Positive muon spin relaxation measurements performed on the ferromagnet UGe2 reveal, in addition to the well known localized 5f -electron density responsible for the bulk magnetic properties, the existence of itinerant quasi-static magnetic correlations. Their critical dynamics is well described by the conventional dipolar Heisenberg model. These correlations involve small magnetic moments.PACS numbers : 74.70. Tx, 76.75.+i The discovery of superconductivity below 1 K within a limited pressure range in the ferromagnet UGe 2 [1-4] provides an unanticipated example of coexistence of superconductivity and strong ferromagnetism. The electronic pairing mechanism needed for superconductivity is believed to be magnetic in origin. However, it is amazing that ferromagnetically ordered uranium magnetic moments with so large magnitude (∼ 1.4 µ B at ambient pressure as deduced from magnetization measurements) are directly involved [5]. Since the pairing must involve the conduction electrons, it is important to characterize their magnetic properties. Because of the restrictions imposed by the magnetic form factor, this can not be done by diffraction techniques. As the muons localize in interstitial sites, they have the potentiality to yield information on the conduction electrons. Here we show, using the muon spin relaxation technique, that UGe 2 is actually a dual system where two sub-states of f electrons coexist. We indeed report the existence at ambient pressure of itinerant long-range magnetic correlations with magnetic moments of ∼ 0.02 µ B and a spectral weight in the megahertz range. A quantitative understanding of this state is moreover reached assuming that these correlations involve only long wavelength fluctuation modes.UGe 2 is a ferromagnet with a Curie temperature T C ≃ 52 K which crystallizes in the orthorhombic ZrGa 2 crystal structure (space group Cmmm) [6,7]. Magnetic measurements indicate a strong magnetocrystalline anisotropy [8,9,3] with easy magnetization axis along the a axis.We present results obtained by the muon spin relaxation (µSR) technique. Fully polarized muons are implanted into the studied sample. Their spin (1/2) evolves in the local magnetic field, B loc , until they decay into positrons. Since the positron is emitted preferentially in the direction of the muon spin at the decay time, it is possible to follow the evolution of the muon spin polarization [10,11]. The measured physical parameter is the so-called asymmetry which characterizes the anisotropy of the positron emission. Below T C , if B loc has a component perpendicular to the initial muon beam polarization, S µ (taken parallel to Z), we expect the asymmetry to display spontaneous oscillations with an amplitude maximum for B loc ⊥ S µ . On the other hand, if B loc S µ , the asymmetry can be written as the product of an initial asymmetry related to sample, a s , and the muon spin relaxation function, P Z (t), which monitors the dynamics of B loc .UGe 2 crystals were grown from a polycrystalline ingot using a Czochralski tri-arc ...