Abstract: 'We deal with the question under which conditions a given Hamiltonian diffeomorphism on an even-dimensional ball D2n embeds into the Reeb flow of a contact form on the odd-dimensional sphere S2n+1 and give a general sufficient criterion for arbitrary dimensions. A crucial ingredient is Lerman’s cut construction. In the special case n =1, we consider irrational pseudorotations on D2 constructed by Fayad and Katok and see that they embed into the Reeb flow of a dynamically convex contact form on S3.'
