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Open opportunities for visitors and volunteers:
We are looking for outstanding and motivated volunteers (undergrad and grad students) to help with our toy projects:
- Statistical Mechanics of Networks
The aim of this project is (i) to have a literature review on studying complex networks from the perspective of statistical mechanics and (ii) to do some research on this topic.
- The paradox of Coarse–Grained Entropy
The second law of Thermodynamics tells us that the entropy must increase with time, except for equilibrium situations, and Liouville’s theorem tells us that the entropy can never change. This paradox is the principal reason why entropy is such an interesting quantity, why the second law is such a remarkable law. In classical statistical mechanics, the number of microstates is actually uncountably infinite, since the properties of classical systems are continuous. If we want to define Ω, we have to come up with a method of grouping the microstates together to obtain a countable set. This procedure is known as coarse-graining. For more details, you can check a work by V. Latora and a paper from M. Baranger.
- Multifractality in Music Pitches
We have shown that some of Bach’s pitch series can be considered as a stochastic process with scaling behavior. Using the multifractal detrended fluctuation analysis (MF-DFA) method, the frequency series of Bach pitches have been analyzed. Comparing MF-DFA results of the original series to those for shuffled and surrogate series, we can distinguish multifractality due to long-range correlations and a broad probability density function. Finally, we have determined the scaling exponents and singularity spectrum. We concluded that the fat tail has more effect on the multifractality nature than long-range correlations.
- Wikipedia as a complex system!
The aim of this project is (i) to have a literature review on studying Wikipedia as a complex system and (ii) to do some research on this topic.
- LANL Earthquake Prediction
Can you predict upcoming laboratory earthquakes? Forecasting earthquakes is one of the most important problems in Earth science because of their devastating consequences. Current scientific studies related to earthquake forecasting focus on three key points: when the event will occur, where it will occur, and how large it will be.