The Experts below are selected from a list of 123 Experts worldwide ranked by ideXlab platform
Charles Tresser - One of the best experts on this subject based on the ideXlab platform.
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The set of maps $$F_{a,b} :x \mapsto x + a + \tfrac{b}{{2\pi }}$$ sin(2πx) with any Given Rotation interval is contractiblewith any Given Rotation interval is contra
Communications in Mathematical Physics, 1995Co-Authors: Adam Epstein, Linda Keen, Charles TresserAbstract:Consider the two-parameter family of real analytic maps $$F_{a,b} :x \mapsto x + a + \tfrac{b}{{2\pi }}$$ sin(2π x ) which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval I , the set of maps F _ a,b whose Rotation interval is I , form a contractible set.
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the set of maps f_ ɑ b x x ɑ b 2π sin 2πx with any Given Rotation interval is contractible
Communications in Mathematical Physics, 1995Co-Authors: Adam Epstein, Linda Keen, Charles TresserAbstract:Consider the two-parameter family of real analytic maps F_(ɑ,b):x↦x+ɑ+b/2π sin(2πx) which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval I, the set of maps F_(ɑ,b) whose Rotation interval is I, form a contractible set.
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The set of maps F_{a,b}: x -> x+a+{b/{2 pi}} sin(2 pi x) with any Given Rotation interval is contractible
arXiv: Dynamical Systems, 1994Co-Authors: Adam L. Epstein, Linda Keen, Charles TresserAbstract:Consider the two-parameter family of real analytic maps $F_{a,b}:x \mapsto x+ a+{b\over 2\pi} \sin(2\pi x)$ which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval $I$, the set of maps $F_{a,b}$ whose Rotation interval is $I$, form a contractible set.
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the set of maps f_ a b x x a b 2 pi sin 2 pi x with any Given Rotation interval is contractible
arXiv: Dynamical Systems, 1994Co-Authors: Adam L. Epstein, Linda Keen, Charles TresserAbstract:Consider the two-parameter family of real analytic maps $F_{a,b}:x \mapsto x+ a+{b\over 2\pi} \sin(2\pi x)$ which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval $I$, the set of maps $F_{a,b}$ whose Rotation interval is $I$, form a contractible set.
Adam Epstein - One of the best experts on this subject based on the ideXlab platform.
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The set of maps $$F_{a,b} :x \mapsto x + a + \tfrac{b}{{2\pi }}$$ sin(2πx) with any Given Rotation interval is contractiblewith any Given Rotation interval is contra
Communications in Mathematical Physics, 1995Co-Authors: Adam Epstein, Linda Keen, Charles TresserAbstract:Consider the two-parameter family of real analytic maps $$F_{a,b} :x \mapsto x + a + \tfrac{b}{{2\pi }}$$ sin(2π x ) which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval I , the set of maps F _ a,b whose Rotation interval is I , form a contractible set.
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the set of maps f_ ɑ b x x ɑ b 2π sin 2πx with any Given Rotation interval is contractible
Communications in Mathematical Physics, 1995Co-Authors: Adam Epstein, Linda Keen, Charles TresserAbstract:Consider the two-parameter family of real analytic maps F_(ɑ,b):x↦x+ɑ+b/2π sin(2πx) which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval I, the set of maps F_(ɑ,b) whose Rotation interval is I, form a contractible set.
Linda Keen - One of the best experts on this subject based on the ideXlab platform.
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The set of maps $$F_{a,b} :x \mapsto x + a + \tfrac{b}{{2\pi }}$$ sin(2πx) with any Given Rotation interval is contractiblewith any Given Rotation interval is contra
Communications in Mathematical Physics, 1995Co-Authors: Adam Epstein, Linda Keen, Charles TresserAbstract:Consider the two-parameter family of real analytic maps $$F_{a,b} :x \mapsto x + a + \tfrac{b}{{2\pi }}$$ sin(2π x ) which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval I , the set of maps F _ a,b whose Rotation interval is I , form a contractible set.
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the set of maps f_ ɑ b x x ɑ b 2π sin 2πx with any Given Rotation interval is contractible
Communications in Mathematical Physics, 1995Co-Authors: Adam Epstein, Linda Keen, Charles TresserAbstract:Consider the two-parameter family of real analytic maps F_(ɑ,b):x↦x+ɑ+b/2π sin(2πx) which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval I, the set of maps F_(ɑ,b) whose Rotation interval is I, form a contractible set.
