On the Higher-Spin Spectrum in Large N Chern-Simons Vector Models

Chern-Simons gauge theories coupled to massless fundamental scalars or fermions define interesting non-supersymmetric 3d CFTs that possess approximate higher-spin symmetries at large N. In this paper, we compute the scaling dimensions of the higher-spin operators in these models, to leading order in the 1/N expansion and exactly in the 't Hooft coupling. We obtain these results in two independent ways: by using conformal symmetry and the classical equations of motion to fix the structure of the current non-conservation, and by a direct Feynman diagram calculation. The full dependence on the 't Hooft coupling can be restored by using results that follow from the weakly broken higher-spin symmetry. This analysis also allows us to obtain some explicit results for the non-conserved, parity-breaking structures that appear in planar three-point functions of the higher-spin operators. At large spin, we find that the anomalous dimensions grow logarithmically with the spin, in agreement with general expectations. This logarithmic behavior disappears in the strong coupling limit, where the anomalous dimensions turn into those of the critical O(N) or Gross-Neveu models, in agreement with the conjectured 3d bosonization duality.Comment: 52 pages, 7 figures. v3: Minor correction

Practices of forest exploitation in priority investment projects: Benefits and implications

The paper discusses the topical issues of investment activities enhancement in the forest sector of the Russian economy by implementing the mechanism of priority investment projects in the field of forest exploitation - economic model of public-private partnership proposed by the forest owner (the State) for the private sector. The aim of the considered investment projects is the development of a timber-processing infrastructure, which is reliably provided with wood raw materials. It becomes possible to ensure certain preferences for businessmen that encourage them to invest money into the forest sector. Thus, the other objective is to develop recommendations for attracting investments into the forest sector of the Russian economy in the framework of priority investment projects. The paper analyzes a ten-year experience in the practice of applying priority investment projects in forest exploitation using an integrated approach to studying project management issues and method of comparison. The research identifies positive moments and a number of organizational and methodological shortcomings related to the development and implementation of investment projects in the forest sector of the Russian Federation. A number of areas contributing to the development of investment activities in forest exploitation is proposed. © Published under licence by IOP Publishing Ltd

Synchronizing automata with random inputs

We study the problem of synchronization of automata with random inputs. We present a series of automata such that the expected number of steps until synchronization is exponential in the number of states. At the same time, we show that the expected number of letters to synchronize any pair of the famous Cerny automata is at most cubic in the number of states

Practices of forest exploitation in priority investment projects: Benefits and implications

The paper discusses the topical issues of investment activities enhancement in the forest sector of the Russian economy by implementing the mechanism of priority investment projects in the field of forest exploitation - economic model of public-private partnership proposed by the forest owner (the State) for the private sector. The aim of the considered investment projects is the development of a timber-processing infrastructure, which is reliably provided with wood raw materials. It becomes possible to ensure certain preferences for businessmen that encourage them to invest money into the forest sector. Thus, the other objective is to develop recommendations for attracting investments into the forest sector of the Russian economy in the framework of priority investment projects. The paper analyzes a ten-year experience in the practice of applying priority investment projects in forest exploitation using an integrated approach to studying project management issues and method of comparison. The research identifies positive moments and a number of organizational and methodological shortcomings related to the development and implementation of investment projects in the forest sector of the Russian Federation. A number of areas contributing to the development of investment activities in forest exploitation is proposed. © Published under licence by IOP Publishing Ltd