To examine the correlation between regional economic growth and inter-region transportation costs in China,this study establishes a regional economic growth model embedded with inter-region transportation costs based ...To examine the correlation between regional economic growth and inter-region transportation costs in China,this study establishes a regional economic growth model embedded with inter-region transportation costs based on the Cobb-Douglas production function.Based on a balanced growth empirical model,this study verifies the correlation by conducting a regression analysis of the panel data of 29 provinces,municipalities,and autonomous regions from 1985 to 2015.The empirical results show that:(1)The per capita GDP growth among the three regions(namely,the eastern,central,and westem regions of China)meets a conditional convergence trend,and the decreasing of the inter-region transportation costs increases the convergence speed;(2)The per capita GDP growth is in line with the club convergence trend within each of the three regions;(3)The trend of the output elasticity of the inter-region transportation costs shows that the gradual decrease of inter-region transportation costs has a positive correlation with the narrowing of economic disparity after the year 2000,accelerating“common prosperity”across different regions in China.展开更多
Rural vitalization is a major strategy for reform and development of agriculture and rural areas in China,the key task of which is improving rural living environment.Imperfect rural solid waste(RSW)collection and tran...Rural vitalization is a major strategy for reform and development of agriculture and rural areas in China,the key task of which is improving rural living environment.Imperfect rural solid waste(RSW)collection and transportation system exacerbates the pollution of RSW to rural living environment,while it has not been established and improved in the cold region of Northern China due to climate and economy.Through the analysis of the current situation of RSW source separation,collection,transportation and disposal in China,an RSW collection and transportation system suitable for the northern cold region was developed.Considering the low winter temperature in the northern cold region,different requirements for RSW collection,transportation and terminal disposal,scattered source points and single terminal disposal nodes in rural areas,the study focused on determining the number and location of transfer stations,established a model for transfer stations selection and RSW collection and transportation routes optimization for RSW collection and transportation system,and proposed the elite retention particle swarm optimization–genetic algorithm(ERPSO–GA).The rural area of Baiquan County was taken as a representative case,the collection and transportation scheme of which was given,and the feasibility of the scheme was clarified by simulation experiment.展开更多
The large-scale optimization problem requires some optimization techniques, and the Metaheuristics approach is highly useful for solving difficult optimization problems in practice. The purpose of the research is to o...The large-scale optimization problem requires some optimization techniques, and the Metaheuristics approach is highly useful for solving difficult optimization problems in practice. The purpose of the research is to optimize the transportation system with the help of this approach. We selected forest vehicle routing data as the case study to minimize the total cost and the distance of the forest transportation system. Matlab software helps us find the best solution for this case by applying three algorithms of Metaheuristics: Genetic Algorithm (GA), Ant Colony Optimization (ACO), and Extended Great Deluge (EGD). The results show that GA, compared to ACO and EGD, provides the best solution for the cost and the length of our case study. EGD is the second preferred approach, and ACO offers the last solution.展开更多
The study, carried out within the LogNet research project financed by Calabria region, deals with the analysis of the automotive supply chain. In particular, after a first examination of the characteristics of the who...The study, carried out within the LogNet research project financed by Calabria region, deals with the analysis of the automotive supply chain. In particular, after a first examination of the characteristics of the whole automotive supply chain, attention was focussed on its final part, that is, on transport and end-market distribution. The paper proposes specific models, which are differentiated by the transport mode （road, rail, sea） they are involved, to estimate the temporal and monetary costs related to the activity of goods distribution to the compounds/end-clients. The proposed mode/ling formulations concern two different areas of investigation： the network segment and interchange nodes. Each cost item is also calculated through aggregate formulations （where the cost is function of a single significant variable in relation to a unit cost parameter） and disaggregate formulations （where each cost item is separately considered）. The models have been applied to a study carried out for the modal transfer of vehicles in the port of Gioia Tauro, south of Italy. The analysis has allowed, on the one hand, to calibrate certain models and, on the other, to simulate certain scenario hypotheses to verify the technical feasibility of a different structure for the automotive supply chain in Italy.展开更多
Finding an initial basic feasible solution is the prime requirement to obtain an optimal solution for the transportation problems. In this article, a new approach is proposed to find an initial basic feasible solution...Finding an initial basic feasible solution is the prime requirement to obtain an optimal solution for the transportation problems. In this article, a new approach is proposed to find an initial basic feasible solution for the transportation problems. The method is also illustrated with numerical examples.展开更多
