The Theory of Theft: An Inspection Game Model of the Stolen Base Play in Baseball

This paper applies the theory of equilibrium in mixed strategies in an inspection game model to describe the strategic interaction in the stolen base play in baseball. A parsimonious simultaneous-move game model offers predictions about how the observable conduct of the teams on offense and defense responds as the characteristics of the players involved change. The theory organizes observations from play-by-play data from Major League Baseball, where highly-motivated, experienced professionals interact in an environment where private information is not significant.mixed strategy, Markov equilibrium, baseball

Cascades and Dissipative Anomalies in Relativistic Fluid Turbulence

We develop first-principles theory of relativistic fluid turbulence at high Reynolds and P\'eclet numbers. We follow an exact approach pioneered by Onsager, which we explain as a non-perturbative application of the principle of renormalization-group invariance. We obtain results very similar to those for non-relativistic turbulence, with hydrodynamic fields in the inertial-range described as distributional or "coarse-grained" solutions of the relativistic Euler equations. These solutions do not, however, satisfy the naive conservation-laws of smooth Euler solutions but are afflicted with dissipative anomalies in the balance equations of internal energy and entropy. The anomalies are shown to be possible by exactly two mechanisms, local cascade and pressure-work defect. We derive "4/5th-law"-type expressions for the anomalies, which allow us to characterize the singularities (structure-function scaling exponents) required for their non-vanishing. We also investigate the Lorentz covariance of the inertial-range fluxes, which we find is broken by our coarse-graining regularization but which is restored in the limit that the regularization is removed, similar to relativistic lattice quantum field theory. In the formal limit as speed of light goes to infinity, we recover the results of previous non-relativistic theory. In particular, anomalous heat input to relativistic internal energy coincides in that limit with anomalous dissipation of non-relativistic kinetic energy

Feeding Habits of Wisconsin\u27s Predominant Lotic Plecoptera, Ephemeroptera, and Trichoptera

Feeding habits of nymphs or larvae of 101 species of Plecoptera, Ephemeroptera, and Trichoptera collected from Wisconsin\u27s streams were determined by examining foregut contents. The percent by volume of animal, live vascular plant, filamentous algae, diatom, and detrital material recovered is reported. Plecoptera in the suborder Filipalpia were herbivoredetritivores, and most in the suborder Setipalpia were carnivores. Exceptions were Isoperla bilineata (Say), an omnivore, and Isoperla signata (Banks) and I. slossonae (Banks), both detritivore-herbivores. Except for omnivore Ephemerella cornuta Morgan, Ephemeroptera were detritivore-herbivores. Feeding habits of Trichoptera larvae were diverse. Species of Rhyacophilidae, Polycentropodidae, and Phyrganeidae were all carnivores, while Hydropsychidae, Leptoceridae, and Brachycentridae were generally omnivores. Species of Glossomatidae, Philopotamidae, Psychomyiidae, Hydroptilidae, Limnephilidae, Lepidostomatidae, Sericostomatidae, and Helicopsychidae were primarily detritivoreherbivores

Cascades and Dissipative Anomalies in Compressible Fluid Turbulence

We investigate dissipative anomalies in a turbulent fluid governed by the compressible Navier-Stokes equation. We follow an exact approach pioneered by Onsager, which we explain as a non-perturbative application of the principle of renormalization-group invariance. In the limit of high Reynolds and P\'eclet numbers, the flow realizations are found to be described as distributional or "coarse-grained" solutions of the compressible Euler equations, with standard conservation laws broken by turbulent anomalies. The anomalous dissipation of kinetic energy is shown to be due not only to local cascade, but also to a distinct mechanism called pressure-work defect. Irreversible heating in stationary, planar shocks with an ideal-gas equation of state exemplifies the second mechanism. Entropy conservation anomalies are also found to occur by two mechanisms: an anomalous input of negative entropy (negentropy) by pressure-work and a cascade of negentropy to small scales. We derive "4/5th-law"-type expressions for the anomalies, which allow us to characterize the singularities (structure-function scaling exponents) required to sustain the cascades. We compare our approach with alternative theories and empirical evidence. It is argued that the "Big Power-Law in the Sky" observed in electron density scintillations in the interstellar medium is a manifestation of a forward negentropy cascade, or an inverse cascade of usual thermodynamic entropy