Model eigenfunction perturbations and group speed tomography

Eigenfunction Expansions and Transformation Theory

Generalized eigenfunctions may be regarded as vectors of a basis in a particular direct integral of Hilbert spaces or as elements of the antidual space Φ× in a convenient Gelfand triplet Φ ⊆ H ⊆ Φ×. This work presents a fit treatment for computational purposes of transformations formulas relating different generalized bases of eigenfunctions in both frameworks direct integrals and Gelfand tripl...

Construction of Indistinguishable Conductivity Perturbations for the Point Electrode Model in Electrical Impedance Tomography

We explain how to build invisible isotropic conductivity perturbations of the unit conductivity in the framework of the point electrode model for two-dimensional electrical impedance tomography. The theoretical approach, based on solving a fixed point problem, is constructive and allows the implementation of an algorithm for approximating the invisible perturbations. The functionality of the me...

Perturbation of eigenfunction expansions.

Φ Perturbations of WZW Model

We study su(2)k WZW model perturbed by a multiplet of primary fields. The theory has a rich variety of particles. Presence of nontrivial decay processes is a peculiarity of the model. We prove integrability by explicit construction of quantum conserved currents. The scattering theory is briefly discussed.

Rule-based modelling and model perturbations

Rule-based modelling has already proved successful for taming the combinatorial complexity, typical of cellular signalling, caused by the combination of physical protein-protein interactions and modifications that may generate astronomical numbers of unique molecular species. However, traditional rule-based approaches, based on an unstructured space of agents and rules, remain susceptible to ot...