Words without Near-Repetitions

We find an infinite word w on four symbols with the following property: Two occurrences of any block in w must be separated by more than the length of the block. That is, in any subword of w of the form xyx, the length of y is greater than the length of x. This answers a question of C. Edmunds connected to the Burnside problem for groups.The research of the first author was supported by an NSERC Operating Grant. The second author was supported by an NSERC Undergraduate Summer Research Award.https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/words-without-nearrepetitions/F86509D865F222F1FC63ACA8545C069

The human 'pitch center' responds differently to iterated noise and Huggins pitch

A magnetoencephalographic marker for pitch analysis (the pitch onset response) has been reported for different types of pitch-evoking stimuli, irrespective of whether the acoustic cues for pitch are monaurally or binaurally produced. It is claimed that the pitch onset response reflects a common cortical representation for pitch, putatively in lateral Heschl's gyrus. The result of this functional MRI study sheds doubt on this assertion. We report a direct comparison between iterated ripple noise and Huggins pitch in which we reveal a different pattern of auditory cortical activation associated with each pitch stimulus, even when individual variability in structure-function relations is accounted for. Our results suggest it may be premature to assume that lateral Heschl's gyrus is a universal pitch center

A mouse model of autism implicates endosome pH in the regulation of presynaptic calcium entry.

Psychoactive compounds such as chloroquine and amphetamine act by dissipating the pH gradient across intracellular membranes, but the physiological mechanisms that normally regulate organelle pH remain poorly understood. Interestingly, recent human genetic studies have implicated the endosomal Na+/H+ exchanger NHE9 in both autism spectrum disorders (ASD) and attention deficit hyperactivity disorder (ADHD). Plasma membrane NHEs regulate cytosolic pH, but the role of intracellular isoforms has remained unclear. We now find that inactivation of NHE9 in mice reproduces behavioral features of ASD including impaired social interaction, repetitive behaviors, and altered sensory processing. Physiological characterization reveals hyperacidic endosomes, a cell-autonomous defect in glutamate receptor expression and impaired neurotransmitter release due to a defect in presynaptic Ca2+ entry. Acute inhibition of synaptic vesicle acidification rescues release but without affecting the primary defect due to loss of NHE9

Interpreting wde-band neural activity using convolutional neural networks

Rapid progress in technologies such as calcium imaging and electrophysiology has seen a dramatic increase in the size and extent of neural recordings. Even so, interpretation of this data requires considerable knowledge about the nature of the representation and often depends on manual operations. Decoding provides a means to infer the information content of such recordings but typically requires highly processed data and prior knowledge of the encoding scheme. Here, we developed a deep-learning framework able to decode sensory and behavioral variables directly from wide-band neural data. The network requires little user input and generalizes across stimuli, behaviors, brain regions, and recording techniques. Once trained, it can be analyzed to determine elements of the neural code that are informative about a given variable. We validated this approach using electrophysiological and calcium-imaging data from rodent auditory cortex and hippocampus as well as human electrocorticography (ECoG) data. We show successful decoding of finger movement, auditory stimuli, and spatial behaviors – including a novel representation of head direction - from raw neural activity

A national inventory and analysis of US transfer of development rights programs

Transfer of development rights (TDR) programs shift development intensity between land parcels. Jurisdictions, most commonly local municipal or county governments, employ TDR to protect resources such as farmland or historical properties and to encourage infill and redevelopment where deemed appropriate. However, while championed by economists and others seeking to reduce conflicts between land development and preservation, TDR program adoption has varied widely across the US. What demographic, economic, or environmental factors are associated with TDR program establishment? This paper describes a census of 375 TDR programs in the United States, documenting primary program attributes and adoption year and categorizing their functions and typology. Using logistic regression, we analyze program spatial patterns and factors predicting program implementation. We find that areas that are coastal, more liberal, have higher home values, in home-rule states, and in states with state-wide growth management programs, are all significantly more likely to implement TDR programs

Pitch Processing Sites in the Human Auditory Brain

Lateral Heschl's gyrus (HG), a subdivision of the human auditory cortex, is commonly believed to represent a general “pitch center,” responding selectively to the pitch of sounds, irrespective of their spectral characteristics. However, most neuroimaging investigations have used only one specialized pitch-evoking stimulus: iterated-ripple noise (IRN). The present study used a novel experimental design in which a range of different pitch-evoking stimuli were presented to the same listeners. Pitch sites were identified by searching for voxels that responded well to the range of pitch-evoking stimuli. The first result suggested that parts of the planum temporale are more relevant for pitch processing than lateral HG. In some listeners, pitch responses occurred elsewhere, such as the temporo-parieto-occipital junction or prefrontal cortex. The second result demonstrated a different pattern of response to the IRN and raises the possibility that features of IRN unrelated to pitch might contribute to the earlier results. In conclusion, it seems premature to assign special status to lateral HG solely on the basis of neuroactivation patterns. Further work should consider the functional roles of these multiple pitch processing sites within the proposed network

How to overcome the detrimental effects of noise in social interaction: the benefits of generosity

Interpersonal misunderstanding is often rooted in noise, or discrepancies between intended and actual outcomes for an interaction partner due to unintended errors (e.g., not being able to respond to an E-mail because of a local network breakdown). How can one effectively cope with noise in social dilemmas, situations in which self-interest and collective interests are conflicting? Consistent with hypotheses, the present research revealed that incidents of noise exert a detrimental effect on level of cooperation when a partner follows strict reciprocity (i.e., tit for tat) but that this effect can be overcome if a partner behaves somewhat more cooperatively than the actor did in the previous interaction (i.e., tit for tat plus 1). Also, when noise was present, tit for tat plus 1 elicited greater levels of cooperation than did tit for tat, thereby underscoring the benefits of adding generosity to reciprocity in coping with noise in social dilemmas. The Discussion outlines implications of the present work for theories focusing on self-presentation and attribution, communication, and trust and prorelationship behavior

Follow the foreign leader? Why following foreign incumbents is an effective electoral strategy

Previous research suggests that political parties respond to left–right policy positions of successful foreign political parties (“foreign leaders”). We evaluate whether this is an effective electoral strategy: specifically, do political parties gain votes in elections when they respond to successful foreign parties? We argue that parties that follow foreign leaders will arrive at policy positions closer to their own (domestic) median voter, which increases their electoral support. The analysis is based on a two-stage model specification of parties’ vote shares and suggests that following foreign leaders is a beneficial election strategy in national election because it allows them to better identify the position of their own median voter. These findings have important implications for our understanding of political representation, parties’ election strategies, and for policy diffusion

How to cope with "noise" social dilemmas: The benefits of communication

Interactions in social life may be seriously affected by negative noise, whereby actual or perceived behavior is less cooperative than was intended (e.g., arriving late due to an unforeseen traffic jam). The present research examines whether negative noise exerts detrimental effects on impressions and cooperation and whether such effects could be reduced by communication. Consistent with hypotheses, Study 1 revealed that negative noise exerts detrimental effects on both impressions of partners' benign intent and cooperation and that these detrimental effects could be effectively reduced by communication about noise. Study 2 replicated both findings but only for individuals with low trust. Mediation analysis revealed that impressions of benign intent and prosocial interaction goals underlie the positive effects of communication on cooperation