Results 31 to 40 of about 489,074 (284)
The height of random binary unlabelled trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 This extended abstract is dedicated to the analysis of the height of non-plane unlabelled rooted binary trees. The height of such a tree chosen uniformly among those of size $n$ is proved to have a limiting theta distribution, both in a central and local
Nicolas Broutin, Philippe Flajolet
doaj +1 more source
Local Central Limit Theorems in Stochastic Geometry [PDF]
Electronic Journal of Probability, 2011 We give a general local central limit theorem for the sum of two independent random variables, one of which satisfies a central limit theorem while the other satisfies a local central limit theorem with the same order variance. We apply this result to various quantities arising in stochastic geometry, including: size of the largest component for ...
Penrose, Mathew, Peres, Yuval
openaire +4 more sources
On the recurrence set of planar Markov Random Walks [PDF]
, 2012 In this paper, we investigate the properties of recurrent planar Markov random walks. More precisely, we study the set of recurrent points with the use of local limit theorems.
Françoise Pène +3 more
core +4 more sources
Local distributions of multiplicative functions
Lietuvos Matematikos Rinkinys, 1999 In the present paper the local distribution laws of values of multiplicative arithmetic functions g : G → R defined on arithmetical semigroups G and belonging to the class M(G) is considered.
Rimantas Skrabutėnas
doaj +3 more sources
Local limit theorem for coefficients of modified Borwein’s algorithm, proved by the ratio method
Lietuvos Matematikos Rinkinys, 2019 The paper continues the research of the modified Borwein method for the evaluation of the Riemann zeta-function. It provides a different perspective on the derivation of the local limit theorem for coefficients of the method.
Igoris Belovas
doaj +1 more source
Isotropic random walks on affine buildings [PDF]
, 2005 In this paper we apply techniques of spherical harmonic analysis to prove a local limit theorem, a rate of escape theorem, and a central limit theorem for isotropic random walks on arbitrary thick regular affine buildings of irreducible type.Comment: To ...
Parkinson, James
core +3 more sources
Journal of Inequalities and Applications, 2019 The almost sure local central limit theorem is a general result which contains the almost sure global central limit theorem. Let {Xk,k≥1} $\{X_{k},k\geq 1\}$ be a strictly stationary negatively associated sequence of positive random variables.
Feng Xu, Binhui Wang, Yawen Hou
doaj +1 more source
A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
International Journal of Adaptive Control and Signal Processing, EarlyView.Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
wiley +1 more source
The Width of Galton-Watson Trees Conditioned by the Size [PDF]
Discrete Mathematics & Theoretical Computer Science, 2004 It is proved that the moments of the width of Galton-Watson trees of size n and with offspring variance σ ^2 are asymptotically given by (σ √n)^pm_p where m_p are the moments of the maximum of the local time of a standard scaled Brownian excursion.
Michael Drmota, Bernhard Gittenberger
doaj +3 more sources
Local limit theorems without assuming finite third moment
Journal of Inequalities and Applications, 2023 One of the most fundamental probabilities is the probability at a particular point. The local limit theorem is the well-known theorem that estimates this probability.
Punyapat Kammoo +2 more
doaj +1 more source