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简要介绍概率论中的耦合方法及其在基础数学中的应用。引入新的变测度耦合,以简单的随机微分方程为例,将其应用于建立无穷维Harnack不等式、Bisnut导数公式和分布积分公式。
We report the work “Duality between the pseudoeffective and the movable cone of a projective manifold” of Witt Nystrom, where he proved the transcendental Morse inequality for projective manifolds.
The logarithmic Brunn-Minkowski inequality conjecture is one of the most intriguing challenges in convex geometry since 2012. Notably, this conjectured inequality is stronger than the celebrated Brunn...
I will discuss the Hardy-Littlewood integral inequality with sharp constant on the Heisenberg goup proved by Frank and Lieb. I will outline a simpler proof which bypasses the sophisticated argument fo...
In 2012, Boroczky, Lutwak, Yang, and Zhang posed the log-Brunn-Minkowski conjecture, which represents an enhanced version of the classical Brunn-Minkowski inequality for convex bodies. We will recall ...
China's exports success has implications for regional income inequality, because most of its export products are manufactured in the coastal zone. We propose a value chain-based accounting framework t...
KPZ limit for one-dimensional weakly asymmetric Ginzburg-Landau model was studied by Diehl-Gubinelli-Perkowski in a setting of martingale (energy) solution. Our goal is to apply a path-wise approach b...
Clauser-Horne-Shimony-Holt inequality, an extension of Bell's inequality, is of great importance to modern quantum computation and quantum cryptography. So far, all experimental demonstrations of enta...
Quantum entanglement is of great importance to quantum cryptography and computation. So far, all experimental demonstrations of entanglement are designed to check Bell's inequality which is based on B...
Unmitigated climate change will make the United States poorer and more unequal, according to a new study published today in the journal Science. The poorest third of counties could sust...
The aim of this paper is to measure the spatial accessibility to public health care facilities in Greece. We look at population groups disaggregated by age and socioeconomic characteristics. The purpo...
Health is socio-demographic construct of population. In an urban area social, economic and political systems simultaneously operate within a geographically defined space in which the urban dwellers ac...
Bell inequalities, understood as constraints between classical conditional probabilities, can be derived from a set of assumptions representing a common causal explanation of classical correlations. A...
This paper examines the interactions between household matching, inequality, fertility di®erentials, and per capita income. We develop a model in which agents form households, consume and have ch...

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