# Two sided Sand Piles Model and unimodal sequences

RAIRO - Theoretical Informatics and Applications (2008)

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

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topPhan, 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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