A. Trofimova

activity

20242026

collaborators

4 papers

math.DS2026

Probabilistic Analysis of the Random Spectral Radius for a Matrix Family

Francesco Paolo Maiale, Anastasiia Trofimova, Nicola Guglielmi

We investigate joint spectral characteristics of a family of matrices $F$ , associated with products in the semigroup generated by $F$ . In the literature, extrema…

math.NA2025

Approximation bounds for norm constrained deep neural networks

Francesco Paolo Maiale, Anastasiia Trofimova, Arturo De Marinis

This paper studies the approximation capacity of neural networks with an arbitrary activation function and with norm constraint on the weights. Upper and lower bounds on the approx…

cond-mat.stat-mech2025

Scaling Properties of Current Fluctuations in Periodic TASEP

Anastasiia Trofimova, Lu Xu

We study current fluctuations in the Totally Asymmetric Simple Exclusion Process (TASEP) on a ring with $N$ sites and $p$ particles. By introducing a deformation parameter $I^^{3}$ , we…

math-ph2024

Exact loop densities in $O (1)$ dense loop model on the cylinder of odd circumference and clusters in half-turn self-dual critical percolation

A. M. Povolotsky, A. A. Trofimova

We consider $O (1)$ dense loop model in a square lattice wrapped on a cylinder of odd circumference $L$ and calculate the exact densities of loops. These densities of loops are equa…

Probabilistic Analysis of the Random Spectral Radius for a Matrix Family

Approximation bounds for norm constrained deep neural networks

Scaling Properties of Current Fluctuations in Periodic TASEP

Exact loop densities in O(1) dense loop model on the cylinder of odd circumference and clusters in half-turn self-dual critical percolation

Exact loop densities in $O (1)$ dense loop model on the cylinder of odd circumference and clusters in half-turn self-dual critical percolation