The ergodic theorems for Markov chains with an arbitrary phase space

2013 ◽  
Vol 88 (3) ◽  
pp. 684-686
Author(s):  
S. V. Nagaev
Keyword(s):  
Phase Space ◽  
Markov Chains ◽  
Ergodic Theorems ◽  
Arbitrary Phase

Coupling and ergodic theorems for Markov chains with damping component

2021 ◽  
Vol 101 ◽  
pp. 243-264
Author(s):  
D. Silvestrov ◽  
S. Silvestrov ◽  
B. Abola ◽  
P. S. Biganda ◽  
C. Engström ◽  
...  
Keyword(s):  
Markov Chains ◽  
Ergodic Theorems

scholarly journals The criteria for the ergodicity of the homogeneous Markov chains with special phase space. III

1972 ◽  
Vol 12 (4) ◽  
pp. 153-174
Author(s):  
Z. Navickas
Keyword(s):  
Phase Space ◽  
Markov Chains

The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: З. Навицкас. Критерии эргодичности однородных марковских цепей в специальном фазовом пространстве. III Z. Navickas. Homogeninių Markovo grandinių, definuotų specialioje fazinėje erdvėje, ergodiškumo kriterijai. III

scholarly journals The criteria for the ergodicity of the homogeneous Markov chains with special phase space. I

1972 ◽  
Vol 12 (3) ◽  
pp. 113-129
Author(s):  
Z. Navickas
Keyword(s):  
Phase Space ◽  
Markov Chains

The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: З. Навицкас. Критерии эргодичности однородных марковских цепей в специальном фазовом пространстве. I Z. Navickas. Homogeninių Markovo grandinių, definuotų specialioje fazinėje erdvėje, ergodiškumo kriterijai. I

scholarly journals Phase space Heisenberg-limited estimation of the average phase shift in a Mach–Zehnder interferometer

2020 ◽  
Vol 18 (01) ◽  
pp. 1941019
Author(s):  
Dario Gatto ◽  
Paolo Facchi ◽  
Vincenzo Tamma
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Zehnder Interferometer ◽  
Exact Results ◽  
Quantum Metrology ◽  
Squeezed Vacuum ◽  
Arbitrary Phase ◽  
Insight Into ◽  
Limited Sensitivity ◽  
Mach Zehnder Interferometer

We address the problem of distributed quantum metrology with a single squeezed-vacuum source by using the formalism of quantum mechanics in phase space. In particular, we demonstrate Heisenberg-limited sensitivity in the measurement of the average of two arbitrary phase shifts in the arms of a Mach–Zehnder interferometer. We obtain exact results for the measurement probability at the interferometer output for any value of the phases, which give us insight into the emergence of Heisenberg-limited sensitivity for periodical values of the phases.

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