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A discrete dynamical system for the short-range optimization strategy at collective Parrondo games
A discrete dynamical system the short-range optimization strategy
2010/11/12
We consider a collective version of Parrondo's games with probabilities parametrized by rho in (0,1) in which a fraction phi in (0,1] of an infinite number of players collectively choose and individu...
Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear rate zero-range processes
Nonequilibrium fluctuations tagged particle one-dimensional sublinear rate zero-range processes
2010/11/11
Nonequilibrium fluctuations of a tagged, or distinguished particle in a class of one dimensional mean-zero zero-range systems with sublinear, increasing rates are derived. In Jara-Landim-Sethuraman (2...
Absence of magnetism in continuous-spin systems with long-range antialigning forces
magnetism continuous-spin systems long-range antialigning forces
2010/11/12
We consider continuous-spin models on the $d$-dimensional hypercubic lattice with the spins $\sigma_x$ \emph{a priori} uniformly distributed over the unit sphere in $\R^n$ (with $n\ge2$) and the inter...
True nature of long-range order in a plaquette orbital model
Rigorous results in statistical mechanics Classical phase transitions
2010/12/9
We analyze the classical version of a plaquette orbital model that was recently introduced and studied numerically by S. Wenzel and W. Janke.
True nature of long-range order in a plaquette orbital model
Rigorous results in statistical mechanics Classical phase transitions
2010/12/16
We analyze the classical version of a plaquette orbital model that was recently introduced and studied numerically by S. Wenzel and W. Janke.
Perturbation of Closed Range Operators
Hilbert space perturbation Hyers--Ulam stability closed operator semi-Fredholm operator
2010/2/25
Let T, A be operators with domains D(T) \subseteq D(A) in a normed space X. The operator A is called T-bounded if |Ax|\leq a|x|+b|Tx| for some a, b\geq 0 and all x \in D(T). If A has the Hyers--Ulam s...