Results 1 to 10 of about 1,655 (114)

Singular integral operators in the case of a piecewise Lyapunov contour

open access: diamondActa et commentationes: Ştiinţe Exacte şi ale Naturii, 2022
The article attempts to present the results obtained by the author in recent years (in a number of cases with some additions) on the theory of singular integral equations and Riemann boundary value problems in the case of a piecewise Lyapunov contour.
Vasile Neagu
openaire   +3 more sources

Criterion of Uniform Invertibility of Regular Approximations of One-Dimensional Singular Integral Operators on a Piecewise-Lyapunov Contour

open access: bronzeВладикавказский математический журнал, 2019
Работа продолжает исследования в области критериев применимости к полным сингулярным интегральным операторам приближенных методов по семействам сильно аппроксимирующих их операторов с "вырезанной" особенностью ядра Коши. Рассматривается случай полного сингулярного интегрального оператора с непрерывными коэффициентами, действующего в $L\sb{p ...
Abramyan, Anna Vladimirovna   +1 more
openaire   +2 more sources

Structured chaos shapes spike-response noise entropy in balanced neural networks. [PDF]

open access: yesFront Comput Neurosci, 2014
Large networks of sparsely coupled, excitatory and inhibitory cells occur throughout the brain. A striking feature of these networks is that they are chaotic. How does this chaos manifest in the neural code?
Lajoie G, Thivierge JP, Shea-Brown E.
europepmc   +3 more sources

A finite state projection algorithm for the stationary solution of the chemical master equation [PDF]

open access: yes, 2017
The chemical master equation (CME) is frequently used in systems biology to quantify the effects of stochastic fluctuations that arise due to biomolecular species with low copy numbers.
Gupta, Ankit   +2 more
core   +5 more sources

Zonal Jets as Transport Barriers in Planetary Atmospheres [PDF]

open access: yes, 2008
The connection between transport barriers and potential vorticity (PV) barriers in PV-conserving flows is investigated with a focus on zonal jets in planetary atmospheres. A perturbed PV-staircase model is used to illustrate important concepts. This flow
Beron-Vera, F. J.   +5 more
core   +2 more sources

The Hardy space of solutions to first-order elliptic systems [PDF]

open access: yes, 2007
The space indicated in the title is introduced and studiedyesBelgorod State ...
Soldatov, A. P.
core   +1 more source

On the symbol of singular operators in the case of contour with corner points

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii
This paper proposes a method for constructing a symbol for singular integral operators in the case of a piecewise Lyapunov contour. The definition of the symbol function involves numbers that characterize the space in which the research is being carried
Vasile Neagu, Petru Moloșnic
doaj   +1 more source

Perturbation of singular integral operators with piecewise continuous coefficients

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii
In the paper it is shown that the property of singular integral operators with piecewise continuous coefficients to be Noetherian is stable with respect to their perturbation with certain non-compact operators. An example is constructed showing that the
Vasile Neagu, Diana Bîclea
doaj   +1 more source

Moments and Lyapunov exponents for the parabolic Anderson model

open access: yes, 2013
We study the parabolic Anderson model in $(1+1)$ dimensions with nearest neighbor jumps and space-time white noise (discrete space/continuous time). We prove a contour integral formula for the second moment and compute the second moment Lyapunov exponent.
Borodin, Alexei, Corwin, Ivan
core   +1 more source

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