114 citations · 297 across the 13 of their papers we have counts for
18 papers · 1 filter
Cost of excursions until first crossing of the origin for random walks and Lévy flights: an exact general formula
Francesco Mori, Satya N. Majumdar, Pierpaolo Vivo
We consider a discrete-time random walk on a line starting at where a cost is incurred at each jump. We obtain an exact analytical formula for the distribution of the t…
Nonlinear-Cost Random Walk: exact statistics of the distance covered for fixed budget
Satya N. Majumdar, Francesco Mori, Pierpaolo Vivo
We consider the Nonlinear-Cost Random Walk model in discrete time introduced in [Phys. Rev. Lett. 130, 237102 (2023)], where a fee is charged for each jump of the walker. The nonli…
Thermodynamic cost of finite-time stochastic resetting
Kristian Stølevik Olsen, Deepak Gupta, Francesco Mori +1
Recent experiments have implemented resetting by means of an external trap, whereby a system relaxes to the minimum of the trap and is reset in a finite time. In this work, we set…
Current fluctuations in stochastically resetting particle systems
Costantino Di Bello, Alexander K. Hartmann, Satya N. Majumdar +3
We consider a system of non-interacting particles on a line with initial positions distributed uniformly with density on the negative half-line. We consider two different model…
Cost of diffusion: nonlinearity and giant fluctuations
Satya N. Majumdar, Francesco Mori, Pierpaolo Vivo
We introduce a simple model of diffusive jump process where a fee is charged for each jump. The nonlinear cost function is such that slow jumps incur a flat fee, while for fast jum…
Entropy production of resetting processes
Francesco Mori, Kristian Stølevik Olsen, Supriya Krishnamurthy
Stochastic systems that undergo random restarts to their initial state have been widely investigated in recent years, both theoretically and in experiments. Oftentimes, however, re…