part 21 - warmup for the proof of the deficiency zero theorem: the concept of deficiency.
Part 22 - warmup for the proof of the deficiency zero theorem: reformulating the rate equation.
Part 23 - warmup for the proof of the deficiency zero theorem: finding the equilibria of a Markov process, and describing its Hamiltonian in a slick way.
Part 24 - proof of the deficiency zero theorem.
Part 25 - Petri nets, logic, and computation: the reachability problem for Petri nets.
Petri net programming
By David Tanzer
By John Baez
This Week’s Finds
By John Baez
This Week’s Finds in mathematical physics (week 300)
This Week’s Finds (week 301)
This Week’s Finds (week 302)
This Week’s Finds (week 303)
This Week’s Finds (week 304)
This Week’s Finds (week 305)
This Week’s Finds (week 306)
This Week’s Finds (week 307)
This Week’s Finds (week 308)
This Week’s Finds (week 309)
This Week’s Finds (week 310)
This Week’s Finds (week 311)
This Week’s Finds (week 312)
This Week’s Finds (week 313)
This Week’s Finds (week 314)
This Week’s Finds (week 315)
This Week’s Finds (week 316)
This Week’s Finds (week 317)
This Week’s Finds (week 318)
Babylon and the square root of 2, John Baez and Richard Elwes, Dec 2011
The faculty of 1000, Jan 2012
A quantum Hammersley-Clifford theorem, Jan 2012
How to cut carbon emissions and save money, Jan 2012
Ban Elsevier, Jan 2012
I, Robot, Jan 2012
Classical mechanics versus thermodynamics (part 2), Jan 2012
Classical mechanics versus thermodynamics (part 2), Jan 2012
Going on strike, Jan 2012
The beauty of roots (part 2), Jan 2012
Quantropy (part 1), Dec 2011
Melting permafrost (part 3), Dec 2011
Melting permafrost (part 2), Dec 2011
What’s up with solar power, Dec 2011
The beauty of roots, Dec 2011
The global amphibian crisis, Dec 2011
Mathematics 1001, Dec 2011
Probabilities versus amplitudes, Dec 2011
A bet concerning neutrinos (part 4), Dec 2011
Quantum theory talks in Asia and Australia, Nov 2011
Liquid light, Nov 2011
New climate sensitivity estimate, Nov 2011
Lynn Margulis, Nov 2011
Wild cats of Sumatra, Nov 2011
Eskimo words for snow, Nov 2011
Azimuth on Google Plus (part 4), Nov 2011
Apocalypse, retreat or revolution?, Nov 2011
Major transitions in evolution, Oct 2011
The complexity barrier, Oct 2011
Buycotts, Oct 2011
A math puzzle coming from chemistry, Oct 2011
Bioremediation and ecological restoration job, Oct 2011
A bet concerning neutrinos (part 3), Oct 2011
The decline effect, Oct 2011
The Science Code Manifesto, Oct 2011
Chaitin’s theorem and the surprise examination paradox, Oct 2011
A bet concerning neutrinos (part 2), Oct 2011
The network of global corporate control, Oct 2011
The Lifeboat foundation, Apr 2011
A bet concerning neutrinos, Sep 2011
American oil boom, Sep 2011
The Malay archipelago, Oct 2011
NSF funding for research in Asia, Sep 2011
Climate reality project, Sep 2011
Fool’s gold, Sep 2011
Mathematics of planet earth at Banff, Sep 2011
US weather disasters in 2011, Sep 2011
Melting permafrost, Sep 2011
Bayesian computations of expected utility, Aug 2011
Environmental news from China, Aug 2011
Rationality in humans and monkeys, Jul 2011
Heat wave in the USA, Jul 2011
Australian carbon tax, Jul 2011
Food price spike, Jul 2011
Operads and the tree of life, Jul 2011
Mathematics and the environment in Iran, Jun 2011
Calculating catastrophe, Jun 2011
How sea level rise will affect New York, Jun 2011
Earth system research for global sustainability, Jun 2011
A characterization of entropy, Jun 2011
