Search results for "Exponential law"

showing 1 items of 1 documents

Statistics of return times for weighted maps of the interval

2000

For non markovian, piecewise monotonic maps of the interval associated to a potential, we prove that the law of the entrance time in a cylinder, when renormalized by the measure of the cylinder, converges to an exponential law for almost all cylinders. Thanks to this result, we prove that the fluctuations of Rn, first return time in a cylinder, are lognormal.

Statistics and ProbabilityMathematical analysisMarkov processMonotonic functionCylinder (engine)law.inventionPhysics::Fluid DynamicsReturn timesymbols.namesakelawLog-normal distributionPiecewisesymbolsStatistics Probability and UncertaintyExponential lawMathematicsAnnales de l'Institut Henri Poincare (B) Probability and Statistics
researchProduct