815 citations · 19.9k across the 406 of their papers we have counts for
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An exact formula for the variance of linear statistics in the one-dimensional jellium mode
Ana Flack, Satya N. Majumdar, Gregory Schehr
We consider the jellium model of particles on a line confined in an external harmonic potential and with a pairwise one-dimensional Coulomb repulsion of strength . Using…
Extreme statistics and spacing distribution in a Brownian gas correlated by resetting
Marco Biroli, Hernan Larralde, Satya N. Majumdar +1
We study a one-dimensional gas of Brownian particles that diffuse independently, but are {\it simultaneously} reset to the origin at a constant rate . The system approaches…
Density profile of noninteracting fermions in a rotating trap at finite temperature
Manas Kulkarni, Pierre Le Doussal, Satya N. Majumdar +1
We study the average density of spinless noninteracting fermions in a harmonic trap rotating with a constant frequency and in the presence of an additional repulsive c…
Reducing mean first passage times with intermittent confining potentials: a realization of resetting processes
Gabriel Mercado-Vásquez, Denis Boyer, Satya N. Majumdar
During a random search, resetting the searcher's position from time to time to the starting point often reduces the mean completion time of the process. Although many different res…
Time to reach the maximum for a stationary stochastic process
Francesco Mori, Satya N. Majumdar, Gregory Schehr
We consider a one-dimensional stationary time series of fixed duration . We investigate the time at which the process reaches the global maximum within the time inte…
Metropolis Monte Carlo sampling: convergence, localization transition and optimality
Alexei D. Chepelianskii, Satya N. Majumdar, Hendrik Schawe +1
Among random sampling methods, Markov Chain Monte Carlo algorithms are foremost. Using a combination of analytical and numerical approaches, we study their convergence properties t…