Discussions around Voiculescu's free entropies
نویسندگان
چکیده
منابع مشابه
Rényi Entropies for Free Field Theories
Rényi entropies Sq are useful measures of quantum entanglement; they can be calculated from traces of the reduced density matrix raised to power q, with q ≥ 0. For (d + 1)dimensional conformal field theories, the Rényi entropies across S may be extracted from the thermal partition functions of these theories on either (d+1)-dimensional de Sitter space or R×H, where H is the d-dimensional hyperb...
متن کاملExploring coherence relationships in online group discussions around Web documents
A central aspect of coherence in asynchronous computer-mediated communication is how a message connects to previous messages in a dialogue. This is also a frequent source of problems for users: because of the time delay and the fact that several conversations may be going on simultaneously, the participants in an online discussion may need support for placing a message in a discourse context. T...
متن کاملRényi entropies of free bosons on the torus and holography
We analytically evaluate the Rényi entropies for the two dimensional free boson CFT. The CFT is considered to be compactified on a circle and at finite temperature. The Rényi entropies Sn are evaluated for a single interval using the two point function of bosonic twist fields on a torus. For the case of the compact boson, the sum over the classical saddle points results in the Riemann-Siegel th...
متن کاملGeneralized entropies and open random and scale-free networks
We propose the concept of open network as an arbitrary selection of nodes of a large unknown network. Using the hypothesis that information of the whole network structure can be extrapolated from an arbitrary set of its nodes, we use Rényi mutual entropies in different qorders to establish the minimum critical size of a random set of nodes that represents reliably the information of the main ne...
متن کاملEntropies for complex systems: generalized-generalized entropies
Many complex systems are characterized by non-Boltzmann distribution functions of their statistical variables. If one wants to – justified or not – hold on to the maximum entropy principle for complex statistical systems (non-Boltzmann) we demonstrate how the corresponding entropy has to look like, given the form of the corresponding distribution functions. By two natural assumptions that (i) t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2003
ISSN: 0001-8708
DOI: 10.1016/s0001-8708(02)00032-4