3 citations · 5 across the 9 of their papers we have counts for
9 papers
Diffusion under competing bulk and surface stopping mechanisms
Yilin Ye
We investigate reflected diffusion in a bounded domain subject to two independent, competing stopping mechanisms: an exponentially distributed bulk lifetime of rate and a surfa…
Population dynamics of surface-mediated autocatalytic processes
Denis S. Grebenkov, Yilin Ye
We investigate the population dynamics of surface-mediated autocatalytic processes, in which particles diffuse in a complex environment towards surface regions where they can be ei…
Correlation between the first-reaction time and the acquired boundary local time
Yilin Ye, Denis S. Grebenkov
We investigate the statistical correlation between the first-reaction time of a diffusing particle and its boundary local time accumulated until the reaction event. Since the react…
The geometric control of boundary-catalytic branching processes
Denis S. Grebenkov, Yilin Ye
Boundary-catalytic branching processes describe a broad class of natural phenomena where the population of diffusing particles grows due to their spontaneous binary branching (e.g.…
Local persistence exponent and its log-periodic oscillations
Yilin Ye, Denis S. Grebenkov
We investigate the local persistence exponent of the survival probability of a particle diffusing near an absorbing self-similar boundary. We show by extensive Monte Carlo simulati…
Brownian motion near a soft surface
Yilin Ye, Yacine Amarouchene, Raphaël Sarfati +2
Brownian motion near soft surfaces is a situation widely encountered in nanoscale and biological physics. However, a complete theoretical description is lacking to date. Here, we t…
Boundary local time on wedges and prefractal curves
Yilin Ye, Denis S. Grebenkov
We investigate the boundary local time on polygonal boundaries such as finite generations of the Koch snowflake. To reveal the role of angles, we first focus on wedges and obtain t…
First-passage times to a fractal boundary: local persistence exponent and its log-periodic oscillations
Yilin Ye, Adrien Chaigneau, Denis S. Grebenkov
We investigate the statistics of the first-passage time (FPT) to a fractal self-similar boundary of the Koch snowflake. When the starting position is fixed near the absorbing bound…
Escape-from-a-layer approach for simulating the boundary local time in Euclidean domains
Yilin Ye, Adrien Chaigneau, Denis S. Grebenkov
We propose an efficient numerical approach to simulate the boundary local time of reflected Brownian motion, as well as the time and position of the associated reaction event on a…