NON-PERIODIC Γ-CONVERGENCE: APPLICATION TO A MAIN EXAMPLE OF A NON-FINER OSCILLATION OPERATOR IN HIGHER DIMENSION

2012 ◽  
Vol 10 (01) ◽  
pp. 67-90
Author(s):  
PABLO PEDREGAL ◽  
HELIA SERRANO
Keyword(s):  
General Setting ◽  
Divergence Form ◽  
Nonlinear Pdes ◽  
Higher Dimension ◽  
Γ Convergence ◽  
Oscillation Operator ◽  
Structural Assumption ◽  
The Way

We generalize, to a higher dimension, a main example of an operator that enjoys the NFO property introduced recently in [13]. It turns out that this issue is intimately connected to Γ-convergence of functionals in a non-periodic, general setting. Under a main structural assumption on the sequence of functionals, the Γ-convergence limit is computable. As a consequence of our analysis, we obtain the generalization just mentioned, opening thus the way to treat the existence for some nonlinear PDEs in divergence form.

scholarly journals Homogenization of Maximal Monotone Vector Fields via Selfdual Variational Calculus

2011 ◽  
Vol 11 (2) ◽  
Author(s):  
Nassif Ghoussoub ◽  
Abbas Moameni ◽  
Ramón Zárate Sáiz
Keyword(s):  
Vector Fields ◽  
Maximal Monotone ◽  
Variational Calculus ◽  
Classical Case ◽  
Divergence Form ◽  
Graph Convergence ◽  
Monotone Vector Fields ◽  
Γ Convergence ◽  
Maximal Monotone Vector Fields ◽  
Periodic Family

AbstractWe use the theory of selfdual Lagrangians to give a variational approach to the homogenization of equations in divergence form, that are driven by a periodic family of maximal monotone vector fields. The approach has the advantage of using Γ-convergence methods for corresponding functionals just as in the classical case of convex potentials, as opposed to the graph convergence methods used in the absence of potentials. A new variational formulation for the homogenized equation is also given.

scholarly journals Decoherence-Free Subspaces for a Quantum Register Interacting with a Spin Environment

2013 ◽  
Vol 20 (04) ◽  
pp. 1350014 ◽  
Author(s):  
Paweł Należyty ◽  
Dariusz Chruściński
Keyword(s):  
Necessary Conditions ◽  
General Setting ◽  
Quantum Spin ◽  
High Dimensional ◽  
Higher Dimension ◽  
Quantum Register ◽  
Measurement Limit ◽  
Sufficient And Necessary Conditions ◽  
Low Dimensional ◽  
Decoherence Free Subspaces

We study a model of a quantum spin register interacting with an environment of spin particles in quantum-measurement limit. In the limit of collective decoherence we obtain the form of state vectors that constitute high-dimensional decoherence-free subspaces (DFS). In a more general setting we present sufficient and necessary conditions for the existence of low-dimensional DFSs that can be used to construct subspaces of higher dimension.

scholarly journals Fields of locally compact quantum groups: Continuity and pushouts

2021 ◽  
pp. 2150064
Author(s):  
Alexandru Chirvasitu
Keyword(s):  
Quantum Groups ◽  
General Setting ◽  
Locally Compact ◽  
Free Products ◽  
Fell Topology ◽  
Text Field ◽  
Locally Compact Quantum Groups ◽  
Compact Quantum Groups ◽  
Continuous Fields ◽  
The Way

We prove that discrete compact quantum groups (or more generally locally compact, under additional hypotheses) with coamenable dual are continuous fields over their central closed quantum subgroups, and the same holds for free products of discrete quantum groups with coamenable dual amalgamated over a common central subgroup. Along the way we also show that free products of continuous fields of [Formula: see text]-algebras are again free via a Fell-topology characterization for [Formula: see text]-field continuity, recovering a result of Blanchard’s in a somewhat more general setting.

scholarly journals Tong-il: some observations on a central problem in the psychology of religion

1975 ◽  
Vol 7 ◽  
pp. 175-188
Author(s):  
Hjalmar Sundén
Keyword(s):  
Holy Spirit ◽  
Psychology Of Religion ◽  
Central Problem ◽  
Higher Dimension ◽  
Truth Telling ◽  
The West ◽  
The World ◽  
The Holy Spirit ◽  
World Christianity ◽  
The Way

Tong-il is the Korean title of a movement known in the West as The Holy Spirit Association for the Unification of World Christianity, or the Union Church. God has formed Tong-il as an instrument of purification and renewal, bringing a new truth telling all men about the purpose of life, the responsibility of man, the way to establish a world of brotherhood and love and make the world into one family. This truth will raise Christianity to a higher dimension and give it the power and zeal which it needs to achieve God's purpose at the time of the second Advent. Tong-il works to renew Christianity, but its ultimate goal is to unite all religions, with its founder as a centre.

scholarly journals Dynamics of post-critically finite maps in higher dimension

2018 ◽  
Vol 40 (2) ◽  
pp. 289-308
Author(s):  
MATTHIEU ASTORG
Keyword(s):  
Regularity Condition ◽  
Transversality Condition ◽  
Periodic Points ◽  
Higher Dimension ◽  
Critical Set ◽  
Kobayashi Hyperbolicity ◽  
Fatou Components ◽  
The Way

We study the dynamics of post-critically finite endomorphisms of $\mathbb{P}^{k}(\mathbb{C})$. We prove that post-critically finite endomorphisms are always post-critically finite all the way down under a regularity condition on the post-critical set. We study the eigenvalues of periodic points of post-critically finite endomorphisms. Then, under a transversality condition and assuming Kobayashi hyperbolicity of the complement of the post-critical set, we prove that the only possible Fatou components are super-attracting basins; thus, partially extending to any dimension is a result of Fornaess–Sibony and Rong holding in the case $k=2$.

