Results 11 to 20 of about 256,867 (328)
Noncommutative Geometry and Stochastic Processes [PDF]
, 2017 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
A Dimakis +13 more
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Dimensional flow and fuzziness in quantum gravity: Emergence of stochastic spacetime
Nuclear Physics B, 2017 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]
, 2016 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$$ \sum\_{x\_1, \dots , x\_k \in ^k\_{\neq}} f(x\_1, \dots, x\_k) $$ under appropriate integrability assumptions on $f$.
Lachièze-Rey, Raphaël +1 more
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Stochastic Time Evolution, Information Geometry, and the Cramér-Rao Bound [PDF]
Physical Review X, 2020 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
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Stochastic geometry and topology of non-Gaussian fields. [PDF]
Proc Natl Acad Sci U S A, 2012 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
Eikonal equations and pathwise solutions to fully non-linear SPDEs [PDF]
, 2016 We study the existence and uniqueness of the stochastic viscosity solutions of fully nonlinear, possibly degenerate, second order stochastic pde with quadratic Hamiltonians associated to a Riemannian geometry.
Friz, Peter K. +3 more
core +5 more sources
THE WORKSHOPS ON STOCHASTIC GEOMETRY, STEREOLOGY AND IMAGE ANALYSIS
Image Analysis and Stereology, 2017 The workshops on stochastic geometry, stereology and image analysis have been held every second year since 1981. Over the years, the workshops have increased in size and in impact too.
Eva B. Vedel Jensen +1 more
doaj +1 more source
Stochastic axial compressor variable geometry schedule optimisation [PDF]
, 2011 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 +1 more source
An Evaluation of Non-Stochastic Lattice Structures Fabricated Via Electron Beam Melting [PDF]
, 2006 Metal foam structures have many applications and can be used as structural supports, heat exchangers, shock absorbers, and implant materials. Stochastic metal foams having different cell sizes and densities have been commercially available for a number
Cansizoglu, O. +4 more
core +1 more source
The stochastic dynamics of nanoscale mechanical oscillators immersed in a viscous fluid [PDF]
, 2004 The stochastic response of nanoscale oscillators of arbitrary geometry immersed in a viscous fluid is studied. Using the fluctuation-dissipation theorem it is shown that deterministic calculations of the governing fluid and solid equations can be used in
D. Chandler +3 more
core +2 more sources