7 citations · 15 across the 6 of their papers we have counts for
6 papers
Large Deviations of Irreversible Processes
Mikola C. Schlottke
Time-irreversible stochastic processes are frequently used in natural sciences to explain non-equilibrium phenomena and to design efficient stochastic algorithms. Our main goal in…
Gamma-convergence of a gradient-flow structure to a non-gradient-flow structure
Mark A. Peletier, Mikola C. Schlottke
We study the asymptotic behaviour of a gradient system in a regime in which the driving energy becomes singular. For this system gradient-system convergence concepts are ineffectiv…
A large deviation principle for Markovian slow-fast systems
Richard C. Kraaij, Mikola C. Schlottke
We prove pathwise large deviation principles of slow variables in slow-fast systems in the limit of time-scale separation tending to infinity. In the limit regime we consider, the…
Large deviations for the empirical measure of the zig-zag process
Joris Bierkens, Pierre Nyquist, Mikola C. Schlottke
The zig-zag process is a piecewise deterministic Markov process in position and velocity space. The process can be designed to have an arbitrary Gibbs type marginal probability den…
Comparison Principle for Hamilton-Jacobi-Bellman Equations via a Bootstrapping Procedure
Richard C. Kraaij, Mikola C. Schlottke
We study the well-posedness of Hamilton-Jacobi-Bellman equations on subsets of in a context without boundary conditions. The Hamiltonian is given as the supremum ove…
Large-deviation principles of switching Markov processes via Hamilton-Jacobi equations
Mark A. Peletier, Mikola C. Schlottke
We prove pathwise large-deviation principles of switching Markov processes by exploiting the connection to associated Hamilton-Jacobi equations, following Jin Feng's and Thomas Kur…