The goal of this paper is to investigate topological conditional pressure of a continuous transformation as defined for sub-additive potentials. This study presents a vari- ational inequality for sub-additive topologi...The goal of this paper is to investigate topological conditional pressure of a continuous transformation as defined for sub-additive potentials. This study presents a vari- ational inequality for sub-additive topological conditional pressure on a closed subset, which is the other form of the variational principle for the sub-additive topological pressure pre- sented by Cao, Feng, and Huang in [9]. Moreover, under some additional assumptions, this result can be generalized to the non-compact case.展开更多
We define the topological tail pressure and the conditional pressure for asymptotically sub-additive continuous potentials on topological dynamical systems and obtain a variational principle for the topological tail p...We define the topological tail pressure and the conditional pressure for asymptotically sub-additive continuous potentials on topological dynamical systems and obtain a variational principle for the topological tail pressure without any additional assumptions.展开更多
In this paper, we will construct a new class of subadditive set-valued maps and use Cantor theorem to prove that the set-valued map has an unique additive selection map when the set-valued map satisfies some certain c...In this paper, we will construct a new class of subadditive set-valued maps and use Cantor theorem to prove that the set-valued map has an unique additive selection map when the set-valued map satisfies some certain conditions, and then compare the obtained result with the well-known results.展开更多
The aim of this paper is to extend the semi-uniform ergodic theorem and semi-uniform sub-additive ergodic theorem to skew-product quasi-flows. Furthermore, more strict inequalities about these two theorems are establi...The aim of this paper is to extend the semi-uniform ergodic theorem and semi-uniform sub-additive ergodic theorem to skew-product quasi-flows. Furthermore, more strict inequalities about these two theorems are established. By making use of these results, it is feasible to get uniform estimation of the Lyapunov exponent of some special systems even under non-uniform hypotheses展开更多
In this paper, we give some definitions of the topological tail pressures for sub-additive potentials and prove that they are equivalent if the potentials are continuous. Under some assumptions, we get a variational p...In this paper, we give some definitions of the topological tail pressures for sub-additive potentials and prove that they are equivalent if the potentials are continuous. Under some assumptions, we get a variational principle which exhibits the relationship between topological tail pressure and measure-theoretic tail entropy. Finally, we define a new measure-theoretic tail pressure for sub-additive potentials and some interesting properties of it are obtained.展开更多
In this paper,we study unstable topological pressure for C^(1)-smooth partially hyperbolic diffeomorphisms with sub-additive potentials.Moreover,without any additional assumption,we have established the expected varia...In this paper,we study unstable topological pressure for C^(1)-smooth partially hyperbolic diffeomorphisms with sub-additive potentials.Moreover,without any additional assumption,we have established the expected variational principle which connects this unstable topological pressure and the unstable measure theoretic entropy,as well as the corresponding Lyapunov exponent.展开更多
Behavioral studies have revealed the sub-additive discounting pattern,which is at odds with the prevailing hyperbolic discounting framework that explains intertemporal choices.In this study,we demonstrate that complet...Behavioral studies have revealed the sub-additive discounting pattern,which is at odds with the prevailing hyperbolic discounting framework that explains intertemporal choices.In this study,we demonstrate that completely and partially sophisticated individuals who are aware of their shifting preferences over time may exhibit sub-additive discounting behaviors.More importantly,these behaviors are not determined by whether an individual has hyperbolic time preferences or not.Instead,we show that the choices of reference points and partial projection bias may be the underlying drivers of the observed sub-additive discounting.展开更多
The interaction of xylanase, protease and superdosing(1,500 FTU/kg) phytase in a 2×2×2 factorial arrangement was studied in broilers fed sorghum-based diets. A total of 2,800 one-day-old unsexed Ross308 chic...The interaction of xylanase, protease and superdosing(1,500 FTU/kg) phytase in a 2×2×2 factorial arrangement was studied in broilers fed sorghum-based diets. A total of 2,800 one-day-old unsexed Ross308 chicks were housed in 56 pens with 50 birds per pen, with or without inclusion of xylanase, protease and phytase, totaling 8 treatments and 7 replicates per treatment. Body weight(BW) and feed intake(FI)were measured at 21 and 42 days of age, and mortality corrected feed conversion ratio(FCR) was calculated for each period and cumulatively. Tibia ash and carcass yield were determined in 2 birds per replicate at 21 and 42 days of age, respectively. Digesta transit time was determined at 21, 28, 35 and 42 days of age using 5 birds per replicate. Results showed that superdosing phytase increased BW and FI at42 days of age(P < 0.05) and xylanase improved FCR(P < 0.05). Xylanase and phytase also positively influenced carcass yield and breast weight, respectively. Overall, inclusion of superdosing phytase increased transit time when included in a diet containing xylanase, and no change with protease inclusion. In conclusion, the beneficial effects of xylanase, protease and superdosing phytase in broiler performance were not additive. This limitation is likely not related to the lack of efficacy of any one of the individual enzymes but to a limitation of the bird to respond additively to successive additions of enzymes.展开更多
基金supported by National University Student Innovation Program(111028508)supported by NSC Grant NSC 101-2115-M-034-001+1 种基金supported by NSFC(11371271)supported by the Priority Academic Program Development of Jiangsu Higher Education Institutions
文摘The goal of this paper is to investigate topological conditional pressure of a continuous transformation as defined for sub-additive potentials. This study presents a vari- ational inequality for sub-additive topological conditional pressure on a closed subset, which is the other form of the variational principle for the sub-additive topological pressure pre- sented by Cao, Feng, and Huang in [9]. Moreover, under some additional assumptions, this result can be generalized to the non-compact case.
