2,061 research outputs found
Absolutely Continuous Spectrum for the Anderson Model on Some Tree-like Graphs
We prove persistence of absolutely continuous spectrum for the Anderson model
on a general class of tree-like graphs.Comment: Some clarifications were added in the introduction and an extra
appendix was adde
The direct perception hypothesis: perceiving the intention of another’s action hinders its precise imitation
We argue that imitation is a learning response to unintelligible actions, especially to social conventions. Various strands of evidence are converging on this conclusion, but further progress has been hampered by an outdated theory of perceptual experience. Comparative psychology continues to be premised on the doctrine that humans and nonhuman primates only perceive others’ physical ‘surface behavior’, while mental states are perceptually inaccessible. However, a growing consensus in social cognition research accepts the Direct Perception Hypothesis: primarily we see what others aim to do; we do not infer it from their motions. Indeed, physical details are overlooked – unless the action is unintelligible. On this basis we hypothesize that apes’ propensity to copy the goal of an action, rather than its precise means, is largely dependent on its perceived intelligibility. Conversely, children copy means more often than adults and apes because, uniquely, much adult human behavior is completely unintelligible to unenculturated observers due to the pervasiveness of arbitrary social conventions, as exemplified by customs, rituals, and languages. We expect the propensity to imitate to be inversely correlated with the familiarity of cultural practices, as indexed by age and/or socio-cultural competence. The Direct Perception Hypothesis thereby helps to parsimoniously explain the most important findings of imitation research, including children’s over-imitation and other species-typical and age-related variations
Enacting Productive Dialogue: Addressing the Challenge that Non-Human Cognition Poses to Collaborations Between Enactivism and Heideggerian Phenomenology
This chapter uses one particular proposal for interdisciplinary collaboration – in this case, between early Heideggerian phenomenology and enactivist cognitive science – as an example of how such partnerships may confront and negotiate tensions between the perspectives they bring together. The discussion begins by summarising some of the intersections that render Heideggerian and enactivist thought promising interlocutors for each other. It then moves on to explore how Heideggerian enactivism could respond to the challenge of reconciling the significant differences in the ways that each discourse seeks to apply the structures it claims to uncover
Carleman estimates and absence of embedded eigenvalues
Let L be a Schroedinger operator with potential W in L^{(n+1)/2}. We prove
that there is no embedded eigenvalue. The main tool is an Lp Carleman type
estimate, which builds on delicate dispersive estimates established in a
previous paper. The arguments extend to variable coefficient operators with
long range potentials and with gradient potentials.Comment: 26 page
Multiconfiguration electron density function for the ATSP2K-package
A new ATSP2K module is presented for evaluating the electron density function
of any multiconfiguration Hartree-Fock or configuration interaction wave
function in the non relativistic or relativistic Breit-Pauli approximation. It
is first stressed that the density function is not a priori spherically
symmetric in the general open shell case. Ways of building it as a spherical
symmetric function are discussed, from which the radial electron density
function emerges. This function is written in second quantized coupled
tensorial form for exploring the atomic spherical symmetry. The calculation of
its expectation value is performed using the angular momentum theory in
orbital, spin, and quasispin spaces, adopting a generalized graphical
technique. The natural orbitals are evaluated from the diagonalization of the
density matrix
On the AC spectrum of one-dimensional random Schroedinger operators with matrix-valued potentials
We consider discrete one-dimensional random Schroedinger operators with
decaying matrix-valued, independent potentials. We show that if the l^2-norm of
this potential has finite expectation value with respect to the product measure
then almost surely the Schroedinger operator has an interval of purely
absolutely continuous (ac) spectrum. We apply this result to Schroedinger
operators on a strip. This work provides a new proof and generalizes a result
obtained by Delyon, Simon, and Souillard.Comment: (1 figure
Transient rectification of Brownian diffusion with asymmetric initial distribution
In an ensemble of non-interacting Brownian particles, a finite systematic
average velocity may temporarily develop, even if it is zero initially. The
effect originates from a small nonlinear correction to the dissipative force,
causing the equation for the first moment of velocity to couple to moments of
higher order. The effect may be relevant when a complex system dissociates in a
viscous medium with conservation of momentum
Numerical Optimal Transport from 1D to 2D using a Non-local Monge-Amp\`ere Equation
We consider the numerical solution of the optimal transport problem between
densities that are supported on sets of unequal dimension. Recent work by
McCann and Pass reformulates this problem into a non-local Monge-Amp\`ere type
equation. We provide a new level set framework for interpreting this non-linear
PDE. We also propose a novel discretisation that combines carefully constructed
monotone finite difference schemes with a variable-support discrete version of
the Dirac delta function. The resulting method is consistent and monotone.
These new techniques are described and implemented in the setting of 1D to 2D
transport, but can easily be generalised to higher dimensions. Several
challenging computational tests validate the new numerical method
Exploring Biorthonormal Transformations of Pair-Correlation Functions in Atomic Structure Variational Calculations
Multiconfiguration expansions frequently target valence correlation and
correlation between valence electrons and the outermost core electrons.
Correlation within the core is often neglected. A large orbital basis is needed
to saturate both the valence and core-valence correlation effects. This in turn
leads to huge numbers of CSFs, many of which are unimportant. To avoid the
problems inherent to the use of a single common orthonormal orbital basis for
all correlation effects in the MCHF method, we propose to optimize independent
MCHF pair-correlation functions (PCFs), bringing their own orthonormal
one-electron basis. Each PCF is generated by allowing single- and double-
excitations from a multireference (MR) function. This computational scheme has
the advantage of using targeted and optimally localized orbital sets for each
PCF. These pair-correlation functions are coupled together and with each
component of the MR space through a low dimension generalized eigenvalue
problem. Nonorthogonal orbital sets being involved, the interaction and overlap
matrices are built using biorthonormal transformation of the coupled basis sets
followed by a counter-transformation of the PCF expansions.
Applied to the ground state of beryllium, the new method gives total energies
that are lower than the ones from traditional CAS-MCHF calculations using large
orbital active sets. It is fair to say that we now have the possibility to
account for, in a balanced way, correlation deep down in the atomic core in
variational calculations
Role of HRM in knowledge integration: Towards a conceptual framework
Knowledge integration (KI) is a source of sustained competitive advantage for firms. This paper draws upon the knowledge-based view of the firm and ability-motivation-opportunity framework to develop a theoretical and empirical model showing the role of human resource management (HRM) practices in achieving KI. Findings suggest three ability-enhancing practices (training and development, focused hiring, and knowledge questioning values), four motivation-enhancing practices (project-specific performance, competency-based performance management, project-based information dissemination, and information and knowledge sharing forums) and five opportunity-enhancing practices (team working, information and knowledge sharing, verticalisation of business, geographical information and knowledge sharing, and structural change) that facilitate KI. The paper concludes with managerial implications, directions for future research and the study's limitations
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