The Stockholm memorandum, Jun 2011
Is life improbable?, May 2011
The one best thing everyone could do to slow down climate change, May 2011
Outsourcing carbon emissions, May 2011
The melting of Greenland and West Antartica, May 2011
Conferences on math and climate change, May 2011
A question about graduate schools, May 2011
Moore’s law for solar power?, May 2011
Time to wake up?, May 2011
Equinox summit, Apr 2011
What to do?, Apr 2011
The genetic code, Apr 2011
The threefold way, Apr 2011
Chemistry puzzle, Apr 2011
The environment and sustainability institute, Mar 2011
Energy and the environment: what mathematicians can do (part 2), Mar 2011
Mathematics of planet earth, Mar 2011
Energy and the environment: what mathematicians can do (part 1), Mar 2011
Tsunami, Mar 2011
Summer program on climate software, Mar 2011
Guess who wrote this?, Mar 2011
Child Earth, Feb 2011
Rényi entropy and free energy, Feb 2011
Carbon dioxide puzzles, Feb 2011
Petri nets, Jan 2011
Postdoc positions in climate mathematics, Jan 2011
Quantum information processing 2011 (Day 2), Jan 2011
Quantum information processing 2011 (Day 1), Jan 2011
Mathematical economics, Jan 2011
Algorithmic thermodynamics (part 2), Jan 2011
Welcome to the greenhouse, Jan 2011
Adapting to a hotter earth, Dec 2010
Carbon trading in California, Dec 2010
Cancún, Dec 2010
Quantum foundations mailing list, Dec 2010
Archimede: concentrated solar power, Dec 2010
Solèr’s theorem, Dec 2010
State observable duality (part 1), Nov 2010
Carbon emissions in 2009, Nov 2010
Fossil fuel subsidies, Nov 2010
The Azolla event, Nov 2010
Out future, Nov 2010
The 2010 Singapore energy lecture, Nov 2010
The art of math, Oct 2010
Entropy and uncertainty, Oct 2010
Energy return on energy invested, Oct 2010
Algorithmic thermodynamics, Oct 2010
A geometry puzzle, Oct 2010
Power density, Oct 2010
Recommended reading, Oct 2010
Ashtekar on black hole evaporation, Sep 2010
Jacob Biamonte on tensor networks, Sep 2010
Quantum entanglement from feedback control, Sep 2010
Math and the environment in Montreal, Sep 2010
The Siberian tiger, Sep 2010
Quantum dots in cavities, Sep 2010
Sustainability in Palo Alto, Sep 2010
How long would Uranium last?, Sep 2010
Cap and trade in China, Aug 2010
Björn Lomborg’s new book, Aug 2010
Probability puzzles, Aug 2010
Control of cold molecular ions, Aug 2010
Dying coral reefs, Aug 2010
Quantum control theory, Aug 2010
Trends in quantum information processing, Aug 2010
The geometry of quantum phase transitions, Aug 2010
Quantum phase measurement via flux qubits, Aug 2010
Curriki, Aug 2010
Thermodynamics and Wick rotation, Aug 2010
Introduction to climate change, Aug 2010
How hot is too hot?, Jul 2010
High temperature superconductivity, Jul 2010
Elizabeth Kolbert on overfishing, Jul 2010
Climate stabilization targets, Jul 2010
Bose statistics and classical fields, Jul 2010
Turning renewable energy into fuels, Jul 2010
Breaking temperature records, Jul 2010
Quantum steganography, Jul 2010
News about the Younger Dryas, Jul 2010
Tim van Beek
Putting the Earth in a box, June 2011
A quantum of warmth, July 2011
Eddy who?, Aug 2011
Your model is verified, but not valid! Huh?, Jun 2011
Crooks’ fluctuation theorem, Apr 2011
Seven rules for risk and uncertainty, Jan 2011
Curtis Faith on the Azimuth Project, Jan 2011
Measuring biodiversity, Nov 2011
Hierarchical organization and biological evolution (part 1), Aug 2011
Extremal principles in classical, statistical and quantum mechanics, Jan 2012