Results 61 to 70 of about 6,215,042 (159)
Functional Limit Theorems for Occupation Time Fluctuations of Branching Systems in the Case of Long-Range Dependence [PDF]
Functional central limit theorem; Occupation time uctuation; Branching particle system; Distribution-valued Gaussian process; Fractional Brownian motion; Sub-fractional Brownian motion; Long-range ...
Luis G. Gorostiza +2 more
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ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley +1 more source
Consistency of Kernel Estimators of Heteroscedastic and Autocorrelated Covariance Matrices [PDF]
Conditions are derived for the consistency of kernel estimators of the covariance matrix of a sum of vectors of dependent heterogeneous random variables, which match those of the currently best-known conditions for the central limit theorem, as required ...
Jong, R.M. de, Davidson, J.
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High‐Throughput Discovery of Quantum Frustrated Materials
Physics‐guided discovery of frustrated kagome and triangular magnets. ABSTRACT Geometrical frustration provides a fertile platform for realizing exotic quantum phases such as spin liquids, yet, the predictive identification of frustrated magnets remains limited.
Byeong‐Hyeon Jeong +4 more
wiley +1 more source
An extension of Peskun ordering to continuous time Markov chains [PDF]
Peskun ordering is a partial ordering defined on the space of transition matrices of discrete time Markov chains. If the Markov chains are reversible with respect to a common stationary distribution "greek Pi", Peskun ordering implies an ordering on the ...
Leisen Fabrizio, Mira Antonietta
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Causal‐Guided Ultra‐Long‐Term Time Series Forecasting Via Anticipated Covariates
Often treated as unknown, information from the future remains underutilized.We demonstrate that in a coupled dynamical system, providing the future state of the effect enables accurate forecasting of the cause for a long timesteps. A time series forecasting paradigm that introduces anticipated covariates to represent such known future states is ...
Jintong Zhao +4 more
wiley +1 more source
Central Limit Theorems For Multicolor Urns With Dominated Colors [PDF]
An urn contains balls of d >= 2 colors. At each time n >= 1, a ball is drawn and then replaced together with a random number of balls of the same color. Let An =diag (An,1, . . . ,An,d) be the n-th reinforce matrix. Assuming EAn,j = EAn,1 for all n and j,
Pietro Rigo +3 more
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Exact Discrete Stochastic Simulation With Deep‐Learning‐Scale Gradient Optimization
A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Jose M. G. Vilar, Leonor Saiz
wiley +1 more source
A programmable coupled‐resonator‐induced transparency (CRIT) platform is proposed, generalizing classical electromagnetically induced transparency (EIT) via a spinor representation. By utilizing dual‐channel gauge fields and universal unitary operations, this architecture enables dynamically engineered, reconfigurable slow‐light bands on a silicon ...
Seungkyun Park +5 more
wiley +1 more source
Lattice Resonances in Periodic Arrays of Time‐Modulated Scatterers
This work explores how periodic time modulation alters the collective optical behavior of periodic arrays of scatterers, shedding light on the critical role of collective effects in time‐varying photonic systems and unveiling new opportunities for amplification, active control, and nonreciprocal functionalities.
María Blanco de Paz +3 more
wiley +1 more source

