92 citations · 248 across the 11 of their papers we have counts for
11 papers
A recursive formula for the survival function and the first passage time distribution for jump and diffusion processes. Applications to the pricing of -to-default CDS
Alessio Lapolla
We derive some rather general, but complicated, formulae to compute the survival function and the first passage time distribution of the coordinate of a many-body sto…
The First Exit Time Statistics and the Entropic Forces in Single File Diffusion
Alessio Lapolla
Single file systems are simplified models to study effectively one-dimensional physical systems. Here we compute analytically the complete first exit time statistics for an ideal o…
Time- and ensemble-average statistical mechanics of the Gaussian Network Model
Alessio Lapolla, Maximilian Vossel, Aljaž Godec
We present analytical results (up to a numerical diagonalization of a real symmetric matrix) for a set of time- and ensemble-average physical observables in the non-Hookean Gaussia…
Ubiquitous Dynamical Time Asymmetry in Measurements on Materials and Biological Systems
Alessio Lapolla, Jeremy C. Smith, Aljaž Godec
Many measurements on soft condensed matter (e.g., biological and materials) systems track low-dimensional observables projected from the full system phase space as a function of ti…
A Toolbox for Quantifying Memory in Dynamics Along Reaction Coordinates
Alessio Lapolla, Aljaž Godec
Memory effects in time-series of experimental observables are ubiquitous, have important cosequences for the interpretation of kinetic data, and may even affect the function of bio…
Single-file diffusion in a bi-stable potential: signatures of memory in the barrier-crossing of a tagged-particle
Alessio Lapolla, Aljaž Godec
We investigate memory effects in barrier-crossing in the overdamped setting. We focus on the scenario where the hidden degrees of freedom relax on exactly the same time scale as th…
Spectral theory of fluctuations in time-average statistical mechanics of reversible and driven systems
Alessio Lapolla, David Hartich, Aljaž Godec
We present a spectral-theoretic approach to time-average statistical mechanics for general, non-equilibrium initial conditions. We consider the statistics of bounded, local additiv…
BetheSF: Efficient computation of the exact tagged-particle propagator in single-file systems via the Bethe eigenspectrum
Alessio Lapolla, Aljaz Godec
Single-file diffusion is a paradigm for strongly correlated classical stochastic many-body dynamics and has widespread applications in soft condensed matter and biophysics. However…
Faster uphill relaxation in thermodynamically equidistant temperature quenches
Alessio Lapolla, Aljaž Godec
We uncover an unforeseen asymmetry in relaxation -- for a pair of thermodynamically equidistant temperature quenches, one from a lower and the other from a higher temperature, the…
Manifestations of Projection-Induced Memory: General Theory and the Tilted Single File
Alessio Lapolla, Aljaz Godec
Over the years the field of non-Markovian stochastic processes and anomalous diffusion evolved from a specialized topic to mainstream theory, which transgressed the realms of physi…
Unfolding Tagged Particle Histories in Single-File Diffusion: Exact Single- and Two-Tag Local Times Beyond Large Deviation Theory
Alessio Lapolla, Aljaz Godec
Strong positional correlations between particles render the diffusion of a tracer particle in a single file anomalous and non-Markovian. While ensemble average observables of trace…