Sami Vihko

activity

20242026

collaborators

3 papers

math-ph2026

The massless sine-Gordon model with logarithmic correlations in arbitrary dimension

Sami Vihko

In this article, we study the sine-Gordon model with logarithmic correlations in arbitrary dimension $d \geq 1$ . The model is defined as a Euclidean field theory whose interaction t…

math.NT2025

Dirichlet $L$ -functions on the critical line and multiplicative chaos

Sami Vihko

In this paper we prove that the Dirichlet $L$ -functions $L (1/2 + i x, I ¨ _{q})$ , where $I ¨ _{q}$ is uniformly random Dirichlet character modulo $q$ and $x \in R$ , converges to a rand…

math.PR2024

Reconstruction of log-correlated fields from multiplicative chaos measures

Sami Vihko

We consider log-correlated random fields $X$ and the associated multiplicative chaos measures $I^¼_{I^^{3}, X}$ . Our results reconstruct the underlying field $X$ from the multiplicative…

The massless sine-Gordon model with logarithmic correlations in arbitrary dimension

Dirichlet L-functions on the critical line and multiplicative chaos

Reconstruction of log-correlated fields from multiplicative chaos measures

Dirichlet $L$ -functions on the critical line and multiplicative chaos