Little is known about the magnitude of the effects of lead shot ingestion alone or combined with poisons (e.g., in bait or seeds/granules containing pesticides) on population size, growth, and extinction of non-waterbird avian species that ingest these substances. We used population models to create example scenarios demonstrating how changes in these parameters might affect three susceptible s...

We give very simple algorithms for best play in the simplest kind of Dots and Boxes endgames: those that consist entirely loops long chains. In every such endgame we compute margin victory, assuming both players maximize numbers boxes they capture, specify a move leads to result. improve on results by Buzzard Ciere same problem: our examine only current position do not need consider game tree a...

are present: hydrochloric acid, and progressive erosion of an area of mucosa by the digestive action of the gastric juices. Our understanding of this process makes a fascinating story, linked with the names of two famous patients, Alexis and Tom. Two hundred years ago five processes were said to occur in the stomach during the digestion of a meal. These were concoction, putrefaction, trituratio...

We fix a monic polynomial f(x) ∈ Fq[x] over a finite field and consider the Artin-Schreier-Witt tower defined by f(x); this is a tower of curves · · · → Cm → Cm−1 → · · · → C0 = A, with total Galois group Zp. We study the Newton slopes of zeta functions of this tower of curves. This reduces to the study of the Newton slopes of L-functions associated to characters of the Galois group of this tow...

In this short note, we study the geometry of the eigenvariety parametrising p-adic automorphic forms for GL1 over a number field, as constructed by Buzzard. We show that if K is not totally real and contains no CM subfield, points in this space arising from classical automorphic forms (i.e. algebraic Grössencharacters of K) are not Zariski-dense in the eigenvariety (as a rigid space); but the e...