submitted to the RESEARCH WORKSHOP ON SPIN, CHARGE, AND ENERGY CURRENTS IN NOVEL MATERIALS October 1 7, 2017 Hvar, Croatia Dilute superconductivity and ferroelectricity in strontium titanate Clément Collignon, Willem Rischau, Xiao Lin, Alexandre Jaoui, Benôıt Fauqué, Kamran Behnia Laboratoire Physique et Etude de Matériaux (UMR 8213-CNRS), ESPCI, UPMC, PSL, F-75005, Paris, France Submitted : 28-09-2017