Statistical properties of intermittent maps with unbounded derivative (2008)
Cristadoro, Giampaolo, Haydn, Nicolai, Marie, Philippe, Vaienti, Sandro
We study the ergodic and statistical properties of a class of maps of the circle and of the interval of Lorenz type which present indifferent fixed points and points with unbounded derivative. These...
The R´enyi Entropy Function and the Large Deviation of Short Return Times (2008)
Haydn, Nicolai, Vaienti, Sandro
We consider the R´enyi entropy function for weakly -mixing systems. The first main result proves existence and regularity properties. The second main result of the paper is to get the decay rate for...
The compound Poisson distribution and return times in dynamical systems (2008)
Haydn, Nicolai, Vaienti, Sandro
Previously it has been shown that some classes of mixing dynamical systems have limiting return times distributions that are almost everywhere Poissonian. Here we study the behaviour of return times...
The R´enyi Entropy Function and the Large Deviation of Short Return Times (2008)
Haydn, Nicolai, Vaienti, Sandro
We consider the R´enyi entropy function for weakly -mixing systems. The first main result proves existence and regularity properties. The second main result of the paper is to get the decay rate for...
The compound Poisson distribution and return times in dynamical systems (2008)
Haydn, Nicolai, Vaienti, Sandro
Previously it has been shown that some classes of mixing dynamical systems have limiting return times distributions that are almost everywhere Poissonian. Here we study the behaviour of return times...
Convergence of the Natural Approximations of Piecewise Monotone Interval Maps (2007)
: We consider piecewise monotone interval mappings which are topologically mixing and satisfy the Markov property. It has previously been shown that the invariant densities of the natural...
Convergence of the Transfer Operator for Rational Maps (1997)
: We prove that the transfer operator for a general class of rational maps converges exponentially fast in the supremum norm and in Holder norms for small enough Holder exponents to its principal...
Topological entropy of generalized polygon exchanges (1994)
Gutkin, Eugene, Haydn, Nicolai
We obtain geometric upper bounds on the topological entropy of generalized polygon exchange transformations. As an application of our results, we show that billiards in polygons and rational...