703 research outputs found
Did Growth and Reforms Increase Citizens’ Support for the Transition?
How did post-communist transformations affect people’s perceptions of their economic and political systems? We model a pseudo-panel with 89 country-year clusters, based on 13 countries observed between 1991 and 2004, to identify the macro and institutional drivers of the public opinion. Our main findings are: (i) When the economy is growing, on average people appreciate more extensive reforms; they dislike unbalanced reforms. (ii) Worsening of income distribution and higher inflation interact with an increasing share of the private sector in aggravating nostalgia for the past regime. (iii) Cross-country differences in the attitudes towards the present and future (both in the economic and political dimensions) are largely explained by differences in the institutional indicators for the rule of law and corruption. (iv) Cross-country differences in the extent of nostalgia towards the past are mainly related to differences in the deterioration of standards of living.
Derivation of a Matrix Product Representation for the Asymmetric Exclusion Process from Algebraic Bethe Ansatz
We derive, using the algebraic Bethe Ansatz, a generalized Matrix Product
Ansatz for the asymmetric exclusion process (ASEP) on a one-dimensional
periodic lattice. In this Matrix Product Ansatz, the components of the
eigenvectors of the ASEP Markov matrix can be expressed as traces of products
of non-commuting operators. We derive the relations between the operators
involved and show that they generate a quadratic algebra. Our construction
provides explicit finite dimensional representations for the generators of this
algebra.Comment: 16 page
Hidden symmetries in the asymmetric exclusion process
We present a spectral study of the evolution matrix of the totally asymmetric
exclusion process on a ring at half filling. The natural symmetries
(translation, charge conjugation combined with reflection) predict only two
fold degeneracies. However, we have found that degeneracies of higher order
also exist and, as the system size increases, higher and higher orders appear.
These degeneracies become generic in the limit of very large systems. This
behaviour can be explained by the Bethe Ansatz and suggests the presence of
hidden symmetries in the model.
Keywords: ASEP, Markov matrix, symmetries, spectral degeneracies, Bethe
Ansatz.Comment: 16 page
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