Karol K. Kozlowski

activity

20182026

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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…

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