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7 papers · 2 filters
Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows
Li-Juan Cheng, Anton Thalmaier
Let be a differentiable manifold endowed with a family of complete Riemannian metrics evolving under a geometric flow over the time interval . In this article, we…
Power variations for fractional type infinitely divisible random fields
Andreas Basse-O'Connor, Vytautė Pilipauskaitė, Mark Podolskij
This paper presents new limit theorems for power variation of fractional type symmetric infinitely divisible random fields. More specifically, the random field $X = (X(\boldsymbol{…
Spatial stationarity, ergodicity and CLT for parabolic Anderson model with delta initial condition in dimension
Davar Khoshnevisan, David Nualart, Fei Pu
Suppose that is the solution to a -dimensional parabolic Anderson model with delta initial condition and driven by a Gaussian noise tha…
Stein's method of exchangeable pairs in multivariate functional approximations
Christian Döbler, Mikołaj J. Kasprzak
In this paper we develop a framework for multivariate functional approximation by a suitable Gaussian process via an exchangeable pairs coupling that satisfies a suitable approxima…
Transport inequalities for random point measures
Nathael Gozlan, Ronan Herry, Giovanni Peccati
We derive transport-entropy inequalities for mixed binomial point processes, and for Poisson point processes. We show that when the finite intensity measure satisfies a Talagrand t…
Approximation of Riemannian measures by Stein's method
James Thompson
In this article, we present the theoretical basis for an approach to Stein's method for probability distributions on Riemannian manifolds. Using a semigroup representation for the…