Previously (ex. while speaking about the multifractality of time series) we have already discussed that fractals are observed in many daily phenomena. Interestingly enough we can eat fractals for our breakfast! Recently we have found an article 1 which studies fractal structures, 1/f-like noise in ham! Continue reading “Fractals in pork!” »
In the last year we have already written that work in the context of Physics of Risk provides varying insights into very different complex systems. The previous article 1 contained brief review of Physics of Risk platform and discussions on some of the models published using it. This article received great response and was even awarded the Best Paper Award by the publisher IARIA. Continue reading “IARIA publication reviewing our different research directions” »
In the next Physica A issue (will be made available in February, 2012) our article 1 will be published. The article is on the agent based reasoning for the stochastic models. Basically this article incorporates knowledge obtained while working on the simple models provided on Physics of Risk: Continue reading “Our recent articles on agent based reasoning and the burst statistics” »
One of the conclusions of fractal geometry is a fact that fractals unlike traditional Euclidean shapes lack characteristic scale. Those “fractured” objects are self-similar – defining geometry is clearly visible on multitude of scales. It is known that self-similarity is observed not only in formally defined geometric objects, such as Sierpinsky triangle or Koch snowflake, but also in the surrounding nature. One of my most favorite examples is a comparison of tree, its branches and a leaf (for more inspiring examples see introduction of Fractals section) – they all have branching structure and something green filling the extra space in between.
The interesting thing, in context of the topic in focus, is that one can extend fractal formalism beyond formal or natural geometric shapes. It is also noticed that some of the natural processes exhibit fractal features in their time series! It is known that geoelectrical processes 1, heartbeat 2 and even human gait 3 time series posses this feature. While financial market, frequently analyzed on Physics of Risk website, time series are also no exception 4, 5. Though the aforementioned time series are much more complex – they exhibit not monofractality (single manner self-similar behavior as the aforementioned formal geometric fractals do), but multifractality! Continue reading “Multifractality of time series” »