The Experts below are selected from a list of 37497 Experts worldwide ranked by ideXlab platform
Mingtian Zhou - One of the best experts on this subject based on the ideXlab platform.
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Topological Dynamics characterization for LEO satellite networks
Computer Networks, 2007Co-Authors: Junfeng Wang, Mingtian ZhouAbstract:The highly Topological Dynamics characterizes the most fundamental property of satellite networks with respect to terrestrial ones. The manifest feature directs the researches on various aspects of satellite networks, including protocol architecture investigations, routing protocol and reliable transmission control protocol design and enhancement, etc. This paper systematically quantifies the dynamical activities of regular low earth orbit (LEO) satellite network topologies. The number and length of network snapshots are formulated concisely. With this work, it compensates for the simplified Topological assumptions in many LEO satellite network related researches. The thorough understanding of this basic feature not only provides for an accurate quantification of network behavior for researchers on satellite network community, but also could act as a guidance for future satellite constellation design and optimization.
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IPCCC - Topological Dynamics characterization for layered satellite networks
2006 IEEE International Performance Computing and Communications Conference, 2006Co-Authors: Junfeng Wang, Hongxia Zhou, Mingtian ZhouAbstract:The highly Topological Dynamics characterize the most fundamental property of satellite networks contrary to the terrestrial networks. This manifest feature directs the researches on various aspects of satellite networks, including routing and switching architecture selection, routing protocol and reliable transmission control protocol design and enhancement, etc,. The paper quantifies the dynamical activates of layered satellite network topologies. The number and length of network snapshots of one-layered satellite constellations are formulated concisely. The snapshot distributions of typical multi-layered constellations are also evaluated. With this work, it compensates for the simplified Topological assumptions in many satellite network related investigations. The thorough understanding of this basic feature not only provides for an accurate quantification of network behavior, but also guides constellation design for future satellite networks.
Junfeng Wang - One of the best experts on this subject based on the ideXlab platform.
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Topological Dynamics characterization for LEO satellite networks
Computer Networks, 2007Co-Authors: Junfeng Wang, Mingtian ZhouAbstract:The highly Topological Dynamics characterizes the most fundamental property of satellite networks with respect to terrestrial ones. The manifest feature directs the researches on various aspects of satellite networks, including protocol architecture investigations, routing protocol and reliable transmission control protocol design and enhancement, etc. This paper systematically quantifies the dynamical activities of regular low earth orbit (LEO) satellite network topologies. The number and length of network snapshots are formulated concisely. With this work, it compensates for the simplified Topological assumptions in many LEO satellite network related researches. The thorough understanding of this basic feature not only provides for an accurate quantification of network behavior for researchers on satellite network community, but also could act as a guidance for future satellite constellation design and optimization.
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IPCCC - Topological Dynamics characterization for layered satellite networks
2006 IEEE International Performance Computing and Communications Conference, 2006Co-Authors: Junfeng Wang, Hongxia Zhou, Mingtian ZhouAbstract:The highly Topological Dynamics characterize the most fundamental property of satellite networks contrary to the terrestrial networks. This manifest feature directs the researches on various aspects of satellite networks, including routing and switching architecture selection, routing protocol and reliable transmission control protocol design and enhancement, etc,. The paper quantifies the dynamical activates of layered satellite network topologies. The number and length of network snapshots of one-layered satellite constellations are formulated concisely. The snapshot distributions of typical multi-layered constellations are also evaluated. With this work, it compensates for the simplified Topological assumptions in many satellite network related investigations. The thorough understanding of this basic feature not only provides for an accurate quantification of network behavior, but also guides constellation design for future satellite networks.
Peter P Varju - One of the best experts on this subject based on the ideXlab platform.
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the structure theory of nilspaces iii inverse limit representations and Topological Dynamics
Advances in Mathematics, 2020Co-Authors: Yonatan Gutman, Freddie Manners, Peter P VarjuAbstract:Abstract This paper forms the third part of a series by the authors [12] , [11] concerning the structure theory of nilspaces. A nilspace is a compact space X together with closed collections of cubes C n ( X ) ⊆ X 2 n , n = 1 , 2 , … , satisfying some natural axioms. Our goal is to extend the structure theory of nilspaces obtained by Antolin Camarena and Szegedy, and to provide new proofs. Our main result is that, under the technical assumption that C n ( X ) is a connected space for all n, then X is isomorphic (in a strong sense) to an inverse limit of nilmanifolds. This is a direct and slight generalization of the main result of Antolin Camarena and Szegedy. We also apply our methods to obtain structure theorems in the setting of Topological Dynamics. Specifically, if H is a group (subject to very mild Topological assumptions) and ( H , X ) is a minimal dynamical system, then we give a simple characterization of the maximal pronilfactor of X. This generalizes the case H = Z , which is a theorem of Host, Kra and Maass, although even in that case we give a significantly different proof.
