Title


"A solvable mapping model for thermodynamics of diverging local expansion rates"

Syuji Miyazaki (Kyoto University)


Abstract


A one-dimensional map topologically conjugate the Bernoulli shift is introduced. Its invariant probability density function turns out to be a Cauchy distribution. The rate function of the local expansion rate, whose long time average is equal to the Lyapunov exponent, is analytically obtained.