Quadruped robots with body joints exhibit enhanced mobility,however,in outdoor environments,the energy that the robot can carry is limited,necessitating optimization of energy consumption to accomplish more tasks with...Quadruped robots with body joints exhibit enhanced mobility,however,in outdoor environments,the energy that the robot can carry is limited,necessitating optimization of energy consumption to accomplish more tasks within these constraints.Inspired by quadruped animals,this paper proposes an energy-saving strategy for a body joint quadruped robot based on Central Pattern Generator(CPG)with multi-sensor fusion bio-reflexes.First,an energy consumption model for the robot is established,and energy characteristic tests are conducted under different gait parameters.Based on these energy characteristics,optimal energy-efficient gait parameters are determined for various environmental conditions.Second,biological reflex mechanisms are studied,and a motion control model based on multi-sensor fusion biological reflexes is established using CPG as the foundation.By integrating the reflex model and gait parameters,real-time adaptive adjustments to the robot’s motion gait are achieved on complex terrains,reducing energy loss caused by terrain disturbances.Finally,a prototype of the body joint quadruped robot is built for experimental verification.Simulation and experimental results demonstrate that the proposed algorithm effectively reduces the robot’s Cost of Transport(COT)and significantly improves energy efficiency.The related research results can provide a useful reference for the research on energy efficiency of quadruped robots on complex terrain.展开更多
Leaving ditches between adjacent mining areas can effectively reduce re-stripping in the latter mining area and simultaneously lead to an increment in internal dumping costs in the former mining area. This paper estab...Leaving ditches between adjacent mining areas can effectively reduce re-stripping in the latter mining area and simultaneously lead to an increment in internal dumping costs in the former mining area. This paper establishes calculation models for these two marginal costs. The optimizing model for slope cover height can be determined by including marginal cost models in the objective function. The paper has two main contributions:(a) it fully considers redistribution of dumping space in the model;(b) it introduces price fluctuations and cash discounts in the model. We use the typical open-pit mine as an example to test and prove the model. We conclude that a completely covered slope is reasonable in Haerwusu open pit mine; in addition to an increasing price index, the slope cover height can be reduced; and that price changes are one of the most important influencing factors of slope cover height optimization in an open-pit mine.展开更多
This research studied accessibility to secondary schools in some parts of Benue State. The objective of the study was to determine the level of accessibility to secondary school. The study adopted survey, field observ...This research studied accessibility to secondary schools in some parts of Benue State. The objective of the study was to determine the level of accessibility to secondary school. The study adopted survey, field observation and measurement to obtain the needed data. The study adopted gravity model as the related theoretical framework. GIS and descriptive statistical techniques were employed to map, visualize and analyze the data. The result shows that accessibility to secondary school in the three Local Government Areas is generally low, though it varies between schools, within and between Local Government Areas. This depicts a very stressful schooling condition for the majority of students, and has far-reaching implications in terms of lack of skilled manpower, inadequate facilities and consequently low standards in the educational system. To ensure effective and valid decision-making, and maintain high standards in the system, it was recommended that equitable and systematic distribution of school facilities should be embraced. Furthermore, more schools should be established in the areas which currently have low accessibility to bridge the accessibility gap and encourage active participation and consistent attendance at schools among the students.展开更多
In this general equilibrium framework, the transportation sector is modeled as a distinct sector with increasing returns. A more advanced technology has a higher fixed cost but a lower marginal cost of production. Eve...In this general equilibrium framework, the transportation sector is modeled as a distinct sector with increasing returns. A more advanced technology has a higher fixed cost but a lower marginal cost of production. Even with both manufacturing finns and transportation firms engaged in oligopolistic competition and optimally choosing their technologies, the model is tractable and results are derived analytically. Technology adoptions in the manufacturing sector and transportation sector are reinforcing, and multiple equilibria may exist. Firms choose more advanced technologies and the prices decrease when the size of the population is larger.展开更多
Based on a new panel data set covering exports of four Chinese port cities to 32 countries and Hong Kong over the period of 1997-2008, this paper extends the conventional gravity model to assess the impacts of transpo...Based on a new panel data set covering exports of four Chinese port cities to 32 countries and Hong Kong over the period of 1997-2008, this paper extends the conventional gravity model to assess the impacts of transport costs and port efficiency on China＇s exports. The results can be summarized as three main findings： （1） The improvements of port efficiency and reduction of road transport costs play a vital role in China＇s export competitiveness in the global market. The coefficient estimates on them are relatively large, around 0.72 and -0.89, respectively; （2） The effect of transport costs and port efficiency on China-to-Asia exports significantly exceeds that on China-to-Europe and China-to-America exports; （3） The overall estimated elasticity of road, railroad and port measure is 1.66, which is almost three times that of the average wage of port cities. The empirical results provide strong evidences that upgrading China＇s transport service networks should offer greater scope for maintaining and increasing its competitive edge in low cost productions. The findings offer some insights and priorities for government policy making.展开更多
