In the early 1990s, Jauniaux moved to New York City where she became part of the Downtown music scene, performing with a number of musicians, including Fred Frith, Tom Cora, Marc Ribot, Zeena Parkins, Butch Morris and Ikue Mori. Jauniaux founded the duo Vibraslaps with Ikue Mori and later married Tom Cora. In 1995 Jauniaux and Cora moved to Southern France where she continued performing with various musicians, including Louis Sclavis, Heiner Goebbels, Otomo Yoshihide and Christian Marclay.
Jauniaux works regularly with artists in the field of dance and film, and sang in Heiner Goebbels's opera, Roemische Hunde in Frankfurt in 1991. She is inspired by traditional music, both real and imagined, and her performances mix seriousness and humour. She explores sound, emotion, melody and abstraction, and her vocal improvisations range from "traditional French chansons to breathy folk to Dadaistic glossolalia".