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pro vyhledávání: '"Ruelle, David"'
Autor:
Ruelle, David
We claim that human mathematics is only a limited part of the consequences of the chosen basic axioms. Properly human mathematics varies with time but appears to have universal features which we try to analyze. In particular the functioning of the hu
Externí odkaz:
http://arxiv.org/abs/2207.00859
Autor:
Ruelle, David
Let $z$ be the activity of point particles described by classical equilibrium statistical mechanics in ${\bf R}^\nu$. The correlation functions $\rho^z(x_1,\dots,x_k)$ denote the probability densities of finding $k$ particles at $x_1,\dots,x_k$. Lett
Externí odkaz:
http://arxiv.org/abs/2003.08254
Autor:
Ruelle, David
If ${\cal F}$ is a set of subgraphs $F$ of a finite graph $E$ we define a graph-counting polynomial $$ p_{\cal F}(z)=\sum_{F\in{\cal F}}z^{|F|} $$ In the present note we consider oriented graphs and discuss some cases where ${\cal F}$ consists of unb
Externí odkaz:
http://arxiv.org/abs/1806.08665
Autor:
Ruelle, David
This note presents a non-rigorous study of the linear response for an SRB (or `natural physical') measure $\rho$ of a diffeomorphism $f$ in the presence of tangencies of the stable and unstable manifolds of $\rho$. We propose that generically, if $\r
Externí odkaz:
http://arxiv.org/abs/1805.05910
Autor:
Ruelle, David
In earlier papers we have studied the turbulent flow exponents $\zeta_p$, where $\langle|\Delta{\bf v}|^p\rangle\sim\ell^{\zeta_p}$ is the contribution to the fluid velocity at small scale $\ell$. Using ideas of non-equilibrium statistical mechanics
Externí odkaz:
http://arxiv.org/abs/1707.02567