A short proof of a central limit theorem for the order of the giant component and k$k$‐core
Abstract In this note we outline a new and simple approach to proving central limit theorems for various ‘global’ graph parameters that have robust ‘local’ approximations, using the Efron–Stein inequality, which relies on a combinatorial analysis of the stability of these approximations under resampling an edge.
Michael Anastos +3 more
wiley +1 more source
Finding an almost perfect matching in a hypergraph avoiding forbidden submatchings
Abstract In 1973, Erdős conjectured the existence of high girth (n,3,2)$(n,3,2)$‐Steiner systems. Recently, Glock, Kühn, Lo, and Osthus and independently Bohman and Warnke proved the approximate version of Erdős' conjecture. Recently, Kwan, Sah, Sawhney, and Simkin proved Erdős' conjecture.
Michelle Delcourt, Luke Postle
wiley +1 more source
Atomic decomposition of martingale weighted Lorentz spaces with two-parameter and applications
M. Mohsenipour, G. Sadeghi
semanticscholar +1 more source
Lifting theorems for some classes of two parameter martingales
Summary: By means of nonstandard analysis we establish some lifting theorems for two-parameter stochastic processes, for two-parameter martingales and for weak, strong and \(i\)-martingales. We also prove that the standard part of an internal martingale is a standard larc martingale (a two-parameter version of a càdlàg martingale).
openaire +2 more sources
How Long does it Take to Train an Elephant Random Walk. [PDF]
Fang Z.
europepmc +1 more source
A scaling limit theorem for controlled branching processes with a size-divisible term. [PDF]
González M +2 more
europepmc +1 more source
Weighted Chernoff Information and Optimal Loss Exponent in Context-Sensitive Hypothesis Testing. [PDF]
Kelbert M, Kalimulina EY.
europepmc +1 more source
An Alternative Treatment Effect Measure for Time-to-Event Oncology Randomized Trials. [PDF]
Hutson AD, Yu H.
europepmc +1 more source
The Scaling Limit of the Volume of Loop-<i>O</i>(<i>n</i>) Quadrangulations. [PDF]
Aïdékon É, Da Silva W, Hu X.
europepmc +1 more source

