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Ramsey theory is a field of mathematics dating back to approximately 100 years. It intersects with various branches of mathematics, such as combinatorics, number theory, geometry, topology and set theory [16]. Loosely speaking, Ramsey theory can be described as the study of structure which is preserved under partitions – an idea succinctly captured by ...
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Efficient Ramsey Equilibria [PDF]
Ramsey equilibrium models with heterogeneous agents and borrowing constraints are shown to yield efficient equilibrium sequences of aggregate capital and consumption.
Becker, Robert, Mitra, Tapan
core
On dual Ramsey theorems for relational structures [PDF]
summary:We discuss dual Ramsey statements for several classes of finite relational structures (such as finite linearly ordered graphs, finite linearly ordered metric spaces and finite posets with a linear extension) and conclude the paper with another ...
Mašulović, Dragan
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ABSTRACT Illegal gold mining has emerged as a major sustainability threat in the Amazon, eroding Indigenous rights, forest integrity, and climate mitigation efforts. This study examines how international market incentives relate to the expansion of illegal mining and associated deforestation within the Yanomami Indigenous Territory (YIT) from 2008 to ...
Shirléia Lago Santos +2 more
wiley +1 more source
ABSTRACT Corporate sustainability in the Global South unfolds under heterogeneous institutional conditions, where firms face simultaneous pressures from global ESG standards and local governance constraints. This study examines the relationship between ESG‐aligned environmental practices and corporate financial performance, considering the moderating ...
Paulo Sérgio Reinert +3 more
wiley +1 more source
Fermat Principle, Ramsey Theory and Metamaterials. [PDF]
Frenkel M, Shoval S, Bormashenko E.
europepmc +1 more source
FinTech and Environmental Sustainability: Evidence From Brazil
ABSTRACT This study explores the dynamic interplay between economic growth and environmental sustainability from a FinTech perspective, using Brazil as a case study. While FinTech's contribution to green transformation, sustainable finance, and resource efficiency has gained increasing attention, a notable lack of empirical research remains to assess ...
Kemal Eyuboglu, Umut Uzar
wiley +1 more source
Around a conjecture of Erdos in graph Ramsey theory
For given graphs G1 and G2 the Ramsey number R(G1;G2), is the smallest positive integer n such that each blue-red edge coloring of the complete graph Kn contains a blue copy of G1 or a red copy of G2. In 1983, Erd}os conjectured that there is an absolute
Leila Maherani, Gholamreza Omidi
doaj
Bipartite Ramsey numbers involving stars, stripes and trees
The Ramsey number R(m, n) is the smallest integer p such that any blue-red colouring of the edges of the complete graph Kp forces the appearance of a blue Km or a red Kn.
Michalis Christou +2 more
doaj +1 more source
Given a metric space $\mathcal{M}$ that contains at least two points, the chromatic number $χ\left(\mathbb{R}^n_{\infty}, \mathcal{M} \right)$ is defined as the minimum number of colours needed to colour all points of an $n$-dimensional space $\mathbb{R}^n_{\infty}$ with the max-norm such that no isometric copy of $\mathcal{M}$ is monochromatic.
Frankl, Nóra +2 more
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