Results 1 to 10 of about 1,950 (47)
Two variable higher-order central Fubini polynomials [PDF]
Journal of Inequalities and Applications, 2019 Recently, the central Fubini polynomials were introduced in connection with central factorial numbers of the second kind. In this paper, we consider two variable higher-order central Fubini polynomials as a ‘central analogue’ of two variable higher-order
Taekyun Kim +3 more
doaj +5 more sources
, 2012 These expository notes are centered around the circular law theorem, which states that the empirical spectral distribution of a nxn random matrix with i.i.d.
Bordenave, Charles, Chafai, Djalil
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Convergence of long-memory discrete $k$-th order Volterra processes [PDF]
, 2015 We obtain limit theorems for a class of nonlinear discrete-time processes $X(n)$ called the $k$-th order Volterra processes of order $k$.
Bai, Shuyang, Taqqu, Murad S.
core +2 more sources
Typical dynamics of plane rational maps with equal degrees [PDF]
, 2016 Let $f:\mathbb{CP}^2\dashrightarrow\mathbb{CP^2}$ be a rational map with algebraic and topological degrees both equal to $d\geq 2$. Little is known in general about the ergodic properties of such maps.
Diller, Jeffrey +2 more
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Multi-dimensional Gaussian fluctuations on the Poisson space [PDF]
, 2010 We study multi-dimensional normal approximations on the Poisson space by means of Malliavin calculus, Stein's method and probabilistic interpolations. Our results yield new multi-dimensional central limit theorems for multiple integrals with respect to ...
Peccati, Giovanni, Zheng, Cengbo
core +7 more sources
The dynamics of holomorphic correspondences of P^1: invariant measures and the normality set [PDF]
, 2016 This paper is motivated by Brolin's theorem. The phenomenon we wish to demonstrate is as follows: if $F$ is a holomorphic correspondence on $\mathbb{P}^1$, then (under certain conditions) $F$ admits a measure $\mu_F$ such that, for any point $z$ drawn ...
Bharali, Gautam, Sridharan, Shrihari
core +1 more source
Central limit theorems for double Poisson integrals [PDF]
, 2008 Motivated by second order asymptotic results, we characterize the convergence in law of double integrals, with respect to Poisson random measures, toward a standard Gaussian distribution.
Peccati, Giovanni, Taqqu, Murad S.
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Numerical Hermitian Yang-Mills Connections and Kahler Cone Substructure [PDF]
, 2011 We further develop the numerical algorithm for computing the gauge connection of slope-stable holomorphic vector bundles on Calabi-Yau manifolds. In particular, recent work on the generalized Donaldson algorithm is extended to bundles with Kahler cone ...
A Lukas +60 more
core +2 more sources
Geometry of spin coherent states
, 2017 Spin states of maximal projection along some direction in space are called (spin) coherent, and are, in many aspects, the "most classical" available. For any spin $s$, the spin coherent states form a 2-sphere in the projective Hilbert space $\mathbb{P ...
Chryssomalakos, Chryssomalis +2 more
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Multivariate limit theorems in the context of long-range dependence [PDF]
, 2013 We study the limit law of a vector made up of normalized sums of functions of long-range dependent stationary Gaussian series. Depending on the memory parameter of the Gaussian series and on the Hermite ranks of the functions, the resulting limit law may
Bai, Shuyang, Taqqu, Murad S.
core +3 more sources