# Taylor expansions for random-walk polymers

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Revision as of 21:47, 5 October 2009 by Fritz (Talk | contribs) (New page: Original entry by Joerg Fritz, AP225 Fall 2009 == Keywords == Random walk, Taylor expansion, Symmetry, Dimensionality == Outline == This entry investigates a small asp...)

Original entry by Joerg Fritz, AP225 Fall 2009

## Contents

## Keywords

Random walk, Taylor expansion, Symmetry, Dimensionality

## Outline

This entry investigates a small aspect of the very elegant derivation for the scaling of end-to-end distance as described in detail here. We specifically ask the following question: Can we predict the probability <math>p(n,\vec{r}-\vec{r_1})</math> that a polymer with n segments has a vector <math>\vec{r_1}</math> connecting its two ends, if <math>\vec{r_1}</math> is close to <math>\vec{r}</math> and we know the probability for <math>\vec{r}</math>, that is <math>p(n,\vec{r})</math> and its spacial derivatives? Even more specifically, if <math>p(n,\vec{r})</math>