Gelfand-Dikii Brackets for Nonstandard Supersymmetric Systems

We show how a general nonstandard Lax equation (supersymmetric or otherwise) can be expressed as a standard Lax equation. This enables us to define the Gelfand-Dikii brackets for a nonstandard supersymmetric equation. We discuss the Hamiltonian structures for the nonstandard super KP system and work out explicitly the two Hamiltonian structures of the supersymmetric Two Boson system from this point of view.Comment: Plain Tex file, no figure

An analytic treatment of the Gibbs-Pareto behavior in wealth distribution

We develop a general framework, based on Boltzmann transport theory, to analyze the distribution of wealth in societies. Within this framework we derive the distribution function of wealth by using a two-party trading model for the poor people while for the rich people a new model is proposed where interaction with wealthy entities (huge reservoir) is relevant. At equilibrium, the interaction with wealthy entities gives a power-law (Pareto-like) behavior in the wealth distribution while the two-party interaction gives a Boltzmann-Gibbs distribution.Comment: 5 pages, 3 figures, accepted in Physica

Study on the Population Dynamics and Habitat Occupancy of Blackbuck (Antilope Cervicapra) in Ganjam District, Odisha, India

The habitat use and spreading of blackbuck population was studied during a Government of India funded research project during the Feb-1998 to March 2005 in Balipadar- Bhetnoi blackbuck reserve, Ganjam district, southern Odisha, India. The seasonal variation in vegetation abundance especially in herbs, shrubs and low height scrubs and trees are greatly marked. The topography of the study area is undulated with highlands ranging from 20mts MSL to 100 mts MSL The district receives rainfall of  1551.6mm in interior to 1148.6mm of rainfall in the coastal area. But the area shows severe dryness and most of the habitat behaves semi-arid conditions during the summer season. The overall dryness during summer   causes in shrinkage of forage grounds. The animal did movement in greater area in search of forage and water. Some times the animal are confined to the water bodies like small to medium check dams, stream beds and  low laying area in the cropland habitat.  The migration pattern of these animals depends on the topography, vegetation cover, terrine and rainfall (flooding) and different anthropological pressures. The local people do not harm to the beautiful and harmless animal. They protect blackbuck in a socio- religious aspect and conservation starts a century ago.  The past distribution area was so small that to the present distribution. The animal congregate to so large herds during mass forage after post harvest of paddy crops. The blackbuck   did assemblage in large numbers touching hundred of individuals in open countryside cropland habitat. The diurnal activity pattern including the group structure also changed according to the vegetation pattern and environmental factors in different seasons. Keywords: foraging pattern, blackbuck, habitat, vegetation pattern, rainfall, topography, cropping pattern, terrine, environmental factors, migration