| bibtype |
M -
Monography Chapter
|
| ARLID |
0534685 |
| utime |
20240103224744.5 |
| mtime |
20201119235959.9 |
| ISBN |
978-981-12-0608-5 |
| ISBN |
978-981-12-0610-8 |
| ISSN |
1793-0758 |
| DOI |
10.1142/9789811206092_0003 |
| title
(primary) (eng) |
The Algebraic Approach to Duality: An Introduction |
| publisher |
| place |
New Jersey |
| name |
Hackensack: World Scientific |
| pub_time |
2020 |
|
| specification |
| page_count |
69 s. |
| book_pages |
364 |
| media_type |
P |
|
| edition |
| name |
Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore |
| part_name |
Genealogies of Interacting Particle Systems |
| volume_id |
38 |
|
| serial |
| ARLID |
cav_un_epca*0535088 |
| ISBN |
978-981-120-608-5 |
| title
|
Genealogies of Interacting Particle Systems |
| page_num |
81-150 |
| publisher |
| place |
Singapure |
| name |
World Scientific |
| year |
2020 |
|
|
| keyword |
interacting particle system |
| keyword |
duality |
| keyword |
intertwining |
| keyword |
representations of Lie algebras |
| author
(primary) |
| ARLID |
cav_un_auth*0244526 |
| name1 |
Sturm |
| name2 |
A. |
| country |
DE |
| share |
33 |
|
| author
|
| ARLID |
cav_un_auth*0217893 |
| name1 |
Swart |
| name2 |
Jan M. |
| institution |
UTIA-B |
| full_dept (cz) |
Stochastická informatika |
| full_dept |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department |
SI |
| full_dept |
Department of Stochastic Informatics |
| country |
CZ |
| share |
33 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0399597 |
| name1 |
Völlering |
| name2 |
F. |
| country |
DE |
| share |
34 |
|
| source |
|
| cas_special |
| project |
| project_id |
GA16-15238S |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0334217 |
|
| abstract
(eng) |
This survey article gives an elementary introduction to the algebraic approach to Markov process duality, as opposed to the pathwise ap- proach. In the algebraic approach, a Markov generator is written as the sum of products of simpler operators, which each have a dual with respect to some duality function. We discuss at length the recent sug- gestion by Giardinà, Redig, and others, that it may be a good idea to choose these simpler operators in such a way that they form an irreducible representation of some known Lie algebra. In particular, we collect the necessary background on representations of Lie algebras that is crucial for this approach. We also discuss older work by Lloyd and Sudbury on duality functions of product form and the relation between intertwining and duality. |
| action |
| ARLID |
cav_un_auth*0399598 |
| name |
Genealogies of Interacting Particle Systems |
| dates |
20170717 |
| mrcbC20-s |
20170818 |
| place |
Singapore |
| country |
SG |
|
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10103 |
| reportyear |
2021 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0313197 |
| confidential |
S |
| arlyear |
2020 |
| mrcbU02 |
M |
| mrcbU10 |
2020 |
| mrcbU10 |
New Jersey Hackensack: World Scientific |
| mrcbU12 |
978-981-12-0608-5 978-981-12-0610-8 |
| mrcbU14 |
SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
WOS |
| mrcbU63 |
cav_un_epca*0535088 Genealogies of Interacting Particle Systems 978-981-120-608-5 81 150 Singapure World Scientific 2020 Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore 38 |
|