The Dimension Action (DA) model asserts that the visual system is modular, and that each task involves multiple-response mechanisms rather than a unitary-response selection mechanism. The model has been supported by evidence from single-task interference paradigms. We use the psychological refractory period paradigm and show that dual-task performance can also be explained by the DA model. In 6...

We attempt to reconstruct the irreducible unitary representations of the Banach Lie group U0(H) of all unitary operators U on a separable Hilbert space H for which U − I is compact, originally found by Kirillov and Ol’shanskii, through constrained quantization of its coadjoint orbits. For this purpose the coadjoint orbits are realized as Marsden-Weinstein quotients. The unconstrained system, gi...

1. Dual voltage recordings were made from pairs of adjacent, synaptically connected thick tufted layer 5 pyramidal neurones in brain slices of young rat (14-16 days) somatosensory cortex to examine the physiological properties of unitary EPSPs. Pre- and postsynaptic neurones were filled with biocytin and examined in the light and electron microscope to quantify the morphology of axonal and dend...

A bstract We study Jackiw-Teitelboim gravity with positive cosmological constant as a model for de Sitter quantum gravity. focus on the mechanics of at past and future infinity. There is Hilbert space asymptotic states an infinite-time evolution operator between far future. This not unitary, although we find that it acts unitarily subspace up to non-perturbative corrections. These corrections c...

I present several applications of the Dirac inequality to determination isolated unitary representations and associated “spectral gaps” in case unramified principal series. The method works particularly well order attach irreducible large nilpotent orbits (e.g., regular, subregular) Langlands dual complex Lie algebra. results could be viewed as a p-adic analogue Salamanca-Riba’s classification ...

Abstract As a continuation of [9], this paper studies scattered representations $SO(2n+1, {{\mathbb{C}}})$, $Sp(2n, and $SO(2n, {{\mathbb{C}}})$. We describe the Zhelobenko parameters these representations, count their cardinality, determine spin-lowest $K$-types. also disprove conjecture raised in 2015 asserting that unitary dual can be obtained via parabolic induction from irreducible with no...