Conference proceeding
Expected values of statistics on permutation tableaux
Discrete Mathematics and Theoretical Computer Science, v DMTCS Proceedings vol. AH, 2007 Conference on Analysis of Algorithms (AofA 07)(Proceedings), pp 359-376
01 Jan 2007
Abstract
Permutation tableaux are new objects that were introduced by Postnikov in the context of enumeration of the totally positive Grassmannian cells. They are known to be in bijection with permutations and recently, they have been connected to PASEP model used in statistical physics. Properties of permutation tableaux became a focus of a considerable research activity. In this paper we study properties of basic statistics defined on permutation tableaux. We present a simple and unified approach based on probabilistic techniques and use it to compute the expected values of basic statistics defined on permutation tableaux. We also provide a non―bijective and very simple proof that there are n! permutation tableaux of length n.
Metrics
13 Record Views
Details
- Title
- Expected values of statistics on permutation tableaux
- Creators
- Sylvie Corteel - Laboratoire de Recherche en InformatiquePawel Hitczenko - Laboratoire de Recherche en Informatique
- Publication Details
- Discrete Mathematics and Theoretical Computer Science, v DMTCS Proceedings vol. AH, 2007 Conference on Analysis of Algorithms (AofA 07)(Proceedings), pp 359-376
- Conference
- 2007 Conference on Analysis of Algorithms, AofA 07 (2007)
- Series
- DMTCS Proceedings
- Publisher
- DMTCS
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991020531820104721