Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Edwin Perkins"'
Publikováno v:
Communications in Mathematical Physics.
We prove that the rescaled historical processes associated to critical spread-out lattice trees in dimensions$$d>8$$d>8converge to historical Brownian motion. This is a functional limit theorem for measure-valued processes that encodes the genealogic
Publikováno v:
FOCS
The multiplicative weights method is an algorithm for the problem of prediction with expert advice. It achieves the optimal regret asymptotically if the number of experts is large, and the time horizon is known in advance. Optimal algorithms are also
Publikováno v:
Ann. Probab. 48, no. 3 (2020), 1168-1201
We show that if $\partial\mathcal{R}$ is the boundary of the range of super-Brownian motion and dim denotes Hausdorff dimension, then with probability one, for any open set $U$, $U\cap\partial\mathcal{R}\neq\varnothing$ implies \[\operatorname{dim}(U
Autor:
Edwin Perkins, J. Theodore Cox
Publikováno v:
Electron. J. Probab.
We show that a space-time rescaling of the spatial Lamba-Fleming-Viot process of Barton and Etheridge converges to super-Brownian motion. This can be viewed as an extension of a result of Chetwynd-Diggle and Etheridge [5]. In that work the scaled imp
Autor:
Edwin Perkins, Thomas Hughes
Publikováno v:
Ann. Inst. H. Poincaré Probab. Statist. 55, no. 4 (2019), 2395-2422
If $X(t,x)$ is the density of one-dimensional super-Brownian motion, we prove that $\text{dim}(\partial\{x:X(t,x)>0\})=2-2\lambda_0\in(0,1)$ a.s. on $\{X_t\neq 0\}$, where $-\lambda_0\in(-1,-1/2)$ is the lead eigenvalue of a killed Ornstein-Uhlenbeck
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7917696ecd95bac2b2e81721bd907e74
https://projecteuclid.org/euclid.aihp/1573203633
https://projecteuclid.org/euclid.aihp/1573203633
Autor:
Leonid Mytnik, Edwin Perkins
We show that the Hausdorff dimension of the boundary of $d$-dimensional super-Brownian motion is $0$, if $d=1$, $4-2\sqrt2$, if $d=2$, and $(9-\sqrt{17})/2$, if $d=3$.
55 pages, 0 figures
55 pages, 0 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49f4a5c5941b4751642d513f5392a438
http://arxiv.org/abs/1711.03486
http://arxiv.org/abs/1711.03486
Publikováno v:
Ann. Probab. 45, no. 6A (2017), 3481-3534
We study the density $X(t,x)$ of one-dimensional super-Brownian motion and find the asymptotic behaviour of $P(0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e50585cf7a4b4df7d7f2850eb11b4658
https://projecteuclid.org/euclid.aop/1511773657
https://projecteuclid.org/euclid.aop/1511773657
Publikováno v:
The Annals of Probability, 45(1), 278-376. Institute of Mathematical Statistics
Ann. Probab. 45, no. 1 (2017), 278-376
Ann. Probab. 45, no. 1 (2017), 278-376
We give a sufficient condition for tightness for convergence of rescaled critical spatial structures to the canonical measure of super-Brownian motion. This condition is formulated in terms of the $r$-point functions for $r=2,\ldots,5$. The $r$-point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d47252763218aa5c8d1480d08a4a5dd8
https://research.tue.nl/nl/publications/bc415bcd-73ca-4dd8-8e85-31a79f08ef09
https://research.tue.nl/nl/publications/bc415bcd-73ca-4dd8-8e85-31a79f08ef09
Autor:
Spencer Frei, Edwin Perkins
Publikováno v:
Electron. J. Probab.
We use the connection between bond percolation and SIR epidemics to establish lower bounds for the critical percolation probability in $2$ and $3$ dimensions as the range becomes large. The bound agrees with the conjectured asymptotics for the long r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04b2f89b6270f19f70c542310bf5c184
http://arxiv.org/abs/1603.04130
http://arxiv.org/abs/1603.04130
Autor:
J. Theodore Cox, Edwin Perkins
Publikováno v:
Probability Theory and Related Fields. 139:89-142
A spatially explicit, stochastic Lotka–Volterra model was introduced by Neuhauser and Pacala in Neuhauser and Pacala (Ann. Appl. Probab. 9, 1226–1259, 1999). A low density limit theorem for this process was proved by the authors in Cox and Perkin