Search Results for author: Arnab Pal

Found 5 papers, 0 papers with code

The fate of the American dream: A first passage under resetting approach to income dynamics

no code implementations26 Dec 2022 Petar Jolakoski, Arnab Pal, Trifce Sandev, Ljupco Kocarev, Ralf Metzler, Viktor Stojkoski

Detailed knowledge of individual income dynamics is crucial for investigating the existence of the American dream: Are we able to improve our income status during our working life?

Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity

no code implementations4 Sep 2021 Viktor Stojkoski, Petar Jolakoski, Arnab Pal, Trifce Sandev, Ljupco Kocarev, Ralf Metzler

We explore the role of non-ergodicity in the relationship between income inequality, the extent of concentration in the income distribution, and mobility, the feasibility of an individual to change their position in the income distribution.

Geometric Brownian Motion under Stochastic Resetting: A Stationary yet Non-ergodic Process

no code implementations4 Apr 2021 Viktor Stojkoski, Trifce Sandev, Ljupco Kocarev, Arnab Pal

We study the effects of stochastic resetting on geometric Brownian motion (GBM), a canonical stochastic multiplicative process for non-stationary and non-ergodic dynamics.

First passage under restart for discrete space and time: application to one dimensional confined lattice random walks

no code implementations1 Feb 2021 Ofek Lauber Bonomo, Arnab Pal

However, most of the studies so far assumed continuous time underlying first passage time processes and moreover considered continuous time resetting restricting out restart processes broken up into synchronized time steps.

Statistical Mechanics Probability Chemical Physics

Resetting with stochastic return through linear confining potential

no code implementations23 Dec 2020 Deepak Gupta, Arnab Pal, Anupam Kundu

In contrast to the usual setting where the particle is instantaneously reset to a preferred location (say, the origin), here we consider a finite time resetting process facilitated by an external linear potential $V(x)=\lambda|x|~ (\lambda>0)$.

Statistical Mechanics

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