Fredholm determinants from Schrödinger-type equations, and deformation of Tracy–Widom distribution

Key Points

• The deformation of the Tracy–Widom distribution has essential implications for statistical mechanics, particularly in random matrix theory.
• Critical insights show how changes in Schrödinger-type equations relate directly to Fredholm determinants and distribution behavior.
• Observational analysis rooted in theoretical models connects the complexities of deformation with established mathematical frameworks.
• These findings highlight fundamental relationships in the field, warranting further exploration in statistical physics and mathematical studies.