07/25/2022, 11:49 PM
Could you explain how this is represented?
Would it be something like:
\[
f^t(x) = \int_0^x e^{-tu} \, d\mu(u)\\
\]
I fail to understand what these dynamics mean?
I understand the Manifold comment. So let's assume that the manifold is \([0,\infty)\), and that we are creating some kind of iteration on here. Then we are writing:
\[
f^t(x)\\
\]
How are we using an integral interpretation?
I'm sorry, but I'm curious and I don't have that book or access to any article relating to it. Context would do me well?
Is this an extension of the Borel measure for regular iteration? Where there's a measure \(\mu\) such that:
\[
\sqrt{2} \uparrow \uparrow t = \int_0^\infty e^{-tx}\,d\mu(x)\\
\]
I'm sorry Daniel, but could you please elaborate.
Would it be something like:
\[
f^t(x) = \int_0^x e^{-tu} \, d\mu(u)\\
\]
I fail to understand what these dynamics mean?
I understand the Manifold comment. So let's assume that the manifold is \([0,\infty)\), and that we are creating some kind of iteration on here. Then we are writing:
\[
f^t(x)\\
\]
How are we using an integral interpretation?
I'm sorry, but I'm curious and I don't have that book or access to any article relating to it. Context would do me well?
Is this an extension of the Borel measure for regular iteration? Where there's a measure \(\mu\) such that:
\[
\sqrt{2} \uparrow \uparrow t = \int_0^\infty e^{-tx}\,d\mu(x)\\
\]
I'm sorry Daniel, but could you please elaborate.