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The last few years have seen the emergence of novel and entirely digital forms of economic exchange. Indeed, we have witnessed the emergence of sharing economy marketplaces where individuals can share...
Mathematical theory of billiards is a fascinating subject providing a fertile source of new problems as well as conjecture
testing in dynamics, geometry, mathematical physics and spectral
theory. Th...
Effective statistical physics of Anosov systems
Effective statistical physics Anosov systems
2010/12/15
We present evidence indicating that Anosov systems can be endowed with a unique physically
reasonable e ective temperature. Results for the two paradigmatic Anosov systems (i.e., the cat map and the ...
Estimators, Escort Probabilities, and $\phi$-Exponential Families in Statistical Physics
Escort probability Lower bound of Cramer and Rao Generalized exponential family Statistical manifold Nonextensive thermostatistics
2008/7/1
The lower bound of Cramér and Rao is generalized to pairs of families of probability distributions, one of which is escort to the other. This bound is optimal for certain families, called -exponential...