Extreme value statistics of correlated random variables: a pedagogical review

SN Majumdar, A Pal, G Schehr - Physics Reports, 2020 - Elsevier
Extreme value statistics (EVS) concerns the study of the statistics of the maximum or the
minimum of a set of random variables. This is an important problem for any time-series and …

Networks with preferred degree: a mini-review and some new results

KE Bassler, D Dhar, RKP Zia - Journal of Statistical Mechanics …, 2015 - iopscience.iop.org
Since their inception about a decade ago, dynamic networks which adapt to the state of the
nodes have attracted much attention. One simple case of such an adaptive dynamics is a …

Long-range random transverse-field Ising model in three dimensions

IA Kovács, R Juhász, F Iglói - Physical Review B, 2016 - APS
We consider the random transverse-field Ising model in d= 3 dimensions with long-range
ferromagnetic interactions which decay as a power α> d with the distance. Using a variant of …

Oscillating hysteresis in the -neighbor Ising model

A Jȩdrzejewski, A Chmiel, K Sznajd-Weron - Physical Review E, 2015 - APS
We modify the kinetic Ising model with Metropolis dynamics, allowing each spin to interact
only with q spins randomly chosen from the whole system, which corresponds to the …

Mixed-order phase transition in a colloidal crystal

R Alert, P Tierno, J Casademunt - Proceedings of the …, 2017 - National Acad Sciences
Mixed-order phase transitions display a discontinuity in the order parameter like first-order
transitions yet feature critical behavior like second-order transitions. Such transitions have …

Exact extreme-value statistics at mixed-order transitions

A Bar, SN Majumdar, G Schehr, D Mukamel - Physical Review E, 2016 - APS
We study extreme-value statistics for spatially extended models exhibiting mixed-order
phase transitions (MOT). These are phase transitions that exhibit features common to both …

Extreme value theory for constrained physical systems

M Höll, W Wang, E Barkai - Physical Review E, 2020 - APS
We investigate extreme value theory for physical systems with a global conservation law
which describes renewal processes, mass transport models, and long-range interacting spin …

Mixed-order transition in the antiferromagnetic quantum Ising chain in a field

P Lajkó, F Iglói - Physical Review B, 2021 - APS
The antiferromagnetic quantum Ising chain has a quantum critical point which belongs to the
universality class of the transverse Ising model (TIM). When a longitudinal field (h) is …

Large deviations, condensation and giant response in a statistical system

F Corberi - Journal of Physics A: Mathematical and Theoretical, 2015 - iopscience.iop.org
We study the probability distribution P of the sum of a large number of non-identically
distributed random variables n m. Condensation of fluctuations, the phenomenon whereby …

Quantum Potts chain in alternating field

P Lajkó, WA Yehia, F Iglói - Physical Review B, 2023 - APS
The q-state Potts chain with ferromagnetic couplings, J= 1, in the presence of a transverse
field Γ has a quantum phase transition at Γ/q= 1, which is continuous for q≤ 4 and of first …