Results 21 to 30 of about 1,509,367 (295)
Noncommutative Geometry and Stochastic Processes [PDF]
The recent analysis on noncommutative geometry, showing quantization of the volume for the Riemannian manifold entering the geometry, can support a view of quantum mechanics as arising by a stochastic process on it. A class of stochastic processes can be devised, arising as fractional powers of an ordinary Wiener process, that reproduce in a proper way
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Stochastic quantization on Lorentzian manifolds
We embed Nelson’s theory of stochastic quantization in the Schwartz-Meyer second order geometry framework. The result is a non-perturbative theory of quantum mechanics on (pseudo-)Riemannian manifolds.
Folkert Kuipers
doaj +1 more source
Recursive Concurrent Stochastic Games [PDF]
. We study Recursive Concurrent Stochastic Games (RCSGs), extending our recent analysis of recursive simple stochastic games [14, 15] to a concurrent setting where the two players choose moves simultaneously and independently at each state.
Mihalis Yannakakis +3 more
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Stochastic Geometry and Telecommunications Networks
Just as queueing theory revolutionized the study of circuit switched telephony in the twentieth century, stochastic geometry is gradually becoming a necessary theoretical tool for modelling and analysis of modern telecommunications systems, in which ...
Sergei Zuyev +3 more
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The Foundations of Stochastic Geometry
We show how to build models of random collections of geometrical objects: lines, circles, line segments, etc. This basic problem in stochastic geometry is solved using the theory of point processes on abstract spaces.
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A tractable closed form approximation of the ergodic rate in Poisson cellular networks
The employment of stochastic geometry for the analysis and design of ultra dense networks (UDNs) has provided significant insights into network densification.
Alexis I. Aravanis +4 more
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Jamik Sumenep Mosque, a heritage site of the Sumenep Kingdom, was built to emphasize the acculturation of Chinese, Islamic, and Madurese cultures. This ethnomathematics research aims to reveal and explore the fractal geometry forms in the gateway of ...
Muhammad Zia Alghar, Marhayati Marhayati
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Stochastic Geometry: Boolean model and random geometric graphs
This paper collects the four contributions which were presented during the session devoted to Stochastic Geometry at the journées MAS 2014.
Calka Pierre +4 more
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Foundations of stochastic geometry and theory of random sets
The first section of this chapter starts with the Buffon problem, which is one of the oldest in stochastic geometry, and then continues with the definition of measures on the space of lines.
Molchanov, Ilya, Ilya Molchanov
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Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source