This paper suggests an extending conventional gravity model design to empirically analyze the effect of transport costs and port efficiency on China's export flows. It shows that factor endowment and transport cos...This paper suggests an extending conventional gravity model design to empirically analyze the effect of transport costs and port efficiency on China's export flows. It shows that factor endowment and transport costs variables affect export trade value in directions that New Trade Theory(NTT) predicted. Also, the evidence indicates that, controlling for the effects of transport costs on trade, variables in traditional gravity model are consistent with previous empirical studies in both magnitudes and directions. Moreover, more than 22% of the variation in Chinese export trade can be explained by those three variables alone. The findings reported in this paper empirically explains how seriously transport costs and port efficiency affect China's export growth by comparing effects of labour production factor costs on external trade. It suggests that the improvement of port efficiency and reduction of road transport costs play a vital role in China's export competitiveness in the global market.展开更多
For stochastic reaction-diffusion equations with Levy noises and non-Lipschitz reaction terms,we prove that W\H transportation cost inequalities hold for their invariant probability measures and for their process-leve...For stochastic reaction-diffusion equations with Levy noises and non-Lipschitz reaction terms,we prove that W\H transportation cost inequalities hold for their invariant probability measures and for their process-level laws on the path space with respect to the L1-metrie.The proofs are based on the Galerkin approximations.展开更多
Tailoring material properties often requires understanding the solidification process.Herein,we introduce the geometric descriptor Soliquidy,which numerically captures the Euclidean transport cost between the translat...Tailoring material properties often requires understanding the solidification process.Herein,we introduce the geometric descriptor Soliquidy,which numerically captures the Euclidean transport cost between the translationally disordered versus ordered states of a materials.As a testbed,we apply Soliquidy to the classification of glass-forming metal alloys.By extending and combining an experimental library of metallic thin films(glass/no-glass)with the aflow.org computational database(geometrical and energetic information of mixtures)we found that the combination of Soliquity and formation enthalpies generates an effective classifier for glass formation.Such a classifier is then used to tackle a public dataset of metallic glasses showing that the glass-agnostic assumptions of Soliquity can be useful for understanding kinetically-controlled phase transitions.展开更多
Erratum to:Front Inform Technol Electron Eng,2025,26(9):1679-1691 https://doi.org/10.1631/FITEE.2401070 The order of the 2nd and 3rd affiliations in the original paper should be switched;namely,“Chinese Scholartree R...Erratum to:Front Inform Technol Electron Eng,2025,26(9):1679-1691 https://doi.org/10.1631/FITEE.2401070 The order of the 2nd and 3rd affiliations in the original paper should be switched;namely,“Chinese Scholartree Ridge State Key Laboratory,China North Vehicle Research Institute,Beijing 100072,China”is the second affiliation,and“Institute for Infocomm Research,A*STAR,Singapore 138632,Singapore”the third one.展开更多
We analyze product differentiation in a multi-dimensional model with non-uniform consumer distribution.The level of product differentiation is measured by both unit transport costs and firms'locations.Our analysis...We analyze product differentiation in a multi-dimensional model with non-uniform consumer distribution.The level of product differentiation is measured by both unit transport costs and firms'locations.Our analysis concerns both measures.First,fixing firms'locations,we show that equilibrium prices can increase or decrease with unit transport costs.The overall result depends on the interplay of a shifting effect and a rotating effect-the latter exists only in multi-dimensional models.Second,fixing unit transport costs,we find that under non-uniform distribution,there may exist no equilibrium where firms maximize differentiation on one dimension but minimize differentiation on other dimensions.Instead,there may exist an equilibrium where firms choose intermediate locations,contrary to common findings in existing studies which assume uniform distribution.展开更多
By using the dimension-free Harnack inequality, the coupling method, and Bakry-Emery＇s argument, some explicit lower bounds are presented for the constant of the Beckner type inequality on compact manifolds. As appli...By using the dimension-free Harnack inequality, the coupling method, and Bakry-Emery＇s argument, some explicit lower bounds are presented for the constant of the Beckner type inequality on compact manifolds. As applications, the Beckner inequality and the transportation cost inequality are established for a class of continuous spin systems. In particular, some results in [1, 2] are generalized.展开更多
基金This work is financially supported by the fund of humanistic and social science study of the Ministry of Education(study on industry specialties and logistics system in the western region of China under the viewpoint of"Silk Road Economic Belt,"15YJC790009).
