Two sided Sand Piles Model and unimodal sequences

Thi Ha Duong Phan

RAIRO - Theoretical Informatics and Applications (2008)

  • Volume: 42, Issue: 3, page 631-646
  • ISSN: 0988-3754

Abstract

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We introduce natural generalizations of two well-known dynamical systems, the Sand Piles Model and the Brylawski's model. We describe their order structure, their reachable configuration's characterization, their fixed points and their maximal and minimal length's chains. Finally, we present an induced model generating the set of unimodal sequences which amongst other corollaries, implies that this set is equipped with a lattice structure.

How to cite

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Phan, Thi Ha Duong. "Two sided Sand Piles Model and unimodal sequences." RAIRO - Theoretical Informatics and Applications 42.3 (2008): 631-646. <http://eudml.org/doc/250335>.

@article{Phan2008,
abstract = { We introduce natural generalizations of two well-known dynamical systems, the Sand Piles Model and the Brylawski's model. We describe their order structure, their reachable configuration's characterization, their fixed points and their maximal and minimal length's chains. Finally, we present an induced model generating the set of unimodal sequences which amongst other corollaries, implies that this set is equipped with a lattice structure. },
author = {Phan, Thi Ha Duong},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Discrete dynamical system; Sand Piles Model; partition; unimodal sequence; order; lattice; dominance ordering; fixed point.; Brylawski's model},
language = {eng},
month = {6},
number = {3},
pages = {631-646},
publisher = {EDP Sciences},
title = {Two sided Sand Piles Model and unimodal sequences},
url = {http://eudml.org/doc/250335},
volume = {42},
year = {2008},
}

TY - JOUR
AU - Phan, Thi Ha Duong
TI - Two sided Sand Piles Model and unimodal sequences
JO - RAIRO - Theoretical Informatics and Applications
DA - 2008/6//
PB - EDP Sciences
VL - 42
IS - 3
SP - 631
EP - 646
AB - We introduce natural generalizations of two well-known dynamical systems, the Sand Piles Model and the Brylawski's model. We describe their order structure, their reachable configuration's characterization, their fixed points and their maximal and minimal length's chains. Finally, we present an induced model generating the set of unimodal sequences which amongst other corollaries, implies that this set is equipped with a lattice structure.
LA - eng
KW - Discrete dynamical system; Sand Piles Model; partition; unimodal sequence; order; lattice; dominance ordering; fixed point.; Brylawski's model
UR - http://eudml.org/doc/250335
ER -

References

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