# Limit theorems for singular Skorohod integrals

## TL;DR

This paper establishes limit theorems for sequences of Itô and Skorohod integrals with singular asymptotic integrands, extending previous examples to broader classes of stochastic convolutions.

## Contribution

It introduces new limit theorems for singular Skorohod integrals, generalizing earlier specific cases like the Peccati-Yor example.

## Key findings

- Proves convergence in distribution for sequences of singular integrals.
- Includes stochastic convolutions as a special case.
- Extends classical results to more general integrand behaviors.

## Abstract

In this paper we prove the convergence in distribution of sequences of It\^o and Skorohod integrals with integrands having singular asymptotic behavior. These sequences include stochastic convolutions and generalize the example $\sqrt n\int _0^1 t^n B_tdB_t$ first studied by Peccati and Yor in 2004.