Stochastic flows in the Brownian web and net
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F14%3A00396636" target="_blank" >RIV/67985556:_____/14:00396636 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1090/S0065-9266-2013-00687-9" target="_blank" >http://dx.doi.org/10.1090/S0065-9266-2013-00687-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/S0065-9266-2013-00687-9" target="_blank" >10.1090/S0065-9266-2013-00687-9</a>
Alternative languages
Result language
angličtina
Original language name
Stochastic flows in the Brownian web and net
Original language description
It is known that certain one-dimensional nearest-neighbor random walks in id. random space-time environments have diffusive scaling limits. Here, in the continuum limit, the random environment is represented by a `stochastic flow of kernels', which is acollection of random kernels that can be loosely interpreted as the transition probabilities of a Markov process in a random environment. The theory of stochastic flows of kernels was first developed by Le Jan and Raimond, who showed that each such flowis characterized by its n-point motions. Our work focuses on a class of stochastic flows of kernels with Brownian n-point motions which, after their inventors, will be called Howitt-Warren flows. Our main result gives a graphical construction of generalHowitt-Warren flows, where the underlying random environment takes on the form of a suitably marked Brownian web. This extends earlier work of Howitt and Warren who showed that a special case, the so-called `erosion flow', can be construc
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Memoirs of the American Mathematical Society
ISSN
0065-9266
e-ISSN
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Volume of the periodical
227
Issue of the periodical within the volume
1065
Country of publishing house
US - UNITED STATES
Number of pages
160
Pages from-to
1-160
UT code for WoS article
000331073400001
EID of the result in the Scopus database
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