We prove a moderate deviation principle for a super-Brownian motion with immigration of all dimensions, and consequently fill the gap between the central limit theorem and large deviation principle.
The purpose of this review article is to present some of the recent contributions that show the use of thermo-dynamics to describe biological systems and their evolution, illustrating the agreement that this theory pr...The purpose of this review article is to present some of the recent contributions that show the use of thermo-dynamics to describe biological systems and their evolution, illustrating the agreement that this theory pre-sents with the field of evolution. Organic systems are described as thermodynamic systems where entropy is produced by the irreversible processes, considering as an established fact that this entropy is eliminated through their frontiers to preserve life. The necessary and sufficient conditions to describe the evolution of life in the negentropy principle are established. Underlining the fact that the necessary condition requires formulation, which is founded on the principle of minimum entropy production for open systems operating near equilibrium. Other formulations are mentioned, particularly the information theory, the energy inten-siveness hypothesis and the theory of open systems far from equilibrium. Finally suggesting the possibility of considering the lineal formulation as a viable alternative;that is, given the internal constrictions under which a biological system operates, it is possible that the validity of its application is broader than it has been suggested.展开更多
基金This work was supported by the National Natural Science Foundation of China(Grant Nos.10071008 and 10121101).
文摘We prove a moderate deviation principle for a super-Brownian motion with immigration of all dimensions, and consequently fill the gap between the central limit theorem and large deviation principle.
文摘The purpose of this review article is to present some of the recent contributions that show the use of thermo-dynamics to describe biological systems and their evolution, illustrating the agreement that this theory pre-sents with the field of evolution. Organic systems are described as thermodynamic systems where entropy is produced by the irreversible processes, considering as an established fact that this entropy is eliminated through their frontiers to preserve life. The necessary and sufficient conditions to describe the evolution of life in the negentropy principle are established. Underlining the fact that the necessary condition requires formulation, which is founded on the principle of minimum entropy production for open systems operating near equilibrium. Other formulations are mentioned, particularly the information theory, the energy inten-siveness hypothesis and the theory of open systems far from equilibrium. Finally suggesting the possibility of considering the lineal formulation as a viable alternative;that is, given the internal constrictions under which a biological system operates, it is possible that the validity of its application is broader than it has been suggested.
