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Finite size scaling for the core of large random hypergraphs
Core random hyper-graph random graph low-density parity-check codes XOR-SAT fi nite size scaling
2015/8/21
The (two) core of an hyper-graph is the maximal collection of hyper-edges within which no vertex appears only once. It is of importance in tasks such as efficiently solving a large linear system over ...
The Size of the Largest Part of Random Weighted Partitions of Large Integers
Random Weighted Partitions Large Integers Probability
2011/9/20
Abstract: For a given sequence of weights (non-negative numbers), we consider partitions of the positive integer n. Each n-partition is selected uniformly at random from the set of all such partitions...
Large deviations for cluster size distributions in a continuous classical many-body system
Classical particle system canonical ensemble equilibrium statistical mechanics dilute system large deviations
2011/9/14
Abstract: An interesting problem in statistical physics is the condensation of classical particles in droplets or clusters when the pair-interaction is given by a stable Lennard-Jones-type potential. ...
Finite size properties of staggered $U_q[sl(2|1)]$ superspin chains
Finite size properties staggered $U_q[sl(2|1)]$ superspin chains
2011/3/2
Based on the exact solution of the eigenvalue problem for the Uq[sl(2|1)] vertex model
built from alternating 3-dimensional fundamental and dual representations by means of the
algebraic Bethe ansat...
Smaller population size at the MRCA time for stationary branching processes
Branching process most recent common ancestor bottleneck genealogy
2010/11/30
We present an elementary model of random size varying population given by a stationary continuous state branching process. For this model we compute the joint distribution
of: the time to the most re...
OPTIMAL COARSE GRID SIZE IN DOMAIN DECOMPOSITION
optimal coarse grid size in domain decomposition
2007/12/10
In most domain decomposition (DD) methods, a coarse grid solve is employed to provide the global coupling required to produce an optimal method. The total cost of a method can depend sensitively on th...