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The set of maps F_{a,b}: x -> x+a+{b/{2 pi}} sin(2 pi x) with any Given Rotation interval is contractible
arXiv: Dynamical Systems, 1994Co-Authors: Adam L. Epstein, Linda Keen, Charles TresserAbstract:Consider the two-parameter family of real analytic maps $F_{a,b}:x \mapsto x+ a+{b\over 2\pi} \sin(2\pi x)$ which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval $I$, the set of maps $F_{a,b}$ whose Rotation interval is $I$, form a contractible set.
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the set of maps f_ a b x x a b 2 pi sin 2 pi x with any Given Rotation interval is contractible
arXiv: Dynamical Systems, 1994Co-Authors: Adam L. Epstein, Linda Keen, Charles TresserAbstract:Consider the two-parameter family of real analytic maps $F_{a,b}:x \mapsto x+ a+{b\over 2\pi} \sin(2\pi x)$ which are lifts of degree one endomorphisms of the circle. The purpose of this paper is to provide a proof that for any closed interval $I$, the set of maps $F_{a,b}$ whose Rotation interval is $I$, form a contractible set.
Yuanhao Huang - One of the best experts on this subject based on the ideXlab platform.
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Given Rotation based generalized eigenvalue decomposition processor for mu mimo precoding
International Symposium on Circuits and Systems, 2019Co-Authors: Zaofu Yang, Jungchun Chi, Jenwei Liang, Chiaoen Chen, Yuanhao HuangAbstract:Multi-user multiple-input multiple-output (MU-MIMO) is an important transmission technique for wireless communication systems, which increases spectral efficiency by transmitting data to several users at the same time and frequency band. The main design issue for the MU-MIMO system is to suppress co-channel interference among all users by using appropriate MIMO precoding technique. Generalized eigenvalue decomposition (GEVD) is an inevitable and high-complexity processing unit in the leakage-based precoding system with multi-antenna users. This paper presents a Givens Rotation-based algorithm for hardware implementation, which can be realized by only coordinate Rotation digital computer (CORDIC) processors. The proposed GEVD processor was designed for the MU-MIMO mode in the IEEE 802.11ac system. It supports eight transmitting antennas at the base station and two receiving antennas at each of four users. The GEVD processor was designed and implemented by using a TSMC 40-nm process technology. The chip synthesis results show that the proposed GEVD processor achieves a user throughput of 0.98 M matrix/sec/user, equivalent to 0.25 M channel matrices/sec, conforming to the IEEE 802.11ac standard.
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ISCAS - Given-Rotation-Based Generalized Eigenvalue Decomposition Processor for MU-MIMO Precoding
2019 IEEE International Symposium on Circuits and Systems (ISCAS), 2019Co-Authors: Zaofu Yang, Jungchun Chi, Jenwei Liang, Chiaoen Chen, Yuanhao HuangAbstract:Multi-user multiple-input multiple-output (MU-MIMO) is an important transmission technique for wireless communication systems, which increases spectral efficiency by transmitting data to several users at the same time and frequency band. The main design issue for the MU-MIMO system is to suppress co-channel interference among all users by using appropriate MIMO precoding technique. Generalized eigenvalue decomposition (GEVD) is an inevitable and high-complexity processing unit in the leakage-based precoding system with multi-antenna users. This paper presents a Givens Rotation-based algorithm for hardware implementation, which can be realized by only coordinate Rotation digital computer (CORDIC) processors. The proposed GEVD processor was designed for the MU-MIMO mode in the IEEE 802.11ac system. It supports eight transmitting antennas at the base station and two receiving antennas at each of four users. The GEVD processor was designed and implemented by using a TSMC 40-nm process technology. The chip synthesis results show that the proposed GEVD processor achieves a user throughput of 0.98 M matrix/sec/user, equivalent to 0.25 M channel matrices/sec, conforming to the IEEE 802.11ac standard.
Lin Wang - One of the best experts on this subject based on the ideXlab platform.
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Destruction of Invariant Circles for Gevrey Area-Preserving Twist Map
Journal of Dynamics and Differential Equations, 2014Co-Authors: Lin WangAbstract:In this paper, we show that for exact area-preserving twist maps on annulus, the invariant circles with a Given Rotation number can be destroyed by arbitrarily small Gevrey-\(\alpha \) perturbations of the integrable generating function in the \(C^r\) topology with \(r 1\).
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Destruction of invariant circles for Gevrey area-preserving twist maps
arXiv: Dynamical Systems, 2014Co-Authors: Lin WangAbstract:In this paper, we show that for exact area-preserving twist maps on annulus, the invariant circles with a Given Rotation number can be destroyed by arbitrarily small Gevrey-$\alpha$ perturbations of the integrable generating function in the $C^r$ topology with $r 1$.