The physics of non-equilibrium many-body systems is a rapidly expanding area of
theoretical physics. Traditionally employed in laser physics and superconducting kinetics …

We determine the full statistics of nonstationary heat transfer in the Kipnis-Marchioro-Presutti
lattice gas model at long times by uncovering and exploiting complete integrability of the …

We solve the large deviations of the Kardar-Parisi-Zhang (KPZ) equation in one dimension
at short time by introducing an approach which combines field theoretical, probabilistic, and …

We study the crossover from the macroscopic fluctuation theory (MFT), which describes one-
dimensional stochastic diffusive systems at late times, to the weak noise theory (WNT) …

We provide the first tight bounds on the lower tail probability of the one-point distribution of
the Kardar–Parisi–Zhang (KPZ) equation with narrow wedge initial data. Our bounds hold …

We present the solution of the weak noise theory (WNT) for the Kardar-Parisi-Zhang
equation in one dimension at short time for flat initial condition (IC). The nonlinear …

We consider the early time regime of the Kardar-Parisi-Zhang (KPZ) equation in 1+ 1
dimensions in curved (or droplet) geometry. We show that for short time t, the probability …

Using the weak-noise theory, we evaluate the probability distribution P (H, t) of large
deviations of height H of the evolving surface height h (x, t) in the Kardar-Parisi-Zhang …

We consider a discrete-time random walk on a one-dimensional lattice with space-and time-
dependent random jump probabilities, known as the beta random walk. We are interested in …

We establish a large deviation principle for the Kardar-Parisi-Zhang (KPZ) equation,
providing precise control over the left tail of the height distribution for narrow wedge initial …