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20162026
most citedKrylov complexity in saddle-dominated scrambling

146 citations · 384 across the 19 of their papers we have counts for

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cond-mat.stat-mech2022★ 3 cited

Clusters in the critical branching Brownian motion

Benoît Ferté, Pierre Le Doussal, Alberto Rosso +1

Brownian particles that are replicated and annihilated at equal rate have strongly correlated positions, forming a few compact clusters separated by large gaps. We characterize the…

cond-mat.stat-mech2022★ 5 cited

Clusters in an epidemic model with long-range dispersal

Xiangyu Cao, Pierre Le Doussal, Alberto Rosso

In presence of long range dispersal, epidemics spread in spatially disconnected regions known as clusters. Here, we characterize exactly their statistical properties in a solvable…

cond-mat.stat-mech2021

Quasiparticle kinetic theory for Calogero models

Vir B. Bulchandani, Manas Kulkarni, Joel E. Moore +1

We show that the quasiparticle kinetic theory for quantum and classical Calogero models reduces to the free-streaming Boltzmann equation. We reconcile this simple emergent behaviou…

cond-mat.stat-mech2020

A statistical mechanism for operator growth

Xiangyu Cao

It was recently conjectured that in generic quantum many-body systems, the spectral density of local operators has the slowest high-frequency decay as permitted by locality. We sho…

cond-mat.stat-mech2020

Comment on "Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model"

Jaewon Kim, Xiangyu Cao

In arXiv:1707.02197, the authors considered the Sachdev-Ye-Kitaev model with quadratic perturbation (also known as mass-deformed SYK), and claimed that the quantum Lyapunov exponen…

cond-mat.stat-mech2019

Does scrambling equal chaos?

Tianrui Xu, Thomas Scaffidi, Xiangyu Cao

Focusing on semiclassical systems, we show that the parametrically long exponential growth of out-of-time order correlators (OTOCs), also known as scrambling, does not necessitate…