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Pregled bibliografske jedinice broj: 851452

Time-like graphical models


Tadić, Tvrtko
Time-like graphical models, Providence, RI: American Mathematical Society, 2019 (monografija) doi:10.1090/memo/1262


CROSBI ID: 851452 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Time-like graphical models

Autori
Tadić, Tvrtko

Vrsta, podvrsta i kategorija knjige
Autorske knjige, monografija, znanstvena

Izdavač
American Mathematical Society

Grad
Providence, RI

Godina
2019

Stranica
174

ISBN
978-1-4704-3685-8

ISSN
0065-9266

Ključne riječi
Stochastic processes indexed by graphs ; graphical models ; time-like graphs ; martingales indexed by directed sets ; stochastic heat equation

Sažetak
We study continuous processes indexed by a special family of graphs. Processes indexed by vertices of graphs are known as probabilistic graphical models. In 2011, Burdzy and Pal proposed a continuous version of graphical models indexed by graphs with an embedded time structure – so called time-like graphs. We extend the notion of time-like graphs and find properties of processes indexed by them. In particular, we solve the conjecture of uniqueness of the distribution for the process indexed by graphs with infinite number of vertices. We provide a new result showing the stochastic heat equation as a limit of the sequence of natural Brownian motions on time-like graphs. In addition, our treatment of time-like graphical models reveals connections to Markov random fields, martingales indexed by directed sets and branching Markov processes.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
MZOS-037-0372790-2799 - Analiza i vjerojatnost (Šikić, Hrvoje, MZOS ) ( POIROT)
HRZZ-IP-2013-11-3526 - Stohastičke metode u analitičkim i primijenjenim problemima (SMAAP) (Vondraček, Zoran, HRZZ - 2013-11) ( POIROT)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Tvrtko Tadić (autor)

Poveznice na cjeloviti tekst rada:

doi arxiv.org www.ams.org bookstore.ams.org www.ams.org

Citiraj ovu publikaciju:

Tadić, Tvrtko
Time-like graphical models, Providence, RI: American Mathematical Society, 2019 (monografija) doi:10.1090/memo/1262
Tadić, T. (2019) Time-like graphical models. Providence, RI, American Mathematical Society doi:10.1090/memo/1262.
@book{book, author = {Tadi\'{c}, T.}, year = {2019}, pages = {174}, DOI = {10.1090/memo/1262}, keywords = {Stochastic processes indexed by graphs, graphical models, time-like graphs, martingales indexed by directed sets, stochastic heat equation}, doi = {10.1090/memo/1262}, isbn = {978-1-4704-3685-8}, issn = {0065-9266}, title = {Time-like graphical models}, keyword = {Stochastic processes indexed by graphs, graphical models, time-like graphs, martingales indexed by directed sets, stochastic heat equation}, publisher = {American Mathematical Society}, publisherplace = {Providence, RI} }
@book{book, author = {Tadi\'{c}, T.}, year = {2019}, pages = {174}, DOI = {10.1090/memo/1262}, keywords = {Stochastic processes indexed by graphs, graphical models, time-like graphs, martingales indexed by directed sets, stochastic heat equation}, doi = {10.1090/memo/1262}, isbn = {978-1-4704-3685-8}, issn = {0065-9266}, title = {Time-like graphical models}, keyword = {Stochastic processes indexed by graphs, graphical models, time-like graphs, martingales indexed by directed sets, stochastic heat equation}, publisher = {American Mathematical Society}, publisherplace = {Providence, RI} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Scopus


Citati:





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