The iterated-integral tag has no usage guidance.

**2**

votes

**0**answers

150 views

### How to analytically evaluate this n-dimensional iterated integral?

I would very much appreciate any suggestions and/or pointers to references relevant for the analytic evaluation of the following n-dimensional iterated integral
...

**3**

votes

**1**answer

229 views

### Understand rough path iterated integral and how to compute it numerically?

The "signature" of rough path theory is defined by iterated integral as
$s(k)=\int_{0 \le u_1 \le \cdots \le u_k \le t} \mathrm{d}X_{u_1} \otimes \cdots \otimes \mathrm{d}X_{u_k}$
in witch $X(t)$ is ...

**2**

votes

**0**answers

136 views

### Chen's iterated integrals and free loop space

I recently found out about Chen's iterated integrals for paths in a differentiable manifold, and I was wondering if an analogous construction exists for free loops, i.e. a set of variables one ...

**4**

votes

**0**answers

205 views

### Restriction of iterated integrals

For a smooth manifold $X$, let $B_s(X)$ denote the space of iterated integrals of length at most $s$. Here we consider iterated integrals as functions on the path space $PX$. Fix a base point $x_0$ ...

**14**

votes

**3**answers

2k views

### Understanding iterated integrals

I have encountered iterated integrals on papers dealing with multizeta values, polylogarithms etc.. Since then I am trying to figure out the motivations and purpose of the theory.
It seems the ...