A Survey of One-Dimensional Random Polymers |
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| Authors: | Remco van der Hofstad Wolfgang König |
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| Institution: | (1) Department of Applied Mathematics, Delft University of Technology, 2628 CD Delft, The Netherlands;(2) Department of Mathematics MA7-5, Technical University of Berlin, Straße des 17. Juni 136, 10623 Berlin, Germany |
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| Abstract: | In the last decade there has been an enormous progress in the mathematical understanding of one-dimensional polymer measures, which are path measures that suppress self-intersections. We are currently in the situation that many interesting questions have either been answered, or that essential new ideas are needed. In this survey paper, we discuss the most relevant results, open questions, and heuristics. |
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| Keywords: | weakly and strictly self-avoiding walk polymer measure large deviation law of large numbers central limit theorem lace expansion |
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