Add to ORKGI consider a mathematical model for the conductance of a system formed by a hi- erarchical network of random bonds. My simulations show that the net conductance converges to a fixed number γ ≈ 0.35337 when the conductances of the bonds are num- bers selected uniformly at random from the interval (0,1). By linearly approximating the model around γ, I derive a new simplified model which I then study in rigorous mathematical detail. I prove a generalized central limit theorem for the new linearized system
We consider resistor networks on $\Z^d$ where each nearest-neighbor edge is assigned a non-negative ...
Transport in undoped graphene is related to percolating current patterns in the networks of n- and p...
We consider random graphs with uniformly bounded edges on a Poisson point process conditioned to con...
I consider a mathematical model for the conductance of a system formed by a hi- erarchical network o...
We study a random conductance problem on a d-dimensional discrete torus of size L > 0. The conductan...
International audienceWe study a random conductance problem on a d-dimensional discrete torus of siz...
We study a continuous time random walk X in an environment of i.i.d. random conductances μe∈ [0,∞) i...
For very long bars of size n x n x L, with L >> n, and n up to 18, we calculate the conductivity of...
We study the random conductance model on the lattice $Z^d$, i.e. we consider a linear, finite-differ...
We consider a random walk in an i.i.d. Cauchy-tailed conductances en-vironment. We obtain a quenched...
Journal ArticleThe bulk conductivity o*(p) of the bond lattice in Zd is considered, where the conduc...
We consider resistor networks on Zd where each nearest-neighbor edge is assigned a non-negative rand...
The two-probe conductance, g, of a disordered quantum system with N tranverse scattering channels is...
Journal ArticleThe bulk conductivity o*(p) of the bond lattice in Zd with a fraction p of conducting...
We analyze random resistor networks through a study of lattice Green's functions in arbitrary dimens...
We consider resistor networks on $\Z^d$ where each nearest-neighbor edge is assigned a non-negative ...
Transport in undoped graphene is related to percolating current patterns in the networks of n- and p...
We consider random graphs with uniformly bounded edges on a Poisson point process conditioned to con...
I consider a mathematical model for the conductance of a system formed by a hi- erarchical network o...
We study a random conductance problem on a d-dimensional discrete torus of size L > 0. The conductan...
International audienceWe study a random conductance problem on a d-dimensional discrete torus of siz...
We study a continuous time random walk X in an environment of i.i.d. random conductances μe∈ [0,∞) i...
For very long bars of size n x n x L, with L >> n, and n up to 18, we calculate the conductivity of...
We study the random conductance model on the lattice $Z^d$, i.e. we consider a linear, finite-differ...
We consider a random walk in an i.i.d. Cauchy-tailed conductances en-vironment. We obtain a quenched...
Journal ArticleThe bulk conductivity o*(p) of the bond lattice in Zd is considered, where the conduc...
We consider resistor networks on Zd where each nearest-neighbor edge is assigned a non-negative rand...
The two-probe conductance, g, of a disordered quantum system with N tranverse scattering channels is...
Journal ArticleThe bulk conductivity o*(p) of the bond lattice in Zd with a fraction p of conducting...
We analyze random resistor networks through a study of lattice Green's functions in arbitrary dimens...
We consider resistor networks on $\Z^d$ where each nearest-neighbor edge is assigned a non-negative ...
Transport in undoped graphene is related to percolating current patterns in the networks of n- and p...
We consider random graphs with uniformly bounded edges on a Poisson point process conditioned to con...