3 papers
math.DG2026
The Cheeger constant of curved tubes in real space forms
Petr Vlachopulos
Motivated by the geometric properties of curved tubes defined by closed curves , we compute the Cheeger constant in the rea…
math.NT2026
On the generalized inverse tangent integral and Catalan's constant
Petr Vlachopulos
In this paper, we develop new identities for the inverse tangent integral by connecting it to the dilogarithmic (polylogarithmic) structure and to a carefully designed auxiliary ar…
physics.gen-ph2026
Entropy and Holography through Adjunctions: A Bicategorical Perspective on Landauer's Principle
Petr Vlachopulos
We develop a bicategorical formulation of entropy and Landauer's principle in which deterministic monotone maps between logical and thermodynamic state spaces are embedded into a b…