Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Edward Crane"'
The Salton Sea Trough has a range of geothermal features, including mud volcanoes, pots, and seeps that express fluids at temperatures ranging from ambient to 65 to 100 C. The features produce 99% CO2/0.5% CH4 gas of a thermogenic origin and contain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e646c8e6cc04b5e021b9c314f1bb2737
https://doi.org/10.22541/au.168253207.76189924/v1
https://doi.org/10.22541/au.168253207.76189924/v1
Publikováno v:
Crane, E, Ledger, S & Tóth, B 2019, ' Diffusion and Superdiffusion in Lattice Models for Colliding Particles with Stored Momentum ', Journal of Statistical Physics, vol. 177, no. 6, pp. 1240-1262 . https://doi.org/10.1007/s10955-019-02419-9
We introduce two discrete models of a collection of colliding particles with stored momentum and study the asymptotic growth of the mean-square displacement of an active particle. We prove that the models are superdiffusive in one dimension (with pow
Publikováno v:
Ann. Appl. Probab. 30, no. 5 (2020), 2465-2490
We consider an infinite-server queue into which customers arrive according to a Cox process and have independent service times with a general distribution. We prove a functional large deviations principle for the equilibrium queue length process. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0cb24a2754ae774306b5dc34ffe08e1c
https://projecteuclid.org/euclid.aoap/1600157080
https://projecteuclid.org/euclid.aoap/1600157080
Publikováno v:
Crane, E, Rath, B & Yeo, D 2021, ' Age evolution in the mean field forest fire model via multitype branching processes ', Annals of Probability, vol. 49, no. 4, pp. 2031-2075 . https://doi.org/10.1214/20-AOP1501
We study the distribution of ages in the mean field forest fire model introduced by R\'ath and T\'oth. This model is an evolving random graph whose dynamics combine Erd\H{o}s-R\'enyi edge-addition with a Poisson rain of lightning strikes. All edges i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e2feebc6a14fb97a3c07c99ff42fa84
http://arxiv.org/abs/1811.07981
http://arxiv.org/abs/1811.07981
Autor:
Edward Crane
Publikováno v:
Crane, E T 2014, ' Intrinsic circle domains ', Conformal Geometry and Dynamics, vol. 18, pp. 65-84 . https://doi.org/10.1090/S1088-4173-2014-00262-8
Using quasiconformal mappings, we prove that any Riemann surface of finite connectivity and finite genus is conformally equivalent to an intrinsic circle domain U in a compact Riemann surface S. This means that each connected component B of S \ U is
Publikováno v:
Crane, E T, Stephenson, K & Ashe, J 2016, ' Circle packing with generalized branching ', Journal of Analysis, vol. 24, no. 2, pp. 251–276 . https://doi.org/10.1007/s41478-016-0020-7
There is a fairly comprehensive theory of discrete analytic functions based on circle packing. In this theory, discrete analytic functions are represented as maps between circle packings that share combinatorial tangency patterns. Branching behavior,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29883117b0816709149aaa93f098a25b
http://arxiv.org/abs/1607.03404
http://arxiv.org/abs/1607.03404
Autor:
Edward Crane
Publikováno v:
Proceedings of the American Mathematical Society. 140:2375-2382
Let R R be a simply-connected Riemann surface with a simply-connected subdomain U U . We give a criterion in terms of conformal reflections to determine whether R R can be embedded in the complex plane so that U U is mapped onto a disc. If it can, th
Autor:
Edward Crane
Publikováno v:
Bulletin of the London Mathematical Society. 39:781-791
Smale's mean value conjecture is an inequality that relates the locations of critical points and critical values of a polynomial p to the value and derivative of p at some given non-critical point. Using known estimates for the logarithmic capacity o
Publikováno v:
Electron. J. Probab.
Crane, E T, Freeman, N P & Toth, B A 2015, ' Cluster growth in the dynamical Erdös-Rényi process with forest fires ', Electronic Journal of Probability, vol. 20, 101 . https://doi.org/10.1214/EJP.v20-4035
Crane, E T, Freeman, N P & Toth, B A 2015, ' Cluster growth in the dynamical Erdös-Rényi process with forest fires ', Electronic Journal of Probability, vol. 20, 101 . https://doi.org/10.1214/EJP.v20-4035
We investigate the growth of clusters within the forest fire model of Ráth and Tóth [EJP, vol 14, paper no 45]. The model is a continuous-time Markov process, similar to the dynamical Erdős-Rényi random graph but with the addition of so-called fi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c68f04d4a71d49c9c900b707f9aa3d16
https://projecteuclid.org/euclid.ejp/1465067207
https://projecteuclid.org/euclid.ejp/1465067207