In this manuscript, we are interested in a quantum dotconnected to three reservoirs. The Kondo cloud essentially develops inthe third reservoir which is strongly coupled to the quantum dot. Theother two reservoirs are weakly coupled to the quantum dot and areused to probe the system by transport measurements.After modeling such a three-terminal geometry, we have calculated the conductance matrix at zero temperature by Fermi liquids theory.In the remaining of the manuscript, we focus on the case where the third reservoir has a finite size, which confers to its density ofstate a peaks structure.We have first studied the system by the perturbative renormalisation group and have evaluated the Kondo temperature, which is the main energy scale of the problem. Next, we have calculated the conductance matrix of the system atdifferent temperatures. For temperatures much stronger than the Kondotemperature, we have used a perturbative approach. For temperaturesmuch weaker than the Kondo temperature, we have used a Fermi liquidtype theory. In the intermediate regime, we have used a numericalmethod called slave bosons mean field theory. In the latter regime, we have also performed a spectroscopic analysis of the dot density of states.
