Related papers: Rejoinder: Brownian distance covariance
Discussion on "Regression by Composition" by Farewell, Daniel, Stensrud, and Huitfeldt.
It is well known that Brownian motion enjoys several distributional invariances such as the scaling property and the time reversal. In this paper, we prove another invariance of Brownian motion that is compatible with the time reversal. The…
Originally published as a Supplemental Appendix to Adjoint Equations in Stability Analysis, Annu. Rev. Fluid Mech. 46:493-517 (2014)
This paper was removed by arXiv admin because it plagiarizes "Ding, Yong(PRC-BJN); Fan, Dashan(PRC-ANH); Pan, Yibiao(1-PITT) Weighted boundedness for a class of rough Marcinkiewicz integrals. Indiana Univ. Math. J. 48 (1999), no. 3,…
In their Rejoinder [arXiv:1105.1316v1], Levin and Pakter repeat some of the points raised in their previous Comment [arXiv:1104.0697v1] (already refuted in our first Reply [arXiv:1104.5036v1]), and present some new ones concerning our…
A classical statistical inequality is used to show that the distance covariance of two bounded random vectors is bounded from above by a simple function of the dimensionality and the bounds of the random vectors. Two special cases that…
This is a comment on "Universal Fluctuations in Correlated Systems", by Bramwell et al, Phys. Rev. Lett., 84, 3744 (2000.
We present some aspects of the so-called additive coalescence, with a focus on its connections with random trees, Brownian excursion, certain bridges with exchangeable increments, L\'evy processes, and sticky particle systems.
This paper was withdrawn by arXiv admin because it plagiarizes "Chen, Wen Gu(PRC-BIAP); Lu, Shan Zhen(PRC-BJN) The commutators of fractional integrals on Besov spaces. Acta Math. Sin. (Engl. Ser.) 20 (2004), no. 3, 405--414."
In this work, we affirm the conjecture proposed by Gabriele Fici and Filippo Mignosi at the 10th Conference on Combinatorics on Words.
Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]
Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]
Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]
Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]
Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]
Discussion of ``Breakdown and groups'' by P. L. Davies and U. Gather [math.ST/0508497]
We present several recent developments on ELSV-type formulae and topological recursion concerning Chiodo classes and several kind of Hurwitz numbers. The main results appeared in D. Lewanski, A. Popolitov, S. Shadrin, D. Zvonkine, "Chiodo…
Comment on ``Gibbs Sampling, Exponential Families and Orthogonal Polynomials'' [arXiv:0808.3852]
Motivated by an approximation problem from mathematical finance, we analyse the stability of the boundary crossing probability for the multivariate Brownian motion process, with respect to small changes of the boundary. Under broad…
For refracted skew Brownian motion (skew Brownian motion with two-valued drift), adopting a perturbation approach we find expressions of its potential densities. As applications, we recover its transition density and study its long-time…