529 citations · 5k across the 111 of their papers we have counts for
115 papers
Transition to anomalous dynamics in a simple random map
Jin Yan, Moitrish Majumdar, Stefano Ruffo +3
The famous Bernoulli shift (or dyadic transformation) is perhaps the simplest deterministic dynamical system exhibiting chaotic dynamics. It is a piecewise linear time-discrete map…
Space-Time-Matter: Some Notes on the Localization Problem in Relativistic Quantum Theory
Christian Beck
This work aims to shed some light on the meaning of the positive energy assumption in relativistic quantum theory and its relation to questions of localization of quantum systems.…
Nonlinear Monte Carlo methods with polynomial runtime for Bellman equations of discrete time high-dimensional stochastic optimal control problems
Christian Beck, Arnulf Jentzen, Konrad Kleinberg +1
Discrete time stochastic optimal control problems and Markov decision processes (MDPs), respectively, serve as fundamental models for problems that involve sequential decision maki…
Information Shift Dynamics Described by Tsallis Entropy on a Compact Phase Space
Jin Yan, Christian Beck
Recent mathematical investigations have shown that under very general conditions exponential mixing implies the Bernoulli property. As a concrete example of a statistical mechanics…
An efficient Monte Carlo scheme for Zakai equations
Christian Beck, Sebastian Becker, Patrick Cheridito +2
In this paper we develop a numerical method for efficiently approximating solutions of certain Zakai equations in high dimensions. The key idea is to transform a given Zakai SPDE i…
Weak correlation between fluctuations in protein diffusion inside bacteria
Yuichi Itto, Christian Beck
A weak correlation between the diffusion-exponent fluctuations and the temperature fluctuations is discussed based on recent experimental observations for protein diffusion inside…