In ergodic physical systems, time-averaged quantities converge (for large times) to their
ensemble-averaged values. Large deviation theory describes rare events where these time …

The large deviation statistics of dynamical observables is encoded in the spectral properties
of deformed Markov generators. Recent works have shown that tensor network methods are …

We introduce a variational algorithm to estimate the likelihood of a rare event within a
nonequilibrium molecular dynamics simulation through the evaluation of an optimal control …

Rare events play a crucial role in many physics, chemistry, and biology phenomena, when
they change the structure of the system, for instance in the case of multistability, or when …

Finite Markov chains, memoryless random walks on complex networks, appear commonly
as models for stochastic dynamics in condensed matter physics, biophysics, ecology …

Symmetry-breaking dynamical phase transitions (DPTs) abound in the fluctuations of
nonequilibrium systems. Here, we show that the spectral features of a particular class of …

With continuously increasing available computer power, complex numerical models have
become indispensable tools in various branches of science. However, if we consider very …

The full range of biopsychosocial complexity is mind-boggling, spanning a vast range of
spatiotemporal scales with complicated vertical, horizontal, and diagonal feedback …

We consider discrete-time Markov bridges, chains whose initial and final states coincide. We
derive exact finite-time formulae for the joint probability distributions of additive functionals of …

Dynamical fluctuations or rare events associated with atypical trajectories in chaotic maps
due to specific initial conditions can crucially determine their fate, as the may lead to stability …