Results 11 to 20 of about 489,074 (284)
A nonconventional local limit theorem [PDF]
Journal of Theoretical Probability, 2015 We extend local limit theorem type results to nonconventional sums of the form $S_N=\sum_{n=1}^NF(\xi_n,\xi_{2n},...,\xi_{\ell n})$.Comment: 23 ...
Hafouta, Yeor, Kifer, Yuri
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Central limit theorem for exponentially quasi-local statistics of spin models on Cayley graphs
Journal of Statistical Physics, 2018 Central limit theorems for linear statistics of lattice random fields (including spin models) are usually proven under suitable mixing conditions or quasi-associativity.
Reddy, Tulasi Ram +2 more
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Local limit theorem in negative curvature [PDF]
Duke Mathematical Journal, 2021 77 pages, 4 figures. The new version has the same structure as the previous ones. Some arguments have been clarified and/or simplified. Typos and some imprecisions have been corrected.
Ledrappier, François, Lim, Seonhee
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Local Limit Theorem for Randomly Deforming Billiards [PDF]
Communications in Mathematical Physics, 2020 We study limit theorems in the context of random perturbations of dispersing billiards in finite and infinite measure. In the context of a planar periodic Lorentz gas with finite horizon, we consider random perturbations in the form of movements and deformations of scatterers.
Demers, Mark +2 more
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Mathematics, 2022 We consider the usual random allocation model of distinguishable particles into distinct cells in the case when there are an even number of particles in each cell. For inhomogeneous allocations, we study the numbers of particles in the first K cells.
Alexey Nikolaevich Chuprunov +1 more
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A Local limit theorem for directed polymers in random media: the continuous and the discrete case [PDF]
, 2005 In this article, we consider two models of directed polymers in random environment: a discrete model and a continuous model. We consider these models in dimension greater or equal to 3 and we suppose that the normalized partition function is bounded in L^
Vargas, Vincent
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Local Central Limit Theorem for Determinantal Point Processes [PDF]
, 2014 We prove a local central limit theorem (LCLT) for the number of points $N(J)$ in a region $J$ in $\mathbb R^d$ specified by a determinantal point process with an Hermitian kernel.
Forrester, Peter J., Lebowitz, Joel L.
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Annealed and quenched limit theorems for random expanding dynamical systems [PDF]
, 2014 In this paper, we investigate annealed and quenched limit theorems for random expanding dynamical systems. Making use of functional analytic techniques and more probabilistic arguments with martingales, we prove annealed versions of a central limit ...
Aimino, Romain +2 more
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Applied Sciences, 2023 The equilibrium state of a dynamical system can be divided into the equilibrium point and limit cycle. In this paper, the stability analysis of the equilibrium point and limit cycle of dynamical systems are presented through different and all possible ...
Bin Wei
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Berry-Esseen theorem and local limit theorem for non uniformly expanding maps [PDF]
, 2004 We prove that, in Young towers with sufficiently small tails, the speed in the central limit theorem is O(1/\sqrt{n}), and the local limit theorem holds.
Gouezel, Sebastien
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