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21.
The Lie algebra
is “deformed” using twisted derivations satisfying a twisted Leibniz rule. Some particular algebras appearing in this deformation
scheme are discussed.
Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005.
Supported by the Liegrits network
Supported by the Crafoord foundation 相似文献
22.
Algebraic structure of q-deformed Heisenberg algebras is investigated with emphasis on the properties of centralisers of elements of the algebra. 相似文献
23.
Dmitrii Silvestrov Raimondo Manca 《Methodology and Computing in Applied Probability》2017,19(4):1191-1209
New algorithms for computing power moments of hitting times and accumulated rewards of hitting type for semi-Markov processes are developed. The algorithms are based on special techniques of sequential phase space reduction and recurrence relations connecting moments of rewards. Applications are discussed as well as possible generalizations of presented results and examples. 相似文献
24.
Universal properties of the spin Hall effect in ballistic 2D electron systems are addressed. The net spin polarization across the edge of the conductor is second order, approximately lambda2, in spin-orbit coupling constant independent of the form of the boundary potential, with the contributions of normal and evanescent modes each being approximately radical lambda but of opposite signs. This general result is confirmed by the analytical solution for a hard-wall boundary, which also yields the detailed distribution of the local spin polarization. The latter shows fast (Friedel) oscillations with the spin-orbit coupling entering via the period of slow beatings only. Long-wavelength contributions of evanescent and normal modes exactly cancel each other in the spectral distribution of the local spin density. 相似文献
25.
Ilya Silvestrov 《PAMM》2008,8(1):10709-10710
The problem of recovery of seismic parameters of the media via wavefield produced by array of sources and recorded by array of receivers is considered in this work. In order to invert these data and recover elastic parameters one can use the optimization technique based on the gradient–like or Newton–like methods. In seismic applications this approach is known as “Full waveform inversion”. According to it we search for solution which minimizes mean–square deviation of the observed wavefield from the computed one for current values of elastic parameters. Surely convergence is governed by the properties of the Frechet derivative of nonlinear operator that maps medium parameters to the observed data. Thus studying these properties is an important step before development the numerical methods and algorithms of this inversion. For a simple case it can be shown that this derivative is a compact operator so implementation of any Newton–like approach is connected with necessity to resolve ill–posed problem of resolution of the first–order linear integral operational equation. In order to study the main peculiarities of this operator Singular Value Decomposition is applied. Two acquisition systems are dealt with – the offset vertical seismic profiling and cross–well tomography. Numerical results for realistic media are presented and the main differences of inverse problems for these two acquisition are shown. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
26.
27.
Mixed antiplane boundary‐value problem for a piecewise‐homogeneous elastic body with a semi‐infinite interfacial crack 下载免费PDF全文
Iuliia Vasileva Klaus Gürlebeck Vasily Silvestrov 《Mathematical Methods in the Applied Sciences》2016,39(15):4419-4427
Antiplane stress state of a piecewise‐homogeneous elastic body with a semi‐infinite crack along the interface is considered. The longitudinal displacements along one of the crack edges on a finite interval, adjacent to the crack tip, are known. Shear stresses are applied to the body along the crack edges and at infinity. The problem reduces to a Riemann–Hilbert boundary‐value matrix problem with a piecewise‐constant coefficient for a complex potential in the class of symmetric functions. The complex potential is found explicitly using a Gaussian hypergeometric function. The stress state of the body close to the singular points is investigated. The stress intensity factors are determined. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
28.
This paper is concerned with a new class of graded algebras naturally uniting within a single framework various deformations
of the Witt, Virasoro and other Lie algebras based on twisted and deformed derivations, as well as color Lie algebras and
Lie superalgebras.
Presented at the International Colloquium “Integrable Systems and Quantum Symmetries”, Prague, 16–18 June 2005.
Supported by the Liegrits network
Supported by the Crafoord foundation 相似文献
29.
Iterated function systems are considered, where the function to iterate in each step is determined by a regenerative sequence. Ergodic theorems of distributional and law of large numbers types are obtained under log-average contractivity conditions. 相似文献
30.
Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes. 2
Silvestrov Dmitrii Silvestrov Sergei 《Methodology and Computing in Applied Probability》2019,21(3):965-984
Methodology and Computing in Applied Probability - Asymptotic expansions with explicit upper bounds for remainders are given for stationary distributions of nonlinearly perturbed semi-Markov... 相似文献