Recently, Kenyon and Wilson introduced a certain matrix M in order to compute pairing probabilities of what they call the double-dimer model. They showed that the absolute value of each entry of the inverse matrix M−1 is equal to the number of certain Dyck tilings of a skew shape. They conjectured two formulas on the sum of the absolute values of the entries in a row or a column of M−1. In this...

In this paper, we give estimates of the minimal L distance between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions. Résumé. Dans cet article, nous donnons des majorations de la distance minimale L entre la loi de la somme normalisée et sa loi limite ...

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I. INTRODUCTION We humans tend to worry first about our own happiness, then about our families, then about our communities. In times of great stress, such as war or natural disaster, we may focus temporarily on our country but we rarely think about Earth as a whole or the human species as a whole. This narrow perspective, perhaps best exemplified by the American consumer, has led to the environ...

The female and male of Dasybasis (Agelanius) cortesi, new species, is described and illustrated from specimens collected in the National Reserve of Río Clarillo, Cordillera Province, Central Chile. Its relationships to other Dasybasis species are discussed.