Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Nicos Georgiou"'
We study three non-equivalent queueing models in continuous time that each generalise the classical M/M/1 queue in a different way. Inter-event times in all models are Mittag-Leffler distributed, which is a heavy tail distribution with no moments. Fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b18b690f614ff224fe33fae6c149d11
http://arxiv.org/abs/2211.13127
http://arxiv.org/abs/2211.13127
We discuss various limits of a simple random exchange model that can be used for the distribution of wealth. We start from a discrete state space - discrete time version of this model and, under suitable scaling, we show its functional convergence to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c84004e1154b5048b029f22ea1d98a78
http://wrap.warwick.ac.uk/164143/7/WRAP-Continuum-and-thermodynamic-limits-for-a-simple-random-exchange-model-During-2022.pdf
http://wrap.warwick.ac.uk/164143/7/WRAP-Continuum-and-thermodynamic-limits-for-a-simple-random-exchange-model-During-2022.pdf
Autor:
Nicos Georgiou, Federico Ciech
Publikováno v:
Journal of Statistical Physics. 176:591-638
We discuss the order of the variance on a lattice analogue of the Hammersley process with boundaries, for which the environment on each site has independent, Bernoulli distributed values. The last passage time is the maximum number of Bernoulli point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::734e2c692e35cf2d4c57c773e4a05185
https://doi.org/10.1007/s10955-019-02314-3
https://doi.org/10.1007/s10955-019-02314-3
We study the totally asymmetric simple exclusion process (TASEP) on trees where particles are generated at the root. Particles can only jump away from the root, and they jump from $x$ to $y$ at rate $r_{x,y}$ provided $y$ is empty. Starting from the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7c404f744ae80a8dd89af905626b7e2
https://mediatum.ub.tum.de/1662242
https://mediatum.ub.tum.de/1662242
Publikováno v:
Complexity, Heterogeneity, and the Methods of Statistical Physics in Economics ISBN: 9789811548055
We discuss a simple random exchange model for the distribution of wealth. There are N agents, each one endowed with a fraction of the total wealth; indebtedness is not possible, so wealth fractions are positive random variables. At each step, two age
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e83438e57e6fdacdd14eae6214a5720
https://doi.org/10.1007/978-981-15-4806-2_5
https://doi.org/10.1007/978-981-15-4806-2_5
Publikováno v:
Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment ISBN: 9783030463052
Networks are widely used to model the contact structure within a population and in the resulting models of disease spread. While networks provide a high degree of realism, the analysis of the exact model is out of reach and even numerical methods fai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6426ee5791561827f77f272de8ac6b75
https://doi.org/10.1007/978-3-030-46306-9_14
https://doi.org/10.1007/978-3-030-46306-9_14
Publikováno v:
Acta Physica Polonica A. 133:1421-1432
In this paper, we provide a statistical analysis of high-resolution contact pattern data within primary and secondary schools as collected by the SocioPatterns collaboration. Students are graphically represented as nodes in a temporally evolving netw
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f4759c0952490a1db9b27de345d7f3f
https://doi.org/10.12693/aphyspola.133.1421
https://doi.org/10.12693/aphyspola.133.1421
Publikováno v:
Communications in Mathematical Physics. 346:741-779
We discuss variational formulas for the limits of certain models of motion in a random medium: namely, the limiting time constant for last-passage percolation and the limiting free energy for directed polymers. The results are valid for models in arb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e7a5af49dc5780209d2ce666c7eceaa
https://doi.org/10.1007/s00220-016-2613-z
https://doi.org/10.1007/s00220-016-2613-z
Autor:
Ciech, Federico, Nicos Georgiou
We prove a large deviation principle and give an expression for the rate function, for the last passage time in a Bernoulli environment. The model is exactly solvable and its invariant version satisfies a Burke-type property. Finally, we compute expl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91a342a7ee8075577720ab7ab47ccf1c
http://arxiv.org/abs/1810.11377
http://arxiv.org/abs/1810.11377
Autor:
Federico Ciech, Nicos Georgiou
We prove a strong law of large numbers for directed last passage times in an independent but inhomogeneous exponential environment. Rates for the exponential random variables are obtained from a discretisation of a speed function that may be disconti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af65d29c22634e9ab28936dbc9e62da5