A Semantic Approach to Non-prioritized Belief Revision

2020 ◽  
Author(s):  
Elise Perrotin ◽  
Fernando R Velázquez-Quesada
Keyword(s):  
Belief Revision ◽  
Belief Change ◽  
Current Model ◽  
General Setting ◽  
Semantic Approach ◽  
Incoming Information ◽  
The One ◽  
The Right ◽  
The Given ◽  
The Way

Abstract Belief revision is concerned with belief change fired by incoming information. Despite the variety of frameworks representing it, most revision policies share one crucial feature: incoming information outweighs current information and hence, in case of conflict, incoming information will prevail. However, if one is interested in representing the way actual humans revise their beliefs, one might not always want for the agent to blindly believe everything they are told. This manuscript presents a semantic approach to non-prioritized belief revision. It uses plausibility models for depicting an agent’s beliefs, and model operations for displaying the way beliefs change. The first proposal, semantically-based screened revision, compares the current model with the one the revision would yield, accepting or rejecting the incoming information depending on whether the ‘differences’ between these models go beyond a given threshold. The second proposal, semantically-based gradual revision, turns the binary decision of acceptance or rejection into a more general setting in which a revision always occurs, with the threshold used rather to choose ‘the right revision’ for the given input and model.

On a family of torsional creep problems in Finsler metrics

2020 ◽  
pp. 1-18
Author(s):  
Maria Fărcăşeanu ◽  
Mihai Mihăilescu ◽  
Denisa Stancu-Dumitru
Keyword(s):  
Asymptotic Behavior ◽  
Boundary Value Problems ◽  
Distance Function ◽  
Dirichlet Boundary ◽  
Differential Operators ◽  
General Setting ◽  
Divergence Form ◽  
Finsler Metric ◽  
Asymptotic Behavior Of Solutions ◽  
Finsler Metrics

Abstract The asymptotic behavior of solutions to a family of Dirichlet boundary value problems, involving differential operators in divergence form, on a domain equipped with a Finsler metric is investigated. Solutions are shown to converge uniformly to the distance function to the boundary of the domain, which takes into account the Finsler norm involved in the equation. This implies that a well-known result in the analysis of problems modeling torsional creep continues to hold in this more general setting.

Self-sacrifice for in-group's history: A diachronic perspective

2018 ◽  
Vol 41 ◽  
Author(s):  
Maria Babińska ◽  
Michal Bilewicz
Keyword(s):  
Clinical Psychology ◽  
Historical Events ◽  
Emotional Events ◽  
Reciprocal Process ◽  
The Way

AbstractThe problem of extended fusion and identification can be approached from a diachronic perspective. Based on our own research, as well as findings from the fields of social, political, and clinical psychology, we argue that the way contemporary emotional events shape local fusion is similar to the way in which historical experiences shape extended fusion. We propose a reciprocal process in which historical events shape contemporary identities, whereas contemporary identities shape interpretations of past traumas.

What is the purpose of cognition?

2020 ◽  
Vol 43 ◽  
Author(s):  
Aba Szollosi ◽  
Ben R. Newell
Keyword(s):  
Infinite Number ◽  
Human Cognition ◽  
The Way

Abstract The purpose of human cognition depends on the problem people try to solve. Defining the purpose is difficult, because people seem capable of representing problems in an infinite number of ways. The way in which the function of cognition develops needs to be central to our theories.

Peculiarity Parameters

1976 ◽  
Vol 32 ◽  
pp. 233-254
Author(s):  
H. M. Maitzen
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Theoretical Work ◽  
Observational Evidence ◽  
Rotator Model ◽  
Peculiar Behaviour ◽  
Field Spectrum ◽  
Oblique Rotator ◽  
Ap Stars ◽  
The Way

Ap stars are peculiar in many aspects. During this century astronomers have been trying to collect data about these and have found a confusing variety of peculiar behaviour even from star to star that Struve stated in 1942 that at least we know that these phenomena are not supernatural. A real push to start deeper theoretical work on Ap stars was given by an additional observational evidence, namely the discovery of magnetic fields on these stars by Babcock (1947). This originated the concept that magnetic fields are the cause for spectroscopic and photometric peculiarities. Great leaps for the astronomical mankind were the Oblique Rotator model by Stibbs (1950) and Deutsch (1954), which by the way provided mathematical tools for the later handling pulsar geometries, anti the discovery of phase coincidence of the extrema of magnetic field, spectrum and photometric variations (e.g. Jarzebowski, 1960).

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