Results 11 to 20 of about 3,949,996 (306)
Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit [PDF]
Nature, 2017 Since the discovery of graphene, the family of two-dimensional materials has grown, displaying a broad range of electronic properties. Recent additions include semiconductors with spin–valley coupling, Ising superconductors that can be tuned into a ...
Bevin Huang +13 more
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A limit theorem for “quicksort” [PDF]
RAIRO - Theoretical Informatics and Applications, 1991 Summary: Let \(X_ n\) be the number of comparisons needed by the sorting algorithm Quicksort to sort a list of n numbers into their natural ordering. We show that \((X_ n-E(X_ n))/n\) converges weakly to some random variable Y. The distribution of Y is characterized as the fixed point of some contraction.
openaire +1 more source
Rényi divergence and the central limit theorem [PDF]
Annals of Probability, 2016 We explore properties of the $\chi^2$ and more general R\'enyi (Tsallis) distances to the normal law. In particular we provide necessary and sufficient conditions for the convergence to the normal law in the central limit theorem using these distances ...
S. G. Bobkov, G. Chistyakov, F. Götze
semanticscholar +1 more source
Privacy Loss Classes: The Central Limit Theorem in Differential Privacy
IACR Cryptology ePrint Archive, 2019 Quantifying the privacy loss of a privacy-preserving mechanism on potentially sensitive data is a complex and well-researched topic; the de-facto standard for privacy measures are ε-differential privacy (DP) and its versatile relaxation (ε, δ ...
D. Sommer +2 more
semanticscholar +1 more source
Central limit theorem and related results for the elephant random walk [PDF]
, 2016 We study the so-called elephant random walk (ERW) which is a non-Markovian discrete-time random walk on ℤ with unbounded memory which exhibits a phase transition from a diffusive to superdiffusive behavior.
Cristian F. Coletti, R. Gava, G. Schutz
semanticscholar +1 more source
Central limit theorem on hyperbolic groups [PDF]
, 2016 We prove a central limit theorem for random walks with finite variance on Gromov hyperbolic groups.
Y. Benoist, Jean-François Quint
semanticscholar +1 more source
The central limit theorem for the Smoluchovski coagulation model [PDF]
, 2010 The general model of coagulation is considered. For basic classes of unbounded coagulation kernels the central limit theorem (CLT) is obtained for the fluctuations around the dynamic law of large numbers (LLN) described by the Smoluchovski equation.
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core +1 more source
A central limit theorem for a new statistic on permutations [PDF]
, 2016 This paper does three things: It proves a central limit theorem for novel permutation statistics (for example, the number of descents plus the number of descents in the inverse). It provides a clear illustration of a new approach to proving central limit
S. Chatterjee, P. Diaconis
semanticscholar +1 more source
LIMIT THEOREMS FOR FACTOR MODELS [PDF]
Econometric Theory, 2020 This paper establishes central limit theorems (CLTs) and proposes how to perform valid inference in factor models. We consider a setting where many counties/regions/assets are observed for many time periods, and when estimation of a global parameter includes aggregation of a cross-section of heterogeneous microparameters estimated separately for each ...
Anatolyev, Stanislav, Mikusheva, Anna
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A pointwise ergodic theorem for Fuchsian groups [PDF]
, 2010 We use Series' Markovian coding for words in Fuchsian groups and the Bowen-Series coding of limit sets to prove an ergodic theorem for Cesaro averages of spherical averages in a Fuchsian ...
Bufetov, Alexander I. +3 more
core +1 more source