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- Olaf Schenk, Matthias Bollhöfer, Rudolf A. Römer
- SIAM J. Scientific Computing
- 2006

We propose efficient preconditioning algorithms for an eigenvalue problem arising in quantum physics, namely the computation of a few interior eigenvalues and their associated eigenvectors for the… (More)

- Stephen A. Wells, J. E. Jimenez-Roldan, Rudolf A. Römer
- Physical biology
- 2009

We present a comparative study in which 'pebble game' rigidity analysis is applied to multiple protein crystal structures, for each of six different protein families. We find that the main-chain… (More)

We study theoretically the exciton absorption on a ring shreded by a magnetic flux. For the case when the attraction between electron and hole is short-ranged we get an exact solution of the problem.… (More)

- C T Shih, Stephan Roche, Rudolf A. Römer
- Physical review letters
- 2008

We report on a theoretical study of point mutations effects on charge transfer properties in the DNA sequence of the tumor-suppressor p53 gene. On the basis of effective tight-binding models which… (More)

We study statistical properties of energy spectra of a tight-binding model on the twodimensional quasiperiodic Ammann-Beenker tiling. Taking into account the symmetries of finite approximants, we… (More)

- Alberto Rodríguez, Louella J. Vasquez, Rudolf A. Römer
- Physical review letters
- 2009

The probability density function (PDF) for critical wave function amplitudes is studied in the three-dimensional Anderson model. We present a formal expression between the PDF and the multifractal… (More)

- Andrea M. Fischer, Vivaldo Leiria Campo, M. E. Portnoi, Rudolf A. Römer
- Physical review letters
- 2009

We study analytically the optical properties of a simple model for an electron-hole pair on a ring subjected to perpendicular magnetic flux and in-plane electric field. We show how to tune this… (More)

- Andrew M. Goldsborough, S. Alex Rautu, Rudolf A. Römer
- Physical review. E, Statistical, nonlinear, and…
- 2015

We study the leaf-to-leaf distances on one-dimensionally ordered, full and complete m-ary tree graphs using a recursive approach. In our formulation, unlike in traditional graph theory approaches,… (More)

- J. E. Jimenez-Roldan, R. B. Freedman, Rudolf A. Römer, Stephen A. Wells
- Physical biology
- 2012

Protein function frequently involves conformational changes with large amplitude on timescales which are difficult and computationally expensive to access using molecular dynamics. In this paper, we… (More)

We present a rigidity analysis on a large number of X-ray crystal structures of the enzyme HIV-1 protease using the ʻpebble gameʼ algorithm of the software FIRST. We find that although the rigidity… (More)