文摘To examine the correlation between regional economic growth and inter-region transportation costs in China,this study establishes a regional economic growth model embedded with inter-region transportation costs based on the Cobb-Douglas production function.Based on a balanced growth empirical model,this study verifies the correlation by conducting a regression analysis of the panel data of 29 provinces,municipalities,and autonomous regions from 1985 to 2015.The empirical results show that:(1)The per capita GDP growth among the three regions(namely,the eastern,central,and westem regions of China)meets a conditional convergence trend,and the decreasing of the inter-region transportation costs increases the convergence speed;(2)The per capita GDP growth is in line with the club convergence trend within each of the three regions;(3)The trend of the output elasticity of the inter-region transportation costs shows that the gradual decrease of inter-region transportation costs has a positive correlation with the narrowing of economic disparity after the year 2000,accelerating“common prosperity”across different regions in China.
基金Supported by Heilongjiang Province Philosophy and Social Science Planning Research Project(22JYB232)。
文摘Rural vitalization is a major strategy for reform and development of agriculture and rural areas in China,the key task of which is improving rural living environment.Imperfect rural solid waste(RSW)collection and transportation system exacerbates the pollution of RSW to rural living environment,while it has not been established and improved in the cold region of Northern China due to climate and economy.Through the analysis of the current situation of RSW source separation,collection,transportation and disposal in China,an RSW collection and transportation system suitable for the northern cold region was developed.Considering the low winter temperature in the northern cold region,different requirements for RSW collection,transportation and terminal disposal,scattered source points and single terminal disposal nodes in rural areas,the study focused on determining the number and location of transfer stations,established a model for transfer stations selection and RSW collection and transportation routes optimization for RSW collection and transportation system,and proposed the elite retention particle swarm optimization–genetic algorithm(ERPSO–GA).The rural area of Baiquan County was taken as a representative case,the collection and transportation scheme of which was given,and the feasibility of the scheme was clarified by simulation experiment.
文摘The large-scale optimization problem requires some optimization techniques, and the Metaheuristics approach is highly useful for solving difficult optimization problems in practice. The purpose of the research is to optimize the transportation system with the help of this approach. We selected forest vehicle routing data as the case study to minimize the total cost and the distance of the forest transportation system. Matlab software helps us find the best solution for this case by applying three algorithms of Metaheuristics: Genetic Algorithm (GA), Ant Colony Optimization (ACO), and Extended Great Deluge (EGD). The results show that GA, compared to ACO and EGD, provides the best solution for the cost and the length of our case study. EGD is the second preferred approach, and ACO offers the last solution.
文摘The study, carried out within the LogNet research project financed by Calabria region, deals with the analysis of the automotive supply chain. In particular, after a first examination of the characteristics of the whole automotive supply chain, attention was focussed on its final part, that is, on transport and end-market distribution. The paper proposes specific models, which are differentiated by the transport mode （road, rail, sea） they are involved, to estimate the temporal and monetary costs related to the activity of goods distribution to the compounds/end-clients. The proposed mode/ling formulations concern two different areas of investigation： the network segment and interchange nodes. Each cost item is also calculated through aggregate formulations （where the cost is function of a single significant variable in relation to a unit cost parameter） and disaggregate formulations （where each cost item is separately considered）. The models have been applied to a study carried out for the modal transfer of vehicles in the port of Gioia Tauro, south of Italy. The analysis has allowed, on the one hand, to calibrate certain models and, on the other, to simulate certain scenario hypotheses to verify the technical feasibility of a different structure for the automotive supply chain in Italy.
