An Interdisciplinary Journal

2001, Volume 4, Number 4, pp.318-321

Thermodynamics and Spectral Radius
A. Antonevich, V. Bakhtin, and A. Lebedev

The formula for the spectral radius of arbitrary weighted shift operators acting in Lp spaces is established. The formula contains as a component a new dynamical invariant - T-entropy (a mathematical analogue to the thermodynamic entropy). It is proved that the logarithm of the spectral radius and the T-entropy are linked by the Legendre transform.
Key words: T-entropy, weighted shift operator, Legendre transform, spectral radius

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