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Category: Journal of Mathematical Physics

Strict monotonicity, continuity, and bounds on the Kertész line for the random-cluster model on [math]

Strict monotonicity, continuity, and bounds on the Kertész line for the random-cluster model on [math]

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. Ising and Potts models can be studied using the Fortuin–Kasteleyn representation through the Edwards–Sokal coupling. This adapts to the setting where the models are exposed to an extern…

Derivation of the Maxwell–Schrödinger equations: A note on the infrared sector of the radiation field

Derivation of the Maxwell–Schrödinger equations: A note on the infrared sector of the radiation field

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. We slightly extend prior results about the derivation of the Maxwell–Schrödinger equations from the bosonic Pauli–Fierz Hamiltonian. More concretely, we show that the findings from Leop…

Blow-up solutions for a class of divergence Schrödinger equations with intercritical inhomogeneous nonlinearity

Blow-up solutions for a class of divergence Schrödinger equations with intercritical inhomogeneous nonlinearity

Journal of Mathematical Physics, Volume 64, Issue 1, January 2023. In this article, we study a class of divergence Schrödinger equations with intercritical inhomogeneous nonlinearity [math] where 2 − n < b < 2, c ≥ b − 2, and 2(2 − b) − bp < n…