We discuss replica analytic continuation using several simple models in order to prove mathematically the validity of replica analysis, which is used in a wide range of fields related to large scale complex systems. While replica analysis consists of two analytical techniques, the replica trick (or replica analytic continuation) and the thermodynamical limit (and/or order parameter expansion), ...

Replica consistency maintenance plays a key role to improve the efficiency of replica management. This paper proposed one P2P Replica-tree based consistency maintenance strategy. In this strategy, social capacity is adopted for description of replica clustering coefficient, and one replica-tree is formed by dividing replica nodes into multi-levels. Especially peer-to-peer network with first-cla...

Partial collection replication improves performance and scalability of a large-scale distributed information retrieval system by distributing excessive workloads, reducing network latency, and restricting some searches to a small percentage of data. In this paper, we rst examine queries from real system logs and show that there is suucient query locality in real systems to justify partial colle...

An effective replica management method can save bandwidth, reduce latency, balance load, and improve system reliability. A comprehensive scheme is introduced to manage replica for the grid environment. The schemes of replica creation and placement based on the frequency of visits and storage space, replica replacement based on the replica value, and replica selection based on comprehensive perf...

The large-system performance of maximum-a-posterior estimation is studied considering a general distortion function when the observation vector is received through a linear system with additive white Gaussian noise. The analysis considers the system matrix to be chosen from a large class of random ensembles. We take a statistical mechanical approach by introducing a spin glass corresponding to ...

Replica exchange molecular dynamics is a multicanonical simulation technique commonly used to enhance the sampling of solvated biomolecules on rugged free energy landscapes. While replica exchange is relatively easy to implement, there are many unanswered questions about how to use this technique most efficiently, especially because it is frequently the case in practice that replica exchange si...

The statistical mechanics of a two-state Ising spin-glass model with finite random connectivity, in which each site is connected to a finite number of other sites, is extended in this work within the replica technique to study the phase transitions in the three-state Ghatak-Sherrington (or random Blume-Capel) model of a spin glass with a crystal-field term. The replica symmetry ansatz for the o...

This paper studies performance and timing failure probability of time-shifted redundant circuits and path-/circuit-replica circuits. Measurement-based experiments using a fabricated test chip are performed. For an approximately similar false positive error probability for the path-replica and circuit-replica, the false negative error probability of the circuit-replica is approximately two order...