Results 41 to 50 of about 2,820 (52)

Edge Statistics for Lozenge Tilings of Polygons, II: Airy Line Ensemble

Forum of Mathematics, Pi
We consider uniformly random lozenge tilings of simply connected polygons subject to a technical assumption on their limit shape. We show that the edge statistics around any point on the arctic boundary, that is not a cusp or tangency location, converge ...
Amol Aggarwal, Jiaoyang Huang
doaj   +1 more source

Asymptotic expansion of $\beta $ matrix models in the multi-cut regime

Forum of Mathematics, Sigma
We establish the asymptotic expansion in $\beta $ matrix models with a confining, off-critical potential in the regime where the support of the equilibrium measure is a finite union of segments.
Gaëtan Borot, Alice Guionnet
doaj   +1 more source

Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT

Forum of Mathematics, Sigma
We show that the measure of maximal entropy of every complex Hénon map is exponentially mixing of all orders for Hölder observables. As a consequence, the Central Limit Theorem holds for all Hölder observables.
Fabrizio Bianchi, Tien-Cuong Dinh
doaj   +1 more source

Zero bias transformation and asymptotic expansions II : the Poisson case [PDF]

, 2009
We apply a discrete version of the methodology in \cite{gauss} to obtain a recursive asymptotic expansion for $\esp[h(W)]$ in terms of Poisson expectations, where $W$ is a sum of independent integer-valued random variables and $h$ is a polynomially ...
Jiao, Ying
core   +4 more sources

Central Limit Theorems For Local Emprical Processes Near Boundaries of Sets [PDF]

AMS 2000 subject classifications. 60F05, 60F17, 60G55, 62G30.
Einmahl, J.H.J., Khmaladze, E.V.
core   +1 more source

Estimating Extreme Bivariate Quantile Regions [PDF]

AMS 2000 subject classifications. Primary 62G32, 62G05; secondary 60G70, 60F05.
Einmahl, J.H.J., Haan, L.F.M. de, Krajina, A.   +2 more
core   +1 more source

General Weak Laws of Large Numbers for Bootstrap Sample Means [PDF]

AMS classifications: 60F05, 62G09; 62G20.Bootstrap sample mean;weak law of large numbers;convergence in probability;almost certain ...
Einmahl, J.H.J., Rosalsky, A.
core   +1 more source

Rate of convergence to alpha stable law using Zolotarev distance : technical report

, 2017
This paper considers the question of the rate of convergence to ${\alpha}$- stable laws, using arguments based on the Zolotarev distance to prove bounds.
Manou-Abi, Solym Mawaki
core  

Estimates for the closeness of convolutions of probability distributions on convex polyhedra

, 2018
The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent summands by the accompanying compound Poisson laws and the estimates of the proximity of sequential convolutions of ...
Götze, Friedrich, Zaitsev, Andrei Yu.
core  

Limit theory for planar Gilbert tessellations

, 2010
A Gilbert tessellation arises by letting linear segments (cracks) in the plane unfold in time with constant speed, starting from a homogeneous Poisson point process of germs in randomly chosen directions.
Schreiber, Tomasz, Soja, Natalia
core