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A Dimension, Dimension Modules, and Markov Chains

Proceedings of the London Mathematical Society, 1983
The author continues his joint work with \textit{W. Parry} [Ergodic Theory and Dyn. Syst. 1, 303-335 (1981; Zbl 0485.60063) and Bull. London Math. Soc. 14, 16-27 (1982; Zbl 0481.28015)] extending the theory of topological Markov chains to stochastic Markov chains by introducing a new notion of dimension and thus paralleling \textit{W.
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Bounding the Global Dimension in Terms of the Dimension

Bulletin of the London Mathematical Society, 1985
Let k be a field. The author establishes the long suspected existence of a function f such that gl.dim(A)\(\leq f(n)\) for any n-dimensional k- algebra A of finite global dimension.
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Resistance dimension, random walk dimension and fractal dimension

Journal of Theoretical Probability, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Relations and Differences Between Popper Dimension, Exclusion Dimension and VC-Dimension

2013
A high-level relationPopper dimension—( Exclusion dimension—( VC dimension—( between Karl Popper’s ideas on “falsifiability of scientific theories” and the notion of “overfitting”Overfitting in statistical learning theory can be easily traced. However, it was pointed out that at the level of technical details the two concepts are significantly ...
Seldin, Yevgeny, Scholkopf, Bernhard
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Dimensions of meaning

Proceedings Supercomputing '92, 2003
The representation of documents and queries as vectors in a high-dimensional space is well-established in information retrieval. The author proposes that the semantics of words and contexts in a text be represented as vectors. The dimensions of the space are words and the initial vectors are determined by the words occurring close to the entity to be ...
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Dimension Functions

Mathematische Nachrichten, 1989
AbstractWe give an unified characterization of dimension functions for generalized HAUSDORFF‐BESICOVITCH dimension and metric dimension.
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The journal coverage of Web of Science, Scopus and Dimensions: A comparative analysis

Scientometrics, 2021
Jacqueline Leta   +2 more
exaly  

On dimensions of dimension-bounded linear systems

Science China Information Sciences, 2020
Peixin Zhao   +3 more
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On the dimension of orders

The science reports of the Kanazawa University=金沢大学理科報告, 1955
Not ...
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