Entropy and isoperimetry for linear and non-linear group actions
نویسندگان
چکیده
منابع مشابه
on the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولLinear and Nonlinear Group Actions , and The
One of the simplest and most useful notions in mathematics is that of a group action: if G is a group and X is a nonempty set, then an action of G o n X or a G-set structure on X consists of a multiplication operation G X ! X, with the image of a pair g;x written as, say, gx, with the following axioms satissed: 1 1x = x for all x 2 X here 1 2 G is the identity element o f G; 2 ghx = ghx for all...
متن کاملGroup Actions, Linear Transformations, and Flows
It is known that there is a close relationship between matrix groups and linear transformations. The purpose of this exposition is to explore that relationship and to bridge it to the area of applied mathematics. Some known connections between discrete algorithms and differential systems will be used to motivate a larger framework that allows embracing more general matrix groups. Different type...
متن کاملRational Fixed Points for Linear Group Actions
Pietro Corvaja §1 Introduction. A general principle in the theory of diophantine equations asserts that if an equation admits " many " rational solutions, there should be a geometric reason explaining such abundance. We consider here a (multiplicative) semigroup of N ×N matrices with rational entries: we suppose that all of them admit rational eigenvalues and deduce the natural geometrical cons...
متن کاملLinear Quantum Entropy and Non-Hermitian Hamiltonians
We consider the description of open quantum systems with probability sinks (or sources) in terms of general non-Hermitian Hamiltonians. Within such a framework, we study novel possible definitions of the quantum linear entropy as an indicator of the flow of information during the dynamics. Such linear entropy functionals are necessary in the case of a partially Wigner-transformed non-Hermitian ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Groups, Geometry, and Dynamics
سال: 2008
ISSN: 1661-7207
DOI: 10.4171/ggd/48