Karol K. Kozlowski

activity

20182026

collaborators

3 papers

math.PR2026

Large deviations of the periodic Toda chain

Tamara Grava, Alice Guionnet, Karol K. Kozlowski +1

This work establishes a large deviation principle for the spectral measure of the Lax matrix associated to the periodic Toda chain of $N$ particles, subject to a generalised Gibbs…

math-ph2024

On the equilibrium measure for the Lukyanov integral

Charlie Dworaczek Guera, Karol K. Kozlowski

In 2000, Lukyanov conjectured that a certain ratio of $N$ -fold integrals should provide access, in the large- $N$ regime, to the ground state expectation value of the exponential of…

math-ph2018

Baxter operator and Baxter equation for $q$ -Toda and Toda $_{2}$ chains

O. Babelon, K. K. Kozlowski, V. Pasquier

We construct the Baxter operator $Q (λ)$ for the $q$ -Toda chain and the Toda $_{2}$ chain (the Toda chain in the second Hamiltonian structure). Our construction…

Large deviations of the periodic Toda chain

On the equilibrium measure for the Lukyanov integral

Baxter operator and Baxter equation for q-Toda and Toda2​ chains

Baxter operator and Baxter equation for $q$ -Toda and Toda $_{2}$ chains