For eukaryotic cells to heal wounds, respond to immune signals, or metastasize, they must
migrate, often by adhering to extracellular matrix (ECM). Cells may also deposit ECM …

How long is needed for an observable to exceed its previous highest value and establish a
new record? This time, known as the age of a record plays a crucial role in quantifying …

The territory explored by a random walk is a key property that may be quantified by the
number of distinct sites that the random walk visits up to a given time. We introduce a more …

Indirect interactions via shared memory deposited on the field (“field memory”) play an
essential role in collective motions. Some motile species, such as ants and bacteria, use …

Recent pioneering experiments on non-Markovian dynamics done, eg, for active matter
have demonstrated that our theoretical understanding of this challenging yet hot topic is …

Many cells face search problems, such as finding food, mates, or shelter, where their
success depends on their search strategy. In contrast to other unicellular organisms, the …

We introduce range-controlled random walks with hopping rates depending on the range N,
that is, the total number of previously distinct visited sites. We analyze a one-parameter class …

The foraging behavior of animals is a paradigm of target search in nature. Understanding
which foraging strategies are optimal and how animals learn them are central challenges in …

Agents searching for a target can improve their efficiency by memorizing where they have
already been searching or by cooperating with other searchers and using strategies that …

We link the large-scale dynamics of non-reversible Monte Carlo algorithms as well as a lifted
TASEP to an exactly soluble model of self-repelling motion. We present arguments for the …