Samstag, 28. Januar 2012

Architecture: Hedonistic sustainability

I've been only twice to Copenhagen, but I really liked it there. That's of course because the Danish people are very nice, but also because I really like how the city feels.
There's a great TEDtalk on architecture by some Danish with focus on sustainability: Link to TED page.

I strongly suggest to not watch the video in the embedded video frame size!

Freitag, 27. Januar 2012

Market Makers & Prediction Markets

A while ago I posted on the idea of futarchy and followed up with a post on implementation and issues of virtual stock markets.

I only posted links on auction markets, i.e. where one party makes an offer, another one a request and the system finds a match. That only works good for systems with high liquidity. Especially on prediction markets with combinatorical outcomes (e.g. of the form "if person A becomes the candidate for party 1, then party 2 will win the election" or even more complex constructions) this is difficult: you need to find people making similar opposite bets to match. A way around of this is to use a market maker instead of an auctioneer. It takes the trades directly instead of leading a negotiation between to parties. The price is set automatically by the system. This, of course, also has drawbacks. In a real life system, the market maker provides liquidity and thus is at risk losing some money. Moreover, the pricing of the goods depends on parameters of the market maker. Wrong values for thick or thin (i.e. markets with many/few participants) might make the price either bounce up and down or move only tiny bits.

Samstag, 7. Januar 2012

Uncertainity Principle(s)

Most people know a formulation of the uncertainity principle in quantum mechanics (by Heisenberg), where it basically gives a bound (in terms of the standard deviations of ~) for simultaneous measurements of complementary properties (i.e. measurement operators with non-negative commutator).

There are a number of other places where the principce turns up. It comes from an application of the cauchy schwarz inequality to the fourier transformation. Here's a set of (german) slides from a lecture. Recently Terry Tao posted on a a formulation of the principle due to Mongomery, which has applications in analytic number theory.

Dienstag, 3. Januar 2012

On Human Brain Size; the Conciousness and Anaesthesia

A happy new year to all readers. I just got two articles with some references on further resources:

In near future, I will post some more math; I just haven't read all the things I stumbled on.

edit: let me squeeze in another link to an article:

Language learning is fast when words are connected with movements/gestures, which is also true for abstract words with no obvious gesture for it.