5 papers
One-dimensional lattice random walks in a Gaussian random potential
Silvio Kalaj, Enzo Marinari, Gleb Oshanin +1
We study random walks evolving in continuous time on a one-dimensional lattice where each site hosts a quenched random potential . The potentials on different sites are in…
Path-integrals and optimal paths for the fractional Ornstein-Uhlenbeck process
Bing Miao, Gleb Oshanin, Luca Peliti
We derive the path-integral representation of the fractional Ornstein-Uhlenbeck process driven by Riemann-Liouville fractional Gaussian noise, for both the subdiffusive and superdi…
Content-Addressable Memory with a Content-Free Energy Function
Félix Benoist, Luca Peliti, Pablo Sartori
Content-addressable memory, i.e. stored information that can be retrieved from content-based cues, is key to computation. Besides natural and artificial neural networks, physical l…
A simple model of a sequence-reading diffusion: non-self-averaging and self-averaging properties
Silvio Kalaj, Enzo Marinari, Gleb Oshanin +1
Motivated by a question about the sensitivity of knots' diffusive motion to the actual sequence of nucleotides placed on a given DNA, here we study a simple model of a sequence-rea…
Adaptive efficiency of information processing in immune-pathogen co-evolution
Quinn N Bellamy, Zachary Montague, Luca Peliti +1
Organisms have evolved immune systems that can counter pathogenic threats. The adaptive immune system in vertebrates consists of a diverse repertoire of immune receptors that can d…