PATH-INTEGRAL FOR THE QUANTUM BAKERS MAP

We derive a formally exact sum of path integrals for the quantum propa gator of the baker's transformation. The phases depend only on the cla ssical actions as in usual phase space path integrals and the sums are over all the symbolic orbits. The deduction depends on multiple Poiss on transformations, which lead to a further infinite sum of integrals, but our computations for the propagator and its trace for two iterati ons show that this is rapidly convergent. Explicit formulae for the qu antum corrections to the semiclassical propagator are presented for th is case.