Using multiplicative ergodic theory we prove two formulae describing the relationships between different joint spectral radii for sets of bounded linear operators acting on a Banach space. In particular we recover a formula recently proved by V. S. Shulman and Yu. V. Turovskĭı using operatortheoretic ideas. As a byproduct of our method we answer a question of J. E. Cohen on the limiting behavio...

From the height of his 90 years of experience, Robert G. Shulman is not just a veteran of World War II, but a world-class biophysicist with a distinguished research career spanning the California Institute of Technology, Bell Labs, and Yale University. A forerunner in the use of nuclear magnetic resonance, Shulman contributed to the study of biochemical processes, founded the Yale Magnetic Reso...

* This is Paper No. 18 of a series on "The Formation of Fibrin and the Coagulation of Blood" from the University of Wisconsin, supported in part by research grants from the National Institutes of Health, Public Health Service. 1 Laki, K., Arch. Biochem. Biophys., 32, 317 (1951). 2 L6rand, L., Nature, 167, 992 (1951). Steiner, R. F., and Laki, K., Arch. Biochem. Biophys., 34, 24 (1951). 4Shulman...

a BBC 2013. Doctor Who chronicles the adventures of an extraterrestrial Time Lord from the planet Gallifrey. Although humanoid, the Doctor differs from you or me in many ways, not the least of which is the ability to navigate through space and time (using the TARDIS, an acronym for time and relative dimension in space, an erstwhile British police box). He also has two hearts and the capacity fo...

A model of the equations of two dimensional problems in a half space, whose surface in free of micropolar thermoelastic medium possesses cubic symmetry as a result of a Mode-I Crack is studied. There acts an initial magnetic field parallel to the plane boundary of the half- space. The crack is subjected to prescribed temperature and stress distribution. The formulation in the context of the Lor...

Lord prof PhD Momtchil Dobrev-Halachev and Prof. Mariola Garibova-DObreva developed 2006 “Theory of degree democracy” justice / injustice /” based on their practice in court, prosecutor's office, state. Momchil Dobrev has been creating Theory Corruption, "Theory the Mafia," Mafia "," Financial Banking Resource Technological Materialism "since 2003"

The present article deals with the two parts: (i)The propagation of plane waves in a microstretch thermoelastic diffusion solid of infinite extent. (ii)The reflection and transmission of plane waves at a plane interface between inviscid fluid half-space and micropolar thermoelastic diffusion solid half-space.It is found that for two-dimensional model, there exist four coupled longitudinal waves...