Weaves, webs and flows
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F24%3A00597140" target="_blank" >RIV/67985556:_____/24:00597140 - isvavai.cz</a>
Result on the web
<a href="https://projecteuclid.org/journals/electronic-journal-of-probability/volume-29/issue-none/Weaves-webs-and-flows/10.1214/24-EJP1161.full" target="_blank" >https://projecteuclid.org/journals/electronic-journal-of-probability/volume-29/issue-none/Weaves-webs-and-flows/10.1214/24-EJP1161.full</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1214/24-EJP1161" target="_blank" >10.1214/24-EJP1161</a>
Alternative languages
Result language
angličtina
Original language name
Weaves, webs and flows
Original language description
We introduce weaves, which are random sets of non-crossing càdlàg paths that cover space-time R × R. The Brownian web is one example of a weave, but a key feature of our work is that we do not assume that the particle motions have any particular distribution. Rather, we present a general theory of the structure, characterization and weak convergence of weaves. We show that the space of weaves has an appealing geometry, involving a partition into equivalence classes under which each equivalence class contains a pair of distinguished objects known as a web and a flow. Webs are natural generalizations of the Brownian web and the flows provide pathwise representations of stochastic flows. Moreover, there is a natural partial order on the space of weaves, characterizing the efficiency with which paths cover space-time, under which webs are precisely minimal weaves and flows are precisely maximal weaves. This structure is key to establishing weak convergence criteria for general weaves, based on weak convergence of finite collections of particle motions.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
<a href="/en/project/GA22-12790S" target="_blank" >GA22-12790S: Stochastic systems in infinite dimensions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Electronic Journal of Probability
ISSN
1083-6489
e-ISSN
1083-6489
Volume of the periodical
29
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
82
Pages from-to
1-82
UT code for WoS article
001267278400001
EID of the result in the Scopus database
2-s2.0-85199786976