Although mind-wandering is common, engaging in task-irrelevant thoughts can have negative functional consequences. We examined whether mind-wandering frequency may be related to falls—a major health-care problem. Seniors completed a sustained attention task and self-reported their current attentional states. Monthly falls reports were collected over 12 months. Falls were associated with an incr...

Mind wandering episodes have been construed as periods of "stimulus-independent" thought, where our minds are decoupled from the external sensory environment. In two experiments, we used behavioral and event-related potential (ERP) measures to determine whether mind wandering episodes can also be considered as periods of "response-independent" thought, with our minds disengaged from adjusting o...

The prospective bias is a salient feature of mind wandering in healthy adults, yet little is known about the temporal focus of children's mind wandering. In the present study, (I) we developed the temporal focus of mind wandering questionnaire for school-age children (TFMWQ-C), a 12-item scale with good test-retest reliability and construct validity. (II) The criterion validity was tested by th...

CONTEXT Mind wandering--defined as a cognitive focus on information that is unrelated to immediate sensory input or the task at hand--is a ubiquitous characteristic of the human condition. When it occurs, the integrity of a wide range of cognitive skills can be compromised. OBJECTIVES The current paper describes the phenomenon of mind wandering, explores its potential role in medical practice...

In a recent review, we suggested that an important aspect of mind-wandering is whether participants are aware that they are off task (Smallwood & Schooler, 2006). We tested this hypothesis by examining the information-processing correlates of mind wandering with and without awareness in a task requiring participants to encode words and detect targets with either a high or a low probability. Tar...

Let f : C → Ĉ be a transcendental meromorphic function. Suppose that the finite part P(f)∩C of the postsingular set of f is bounded, that f has no recurrent critical points or wandering domains, and that the degree of pre-poles of f is uniformly bounded. Then we show that f supports no invariant line fields on its Julia set. We prove this by generalizing two results about rational functions to ...

Let f be a transcendental entire function and let I(f) be the set of points whose iterates under f tend to infinity. We show that I(f) has at least one unbounded component. In the case that f has a Baker wandering domain, we show that I(f) is a connected unbounded set.

W. P. Thurston introduced closed σd-invariant laminations (where σd = z : S → S, d ≥ 2) as a tool in complex dynamics. He defined wandering triangles as triples T ⊂ S such that σ d (T ) consists of three distinct points for all n ≥ 0 and the convex hulls of all the sets σ d (T ) in the plane are pairwise disjoint, and proved that σ2 admits no wandering triangles. We show that for every d ≥ 3 th...

We prove a theorem on structural stability of smooth attractor-repellor endomorphisms of compact manifolds, with singularities. By attractor-repellor, we mean that the non-wandering set of the dynamics f is the disjoint union of a repulsive compact subset with a hyperbolic attractor on which f acts bijectively. The statement of this result is both infinitesimal and dynamical. Up to our knowledg...

In this paper, we propose deep architecture to dynamically learn the most discriminative features from data for both single-cell and object tracking in computational biology and computer vision. Firstly, the discriminative features are automatically learned via a convolutional deep belief network (CDBN). Secondly, we design a simple yet effective method to transfer features learned from CDBNs o...