Results 41 to 50 of about 2,680 (148)
Convergence of weighted sums of pairwise independent stochastically dominated random variables
Limit theorems play an important role in probability theory and have numerous applications in statistics. Among them, the weak and strong laws of large numbers established by Kolmogorov and Marcinkiewicz–Zygmund for sequences of independent and ...
Ton That Tu +2 more
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Quantum fluctuation theorems in the strong damping limit [PDF]
We consider a driven quantum particle in the strong friction regime described by the quantum Smoluchowski equation. We derive Crooks and Jarzynski type relations for the reduced quantum system by properly generalizing the entropy production to take into account the non-Gibbsian character of the equilibrium distribution.
Deffner, Sebastian +2 more
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A strong limit theorem on gambling systems
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Liu, Wen, Wang, Jinting
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Higher-order QCD corrections to hadronic τ decays from Padé approximants
Perturbative QCD corrections to hadronic τ decays and e + e − annihilation into hadrons below charm are obtained from the Adler function, which at present is known in the chiral limit to five-loop accuracy.
Diogo Boito, Pere Masjuan, Fabio Oliani
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A strong limit theorem for Gaussian processes [PDF]
We demonstrate here a similar result for a large class of Gaussian processes including the Wiener process as a particular case. Notation: in the following { X(t), 0? t
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Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables
In this article, the strong limit theorems for arrays of rowwise negatively orthant-dependent random variables are studied. Some sufficient conditions for strong law of large numbers for an array of rowwise negatively orthant-dependent random variables ...
Shen Aiting
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This paper investigates a slow–fast stochastic reaction–diffusion–advection equation with Hölder-continuous coefficients, where the irregularity of the coefficients presents significant analytical challenges.
Li Yang, Lin Liu
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Some Strong Limit Theorems in Averaging
AbstractThe paper deals with the fast-slow motions setups in the discrete time $$X^{\varepsilon }((n+1){\varepsilon })=X^{\varepsilon }(n{\varepsilon })+{\varepsilon }B(X^{\varepsilon }(n{\varepsilon }),\xi (n))$$ X ε
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We prove two compactness theorems for HOD. First, if $\kappa $ is a strong limit singular cardinal with uncountable cofinality and for stationarily many $\delta
Gabriel Goldberg, Alejandro Poveda
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Strong Ratio Limit Theorems for Markov Processes
Let $P$ be a conservative and ergodic Markov operator on $L_\infty(X, \Sigma, m)$ (where $m(X) = 1$). It is proved that if for $A \in \Sigma$ with $m(A) > 0$ and $\mu \ll m$ a finite measure with $\mu(A) > 0 \lim_{n\rightarrow\infty} / $ exists for every $B \subset A$, then $P$ has a $\sigma$-finite invariant measure $\lambda$ and there is a sequence $
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