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Fractional Brownian Density Process and Its Self-Intersection Local Time of Order k
Springer Science and Business Media LLC - Tập 17 - Trang 717-739 - 2004
T. Bojdecki, L. G. Gorostiza, A. Talarczyk
The fractional Brownian density process is a continuous centered Gaussian $$S$$ ′(ℝ d )-valued process which arises as a high-density fluctuation limit of a Poisson system of independent d-dimensional fractional Brownian motions with Hurst parameter H. ( ...... hiện toàn bộ
Existence and Uniqueness of Invariant Measures for SPDEs with Two Reflecting Walls
Springer Science and Business Media LLC - Tập 27 - Trang 863-877 - 2012
Juan Yang, Tusheng Zhang
In this article, we study stochastic partial differential equations with two reflecting walls h 1 and h 2, driven by space-time white noise with non-constant diffusion coefficients under periodic boundary conditions. The existence and uniqueness of invariant measures is established under appropriate conditions. The strong Feller property is also obtained.
On the Normalized Laplacian Spectra of Random Geometric Graphs
Springer Science and Business Media LLC - Tập 36 - Trang 46-77 - 2022
Mounia Hamidouche, Laura Cottatellucci, Konstantin Avrachenkov
In this work, we study the spectrum of the normalized Laplacian and its regularized version for random geometric graphs (RGGs) in various scaling regimes. Two scaling regimes are of special interest, the connectivity and the thermodynamic regime. In the connectivity regime, the average vertex degree grows logarithmically in the graph size or faster. In the thermodynamic regime, the average vertex ...... hiện toàn bộ
Approximations of McKean–Vlasov Stochastic Differential Equations with Irregular Coefficients
Springer Science and Business Media LLC - Tập 35 Số 2 - Trang 1187-1215 - 2022
Jianhai Bao, Xing Huang
The multifractal spectrum of statistically self-similar measures
Springer Science and Business Media LLC - Tập 7 Số 3 - Trang 681-702 - 1994
K. J. Falconer
The Length of the Longest Increasing Subsequence of a Random Mallows Permutation
Springer Science and Business Media LLC - Tập 26 - Trang 514-540 - 2011
Carl Mueller, Shannon Starr
The Mallows measure on the symmetric group S n is the probability measure such that each permutation has probability proportional to q raised to the power of the number of inversions, where q is a positive parameter and the number of inversions of π is equal to the number of pairs i... hiện toàn bộ
Regularized Divergences Between Covariance Operators and Gaussian Measures on Hilbert Spaces
Springer Science and Business Media LLC - - 2020
Hà Quang Minh
This work presents an infinite-dimensional generalization of the correspondence between the Kullback–Leibler and Rényi divergences between Gaussian measures on Euclidean space and the Alpha Log-Determinant divergences between symmetric, positive definite matrices. Specifically, we present the regularized Kullback–Leibler and Rényi divergences between covariance operators and Gaussian measures on a...... hiện toàn bộ
Sublinear Variance for Directed Last-Passage Percolation
Springer Science and Business Media LLC - Tập 25 - Trang 687-702 - 2010
B. T. Graham
A range of first-passage percolation type models are believed to demonstrate the related properties of sublinear variance and superdiffusivity. We show that directed last-passage percolation with Gaussian vertex weights has a sublinear variance property. We also consider other vertex weight distributions. Corresponding results are obtained for the ground state of the “directed polymers in a random...... hiện toàn bộ
A new class of libraries
Springer Science and Business Media LLC - Tập 5 - Trang 431-445 - 1992
Anna Kowalska
In this paper we give the stationary measure and a sufficient condition of positive recurrence for a new class of linear libraries. These libraries are built by juxtaposing McCabe's libraries and Tsetlins libraries in an appropriate way: Their policy τ is not classical, by the fact that instead of a circular permutation, τ1 can be the product of several disjoint circular permutations.
Stable Convergence of Multiple Wiener-Itô Integrals
Springer Science and Business Media LLC - Tập 21 - Trang 527-570 - 2008
Giovanni Peccati, Murad S. Taqqu
We prove sufficient conditions ensuring that a sequence of multiple Wiener-Itô integrals (with respect to a general Gaussian process) converges stably to a mixture of normal distributions. Note that stable convergence is stronger than convergence in distribution. Our key tool is an asymptotic decomposition of contraction kernels, realized by means of increasing families of projection operators. We...... hiện toàn bộ
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