output
19982026
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations

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Showing 2019 · cond-mat.stat-mechShow all

4 papers · 2 filters

cond-mat.stat-mech2019

Frustration -- Exactly Solved Frustrated Models

H. T. Diep, H. Giacomini

After a short introduction on frustrated spin systems, we study in this chapter several two-dimensional frustrated Ising spin systems which can be exactly solved by using vertex mo…

cond-mat.stat-mech2019★ 60 cited

The convex hull of the run-and-tumble particle in a plane

Alexander K Hartmann, Satya N Majumdar, Hendrik Schawe +1

We study the statistical properties of the convex hull of a planar run-and-tumble particle (RTP), also known as the "persistent random walk", where the particle/walker runs ballist…

cond-mat.stat-mech2019★ 4 cited

Asymptotic behavior of the length of the longest increasing subsequences of random walks

J. Ricardo G. Mendonça, Hendrik Schawe, Alexander K. Hartmann

We numerically estimate the leading asymptotic behavior of the length of the longest increasing subsequence of random walks with step increments following Student's -dis…

cond-mat.stat-mech2019★ 98 cited

A particle-field representation unifies paradigms in active matter

Robert Großmann, Igor S. Aranson, Fernando Peruani

Active matter research focuses on the emergent behavior among interacting self-propelled particles. Unification of seemingly disconnected paradigms -- active phase-separation of re…