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- Canadian Institute for Theoretical AstrophysicsCA122 papers
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36 papers · 1 filter
Power series rings and projectivity
R. -O. Buchweitz, H. Flenner
We show that a formal power series ring over a noetherian ring is not a projective module unless is artinian. However, if is local, then $A[[X]…
Computing over the Reals: Foundations for Scientific Computing
Mark Braverman, Stephen Cook
We give a detailed treatment of the ``bit-model'' of computability and complexity of real functions and subsets of R^n, and argue that this is a good way to formalize many problems…
Renormalization in the Henon family, I: universality but non-rigidity
A. de Carvalho, M. Lyubich, M. Martens
In this paper geometric properties of infinitely renormalizable real Hénon-like maps in are studied. It is shown that the appropriately defined renormalizations …
Instability of Equilibrium States for Coupled Heat Reservoirs at Different Temperatures
M. Merkli, M. Mück, I. M. Sigal
We consider quantum systems consisting of a ``small'' system coupled to two reservoirs (called open systems). We show that such a system has no equilibrium states normal with respe…
Some Remarks on the Jacobian Conjecture and Connections with Hilbert's Irreducibility Theorem
Richard J. Lipton, Evangelos Markakis
We make two observations regarding the invertibility of Keller maps. i.e., polynomial maps for which the determinant of their Jacobian matrix is identically equal to 1. In our firs…
Combinatorial rigidity for unicritical polynomials
Artur Avila, Jeremy Kahn, Mikhail Lyubich +1
We prove that any unicritical polynomial which is at most finitely renormalizable and has only repelling periodic points is combinatorially rigid. It implies t…