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Stochastic axial compressor variable geometry schedule optimisation [PDF]
The design of axial compressors is dictated by the maximisation of flow efficiency at on design conditions whereas at part speed the requirement for operation stability prevails.
Arias, M.+3 more
core +3 more sources
Stochastic geometry and topology of non-Gaussian fields. [PDF]
Gaussian random fields pervade all areas of science. However, it is often the departures from Gaussianity that carry the crucial signature of the nonlinear mechanisms at the heart of diverse phenomena, ranging from structure formation in condensed matter
Beuman TH, Turner AM, Vitelli V.
europepmc +3 more sources
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
A Dimakis+13 more
core +4 more sources
Information Geometry of Nonlinear Stochastic Systems [PDF]
We elucidate the effect of different deterministic nonlinear forces on geometric structure of stochastic processes by investigating the transient relaxation of initial PDFs of a stochastic variable x under forces proportional to -xn (n=3,5,7) and ...
Rainer Hollerbach+2 more
doaj +6 more sources
Homogenization in Stochastic Differential Geometry
It is well known that a diffusion process on Euclidean space can be rigorously considered as the limit of a sequence of transport processes. This idea, which dates at least to Rayleigh's problem of random flight [3] has now received a general treatment by modern probabilistic methods [2, 10].
Mark A. Pinsky
openaire +4 more sources
Dimensional flow and fuzziness in quantum gravity: Emergence of stochastic spacetime
We show that the uncertainty in distance and time measurements found by the heuristic combination of quantum mechanics and general relativity is reproduced in a purely classical and flat multi-fractal spacetime whose geometry changes with the probed ...
Gianluca Calcagni, Michele Ronco
doaj +4 more sources
U-statistics in stochastic geometry [PDF]
This survey will appear as a chapter of the forthcoming book [19]. A U-statistic of order $k$ with kernel $f:\X^k \to \R^d$ over a Poisson process is defined in \cite{ReiSch11} as$$ \sum\_{x\_1, \dots , x\_k \in \eta^k\_{\neq}} f(x\_1, \dots, x\_k ...
Lachèze-Rey, Raphaël+1 more
core +7 more sources
Stochastic Time Evolution, Information Geometry, and the Cramér-Rao Bound [PDF]
We investigate the connection between the time evolution of averages of stochastic quantities and the Fisher information and its induced statistical length.
Sosuke Ito, Andreas Dechant
doaj +3 more sources
On muting mobile terminals for uplink interference mitigation in HetNets—system-level analysis via stochastic geometry [PDF]
We investigate the performance of a scheduling algorithm where the mobile terminals (MTs) may be turned off if they cause a level of interference greater than a given threshold.
Francisco Javier Martín+4 more
doaj +2 more sources
Optimal Design for One-Dimensional ALOHA Ad Hoc Networks Based on Stochastic Geometry
The aims of this paper are to analyze the performance of a one-dimensional ALOHA ad hoc network and to investigate the impact of the access probability of the ALOHA protocol on the network performance.
Seunghee Lee, Ganguk Hwang
doaj +2 more sources