## Julian Sieber

### Imperial College London

I’m a PhD student in the EPSRC CDT in Mathematics of Random Systems, jointly run by Imperial College London and the University of Oxford.

### Education

• MASt in Applied Mathematics (Part III), 2019

University of Cambridge, UK

• BSc in Mathematics, 2018

Technical University of Munich, Germany

• BSc in Physics, 2017

Technical University of Munich, Germany

# Publications

### Functional Limit Theorems for Volterra Processes and Applications to Homogenization

We prove an enhanced limit theorem for additive functionals of a multidimensional Volterra process $(y_t)_ {t\geq 0}$. As an …

### Slow-Fast Systems with Fractional Environment and Dynamics

We prove an averaging principle for interacting slow-fast systems driven by independent fractional Brownian motions. The mode of …

### Monotonicity of the Poincaré and Log Sobolev Constants of One Dimensional Gibbs Measures

We investigate monotonicity properties of the Poincaré and Log-Sobolev constants of symmetric Gibbs measures on compact intervals. More …

### Bounds on the bipartite entanglement entropy for oscillator systems with or without disorder

We give a direct alternative proof of an area law for the entanglement entropy of the ground state of disordered oscillator …

# Experience

#### Scalable Capital

Jul 2019 – Sep 2019 Munich, Germany
My responsibilities comprised:

• Software development in Python and Matlab
• Data analysis and visualization