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Computing tools for effective field theories: SMEFT-Tools 2022 Workshop Report, 14-16th September 2022, Zürich. [PDF]
Eur Phys J C Part FieldsAebischer J +32 more
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Local limit theorems for functionals in the conditional invariance principle
Journal of Soviet Mathematics, 1988Let \(\xi_ 1,...,\xi_ n\) be i.i.d. r.v.'s with E \(\xi\) \({}_ i=0\), E \(\xi\) \({}^ 2_ i=1\), \(i=1,...,n\), \[ X_ n(t)=n^{- }\sum^{[nt]}_{i=1}\xi_ i+n^{-}(nt-[nt])\xi_{[nt]+1},\quad t\in [0,1],\quad X_ n(0)=0, \] and \(X_ n^{(a,\epsilon)}\) be conditional processes defined by the following way: \[ P\{X_ n^{(a,\epsilon)}\in A\}=P\{X_ n\in A| \quad ...
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1981
1.Introduction. Let ξ1, ξ2,… be a sequence of independent real valued random variables with the same distribution with mean 0 and variance 1. Define the stochastic process ζn by $$\zeta _n \left( t \right) = S_{\left[ {nt} \right]} /n^{1/2} = \left( {\xi _1 + \cdots \xi _{nt} } \right)/n^{1/2} ,$$ where 0⩽t⩽1 and n = 1, 2,… The classical ...
T. Byczkowski, T. Inglot
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1.Introduction. Let ξ1, ξ2,… be a sequence of independent real valued random variables with the same distribution with mean 0 and variance 1. Define the stochastic process ζn by $$\zeta _n \left( t \right) = S_{\left[ {nt} \right]} /n^{1/2} = \left( {\xi _1 + \cdots \xi _{nt} } \right)/n^{1/2} ,$$ where 0⩽t⩽1 and n = 1, 2,… The classical ...
T. Byczkowski, T. Inglot
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Functional central limit theorems for persistent Betti numbers on cylindrical networks
Scandinavian Journal of Statistics, 2022Johannes Krebs, Christian Hirsch
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Functional limit theorems for the multi-dimensional elephant random walk
Stochastic Models, 2022Marco Bertenghi
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Some Useful Functions for Functional Limit Theorems
Mathematics of Operations Research, 1980Ward Whitt
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Central limit theorems and invariance principles for Lorenz attractors
Journal of the London Mathematical Society, 2007Mark Holland, Ian Melbourne
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Soft Tissue Tumors: Classification and Principles of Management
Ca-A Cancer Journal for Clinicians, 1968Tapas K. Das Gupta
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Annealed and quenched limit theorems for random expanding dynamical systems
Probability Theory and Related Fields, 2014Romain Aimino, Matthew Nicol
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Mixing Limit Theorems for Ergodic Transformations
Journal of Theoretical Probability, 2007Roland Zweimüller
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