منابع مشابه
Geometric Theory of Lattice Vibrations and Specific Heat Mikhail Shubin and Toshikazu Sunada
We discuss, from a geometric standpoint, the specific heat of a solid. This is a classical subject in solid state physics which dates back to a pioneering work by Einstein (1907) and its refinement by Debye (1912). Using a special quantization of crystal lattices and calculating the asymptotic of the integrated density of states at the bottom of the spectrum, we obtain a rigorous derivation of ...
متن کاملQnAs with Neil Shubin.
From the rust-brown sediments of long-dried streams that once rumbled through the rugged terrain of Canada’s Ellesmere Island, a team of paleontologists unearthed in 2004 fossils of a 375 million-year-old species of fish that may have nearly crossed an evolutionary Rubicon. Named Tiktaalik roseae, the nowextinct animal has come to represent an intermediate link between fish and amphibians, its ...
متن کاملShubin final.indd NS OLD.indd
standing the old. This is a reflection of the way evolution works, with some novelties being traceable as modifications of primitive conditions and others having origins that are much less obvious. As a result, the problems of novelty and homology have been deeply intertwined for the past century and a half. It is here, at the interface between these two great concepts of evolutionary biology, ...
متن کاملNovikov -shubin Signatures, I
Torsion objects of von Neumann categories describe the phenomenon ”spectrum near zero” discovered by S. Novikov and M. Shubin. In this paper we classify Hermitian forms on torsion objects of a finite von Neumann category. We prove that any such Hermitian form can be represented as the discriminant form of a degenerate Hermitian form on a projective module. We also find the relation between the ...
متن کاملMikhail Ershov And
We establish a new spectral criterion for Kazhdan's property (T) which is applicable to a large class of discrete groups defined by generators and relations. As the main application, we prove property (T) for the groups ELn(R), where n ≥ 3 and R is an arbitrary finitely generated associative ring. We also strengthen some of the results on property (T) for Kac-Moody groups from [DJ].
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ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2021
ISSN: 0002-9920,1088-9477
DOI: 10.1090/noti2208