文摘Finding an initial basic feasible solution is the prime requirement to obtain an optimal solution for the transportation problems. In this article, a new approach is proposed to find an initial basic feasible solution for the transportation problems. The method is also illustrated with numerical examples.
基金supported by the National Natural Science Foundation of China(Grant no.52075488)the Natural Science Foundation of Zhejiang Province(LY20E050023).
文摘Quadruped robots with body joints exhibit enhanced mobility,however,in outdoor environments,the energy that the robot can carry is limited,necessitating optimization of energy consumption to accomplish more tasks within these constraints.Inspired by quadruped animals,this paper proposes an energy-saving strategy for a body joint quadruped robot based on Central Pattern Generator(CPG)with multi-sensor fusion bio-reflexes.First,an energy consumption model for the robot is established,and energy characteristic tests are conducted under different gait parameters.Based on these energy characteristics,optimal energy-efficient gait parameters are determined for various environmental conditions.Second,biological reflex mechanisms are studied,and a motion control model based on multi-sensor fusion biological reflexes is established using CPG as the foundation.By integrating the reflex model and gait parameters,real-time adaptive adjustments to the robot’s motion gait are achieved on complex terrains,reducing energy loss caused by terrain disturbances.Finally,a prototype of the body joint quadruped robot is built for experimental verification.Simulation and experimental results demonstrate that the proposed algorithm effectively reduces the robot’s Cost of Transport(COT)and significantly improves energy efficiency.The related research results can provide a useful reference for the research on energy efficiency of quadruped robots on complex terrain.
基金the key project of the National Natural Science Foundation of China (No. 51034005)the Research Fund for the Doctoral Program of Higher Education of China(No.20100095110019)+1 种基金the National‘‘Twelfth Five-Year’’Plan for Science and Technology Support of China(No.2014BAC14B00)the National High Technology Research and Development Program of China(No.2012AA062004)
文摘Leaving ditches between adjacent mining areas can effectively reduce re-stripping in the latter mining area and simultaneously lead to an increment in internal dumping costs in the former mining area. This paper establishes calculation models for these two marginal costs. The optimizing model for slope cover height can be determined by including marginal cost models in the objective function. The paper has two main contributions:(a) it fully considers redistribution of dumping space in the model;(b) it introduces price fluctuations and cash discounts in the model. We use the typical open-pit mine as an example to test and prove the model. We conclude that a completely covered slope is reasonable in Haerwusu open pit mine; in addition to an increasing price index, the slope cover height can be reduced; and that price changes are one of the most important influencing factors of slope cover height optimization in an open-pit mine.
文摘This research studied accessibility to secondary schools in some parts of Benue State. The objective of the study was to determine the level of accessibility to secondary school. The study adopted survey, field observation and measurement to obtain the needed data. The study adopted gravity model as the related theoretical framework. GIS and descriptive statistical techniques were employed to map, visualize and analyze the data. The result shows that accessibility to secondary school in the three Local Government Areas is generally low, though it varies between schools, within and between Local Government Areas. This depicts a very stressful schooling condition for the majority of students, and has far-reaching implications in terms of lack of skilled manpower, inadequate facilities and consequently low standards in the educational system. To ensure effective and valid decision-making, and maintain high standards in the system, it was recommended that equitable and systematic distribution of school facilities should be embraced. Furthermore, more schools should be established in the areas which currently have low accessibility to bridge the accessibility gap and encourage active participation and consistent attendance at schools among the students.
文摘In this general equilibrium framework, the transportation sector is modeled as a distinct sector with increasing returns. A more advanced technology has a higher fixed cost but a lower marginal cost of production. Even with both manufacturing finns and transportation firms engaged in oligopolistic competition and optimally choosing their technologies, the model is tractable and results are derived analytically. Technology adoptions in the manufacturing sector and transportation sector are reinforcing, and multiple equilibria may exist. Firms choose more advanced technologies and the prices decrease when the size of the population is larger.
基金supported by the National Natural Science Foundation of China under Grant Nos.71101142 and 70903067
文摘Based on a new panel data set covering exports of four Chinese port cities to 32 countries and Hong Kong over the period of 1997-2008, this paper extends the conventional gravity model to assess the impacts of transport costs and port efficiency on China＇s exports. The results can be summarized as three main findings： （1） The improvements of port efficiency and reduction of road transport costs play a vital role in China＇s export competitiveness in the global market. The coefficient estimates on them are relatively large, around 0.72 and -0.89, respectively; （2） The effect of transport costs and port efficiency on China-to-Asia exports significantly exceeds that on China-to-Europe and China-to-America exports; （3） The overall estimated elasticity of road, railroad and port measure is 1.66, which is almost three times that of the average wage of port cities. The empirical results provide strong evidences that upgrading China＇s transport service networks should offer greater scope for maintaining and increasing its competitive edge in low cost productions. The findings offer some insights and priorities for government policy making.
