The formation of new motor memories, which is fundamental for efficient performance during adaptation to a visuo-motor rotation, occurs when accurate planning is achieved mostly with feedforward mechanisms. The dynamics of brain activity underlying the switch from feedback to feedforward control is still matter of debate. Based on the results of studies in declarative learning, it is likely tha...

A theta graph is the union of three internally disjoint paths that have the same two distinct end vertices. We show that every graph of order n ≥ 9 and size at least b7n−13 2 c contains two disjoint theta graphs. We also show that every 2-edge-connected graph of order n ≥ 6 and size at least 3n− 5 contains two disjoint cycles, such that any specified vertex with degree at least three belongs to...

Retrieval practice on a subset of previously studied material enhances later memory for practiced material but can inhibit memory for related unpracticed material. The present study examines the effects of prior retrieval practice on evoked (ERPs) and induced (oscillatory power) measures of electrophysiological activity underlying recognition of practiced and unpracticed words. Compared to cont...

Five key topics have been reverberating in hippocampal-entorhinal cortex (EC) research over the past five decades: episodic and semantic memory, path integration ("dead reckoning") and landmark ("map") navigation, and theta oscillation. We suggest that the systematic relations between single cell discharge and the activity of neuronal ensembles reflected in local field theta oscillations provid...

Theta series for exceptional groups have been suggested as a possible description of the eleven-dimensional quantized BPS membrane. We present explicit formulae for these automorphic forms whenever the underlying Lie group G is simply laced. Specifically, we review and construct explicitly the minimal representation of G which generalizes the Schrödinger representation of symplectic groups. The...

Several cortical and diencephalic limbic brain regions incorporate neurons that fire in correlation with the speed of whole-body motion, also known as linear velocity. Besides the field mapping and head-directional information, the linear velocity is among the major signals that guide animal's spatial navigation. Large neuronal populations in the same limbic regions oscillate with theta rhythm ...

Our main result is that the Weil representation of the symplectic group Sp(2n, F ), where F is a non-archimedian local field of residue characteristic 6= 2, can be realized over a number field K. We take an infinite-dimensional complex vector space V such that the Weil representation is given by ρ : Sp(2n, F ) → PGL(V) and we find a K-subspace V0 of V such that ρ(g)(V0) = V0 for all g ∈ Sp(2n, ...

A biased graph consists of a graph G together with a collection of distinguished cycles of G, called balanced, with the property that no theta subgraph contains exactly two balanced cycles. Perhaps the most natural biased graphs on G arise from orienting G and then labelling the edges of G with elements of a group Γ. In this case, we may define a biased graph by declaring a cycle to be balanced...

For any n ∈ N such that 2n ≤ min(p, q), we construct a representation πn of O(p, q) with p+q even as the kernel of a commuting set of n(n+1) 2 number of O(p, q)-invariant differential operators in the space of C∞ functions on an isotropic cone with a distinguished GLn(R)-homogeneity degree. By identifying πn with a certain representation constructed via the formalism of the theta correspondence...

the main goal of this paper is to introduce and study a new class of function via the notions of $e$-$theta$-open sets and $e$-$theta$-closure operator which are defined by özkoç and aslım cite{10} called weakly $er$-open functions and $e$-$theta$-open functions. moreover, we investigate not only some of their basic properties but also their relationships with other types of already existing to...