On Local Poincaré via Transportation

A note on some Poincaré inequalities on convex sets by Optimal Transport methods

Mass Transportation Proofs of Free Functional Inequalities, and Free Poincaré Inequalities

This work is devoted to direct mass transportation proofs of families of functional inequalities in the context of one-dimensional free probability, avoiding random matrix approximation. The inequalities include the free form of the transportation, Log-Sobolev, HWI interpolation and Brunn-Minkowski inequalities for strictly convex potentials. Sharp constants and some extended versions are put f...

Perceived Effects of Poor Road Transportation Network on Crop Production in Kaiama Local Government Area of Kwara State, North Central Nigeria

This paper examines the effect of the poor road transportation network on crop production in one of the rural agrarian local government of Kwara State, Nigeria. A well-structured interview schedule was conducted to elicit information from 120 crop farmers using a two-stage sampling technique. Findings from the study revealed that the poor road transportation network in their area had led to a r...

Assessment of the Effect of Rural Transportation Cost On Agricultural Productivity in Ankpa Local Government Area of Kogi State, Nigeria

This study assessed the effect of rural-urban transportation on agricultural produce in Ankpa Local Government Area of Kogi State, Nigeria. Primary data obtained from 90 rural farming households were analysed using frequency count, Ordinary Least Square (OLS) regression analysis and mean score from a 3 point Likert type of scale. Results of the study revealed that majority of the farmers were m...

Poincaré-Lelong equation via the Hodge Laplace heat equation

In this paper, we develop new methods of solving the Poincaré-Lelong equation. It is mainly via the study of the large time asymptotics of a global solution to the Hodge-Laplace heat equation on (1, 1)-forms. The method is shown to be effective through obtaining better, sometimes optimal, existence results for the Poincaré-Lelong equation.