Results 21 to 30 of about 52,018 (229)
Ergodicity and indistinguishability in percolation theory [PDF]
This paper explores the link between the ergodicity of the clus-ter equivalence relation restricted to its infinite locus and the indis-tinguishability of infinite clusters.
Martineau, Sébastien
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We present here a unifying perspective for the lack of equipartition in nonlinear ordered systems and the low-temperature phase-space fragmentation in disordered systems.
Giacomo Gradenigo +2 more
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The Unreasonable Effectiveness of the Chaotic Tent Map in Engineering Applications
From decimal expansion of real numbers to complex behaviour in physical, biological and human-made systems, deterministic chaos is ubiquitous. One of the simplest examples of a nonlinear dynamical system that exhibits chaos is the well known 1 ...
Nithin Nagaraj
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Ergodic descriptors of non-ergodic stochastic processes
The stochastic processes underlying the growth and stability of biological and psychological systems reveal themselves when far-from-equilibrium. Far-from-equilibrium, non-ergodicity reigns. Non-ergodicity implies that the average outcome for a group/ensemble (i.e. of representative organisms/minds) is not necessarily a reliable estimate of the average
Madhur Mangalam, Damian G. Kelty-Stephen
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Ergodicity and Mixing in Quantum Dynamics
After a brief historical review of ergodicity and mixing in dynamics, particularly in quantum dynamics, we introduce definitions of quantum ergodicity and mixing using the structure of the system's energy levels and spacings.
Quan, H. T., Wu, Biao, Zhang, Dongliang
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Generalized cross-entropy benchmarking for random circuits with ergodicity
Cross-entropy benchmarking is a central technique adopted to certify a quantum chip in recent investigations. To better understand its mathematical foundation and develop new benchmarking schemes, the concept of ergodicity was introduced to random ...
Bin Cheng +3 more
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On the ergodicity bounds for a constant retrial rate queueing model
We consider a Markovian single-server retrial queueing system with a constant retrial rate. Conditions of null ergodicity and exponential ergodicity for the correspondent process, as well as bounds on the rate of convergence are ...
Gorshenin, Andrey +4 more
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Many-body localization and quantum ergodicity in disordered long-range Ising models [PDF]
Ergodicity in quantum many-body systems is - despite its fundamental importance - still an open problem. Many-body localization provides a general framework for quantum ergodicity, and may therefore offer important insights. However, the characterization
Hauke, Philipp, Heyl, Markus
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Quantum thermalization: anomalous slow relaxation due to percolation-like dynamics
We highlight a dynamical anomaly in which the rate of relaxation towards thermal equilibrium in a bi-partite quantum system violates the standard linear-response (Kubo) formulation, even when the underlying dynamics is highly chaotic.
Christine Khripkov +2 more
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We study the forced response of the teleconnection between the El Niño–Southern Oscillation (ENSO) and the Indian summer monsoon (IM) in the Max Planck Institute Grand Ensemble, a set of Earth system ensemble simulations under historical and ...
Tamás Bódai +11 more
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