Results 11 to 20 of about 40,428 (287)

Some problems in harmonic analysis and probabilistic potential theory [PDF]

open access: yes, 1980
In 1917 Borel wrote a monograph entitled "Lessons Monogenic functions". In it he described a class of functions which behave, in many ways, like analytic functions. The one big difference between Cauchy's analytic functions and Borel's monogenic functions is the following.
Lyons, TERRY JOHN
openaire   +4 more sources

Probabilistic Methods in Number Theory: Recent Developments [PDF]

open access: yes, 2020
Probabilistic methods have revolutionized the study of number theory, offering powerful tools for understanding the distribution of prime numbers and other fundamental properties of integers.
Bala, Romi, Pandey, Hemant
core   +1 more source

Potential theory with multivariate kernels [PDF]

open access: yes, 2021
In the present paper we develop the theory of minimization for energies with multivariate kernels, i.e. energies, in which pairwise interactions are replaced by interactions between triples or, more generally, $n$-tuples of particles. Such objects, which
Matzke, Ryan   +5 more
core   +2 more sources

Quantum potential theory [PDF]

open access: yes, 2008
This volume contains the revised and completed notes of lectures given at the school "Quantum Potential Theory: Structure and Applications to Physics," held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald from February 26 to March 10, 2007 ...
CIPRIANI, FABIO EUGENIO GIOVANNI   +3 more
core   +1 more source

PROBABILISTIC APPROACH IN POTENTIAL THEORY TO THE EQUILIBRIUM PROBLEM [PDF]

open access: yesAnnales de l'Institut Fourier, 1973
A complete form of the classical theorem by Gauss-M. Riesz-Frostman is given for a large of Markov processes without the usual hypothesis of duality. The idea leads to a probabilistic solution of Robin’s problem and it is based on the last exit time from a transient set.
openaire   +2 more sources

Bifurcation Analysis and Probabilistic Energy Landscapes of Two-Component Genetic Network

open access: yesIEEE Access, 2020
Genetic oscillators play an important role in cell physiology. In this paper, we investigate the global kinetics of an activator-repressor genetic oscillator through the bifurcation analysis and probabilistic energy landscape. The results reveal that the
Qinghua Zhu   +3 more
doaj   +1 more source

Spherical-Symmetry and Spin Effects on the Uncertainty Measures of Multidimensional Quantum Systems with Central Potentials

open access: yesEntropy, 2021
The spreading of the stationary states of the multidimensional single-particle systems with a central potential is quantified by means of Heisenberg-like measures (radial and logarithmic expectation values) and entropy-like quantities (Fisher, Shannon ...
Jesús S. Dehesa
doaj   +1 more source

Toward a kinetic-based probabilistic time geography [PDF]

open access: yes, 2014
Time geography represents a powerful framework for the quantitative analysis of individual movement. Time geography effectively delineates the space–time boundaries of possible individual movement by characterizing movement constraints.
Nathoo, F.S.   +2 more
core   +1 more source

Computational and topological properties of neural networks by means of graph-theoretic parameters

open access: yesAlexandria Engineering Journal, 2023
A neural network is a computer system modeled on the nerve tissue and nervous system. In this sense, neural networks refer to systems of neurons, either organic or artificial in nature.
Asad Khan   +5 more
doaj   +1 more source

Formation, Detection, and Modeling of Submerged Oil: A Review

open access: yesJournal of Marine Science and Engineering, 2020
Submerged oil, oil in the water column (neither at the surface nor on the bottom), was found in the form of oil droplet layers in the mid depths between 900–1300 m in the Gulf of Mexico during and following the Deepwater Horizon oil spill. The subsurface
Chao Ji   +2 more
doaj   +1 more source

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