Monotonicity of average return probabilities for random walks in random environments
, 2017 We extend a result of Lyons (2016) from fractional tiling of finite graphs to a version for infinite random graphs. The most general result is as follows.
Lyons, Russell
core
Quasirandom Graphs and the Pantograph Equation. [PDF]
Am Math Mon, 2021 Shapira A, Tyomkyn M.
europepmc +1 more source
Systemic cascades on inhomogeneous random financial networks. [PDF]
Math Financ Econ, 2023 Hurd TR.
europepmc +1 more source
Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs. [PDF]
Probab Theory Relat Fields, 2021 He Y, Knowles A.
europepmc +1 more source
On the largest eigenvalue of a sparse random subgraph of the hypercube
, 2001 We consider a sparse random subraph of the $n$-cube where each edge appears independently with small probability $p(n) =O(n^{-1+o(1)})$. In the most interesting regime when $p(n)$ is not exponentially small we prove that the largest eigenvalue of the ...
Soshnikov, Alexander
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Solving the migration-recombination equation from a genealogical point of view. [PDF]
J Math Biol, 2021 Alberti F +3 more
europepmc +1 more source
A note on the component structure in random intersection graphs with tunable clustering
, 2007 We study the component structure in random intersection graphs with tunable clustering, and show that the average degree works as a threshold for a phase transition for the size of the largest component.
Lagerås, Andreas Nordvall +1 more
core +3 more sources
A Semiparametric Bayesian Approach to Epidemics, with Application to the Spread of the Coronavirus MERS in South Korea in 2015. [PDF]
J Nonparametr Stat, 2022 Schweinberger M, Bomiriya RP, Babkin S.
europepmc +1 more source
Preferential attachment with location-based choice: Degree distribution in the noncondensation phase
, 2019 We consider the preferential attachment model with location-based choice introduced by Haslegrave, Jordan and Yarrow as a model in which condensation phenomena can occur [Haslegrave et al. 2018].
Grauer, Arne +2 more
core
Non-hyperbolicity in random regular graphs and their traffic characteristics
Open Mathematics, 2013 Tucci Gabriel
doaj +1 more source