Results 31 to 40 of about 90,397 (281)
(Quantum) Space-Time as a Statistical Geometry of Fuzzy Lumps and the Connection with Random Metric Spaces [PDF]
, 2000 We develop a kind of pregeometry consisting of a web of overlapping fuzzy lumps which interact with each other. The individual lumps are understood as certain closely entangled subgraphs (cliques) in a dynamically evolving network which, in a certain ...
Alexandroff P +49 more
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A rich hierarchy of functionals of finite types [PDF]
, 2009 We are considering typed hierarchies of total, continuous functionals using complete, separable metric spaces at the base types. We pay special attention to the so called Urysohn space constructed by P. Urysohn. One of the properties of the Urysohn space
D. Lenik: +2 more
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Sequential Completeness for ⊤-Quasi-Uniform Spaces and a Fixed Point Theorem
Mathematics, 2022 We define sequential completeness for ⊤-quasi-uniform spaces using Cauchy pair ⊤-sequences. We show that completeness implies sequential completeness and that for ⊤-uniform spaces with countable ⊤-uniform bases, completeness and sequential completeness ...
Gunther Jäger
doaj +1 more source
Free complete Wasserstein algebras [PDF]
Logical Methods in Computer Science, 2018 We present an algebraic account of the Wasserstein distances $W_p$ on complete metric spaces, for $p \geq 1$. This is part of a program of a quantitative algebraic theory of effects in programming languages.
Radu Mardare +2 more
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Three superposition principles: currents, continuity equations and curves of measures
, 2015 We establish a general superposition principle for curves of measures solving a continuity equation on metric spaces without any smooth structure nor underlying measure, representing them as marginals of measures concentrated on the solutions of the ...
Stepanov, Eugene, Trevisan, Dario
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Probabilistic Computability and Choice [PDF]
, 2015 We study the computational power of randomized computations on infinite objects, such as real numbers. In particular, we introduce the concept of a Las Vegas computable multi-valued function, which is a function that can be computed on a probabilistic ...
Brattka, Vasco +2 more
core +3 more sources
Journal of Function Spaces, 2015 In the framework of complete probabilistic metric spaces and, in particular, in probabilistic Menger spaces, this paper investigates some relevant properties of convergence of sequences to probabilistic α-fuzzy fixed points under some types of ...
M. De la Sen
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Quotient probabilistic normed spaces and completeness results [PDF]
, 2007 We introduce the concept of quotient in PN spaces and give some examples.
Lafuerza-Guillen, Bernardo +2 more
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Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces
Fixed Point Theory and Applications, 2009 We prove a general Ulam-Hyers stability theorem for a nonlinear equation in probabilistic metric spaces, which is then used to obtain stability properties for different kinds of functional equations (linear functional equations, generalized equation of ...
Viorel Radu, Liviu Cădariu
doaj +2 more sources
Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces [PDF]
Surveys in Mathematics and its Applications, 2007 This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metric was introduced by Wilson, Albert and Kelly) generated by probabilistic quasi-pseudo-metric-spaces which are generalization of probabilistic metric ...
Mariusz T. Grabiec +2 more
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