Results 11 to 20 of about 240,621 (277)
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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Sharp Error Term in Local Limit Theorems and Mixing for Lorentz Gases with Infinite Horizon [PDF]
Communications in Mathematical Physics, 2020 We obtain sharp error rates in the local limit theorem for the Sinai billiard map (one and two dimensional) with infinite horizon. This result allows us to further obtain higher order terms and thus, sharp mixing rates in the speed of mixing of ...
F. Pène, D. Terhesiu
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Local limit theorems for subgraph counts [PDF]
Journal of the London Mathematical Society, 2020 We introduce a general framework for studying anticoncentration and local limit theorems for random variables, including graph statistics. Our methods involve an interplay between Fourier analysis, decoupling, hypercontractivity of Boolean functions, and
A. Sah, Mehtaab Sawhney
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Local limit theorems in relatively hyperbolic groups I: rough estimates [PDF]
Ergodic Theory and Dynamical Systems, 2020 This is the first of a series of two papers dealing with local limit theorems in relatively hyperbolic groups. In this first paper, we prove rough estimates for the Green function.
Matthieu Dussaule
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Local limit theorems in relatively hyperbolic groups II: the non-spectrally degenerate case [PDF]
Compositio Mathematica, 2020 This is the second of a series of two papers dealing with local limit theorems in relatively hyperbolic groups. In this second paper, we restrict our attention to non-spectrally degenerate random walks and we prove precise asymptotics of the probability $
Matthieu Dussaule
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Local limit theorems for multiplicative functions on semigroups
Lietuvos Matematikos Rinkinys, 1998 There is not abstract.
Rimantas Skrabutėnas
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Central and Local Limit Theorems for Numbers of the Tribonacci Triangle
Mathematics, 2021 In this research, we continue studying limit theorems for combinatorial numbers satisfying a class of triangular arrays. Using the general results of Hwang and Bender, we obtain a constructive proof of the central limit theorem, specifying the rate of ...
Igoris Belovas
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A Nonconventional Local Limit Theorem [PDF]
Journal of Theoretical Probability, 2015 23 ...
Hafouta, Yeor, Kifer, Yuri
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Approximate counting and sampling via local central limit theorems [PDF]
Symposium on the Theory of Computing, 2021 We give an FPTAS for computing the number of matchings of size k in a graph G of maximum degree Δ on n vertices, for all k ≤ (1−δ)m*(G), where δ>0 is fixed and m*(G) is the matching number of G, and an FPTAS for the number of independent sets of size k ≤
Vishesh Jain +3 more
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On the local limit theorems for psi-mixing Markov chains [PDF]
, 2020 In this paper we investigate the local limit theorem for additive functionals of a nonstationary Markov chain with finite or infinite second moment.
F. Merlevède, M. Peligrad, C. Peligrad
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