3 papers
math.DS2026
The hypocoercivity index for the short time behavior of linear time-invariant ODE systems
Franz Achleitner, Anton Arnold, Eric A. Carlen
We consider the class of conservative-dissipative ODE systems, which is a subclass of Lyapunov stable, linear time-invariant ODE systems. We characterize asymptotically stable, con…
math.PR2025
Spectral Gap for the Stochastic Exchange Model
Eric A. Carlen, Gustavo Posta, Imre Péter Tóth
We prove a spectral gap inequality for the stochastic exchange model studied by Gaspard and Gilbert and by Grigo, Khanin and Szász in connection with understanding heat conduction…
math-ph2025
A Jensen inequality for partial traces and applications to partially semiclassical limits
Eric A. Carlen, Rupert L. Frank, Simon Larson
We prove a matrix inequality for convex functions of a Hermitian matrix on a bipartite space. As an application we reprove and extend some theorems about eigenvalue asymptotics of…