Completely positive maps on amalgamated product C*-algebras.
The structure of higher-dimensional noncommutative tori and metric diophantine approximation.
Distribution of the linear flow length in a honeycomb in the small-scatterer limit.
On certain statistical properties of continued fractions with even and with odd partial quotients
On the distribution of the free path length of the linear flow in a honeycomb
Consider the region obtained by removing from the discs of radius , centered at the points of integer coordinates with . We are interested in the distribution of the free path length (exit time) of a point particle, moving from along a linear trajectory of direction , as . For every integer number , we prove the weak convergence of the probability measures associated with the random variables , explicitly computing the limiting distribution. For , respectively , this result leads...
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