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Transience in Dynamical Systems
Equilibrium states thermodynamic formalism transience interval maps
2010/12/6
We extend the theory of transience to general dynamical systems with no Markov structure assumed. This is linked to the theory of phase transitions. We also provide examples of new kinds of transient ...
Integrable (2+1)-dimensional systems of hydrodynamic type
dispersionless integrable system hydrodynamic reduction system of Gibbons–Tsarev type
2010/12/15
We describe the results that have so far been obtained in the classifica-tion problem for integrable (2+1)-dimensional systems of hydrodynamic type.
On the thermodynamics of classical micro-canonical systems
thermodynamics classical micro-canonical systems
2010/12/15
We study the configurational probability distribution of a mono-atomic gas with a finite number of particles N in the micro-canonical ensemble. We give two arguments why the thermodynamic entropy of t...