How Complex is the Ulam Spiral?

From Wikipedia: “The Ulam spiral, or prime spiral (in other languages also called the Ulam Cloth) is a simple method of visualizing the prime numbers that reveals the apparent tendency of certain quadratic polynomials to generate unusually large numbers of primes. It was discovered by the mathematician Stanislaw Ulam in 1963…” How complex is it?…

Index Complexity – Science Confirms Intuition

Which of these US market indices is the most complex: DJI, NASDAQ or the S&P? Surely, it is the NASDAQ because it is full of tech stocks. The DJI, being based on what we would call the real economy, is quite the opposite, more suited for investors who are less risk-hungry. The S&P clearly lies somewhere in the…

The Principle of Ignorance

  The Principle of Ignorance is a ‘corollary’ of the Principle of Fragility, which states:   Complexity  X  Uncertainty  =  Fragility   This principle states that highly complex actions (or business models) lead to situations of fragility in uncertain environments (e.g. markets). For example, a highly articulated portfolio may result to be fragile in a…

Optimum-Complexity Portfolios: How to Invest in Turbulent Times

Research confirms that high portfolio complexity impacts negatively mid and long-term expected returns. This is because high complexity is a formidable source of fragility, hence vulnerability. In a turbulent economy highly vulnerable portfolios and financial products are more exposed and more volatile. Therefore, a new portfolio design strategy based on complexity has recently been developed.…

Ontonix Runs the Largest Complexity Group in Linkedin

  One of the oldest groups dedicated to complexity, our Linkedin group is also the largest, with over 1600 members. But what distinguishes our group is that it is dedicated to a quantitative approach to complexity. In our group we discuss the properties of complexity as well as its applications not by talking about but…