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We formulate a general set of consistency requirements, which are expected to be satisfied by the scattering matrices in the presence of reflecting boundaries. In particular we derive an equivalent to the boostrap equation involving the W-matrix, which encodes the reflection of a particle off a wall. This set of equations is sufficient to derive explicit… (More)

We show that the “boundary crossing-unitarity equation” recently proposed by Ghoshal and Zamolodchikov is a consequence of the boundary bootstrap equation for the S-matrix and the wall-bootstrap equation. We solve this set of equations for all affine Toda theories related to simply laced Lie algebras, obtaining explicit formulas for the W-matrix which… (More)

We demonstrate that the generalization of the Coleman-Thun mechanism may be applied to the situation, when considering scattering processes in 1+1-dimensions in the presence of reflecting boundaries. For affine Toda field theories we find that the binding energies of the bound states are always half the sum over a set of masses having the same colour with… (More)

- N. M. Fernandes, B. D. L. Pinto, Lírio Onofre Baptista de Almeida, Jan Frans Willem Slaets, Roland Köberle
- Neural Computation
- 2010

We study the reconstruction of visual stimuli from spike trains, representing the reconstructed stimulus by a Volterra series up to second order. We illustrate this procedure in a prominent example of spiking neurons, recording simultaneously from the two H1 neurons located in the lobula plate of the fly Chrysomya megacephala. The fly views two types of… (More)

- Rodrigo Capobianco Guido, Jan Frans Willem Slaets, Roland Köberle, Lírio Onofre Baptista de Almeida, Jose Carlos Pereira
- Digital Signal Processing
- 2006

- Lírio Onofre Baptista de Almeida, Jan Frans Willem Slaets, Roland Köberle
- Neurocomputing
- 2011

- Murilo S Baptista, Lirio O B de Almeida, Jan F W Slaets, Roland Köberle, Celso Grebogi
- Philosophical transactions. Series A…
- 2008

Is the characterization of biological systems as complex systems in the mathematical sense a fruitful assertion? In this paper we argue in the affirmative, although obviously we do not attempt to confront all the issues raised by this question. We use the fly's visual system as an example and analyse our experimental results of one particular neuron in the… (More)

- M S Baptista, Celso Grebogi, Roland Köberle
- Physical review letters
- 2006

We dynamically analyze our experimental results on the motion sensitive spiking H1 neuron of the fly's visual system. We find that the fly uses an alphabet composed of a few letters to encode the information contained in the stimulus. The alphabet dynamics is multifractal both with and without stimulus, though the multifractality increases with the stimulus… (More)

- R. KÖBERLE
- 2008

We solve for the spectrum of quantum spin chains based on representations of the Temperley-Lieb algebra associated with the quantum groups Uq(Xn) for Xn = A1, Bn, Cn and Dn. We employ a generalization of the coordinate Bethe-Ansatz developed previously for the deformed biquadratic spin one chain. As expected, all these models have equivalent spectra, i.e.… (More)