The Experts below are selected from a list of 225 Experts worldwide ranked by ideXlab platform
Beni Yoshida - One of the best experts on this subject based on the ideXlab platform.
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Soft mode and Interior Operator in the Hayden-Preskill thought experiment
Physical Review D, 2019Co-Authors: Beni YoshidaAbstract:We study the smoothness of the black hole horizon in the Hayden-Preskill thought experiment by using two particular toy models based on variants of Haar random unitary. The first toy model corresponds to the case where the coarse-grained entropy of a black hole is larger than its entanglement entropy. We find that, while the outgoing mode and the remaining black hole are entangled, the Hayden-Preskill recovery cannot be performed. The second toy model corresponds to the case where the system consists of low energy soft modes and high energy heavy modes. We find that the Hayden-Preskill recovery protocol can be carried out via soft modes whereas heavy modes give rise to classical correlations between the outgoing mode and the remaining black hole. We also point out that the procedure of constructing the Interior partners of the outgoing soft mode Operators can be interpreted as the Hayden-Preskill recovery, and as such, the known recovery protocol enables us to explicitly write down the Interior Operators. Hence, while the infalling mode needs to be described jointly by the remaining black hole and the early radiation in our toy model, adding a few extra qubits from the early radiation is sufficient to reconstruct the Interior Operators.
E. Lebrón - One of the best experts on this subject based on the ideXlab platform.
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Linear values for Interior Operator games
European Journal of Operational Research, 2012Co-Authors: A. Jiménez-losada, C. Chacón, E. LebrónAbstract:Abstract Interior Operator games were introduced by Bilbao et al. (2005) as additive games restricted by antimatroids. In that paper several interesting cooperative games were shown as examples of Interior Operator games. The antimatroid is a known combinatorial structure which represents, in the game theory context, a dependence system among the players. The aim of this paper is to study a family of values which are linear functions and satisfy reasonable conditions for Interior Operator games. Two classes of these values are considered assuming particular properties.
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Convexity properties for Interior Operator games
Annals of Operations Research, 2008Co-Authors: J. M. Bilbao, C. Chacón, A. Jiménez-losada, E. LebrónAbstract:Interior Operator games arose by abstracting some properties of several types of cooperative games (for instance: peer group games, big boss games, clan games and information market games). This reason allow us to focus on different problems in the same way. We introduced these games in Bilbao et al. (Ann. Oper. Res. 137:141–160, 2005 ) by a set system with structure of antimatroid, that determines the feasible coalitions, and a non-negative vector, that represents a payoff distribution over the players. These games, in general, are not convex games. The main goal of this paper is to study under which conditions an Interior Operator game verifies other convexity properties: 1-convexity, k -convexity ( k ≥2 ) or semiconvexity. But, we will study these properties over structures more general than antimatroids: the Interior Operator structures. In every case, several characterizations in terms of the gap function and the initial vector are obtained. We also find the family of Interior Operator structures (particularly antimatroids) where every Interior Operator game satisfies one of these properties.
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Values for Interior Operator Games
Annals of Operations Research, 2005Co-Authors: J. M. Bilbao, A. Jiménez-losada, E. Lebrón, C. ChacónAbstract:The aim of this paper is to study a new class of cooperative games called Interior Operator games. These games are additive games restricted by antimatroids. We consider several types of cooperative games as peer group games, big boss games, clan games and information market games and show that all of them are Interior Operator games. Next, we analyze the properties of these games and compute the Shapley, Banzhaf and Tijs values.
A. Jiménez-losada - One of the best experts on this subject based on the ideXlab platform.
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Linear values for Interior Operator games
European Journal of Operational Research, 2012Co-Authors: A. Jiménez-losada, C. Chacón, E. LebrónAbstract:Abstract Interior Operator games were introduced by Bilbao et al. (2005) as additive games restricted by antimatroids. In that paper several interesting cooperative games were shown as examples of Interior Operator games. The antimatroid is a known combinatorial structure which represents, in the game theory context, a dependence system among the players. The aim of this paper is to study a family of values which are linear functions and satisfy reasonable conditions for Interior Operator games. Two classes of these values are considered assuming particular properties.