基金supported by the National Natural Science Foundation of China under Grant Nos.71390330,71390331,71390335,71373262,and 71373023Academic Human Resources Development in Beijing Union University under Grant No.Rk100201509
文摘This paper suggests an extending conventional gravity model design to empirically analyze the effect of transport costs and port efficiency on China's export flows. It shows that factor endowment and transport costs variables affect export trade value in directions that New Trade Theory(NTT) predicted. Also, the evidence indicates that, controlling for the effects of transport costs on trade, variables in traditional gravity model are consistent with previous empirical studies in both magnitudes and directions. Moreover, more than 22% of the variation in Chinese export trade can be explained by those three variables alone. The findings reported in this paper empirically explains how seriously transport costs and port efficiency affect China's export growth by comparing effects of labour production factor costs on external trade. It suggests that the improvement of port efficiency and reduction of road transport costs play a vital role in China's export competitiveness in the global market.
基金supported by National Natural Science Foundation of China(Grant Nos.11571043,11431014 and 11871008)supported by National Natural Science Foundation of China(Grant Nos.11871382 and 11671076)
文摘For stochastic reaction-diffusion equations with Levy noises and non-Lipschitz reaction terms,we prove that W\H transportation cost inequalities hold for their invariant probability measures and for their process-level laws on the path space with respect to the L1-metrie.The proofs are based on the Galerkin approximations.
基金supported by the Office of Naval Research under grants N00014-20-1-2200 and N00014-20-1-2225supported by high-performance computer time and resources from the DoD High-Performance Computing Modernization Program(Frontier).We acknowledge Auro Scientific,LLC for computational support.
文摘Tailoring material properties often requires understanding the solidification process.Herein,we introduce the geometric descriptor Soliquidy,which numerically captures the Euclidean transport cost between the translationally disordered versus ordered states of a materials.As a testbed,we apply Soliquidy to the classification of glass-forming metal alloys.By extending and combining an experimental library of metallic thin films(glass/no-glass)with the aflow.org computational database(geometrical and energetic information of mixtures)we found that the combination of Soliquity and formation enthalpies generates an effective classifier for glass formation.Such a classifier is then used to tackle a public dataset of metallic glasses showing that the glass-agnostic assumptions of Soliquity can be useful for understanding kinetically-controlled phase transitions.
文摘Erratum to:Front Inform Technol Electron Eng,2025,26(9):1679-1691 https://doi.org/10.1631/FITEE.2401070 The order of the 2nd and 3rd affiliations in the original paper should be switched;namely,“Chinese Scholartree Ridge State Key Laboratory,China North Vehicle Research Institute,Beijing 100072,China”is the second affiliation,and“Institute for Infocomm Research,A*STAR,Singapore 138632,Singapore”the third one.
文摘We analyze product differentiation in a multi-dimensional model with non-uniform consumer distribution.The level of product differentiation is measured by both unit transport costs and firms'locations.Our analysis concerns both measures.First,fixing firms'locations,we show that equilibrium prices can increase or decrease with unit transport costs.The overall result depends on the interplay of a shifting effect and a rotating effect-the latter exists only in multi-dimensional models.Second,fixing unit transport costs,we find that under non-uniform distribution,there may exist no equilibrium where firms maximize differentiation on one dimension but minimize differentiation on other dimensions.Instead,there may exist an equilibrium where firms choose intermediate locations,contrary to common findings in existing studies which assume uniform distribution.
基金Project supported by the National Natural Scienoe Fbundation of China (No.10121101)the Research Fund for the Doctoral Program of Higher Education (No.20040027009).
文摘By using the dimension-free Harnack inequality, the coupling method, and Bakry-Emery＇s argument, some explicit lower bounds are presented for the constant of the Beckner type inequality on compact manifolds. As applications, the Beckner inequality and the transportation cost inequality are established for a class of continuous spin systems. In particular, some results in [1, 2] are generalized.
