In this work, we propose a new model of evolution networks, which is based on the evolution of the traffic flow. In our method, the network growth does not take into account preferential attachment, and the attachment...In this work, we propose a new model of evolution networks, which is based on the evolution of the traffic flow. In our method, the network growth does not take into account preferential attachment, and the attachment of new node is independent of the degree of nodes. Our aim is that employing the theory of evolution network, we give a further understanding about the dynamical evolution of the traffic flow. We investigate the probability distributions and scaling properties of the proposed model The simulation results indicate that in the proposed model, the distribution of the output connections can be well described by scale-free distribution. Moreover, the distribution of the connections is largely related to the traffic flow states, such as the exponential distribution （i.e., the scale-free distribution） and random distribution etc.展开更多
Throughout the decision-making process, prudent investors must address questions regarding the probabilities of future profit gain. In this study, the probability-based discounted cash flow （DCF） method with net pre...Throughout the decision-making process, prudent investors must address questions regarding the probabilities of future profit gain. In this study, the probability-based discounted cash flow （DCF） method with net present value （NPV） as the indicator was adopted as an analysis tool. A probabilistic framework for measuring exceeding probability of annual rate of return on a commercial real estate investment under a specified holding period was developed. Based on the framework, the relation curves of annual rate of return versus the corresponding exceeding probability of return for available financing schemes were constructed. These curves were used as a tool to prioritize the schemes and inform decision-making. An example case is presented to demonstrate the decision-making process developed in this study. Through the proposed process, investors are given basic information on the return, probability that profit gain will occur, and feasibility of financial schemes for commercial real estate investments.展开更多
Using the theory of small ball estimate to study the biological population for keeping ecological balance in an ecosystem, we consider a Brownian motion with variable dimen- sion starting at an interior point of a gen...Using the theory of small ball estimate to study the biological population for keeping ecological balance in an ecosystem, we consider a Brownian motion with variable dimen- sion starting at an interior point of a general parabolic domain Dt in Rd（t）＋1 where d（t） ≥ 1 is an increasing integral function as t →∞, d（t） →∞. Let TOt denote the first time the Brownian motion exits from Dr. Upper and lower bounds with exact constants of log P（rDt 〉 t） are given as t →∞, depending on the shape of the domain Dr. The problem is motivated by the early results of Lifshits and Shi, Li, Lu in the exit proba- bilities. The methods of proof are based on the calculus of variations and early works of Lifshits and Shi, Li, Shao in the exit probabilities of Brownian motion.展开更多
基金The project supported by National Natural Science Foundations of China under Grant Nos and Technology Foundation of Beijing Jiaotong University under Grant No. 2004SM026 70471088 and 70225005 and Che Science.
文摘In this work, we propose a new model of evolution networks, which is based on the evolution of the traffic flow. In our method, the network growth does not take into account preferential attachment, and the attachment of new node is independent of the degree of nodes. Our aim is that employing the theory of evolution network, we give a further understanding about the dynamical evolution of the traffic flow. We investigate the probability distributions and scaling properties of the proposed model The simulation results indicate that in the proposed model, the distribution of the output connections can be well described by scale-free distribution. Moreover, the distribution of the connections is largely related to the traffic flow states, such as the exponential distribution （i.e., the scale-free distribution） and random distribution etc.
文摘Throughout the decision-making process, prudent investors must address questions regarding the probabilities of future profit gain. In this study, the probability-based discounted cash flow （DCF） method with net present value （NPV） as the indicator was adopted as an analysis tool. A probabilistic framework for measuring exceeding probability of annual rate of return on a commercial real estate investment under a specified holding period was developed. Based on the framework, the relation curves of annual rate of return versus the corresponding exceeding probability of return for available financing schemes were constructed. These curves were used as a tool to prioritize the schemes and inform decision-making. An example case is presented to demonstrate the decision-making process developed in this study. Through the proposed process, investors are given basic information on the return, probability that profit gain will occur, and feasibility of financial schemes for commercial real estate investments.
文摘Using the theory of small ball estimate to study the biological population for keeping ecological balance in an ecosystem, we consider a Brownian motion with variable dimen- sion starting at an interior point of a general parabolic domain Dt in Rd（t）＋1 where d（t） ≥ 1 is an increasing integral function as t →∞, d（t） →∞. Let TOt denote the first time the Brownian motion exits from Dr. Upper and lower bounds with exact constants of log P（rDt 〉 t） are given as t →∞, depending on the shape of the domain Dr. The problem is motivated by the early results of Lifshits and Shi, Li, Lu in the exit proba- bilities. The methods of proof are based on the calculus of variations and early works of Lifshits and Shi, Li, Shao in the exit probabilities of Brownian motion.
