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Ramsey theory over partitions I: Positive Ramsey relations from forcing axioms
In this series of papers we advance Ramsey theory over partitions. In this part, a correspondence between anti-Ramsey properties of partitions and...
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Identification of the Household Behavior Modeling Based on Modified Ramsey Model
AbstractBased on a modified Ramsey model we present the consumer behavior of the households. The impact of the large amount of the households allows...
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On the Ramsey–Cass–Koopmans Problem for Consumer Choice
In this paper, we examine the classical (so-called unrealistic) Ramsey–Cass–Koopmans model. For the corresponding differential equation, we apply the...
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Ramsey numbers of sparse digraphs
Burr and Erdős in 1975 conjectured, and Chvátal, Rödl, Szemerédi and Trotter later proved, that the Ramsey number of any bounded degree graph is...
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Ramsey Properties of Products and Pullbacks of Categories and the Grothendieck Construction
In this paper we provide purely categorical proofs of two important results of structural Ramsey theory: the result of M. Sokić that the free product...
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Three Early Problems on Size Ramsey Numbers
The size Ramsey number of a graph H is defined as the minimum number of edges in a graph G such that there is a monochromatic copy of H in every...
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The Man Behind the Theory: Frank Plumpton Ramsey
Who was “Ramsey,” the man behind the theory named for him by others?
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Big Ramsey Degrees and Forbidden Cycles
Using the Carlson–Simpson theorem, we give a new general condition for a structure in a finite binary relational language to have finite big Ramsey...
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Ramsey property and block oscillation stability on normalized sequences in Banach spaces
A well-known application of the Ramsey Theorem is the proof of the Brunel–Sucheston Theorem. Based on this application, as an intermediate step, we...
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Model Theory of Nonstandard Structures with Applications
Every infinite mathematical structure \( \mathcal{M} \) has...
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On the topological dynamics of automorphism groups: a model-theoretic perspective
We give a model-theoretic treatment of the fundamental results of Kechris-Pestov-Todorčević theory in the more general context of automorphism groups...
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Projection Method for Infinite-Horizon Economic Growth Problems
A projection method is proposed for infinite-horizon economic growth problems. Exponentially discounted orthogonal Laguerre polynomials are used as...
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Measures on perfect e-free PAC fields
We construct measures on definable sets in e -free perfect PAC fields, as well as on perfect PAC fields whose absolute Galois groups are free pro- p of...
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A Review of Tip** Points and Precaution using HJB equations
This paper analyzes three models in environmental economics with the property that tip** can occur in the ecological part of the model: the...
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Ramsey theory for highly connected monochromatic subgraphs
An infinite graph is highly connected if the complement of any subgraph of smaller size is connected. We consider weaker versions of Ramsey’s Theorem...
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Probability Models in Statistical Data Analysis: Uses, Interpretations, Frequentism-as-Model
The application of mathematical probability theory in statistics is quite controversial. Controversies regard both the interpretation of probability...
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Analysis of Mechanisms of Production Investment Stimulation in an Imperfect Capital Market Based on a Mathematical Model
AbstractThe problem of renewed market investment in the Russian real economy is closely related to the business environment state in the imperfect...
