See the papers: "Transfer Principle for the Fundamental Lemma" by Loeser, Cluckers and Hales http://www.math.jussieu.fr/~loeser/transfer_fl_2010_10_14.pdf (with an application to the fundamental lemma), "Constructible exponential functions, motivic Fourier transform and transfer principle" by Loeser and Cluckers http://www.math.jussieu.fr/~loeser/aom_cl.pdf and "Transfer principles for integrability and boundedness conditions for motivic exponential functions" by R. Cluckers, J. Gordon, I. Halupczok http://arxiv.org/pdf/1111.4405v1.pdf for examplewhich all use and devleop transfer principle from finite characteristic to zero characteristic and vice versa.