# Analyticity - Explore the Science & Experts | ideXlab

## Analyticity

The Experts below are selected from a list of 288 Experts worldwide ranked by ideXlab platform

### Arnaud Doucet – One of the best experts on this subject based on the ideXlab platform.

• ##### Analyticity of entropy rates of continuous state hidden markov models
IEEE Transactions on Information Theory, 2019
Abstract:

The Analyticity of the entropy and relative entrentropy rates of continuous-state hidden Markov models is studied here. Using the analytic continuation principle and the stability properties of the optimal filter, the Analyticity of these rates is established for analytically parameterized models. The obtained results hold under relatively mild conditions and cover several useful classes of hidden Markov models. These results are relevant for several theoretically and practically important problems arising in statistical inference, system identification and information theory.

• ##### Analyticity of entropy rates of continuous state hidden markov models
arXiv: Information Theory, 2018
Abstract:

The Analyticity of the entropy and relative entrentropy rates of continuous-state hidden Markov models is studied here. Using the analytic continuation principle and the stability properties of the optimal filter, the Analyticity of these rates is shown for analytically parameterized models. The obtained results hold under relatively mild conditions and cover several classes of hidden Markov models met in practice. These results are relevant for several (theoretically and practically) important problems arising in statistical inference, system identification and information theory.

### Vladislav B Tadic – One of the best experts on this subject based on the ideXlab platform.

• ##### Analyticity of entropy rates of continuous state hidden markov models
IEEE Transactions on Information Theory, 2019
Abstract:

The Analyticity of the entropy and relative entropy rates of continuous-state hidden Markov models is studied here. Using the analytic continuation principle and the stability properties of the optimal filter, the Analyticity of these rates is established for analytically parameterized models. The obtained results hold under relatively mild conditions and cover several useful classes of hidden Markov models. These results are relevant for several theoretically and practically important problems arising in statistical inference, system identification and information theory.

• ##### Analyticity of entropy rates of continuous state hidden markov models
arXiv: Information Theory, 2018
Abstract:

The Analyticity of the entropy and relative entropy rates of continuous-state hidden Markov models is studied here. Using the analytic continuation principle and the stability properties of the optimal filter, the Analyticity of these rates is shown for analytically parameterized models. The obtained results hold under relatively mild conditions and cover several classes of hidden Markov models met in practice. These results are relevant for several (theoretically and practically) important problems arising in statistical inference, system identification and information theory.

### Shangkun Weng – One of the best experts on this subject based on the ideXlab platform.

• ##### on Analyticity and temporal decay rates of solutions to the viscous resistive hall mhd system
Journal of Differential Equations, 2016
Co-Authors: Shangkun Weng
Abstract:

Abstract We address the Analyticity and large time decay rates for strong solutions of the Hall-MHD equations. By Gevrey estimates, we show that the strong solution with small initial date in H r ( R 3 ) with r > 5 2 becomes analytic immediately after t > 0 , and the radius of Analyticity will grow like t in time. Upper and lower bounds on the decay of higher order derivatives are also obtained, which extends the previous work by Chae and Schonbek (2013) [4] .

• ##### on Analyticity and temporal decay rates of solutions to the viscous resistive hall mhd system
arXiv: Analysis of PDEs, 2014
Co-Authors: Shangkun Weng
Abstract:

We address the Analyticity and large time decay rates for strong solutions of the Hall-MHD equations. By Gevrey estimates, we show that the strong solution with small initial date in $H^r(\mathbb{R}^3)$ with $r>\f 52$ becomes analytic immediately after $t>0$, and the radius of Analyticity will grow like $\sqrt{t}$ in time. Upper and lower bounds on the decay of higher order derivatives are also obtained, which extends the previous work by Chae and Schonbek (J. Differential Equations 255 (2013), 3971–3982).

### Igor Kukavica – One of the best experts on this subject based on the ideXlab platform.

• ##### the domain of Analyticity of solutions to the three dimensional euler equations in a half space
Discrete and Continuous Dynamical Systems, 2010
Abstract:

We address the problem of Analyticity up to the boundary of solutions to the Euler equations in the half space. We characterize the rate of decay of the real-Analyticity radius of the solution $u(t)$ in terms of exp$\int_{0}^{t}$||$\nabla u(s)$|| L∞ ds , improving the previously known results. We also prove the persistence of the sub-analytic Gevrey-class regularity for the Euler equations in a half space, and obtain an explicit rate of decay of the radius of Gevrey-class regularity.

• ##### the domain of Analyticity of solutions to the three dimensional euler equations in a half space
arXiv: Analysis of PDEs, 2010
Abstract:

We address the problem of Analyticity up to the boundary of solutions to the Euler equations in the half space. We characterize the rate of decay of the real-Analyticity radius of the solution $u(t)$ in terms of $\exp{\int_{0}^{t} \Vert \nabla u(s) \Vert_{L^\infty} ds}$, improving the previously known results. We also prove the persistence of the sub-analytic Gevrey-class regularity for the Euler equations in a half space, and obtain an explicit rate of decay of the radius of Gevrey-class regularity.

• ##### on the radius of Analyticity of solutions to the three dimensional euler equations
Proceedings of the American Mathematical Society, 2008