References of "Electronic Journal of Probability"
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See detailConcentration bounds for geometric Poisson functionals: logarithmic Sobolev inequalities revisited
Peccati, Giovanni UL; Bachmann, Sascha

in Electronic Journal of Probability (in press)

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See detailPhase singularities in complex arithmetic random waves
Dalmao, Federico; Nourdin, Ivan UL; Peccati, Giovanni UL et al

in Electronic Journal of Probability (2019), 24(71), 1-45

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See detailQuantitative CLTs for symmetric U-statistics using contractions
Döbler, Christian UL; Peccati, Giovanni UL

in Electronic Journal of Probability (2019)

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See detailEvolution systems of measures and semigroup properties on evolving manifolds
Cheng, Li Juan UL; Thalmaier, Anton UL

in Electronic Journal of Probability (2018), 23(20), 1-27

An evolving Riemannian manifold (M,g_t)_{t\in I} consists of a smooth d-dimensional manifold M, equipped with a geometric flow g_t of complete Riemannian metrics, parametrized by I=(-\infty,T). Given an ... [more ▼]

An evolving Riemannian manifold (M,g_t)_{t\in I} consists of a smooth d-dimensional manifold M, equipped with a geometric flow g_t of complete Riemannian metrics, parametrized by I=(-\infty,T). Given an additional C^{1,1} family of vector fields (Z_t)_{t\in I} on M. We study the family of operators L_t=\Delta_t +Z_t where \Delta_t denotes the Laplacian with respect to the metric g_t. We first give sufficient conditions, in terms of space-time Lyapunov functions, for non-explosion of the diffusion generated by L_t, and for existence of evolution systems of probability measures associated to it. Coupling methods are used to establish uniqueness of the evolution systems under suitable curvature conditions. Adopting such a unique system of probability measures as reference measures, we characterize supercontractivity, hypercontractivity and ultraboundedness of the corresponding time-inhomogeneous semigroup. To this end, gradient estimates and a family of (super-)logarithmic Sobolev inequalities are established. [less ▲]

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See detailRecurrence and Transience of Frogs with Drift on Z^d
Döbler, Christian UL; Gantert, Nina; Höfelsauer, Thomas et al

in Electronic Journal of Probability (2018)

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See detailFourth moment theorems on The Poisson space in any dimension
Döbler, Christian UL; Vidotto, Anna UL; Zheng, Guangqu UL

in Electronic Journal of Probability (2018)

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See detailQuantitative de Jong theorems in any dimension
Döbler, Christian UL; Peccati, Giovanni UL

in Electronic Journal of Probability (2017), 22

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See detailAn iterative technique for bounding derivatives of solutions of Stein equations
Döbler, Christian UL; Gaunt, Robert E.; Vollmer, Sebastian J.

in Electronic Journal of Probability (2017), 22

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See detailStein's method of exchangeable pairs for the Beta distribution and generalizations
Döbler, Christian UL

in Electronic Journal of Probability (2015)

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See detailPortmanteau inequalities on the Poisson space: mixed regimes and multidimensional clustering
Borguin, Solesne; Peccati, Giovanni UL

in Electronic Journal of Probability (2014), 19(Paper 66),

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See detailW1,+-interpolation of probability measures on graphs
Hillion, Erwan UL

in Electronic Journal of Probability (2014), 19

We generalize an equation introduced by Benamou and Brenier and characterizing Wasserstein Wp-geodesics for p > 1, from the continuous setting of probability distributions on a Riemannian manifold to the ... [more ▼]

We generalize an equation introduced by Benamou and Brenier and characterizing Wasserstein Wp-geodesics for p > 1, from the continuous setting of probability distributions on a Riemannian manifold to the discrete setting of probability distributions on a general graph. Given an initial and a nal distributions (f_0(x)), (f_1(x)), we prove the existence of a curve (f_t(x)) satisfying this Benamou-Brenier equation. We also show that such a curve can be described as a mixture of binomial distributions with respect to a coupling that is solution of a certain optimization problem. [less ▲]

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See detailStochastic flows on metric graphs
Hajri, Hatem UL; Raimond, Olivier

in Electronic Journal of Probability (2014)

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See detailAn Itô's type formula for the fractional Brownian motion in Brownian time
Nourdin, Ivan UL; Zeineddine, Raghid

in Electronic Journal of Probability (2014), 19(99), 1-15

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See detailAbsolute continuity and convergence of densities for random vectors on Wiener chaos
Nourdin, Ivan UL; Nualart, David; Poly, Guillaume Joseph UL et al

in Electronic Journal of Probability (2013), 18(22), 1--19

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See detailFine Gaussian fluctuations on the Poisson space, I: contractions, cumulants and geometric random graphs
Lachièze-Rey, Raphaël; Peccati, Giovanni UL

in Electronic Journal of Probability (2013), 18

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See detailStochastic flows related to Walsh Brownian motion
Hajri, Hatem UL

in Electronic Journal of Probability (2011)

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See detailStein's method and the multivariate CLT for traces of powers on the classical compact groups
Döbler, Christian UL; Stolz, Michael

in Electronic Journal of Probability (2011)

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See detailThe weak Stratonovich integral with respect to fractional Brownian motion with Hurst parameter H=1/6
Nourdin, Ivan UL; Réveillac, Anthony; Swanson, Jason

in Electronic Journal of Probability (2010), 15

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See detailMulti-dimensional Gaussian fluctuations on the Poisson space
Peccati, Giovanni UL; Zheng, Cengbo

in Electronic Journal of Probability (2010), 15

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See detailStein's method and stochastic analysis of Rademacher functionals
Nourdin, Ivan UL; Peccati, Giovanni UL; Reinert, Gesine

in Electronic Journal of Probability (2010), 15

Detailed reference viewed: 120 (2 UL)