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the structure theory of nilspaces iii inverse limit representations and Topological Dynamics
arXiv: Dynamical Systems, 2016Co-Authors: Yonatan Gutman, Freddie Manners, Peter P VarjuAbstract:This paper forms the third part of a series by the authors [GMV1,GMV2] concerning the structure theory of nilspaces. A nilspace is a compact space $X$ together with closed collections of cubes $C^n(X)\subseteq X^{2^n}$, $n=1,2,\ldots$, satisfying some natural axioms. Our goal is to extend the structure theory of nilspaces obtained by Antol\'in Camarena and Szegedy, and to provide new proofs. Our main result is that, under the technical assumption that $C^n(X)$ is a connected space for all $n$, then $X$ is isomorphic (in a strong sense) to an inverse limit of nilmanifolds. This is a direct and slight generalization of the main result of Antol\'in Camarena and Szegedy. We also apply our methods to obtain structure theorems in the setting of Topological Dynamics. Specifically, if $H$ is a group (subject to very mild Topological assumptions) and $(H,X)$ is a minimal dynamical system, then we give a simple characterization of the maximal pronilfactor of $X$. This generalizes the case $H = \mathbb{Z}$, which is a theorem of Host, Kra and Maass, although even in that case we give a significantly different proof.
Lionel Nguyen Van Thé - One of the best experts on this subject based on the ideXlab platform.
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A survey on structural Ramsey theory and Topological Dynamics with the Kechris-Pestov-Todorcevic correspondence in mind
Zbornik Radova, 2015Co-Authors: Lionel Nguyen Van ThéAbstract:In 2005, Kechris, Pestov and Todorcevic established a surprising correspondence between structural Ramsey theory and Topological Dynamics. As an immediate consequence, it triggered a new interest for structural Ramsey theory. The purpose of the present paper is to present a self-contained survey of the corresponding developments.
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Structural Ramsey theory with the Kechris-Pestov-Todorcevic correspondence in mind
2013Co-Authors: Lionel Nguyen Van ThéAbstract:The purpose of the present memoir is to present a survey of my work since January 2007. The corresponding material is located at one of the intersection points between combinatorics, Topological Dynamics and logic via the framework of ultrahomogeneous structures and Fraïssé theory. This area has recently known a considerable expansion thanks to two major contributions by Kechris, Pestov and Todorcevic, and by Kechris and Rosendal. My work elaborates on the former and concentrates on two themes: structural Ramsey theory and Topological Dynamics of Polish transformation groups.
Yonatan Gutman - One of the best experts on this subject based on the ideXlab platform.
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the structure theory of nilspaces iii inverse limit representations and Topological Dynamics
Advances in Mathematics, 2020Co-Authors: Yonatan Gutman, Freddie Manners, Peter P VarjuAbstract:Abstract This paper forms the third part of a series by the authors [12] , [11] concerning the structure theory of nilspaces. A nilspace is a compact space X together with closed collections of cubes C n ( X ) ⊆ X 2 n , n = 1 , 2 , … , satisfying some natural axioms. Our goal is to extend the structure theory of nilspaces obtained by Antolin Camarena and Szegedy, and to provide new proofs. Our main result is that, under the technical assumption that C n ( X ) is a connected space for all n, then X is isomorphic (in a strong sense) to an inverse limit of nilmanifolds. This is a direct and slight generalization of the main result of Antolin Camarena and Szegedy. We also apply our methods to obtain structure theorems in the setting of Topological Dynamics. Specifically, if H is a group (subject to very mild Topological assumptions) and ( H , X ) is a minimal dynamical system, then we give a simple characterization of the maximal pronilfactor of X. This generalizes the case H = Z , which is a theorem of Host, Kra and Maass, although even in that case we give a significantly different proof.
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the structure theory of nilspaces iii inverse limit representations and Topological Dynamics
arXiv: Dynamical Systems, 2016Co-Authors: Yonatan Gutman, Freddie Manners, Peter P VarjuAbstract:This paper forms the third part of a series by the authors [GMV1,GMV2] concerning the structure theory of nilspaces. A nilspace is a compact space $X$ together with closed collections of cubes $C^n(X)\subseteq X^{2^n}$, $n=1,2,\ldots$, satisfying some natural axioms. Our goal is to extend the structure theory of nilspaces obtained by Antol\'in Camarena and Szegedy, and to provide new proofs. Our main result is that, under the technical assumption that $C^n(X)$ is a connected space for all $n$, then $X$ is isomorphic (in a strong sense) to an inverse limit of nilmanifolds. This is a direct and slight generalization of the main result of Antol\'in Camarena and Szegedy. We also apply our methods to obtain structure theorems in the setting of Topological Dynamics. Specifically, if $H$ is a group (subject to very mild Topological assumptions) and $(H,X)$ is a minimal dynamical system, then we give a simple characterization of the maximal pronilfactor of $X$. This generalizes the case $H = \mathbb{Z}$, which is a theorem of Host, Kra and Maass, although even in that case we give a significantly different proof.
