11 citations · 45 across the 9 of their papers we have counts for
9 papers
A first passage problem for a Poisson counting process with a linear moving boundary
Ivan N. Burenev, Michael J. Kearney, Satya N. Majumdar
The time to first crossing for the Poisson counting process with respect to a linear moving barrier with offset is a classic problem, although key results remain scattered across t…
First-passage properties of the jump process with a drift. The general case
Ivan N. Burenev
We study the first-passage properties of a jump process with constant drift where jump amplitudes and inter-arrival times follow arbitrary light-tailed distributions with smooth de…
First-passage properties of the jump process with a drift. Two exactly solvable cases
Ivan N. Burenev, Satya N. Majumdar
We investigate the first-passage properties of a jump process with a constant drift, focusing on two key observables: the first-passage time and the number of jumps before…
An introduction to large deviations with applications in physics
Ivan N. Burenev, Daniël W. H. Cloete, Vansh Kharbanda +1
These notes are based on the lectures that one of us (HT) gave at the Summer School on the "Theory of Large Deviations and Applications", held in July 2024 at Les Houches in France…
Importance Sampling for counting statistics in one-dimensional systems
Ivan N. Burenev, Satya N. Majumdar, Alberto Rosso
In this paper, we consider the problem of numerical investigation of the counting statistics for a class of one-dimensional systems. Importance sampling, the cornerstone technique…
Thermodynamics of the five-vertex model with scalar-product boundary conditions
Ivan N. Burenev, Andrei G. Pronko
We consider the homogeneous five-vertex model on a rectangle domain of the square lattice with so-called scalar-product boundary conditions. Peculiarity of these boundary condition…
Occupation time of a system of Brownian particles on the line with steplike initial condition
Ivan N. Burenev, Satya N. Majumdar, Alberto Rosso
We consider a system of non-interacting Brownian particles on the line with steplike initial condition and study the statistics of the occupation time on the positive half-line. We…
Local time of a system of Brownian particles on the line with steplike initial condition
Ivan N. Burenev, Satya N. Majumdar, Alberto Rosso
We consider a system of non-interacting Brownian particles on a line with a step-like initial condition, and we investigate the behavior of the local time at the origin at large ti…
Determinant formulas for the five-vertex model
Ivan N. Burenev, Andrei G. Pronko
We consider the five-vertex model on a finite square lattice with fixed boundary conditions such that the configurations of the model are in a one-to-one correspondence with the bo…