4 papers
The Generalized Friendship Paradox for Spectral Centralities
Rajat Subhra Hazra, Evgeny Verbitskiy
We revisit the classical friendship paradox which states that on an average ones friends have at least as many friends as oneself and generalize it to a variety of network centrali…
Gibbs Properties of Equilibrium States
Mirmukhsin Makhmudov, Evgeny Verbitskiy
We consider the problem of equivalence of Gibbs states and equilibrium states for continuous potentials on full shift spaces . Sinai, Bowen, Ruelle and others estab…
Computation of Lyapunov exponents of matrix products
Aihua Fan, Evgeny Verbitskiy
For given square matrices (), one of which is assumed to be of rank , and for a given sequence in $\{0,1, \cdots, m-1\}^\mathbb{N…
On an extension of a theorem by Ruelle to long-range potentials
Aernout C. D. van Enter, Roberto Fernández, Mirmukhsin Makhmudov +1
Ruelle's transfer operator plays an important role in understanding thermodynamic and probabilistic properties of dynamical systems. In this work, we develop a method of finding ei…