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19932026
Showing 2021 · math.PRShow all

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math.PR2021

Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds

Qin-Qian Chen, Li-Juan Cheng, Anton Thalmaier

In this article, we develop a martingale approach to localized Bismut-type Hessian formulas for heat semigroups on Riemannian manifolds. Our approach extends the Hessian formulas e…

math.PR2021★ 1 cited

The insider problem in the trinomial model: a discrete-time jump process approach

Hélène Halconruy

In an incomplete market underpinned by the trinomial model, we consider two investors : an ordinary agent whose decisions are driven by public information and an insider who posses…

math.PR2021★ 3 cited

The multivariate functional de Jong CLT

Christian Döbler, Mikołaj Kasprzak, Giovanni Peccati

We prove a multivariate functional version of de Jong's CLT (1990) yielding that, given a sequence of vectors of Hoeffding-degenerate U-statistics, the corresponding empirical proc…

math.PR2021★ 1 cited

Malliavin calculus for marked binomial processes: portfolio optimisation in the trinomial model and compound Poisson approximation

Hélène Halconruy

In this paper we develop a stochastic analysis for marked binomial processes, that can be viewed as the discrete analogues of marked Poisson processes. The starting point is the st…

math.PR2021★ 1 cited

Fractal dimensions of the Rosenblatt process

Lara Daw, George Kerchev

The paper concerns the image, level and sojourn time sets associated with sample paths of the Rosenblatt process. We obtain results regarding the Hausdorff (both classical and macr…

math.PR2021

Local scaling limits of Lévy driven fractional random fields

Vytautė Pilipauskaitė, Donatas Surgailis

We obtain a complete description of local anisotropic scaling limits for a class of fractional random fields on written as stochastic integral with respect to…