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Hierarchical Clustering Based on Mutual Information
Alexander Kraskov, Harald Stögbauer, Ralph G. Andrzejak +1
Motivation: Clustering is a frequently used concept in variety of bioinformatical applications. We present a new method for hierarchical clustering of data called mutual informatio…
Effective interactions between star polymers
Hsiao-Ping Hsu, Peter Grassberger
We study numerically the effective pair potential between star polymers with equal arm lengths and equal number of arms. The simulations were done for the soft core Domb-Joyce…
Scaling of Star Polymers with one to 80 Arms
Hsiao-Ping Hsu, Walter Nadler, Peter Grassberger
We present large statistics simulations of 3-dimensional star polymers with up to arms, and with up to 4000 monomers per arm for small values of . They were done for the…
Polymers Confined between Two Parallel Plane Walls
Hsiao-Ping Hsu, Peter Grassberger
Single three dimensional polymers confined to a slab, i.e. to the region between two parallel plane walls, are studied by Monte Carlo simulations. They are described by -step wa…
2-Dimensional Polymers Confined in a Strip
Hsiao-Ping Hsu, Peter Grassberger
Single two dimensional polymers confined to a strip are studied by Monte Carlo simulations. They are described by N-step self-avoiding random walks on a square lattice between two…
Are there really phase transitions in 1-d heat conduction models?
Lei Yang, Peter Grassberger
Recently, it has been claimed (O. V. Gendelman and A. V. Savin, Phys. Rev. Lett. {\bf 84}, 2381 (2000); A.V.Savin and O.V.Gendelman, arXiv: cond-mat/0204631 (2002)) that two nonlin…
Estimating Mutual Information
Alexander Kraskov, Harald Stoegbauer, Peter Grassberger
We present two classes of improved estimators for mutual information , from samples of random points distributed according to some joint probability density . In co…
Structure optimization in an off-lattice protein model
Hsiao-Ping Hsu, Vishal Mehra, Peter Grassberger
We study an off-lattice protein toy model with two species of monomers interacting through modified Lennard-Jones interactions. Low energy configurations are optimized using the pr…