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Some problems in harmonic analysis and probabilistic potential theory [PDF]
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
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Probabilistic Methods in Number Theory: Recent Developments [PDF]
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
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Potential theory with multivariate kernels [PDF]
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
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Quantum potential theory [PDF]
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
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PROBABILISTIC APPROACH IN POTENTIAL THEORY TO THE EQUILIBRIUM PROBLEM [PDF]
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.
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Bifurcation Analysis and Probabilistic Energy Landscapes of Two-Component Genetic Network
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
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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
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Toward a kinetic-based probabilistic time geography [PDF]
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
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Computational and topological properties of neural networks by means of graph-theoretic parameters
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
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Formation, Detection, and Modeling of Submerged Oil: A Review
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
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