## Stabilizing Characters in DnD 5th Ed

Can I stabilize someone by simply rolling a DC10 Wisdom check if i dont have the Medicine Skill or any othe healing related equipment or abilities?

## Stabilizing an open book with Anosov piece

It was proven by Colin and Honda in Stabilizing the monodromy of an open book decomposition that any diffeomorphism can be made pseudo-Anosov and right-veering after a series of positive stabilizations.

My question goes a bit in the opposite direction:

Let $$\phi:S \to S$$ be a diffeomorphism of an oriented compact surface with boundary such that $$\phi|_{\partial S}= id$$ and such that $$\phi$$ is pseudo-periodic (it does not contain any pseudo-anosov piece in its Nielsen-Thurson decomposition). Suppose that $$\phi$$ can be destabilized, that is, there exist a simple closed curve $$c \subset S$$ such that $$\phi= t_{c}\circ \tilde{\phi}$$ where $$t_c$$ is a right-handed Dehn twist around c and $$\tilde{\phi}$$ fixes an arc (the co-core of the handle used for stabilizing) whose geometric intersection number with c is $$1$$.

Can we be sure that $$\tilde{\phi}$$ is also pseudo-periodic? Does stabilization preserve pseudo-Anosov-ness somehow?.

## What analysis / algorithm helps stabilizing the fit of correlated parameters (but not colinear)?

I have many curves that I want to fit using a convolution of some functions. These functions include Weibull distributions with 2 parameters lambda and k, as well as a function B(t) such as measured curves to fit to model = F(lambda1, k1, kambda2, k2) + B(t)

The main problem here is that even if the lambda’s, k’s and B are not colinear, they can be “kind of” substituted and the optimization can lead to different local minima, with a close final error, but parameters not close at all.

This is a problem because I intend to interpret the value of these parameters as natural characteristics of the objects I observe.

Our actual approach is to minimize the number of parameters, i.e. fixing some of the lambda’s and k’s, as we would do if there were a function linking them. However this is arbitrary + this is a sacrifice as I can not interpret this parameters value anymore.

So question : is there a method / analysis / related problem / science paper dealing with this problem of unstable optimization when parameters are not exactly perpendicular degrees of liberty ?