This is a volume in memory of Vladas Sidoravicius who passed away in 2019. Vladas has edited two volumes appeared in this series ("In and Out of Equilibrium") and is now honored by friends and colleagues with research papers reflecting Vladas' interests and contributions to probability theory.
Preface.- Publications of Vladas Sidoravicius.- Existence and
coexistence in first-passage percolation.- Ground state stability in two spin
glass models.- Approximate and exact solutions of intertwining equations
through random spanning forests.- Bernoulli hyperplane percolation.- Time
correlation exponents in last passage percolation.- On the four-arm exponent
for 2D percolation at criticality.- Universality of noise reinforced Brownian
motions.- Geodesic rays and exponents in ergodic planar first
passage percolation.- Avalanches in critical activated random walks.- An
overview of the balanced excited random walk.- Limit theorems for loop soup
random variables.- The stable Derrida-Retaux system at criticality.- A class
of random walks on the hypercube.- Non-optimality of invaded geodesics in 2d
critical first-passage percolation.- Empirical spectral distributions of
sparse random graphs.- Upper bounds on the percolation correlation
length.- The roles of random boundary conditions in spin systems.- Central
limit theorems for a driven particle in a random medium with mass
aggregation.- Structural properties of conditioned random walks on
integer lattices with random local constraints.- Random memory
walk.- Exponential decay in the loop....- Non-coupling from the
past.- Combinatorial universality in three-speed
ballistic annihilation.- Glauber dynamics on the Erdos-Renyi random
graph.- The parabolic Anderson model on a Galton-Watson tree.- Reflecting
random walks in curvilinear wedges.- Noise stability of weighted
majority.- Scaling limits of linear random fields on Z2 with general
dependence axis.- Brownian aspects of the KPZ fixed point.- How can the
appropriate objective and predictive probabilities get into non-collapse
quantum mechanics?.- On one-dimensional multi-particle diusion
limited aggregation.- On the C1 -property of the percolation function of
random interlacements and a related variational problem.- On clusters of
Brownian loops in d dimensions.
