In this paper we derive the scaling fields in c = −2 conformal field theory associated with weakly allowed clusters in abelian sandpile model and show a direct relation between the two models.

Artificial neural networks are extremely used for detection of spread-spectrum signals in multiple-access environments. In this paper we suggest the use of generalized regression neural networks… (More)

Ordinary SLEk is defined using a Wiener noise and is related to CFT’s which have null vector at level two of conformal tower. In this paper we introduce stochastic variables which are made up of… (More)

Formal Loewner evolution is connected to conformal field theory. In this letter we introduce an extension of Loewner evolution, which consists of two coupled equations and connect the martingales of… (More)

We calculate the excursion and meander area distributions of the elastic Brownian motion by using the self adjoint extension of the Hamiltonian of the free quantum particle on the half line. We also… (More)

We have studied the isoheight lines on the WO3 surface as a physical candidate for conformally invariant curves. We have shown that these lines are conformally invariant with the same statistics of… (More)

We consider the Shannon mutual information of subsystems of critical quantum chains in their ground states. Our results indicate a universal leading behavior for large subsystem sizes. Moreover, as… (More)

We consider the coulomb gas model on the upper half plane with different boundary conditions, namely Drichlet, Neuman and mixed. We related this model to SLE(κ, ρ) theories. We derive a set of… (More)

Perturbation of logarithmic conformal field theories is investigated using Zamolodchikov’s method. We derive conditions for the perturbing operator, such that the perturbed model be integrable. We… (More)

In this letter we investigate the finite size scaling effect on SLE(κ, ρ) and boundary conformal field theories and find the effect of fixing some boundary conditions on the free energy per length of… (More)