7 citations · 15 across the 6 of their papers we have counts for
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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…
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…
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…