| bibtype |
J -
Journal Article
|
| ARLID |
0469224 |
| utime |
20240903170635.6 |
| mtime |
20170117235959.9 |
| SCOPUS |
85018260342 |
| WOS |
000430374200006 |
| title
(primary) (eng) |
The limiting shape of a full mailbox |
| specification |
| page_count |
14 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0378059 |
| ISSN |
1980-0436 |
| title
|
Alea (Rio de Janeiro) |
| volume_id |
13 |
| volume |
2 (2016) |
| page_num |
1151-1164 |
| publisher |
| name |
Instituto Nacional de Matematica Pura e Aplicada (I M P A) |
|
|
| keyword |
Self-organized criticality |
| keyword |
Gabrielli and Caldarelli queueing model |
| keyword |
Barabasi queueing model |
| keyword |
email communication |
| author
(primary) |
| ARLID |
cav_un_auth*0316935 |
| share |
50 |
| name1 |
Formentin |
| name2 |
Marco |
| institution |
UTIA-B |
| full_dept (cz) |
Stochastická informatika |
| full_dept (eng) |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department (eng) |
SI |
| full_dept |
Department of Stochastic Informatics |
| country |
IT |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0217893 |
| share |
50 |
| 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 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0291241 |
| project_id |
GAP201/12/2613 |
| agency |
GA ČR |
|
| abstract
(eng) |
We study a model for email communication due to Gabrielli and Caldarelli, where someone receives and answers emails at the times of independent Poisson processes with intensities λin > λout . The receiver assigns i.i.d. priorities to incoming emails according to some atomless law and always answers the email in the mailbox with the highest priority. Since the frequency of incoming emails is higher than the frequency of answering, below a critical priority, the mailbox fills up ad infinitum. We prove a theorem about the limiting shape of the mailbox just above the critical point, linking it to the convex hull of Brownian motion. We con- jecture that this limiting shape is universal in a class of similar models, including a model for the evolution of an order book due to Stigler and Luckock. |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2017 |
| num_of_auth |
2 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0268911 |
| confidential |
S |
| mrcbC83 |
RIV/67985556:_____/16:00469224!RIV17-AV0-67985556 191870799 Doplnění UT WOS |
| mrcbC83 |
RIV/67985556:_____/16:00469224!RIV17-GA0-67985556 191876831 Doplnění UT WOS |
| mrcbC86 |
2 Article Statistics Probability |
| mrcbT16-e |
STATISTICSPROBABILITY |
| mrcbT16-j |
0.717 |
| mrcbT16-s |
1.053 |
| mrcbT16-4 |
Q2 |
| mrcbT16-B |
48.171 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q2 |
| arlyear |
2016 |
| mrcbU14 |
85018260342 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000430374200006 WOS |
| mrcbU63 |
cav_un_epca*0378059 Alea (Rio de Janeiro) 1980-0436 Roč. 13 č. 2 2016 1151 1164 Instituto Nacional de Matematica Pura e Aplicada (I M P A) |
|