Stability of the Markov (conservativity) property under perturbations

Kumar Dharmendra; Sinha Kalyan B.; Srivastava Sachi

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Stability of the Markov (conservativity) property under perturbations

机译：Markov（保守）在扰动下的稳定性

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摘要

It is shown that if a Quantum Markov semigroup is "multiplicatively" perturbed under suitable conditions, the resulting minimal semigroup remains Markov (or conservative).

机译：结果表明，如果在合适的条件下，量子马尔可夫半群是“乘法”扰乱的，所得到的最小半群仍然是马尔可夫（或保守的）。

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来源
《Infinite dimensional analysis, quantum probability, and related topics》 |2020年第2期|共20页
作者
Kumar Dharmendra; Sinha Kalyan B.; Srivastava Sachi;
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作者单位

Univ Delhi Satyawati Coll Evening Dept Math Delhi 52 India;

Jawaharlal Nehru Ctr Adv Sci Res Bangalore Karnataka India;

Univ Delhi Dept Math South Campus New Delhi 21 India;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Quantum dynamical semigroups; conservativity; Markov property; perturbations;

机译：量子动态半群;保守;马尔可夫财产;扰动;

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1. Stability of the Markov (conservativity) property under perturbations [J] . Kumar Dharmendra, Sinha Kalyan B., Srivastava Sachi Infinite dimensional analysis, quantum probability, and related topics . 2020,第2期

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2. STABILITY IN IMPULSIVE SYSTEMS WITH MARKOV PERTURBATIONS IN AVERAGING SCHEME. I. AVERAGING PRINCIPLE FOR IMPULSIVE MARKOV SYSTEMS [J] . Ye. F. Tsarkov, V. K. Yasinsky, I.V. Malyk Cybernetics and Systems Analysis . 2010,第6期

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3. Stability and perturbations of countable Markov maps [J] . Jordan Thomas, Munday Sara, Sahlsten Tuomas Nonlinearity . 2018,第4期

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4. pth moment exponential stability of stochastic functional differential systems with Markovian switching and impulsive perturbations [C] . Cheng Pei, Peng Yunjian, Deng Feiqi Proceedings of the 8th IEEE International Conference on Control and Automation . 2010

机译：具有马尔可夫切换和脉冲摄动的随机泛函微分系统的pth矩指数稳定性。
5. Optimal control of dynamical systems with jump Markov perturbations. [D] . Stepanov, Alexey G. 2003

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6. Conservative Mutageneic Perturbations of Amino Acids Connecting Helix 12 in the 1α25(OH)2-D3 Receptor (VDR) to the Ligand Cause Significant Transactivational Effects [O] . Craig M. Bula, June. E. Bishop, Anthony W. Norman -1

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7. Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations [O] . Jiaojiao Ren, Hong Zhu, Shouming Zhong, 2016

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8. Stability Properties of Azimuthally Symmetric Perturbations in an Intense Electron Beam [R] . Uhm, H. S., Lampe, M. 1981

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Stability of the Markov (conservativity) property under perturbations

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