The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
Andreas Stergiou - One of the best experts on this subject based on the ideXlab platform.
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seeking fixed points in multiple coupling scalar theories in the varepsilon expansion arxiv
Journal of High Energy Physics, 2018Co-Authors: H Osborn, Andreas StergiouAbstract:Fixed points for scalar theories in 4 − e, 6 − e and 3 − e dimensions are discussed. It is shown how a large range of known fixed points for the four Dimensional Case can be obtained by using a general framework with two couplings. The original maximal symmetry, O(N), is broken to various subgroups, both discrete and continuous. A similar discussion is applied to the six Dimensional Case. Perturbative applications of the a-theorem are used to help classify potential fixed points. At lowest order in the e-expansion it is shown that at fixed points there is a lower bound for a which is saturated at bifurcation points.
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seeking fixed points in multiple coupling scalar theories in the varepsilon expansion
arXiv: High Energy Physics - Theory, 2017Co-Authors: H Osborn, Andreas StergiouAbstract:Fixed points for scalar theories in $4-\varepsilon$, $6-\varepsilon$ and $3-\varepsilon$ dimensions are discussed. It is shown how a large range of known fixed points for the four Dimensional Case can be obtained by using a general framework with two couplings. The original maximal symmetry, $O(N)$, is broken to various subgroups, both discrete and continuous. A similar discussion is applied to the six Dimensional Case. Perturbative applications of the $a$-theorem are used to help classify potential fixed points. At lowest order in the $\varepsilon$-expansion it is shown that at fixed points there is a lower bound for $a$ which is saturated at bifurcation points.
C W Therrien - One of the best experts on this subject based on the ideXlab platform.
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a stochastic multirate signal processing approach to high resolution signal reconstruction
International Conference on Acoustics Speech and Signal Processing, 2005Co-Authors: James Scrofani, C W TherrienAbstract:This paper addresses the problem of reconstructing a signal at some high sampling rate from a set of signals sampled at a lower rate and subject to additive noise and distortion. A set of periodically time-varying filters are employed in reconstructing the underlying signal. Results are presented for a one-Dimensional Case involving simulated data, as well as for a two-Dimensional Case involving real image data where the image is processed by rows. In both Cases, considerable improvement is evident after the processing.
H Osborn - One of the best experts on this subject based on the ideXlab platform.
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seeking fixed points in multiple coupling scalar theories in the varepsilon expansion arxiv
Journal of High Energy Physics, 2018Co-Authors: H Osborn, Andreas StergiouAbstract:Fixed points for scalar theories in 4 − e, 6 − e and 3 − e dimensions are discussed. It is shown how a large range of known fixed points for the four Dimensional Case can be obtained by using a general framework with two couplings. The original maximal symmetry, O(N), is broken to various subgroups, both discrete and continuous. A similar discussion is applied to the six Dimensional Case. Perturbative applications of the a-theorem are used to help classify potential fixed points. At lowest order in the e-expansion it is shown that at fixed points there is a lower bound for a which is saturated at bifurcation points.
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seeking fixed points in multiple coupling scalar theories in the varepsilon expansion
arXiv: High Energy Physics - Theory, 2017Co-Authors: H Osborn, Andreas StergiouAbstract:Fixed points for scalar theories in $4-\varepsilon$, $6-\varepsilon$ and $3-\varepsilon$ dimensions are discussed. It is shown how a large range of known fixed points for the four Dimensional Case can be obtained by using a general framework with two couplings. The original maximal symmetry, $O(N)$, is broken to various subgroups, both discrete and continuous. A similar discussion is applied to the six Dimensional Case. Perturbative applications of the $a$-theorem are used to help classify potential fixed points. At lowest order in the $\varepsilon$-expansion it is shown that at fixed points there is a lower bound for $a$ which is saturated at bifurcation points.
Yong Chen - One of the best experts on this subject based on the ideXlab platform.
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jordan decomposition and geometric multiplicity for a class of non symmetric ornstein uhlenbeck operators
Advances in Difference Equations, 2014Co-Authors: Jiying Wang, Yong ChenAbstract:In this paper, we calculate the Jordan decomposition for a class of non-symmetric Ornstein-Uhlenbeck operators with the drift coefficient matrix, being a Jordan block, and the diffusion coefficient matrix, being the identity multiplying a constant. For the 2-Dimensional Case, we present all the general eigenfunctions by mathematical induction. For the 3-Dimensional Case, we divide the calculation of the Jordan decomposition into three steps. The key step is to do the canonical projection onto the homogeneous Hermite polynomials, and then use the theory of systems of linear equations. Finally, we get the geometric multiplicity of the eigenvalue of the Ornstein-Uhlenbeck operator.
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on the jordan decomposition for a class of non symmetric ornstein uhlenbeck operators
arXiv: Probability, 2012Co-Authors: Yong Chen, Ying LiAbstract:In this paper, we calculate the Jordan decomposition (or say, the Jordan canonical form) for a class of non-symmetric Ornstein-Uhlenbeck operators with the drift coefficient matrix being a Jordan block and the diffusion coefficient matrix being identity multiplying a constant. For the 2-Dimensional Case, we present all the general eigenfunctions by the induction. For the 3-Dimensional Case, we divide the calculating of the Jordan decomposition into several steps (the key step is to do the canonical projection onto the homogeneous Hermite polynomials, next we use the theory of systems of linear equations). As a by-pass product, we get the geometric multiplicity of the eigenvalue of the Ornstein-Uhlenbeck operator.
Lajos Molnar - One of the best experts on this subject based on the ideXlab platform.
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spectral order automorphisms on hilbert space effects and observables the 2 Dimensional Case
Letters in Mathematical Physics, 2016Co-Authors: Lajos Molnar, Gergő NagyAbstract:In the earlier paper (Molnar and Semrl in Lett Math Phys 80:239–255, 2007), we described the structure of all spectral order automorphisms of the sets of Hilbert space effects and bounded observables in the Case where the dimension of the underlying Hilbert space is at least 3. The aim of this note is to present a complete description in the missing two-Dimensional Case. We will see that in that Case there is a one-to-one correspondence between the set of all spectral order automorphisms and the set of all bijective maps of pure states together with the set of all strictly increasing bijections of the real unit interval or the real line.
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order automorphisms of hilbert space effect algebras the two Dimensional Case
Journal of Mathematical Physics, 2001Co-Authors: Lajos Molnar, Zsolt PalesAbstract:It is well known that the ⊥-order automorphisms of the effect algebra of a Hilbert space of dimension not less than three are implemented by unitary or antiunitary operators. The aim of this paper is to show that the same assertion also holds true in the two-Dimensional Case.