基金The NSF(11471114,11671208,11431012 and 11271191)of Chinathe National Basic Research Program(2013CB834100)of China(973 Program)
文摘We define the topological tail pressure and the conditional pressure for asymptotically sub-additive continuous potentials on topological dynamical systems and obtain a variational principle for the topological tail pressure without any additional assumptions.
基金Supported by the National Natural Science Foundation of China（11361064）
文摘In this paper, we will construct a new class of subadditive set-valued maps and use Cantor theorem to prove that the set-valued map has an unique additive selection map when the set-valued map satisfies some certain conditions, and then compare the obtained result with the well-known results.
文摘The aim of this paper is to extend the semi-uniform ergodic theorem and semi-uniform sub-additive ergodic theorem to skew-product quasi-flows. Furthermore, more strict inequalities about these two theorems are established. By making use of these results, it is feasible to get uniform estimation of the Lyapunov exponent of some special systems even under non-uniform hypotheses
基金Supported by NSFC(Grant No.11471056)Foundation and Frontier Research Program of Chongqing(Grant No.cstc2016jcyjA0312)
文摘In this paper, we give some definitions of the topological tail pressures for sub-additive potentials and prove that they are equivalent if the potentials are continuous. Under some assumptions, we get a variational principle which exhibits the relationship between topological tail pressure and measure-theoretic tail entropy. Finally, we define a new measure-theoretic tail pressure for sub-additive potentials and some interesting properties of it are obtained.
基金supported by NSFC (Grant No. 11501066)Department of Education in Chongqing City (Grant Nos. KJQN201900724 and KJQN202100722)+2 种基金supported by Natural Science Foundation of Chongqing,China (Grant No. cstc2021jcyj-msxmX1042)Chongqing Key Laboratory of Analytic Mathematics and Applications in Chongqing Universitysupported by NSFC(Grant Nos. 11871120 and 11671093)
文摘In this paper,we study unstable topological pressure for C^(1)-smooth partially hyperbolic diffeomorphisms with sub-additive potentials.Moreover,without any additional assumption,we have established the expected variational principle which connects this unstable topological pressure and the unstable measure theoretic entropy,as well as the corresponding Lyapunov exponent.
基金This study is supported by the National Natural Science Foundation of China(Grant No.71501065,71221001,71790593,71572055,71573077 and 71850012).
文摘Behavioral studies have revealed the sub-additive discounting pattern,which is at odds with the prevailing hyperbolic discounting framework that explains intertemporal choices.In this study,we demonstrate that completely and partially sophisticated individuals who are aware of their shifting preferences over time may exhibit sub-additive discounting behaviors.More importantly,these behaviors are not determined by whether an individual has hyperbolic time preferences or not.Instead,we show that the choices of reference points and partial projection bias may be the underlying drivers of the observed sub-additive discounting.
文摘The interaction of xylanase, protease and superdosing(1,500 FTU/kg) phytase in a 2×2×2 factorial arrangement was studied in broilers fed sorghum-based diets. A total of 2,800 one-day-old unsexed Ross308 chicks were housed in 56 pens with 50 birds per pen, with or without inclusion of xylanase, protease and phytase, totaling 8 treatments and 7 replicates per treatment. Body weight(BW) and feed intake(FI)were measured at 21 and 42 days of age, and mortality corrected feed conversion ratio(FCR) was calculated for each period and cumulatively. Tibia ash and carcass yield were determined in 2 birds per replicate at 21 and 42 days of age, respectively. Digesta transit time was determined at 21, 28, 35 and 42 days of age using 5 birds per replicate. Results showed that superdosing phytase increased BW and FI at42 days of age(P < 0.05) and xylanase improved FCR(P < 0.05). Xylanase and phytase also positively influenced carcass yield and breast weight, respectively. Overall, inclusion of superdosing phytase increased transit time when included in a diet containing xylanase, and no change with protease inclusion. In conclusion, the beneficial effects of xylanase, protease and superdosing phytase in broiler performance were not additive. This limitation is likely not related to the lack of efficacy of any one of the individual enzymes but to a limitation of the bird to respond additively to successive additions of enzymes.
