D. Addona

collaborators

3 papers

math.FA2025

Second Quantization and Evolution Operators in infinite dimension

Davide Addona, Paolo De Fazio

In an infinite dimensional separable Hilbert space $X$ , we study compactness properties and the hypercontractivity of the Ornstein-Uhlenbeck evolution operators $P_{s, t}$ in the sp…

math.PR2025

Pathwise uniqueness in infinite dimension under weak structure conditions

Davide Addona, Davide Augusto Bignamini

Let $U, H$ be two separable Hilbert spaces and $T > 0$ . We consider an SDE which evolves in the Hilbert space $H$ of the form \begin{align} dX(t)=AX(t)dt+\widetilde{\mathscr L}B(X(t))…

math.PR2025

Weak uniqueness for stochastic partial differential equations in Hilbert spaces

Davide Addona, Davide Augusto Bignamini

Let $U, H$ be two separable Hilbert spaces. The main goal of this paper is to study the weak uniqueness of the Stochastic Differential Equation evolving in $H$ \begin{align*} dX(t)=…