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Convexity properties for Interior Operator games
Annals of Operations Research, 2008Co-Authors: J. M. Bilbao, C. Chacón, A. Jiménez-losada, E. LebrónAbstract:Interior Operator games arose by abstracting some properties of several types of cooperative games (for instance: peer group games, big boss games, clan games and information market games). This reason allow us to focus on different problems in the same way. We introduced these games in Bilbao et al. (Ann. Oper. Res. 137:141–160, 2005 ) by a set system with structure of antimatroid, that determines the feasible coalitions, and a non-negative vector, that represents a payoff distribution over the players. These games, in general, are not convex games. The main goal of this paper is to study under which conditions an Interior Operator game verifies other convexity properties: 1-convexity, k -convexity ( k ≥2 ) or semiconvexity. But, we will study these properties over structures more general than antimatroids: the Interior Operator structures. In every case, several characterizations in terms of the gap function and the initial vector are obtained. We also find the family of Interior Operator structures (particularly antimatroids) where every Interior Operator game satisfies one of these properties.
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Values for Interior Operator Games
Annals of Operations Research, 2005Co-Authors: J. M. Bilbao, A. Jiménez-losada, E. Lebrón, C. ChacónAbstract:The aim of this paper is to study a new class of cooperative games called Interior Operator games. These games are additive games restricted by antimatroids. We consider several types of cooperative games as peer group games, big boss games, clan games and information market games and show that all of them are Interior Operator games. Next, we analyze the properties of these games and compute the Shapley, Banzhaf and Tijs values.
C. Chacón - One of the best experts on this subject based on the ideXlab platform.
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Linear values for Interior Operator games
European Journal of Operational Research, 2012Co-Authors: A. Jiménez-losada, C. Chacón, E. LebrónAbstract:Abstract Interior Operator games were introduced by Bilbao et al. (2005) as additive games restricted by antimatroids. In that paper several interesting cooperative games were shown as examples of Interior Operator games. The antimatroid is a known combinatorial structure which represents, in the game theory context, a dependence system among the players. The aim of this paper is to study a family of values which are linear functions and satisfy reasonable conditions for Interior Operator games. Two classes of these values are considered assuming particular properties.
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Convexity properties for Interior Operator games
Annals of Operations Research, 2008Co-Authors: J. M. Bilbao, C. Chacón, A. Jiménez-losada, E. LebrónAbstract:Interior Operator games arose by abstracting some properties of several types of cooperative games (for instance: peer group games, big boss games, clan games and information market games). This reason allow us to focus on different problems in the same way. We introduced these games in Bilbao et al. (Ann. Oper. Res. 137:141–160, 2005 ) by a set system with structure of antimatroid, that determines the feasible coalitions, and a non-negative vector, that represents a payoff distribution over the players. These games, in general, are not convex games. The main goal of this paper is to study under which conditions an Interior Operator game verifies other convexity properties: 1-convexity, k -convexity ( k ≥2 ) or semiconvexity. But, we will study these properties over structures more general than antimatroids: the Interior Operator structures. In every case, several characterizations in terms of the gap function and the initial vector are obtained. We also find the family of Interior Operator structures (particularly antimatroids) where every Interior Operator game satisfies one of these properties.
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Values for Interior Operator Games
Annals of Operations Research, 2005Co-Authors: J. M. Bilbao, A. Jiménez-losada, E. Lebrón, C. ChacónAbstract:The aim of this paper is to study a new class of cooperative games called Interior Operator games. These games are additive games restricted by antimatroids. We consider several types of cooperative games as peer group games, big boss games, clan games and information market games and show that all of them are Interior Operator games. Next, we analyze the properties of these games and compute the Shapley, Banzhaf and Tijs values.
G. Richardson - One of the best experts on this subject based on the ideXlab platform.
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Lattice-valued fuzzy Interior Operators
Fuzzy Sets and Systems, 2009Co-Authors: H. Boustique, Ram N. Mohapatra, G. RichardsonAbstract:A category of lattice-valued fuzzy Interior Operator spaces is defined and studied. Axioms are given in order for this category to be isomorphic to the category whose objects consist of all the stratified, lattice-valued, pretopological convergence spaces.