43 citations · 43 across the 1 of their papers we have counts for
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Statistics of renormalized on-site energies and renormalized hoppings for Anderson localization models in dimensions d=2 and d=3
Cecile Monthus, Thomas Garel
For Anderson localization models, there exists an exact real-space renormalization procedure at fixed energy which preserves the Green functions of the remaining sites [H. Aoki, J.…
Anderson transitions : multifractal or non-multifractal statistics of the transmission as a function of the scattering geometry
Cecile Monthus, Thomas Garel
The scaling theory of Anderson localization is based on a global conductance that remains a random variable of order O(1) at criticality. One realization of such a conductanc…
Statistics of the two-point transmission at Anderson localization transitions
Cecile Monthus, Thomas Garel
At Anderson critical points, the statistics of the two-point transmission for disordered samples of linear size is expected to be multifractal with the following properti…
Random wetting transition on the Cayley tree : a disordered first-order transition with two correlation length exponents
Cecile Monthus, Thomas Garel
We consider the random wetting transition on the Cayley tree, i.e. the problem of a directed polymer on the Cayley tree in the presence of random energies along the left-most bonds…
Anderson transition on the Cayley tree as a traveling wave critical point for various probability distributions
Cecile Monthus, Thomas Garel
For Anderson localization on the Cayley tree, we study the statistics of various observables as a function of the disorder strength and the number of generations. We first…
Freezing transition of the random bond RNA model: statistical properties of the pairing weights
Cecile Monthus, Thomas Garel
To characterize the pairing-specificity of RNA secondary structures as a function of temperature, we analyse the statistics of the pairing weights as follows : for each base …