The accuracy of Gaussian approximations in nilpotent Lie groups

Keywords

Mathematics, Nilpotent, Gaussian, Limit (mathematics), Central limit theorem

References

• Théorème central limite sur les groupes nilpotentsPierre Crépel, Albert Raugi — 1978
• Noncommutative Harmonic AnalysisCarmona, Jacques 1934-2020, Dixmier, Jacques 1924-, Vergne, Michèle — 1986
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• Hardy spaces on homogeneous groupsGerald B. Folland, Elias M. Stein — 1982
• Probability Measures on Locally Compact GroupsHerbert Heyer — 1977
• Fourier analysis and limit theorems for convolution semigroups on a locally compact groupEberhard Siebert — 1981
• Limit theorems for probability measures on simply connected nilpotent lie groupsSiegfried Nobel — 1991
• Contractive automorphisms on locally compact groupsEberhard Siebert — 1986
• Théorème de la limite centrale sur les groupes nilpotentsAlbert Raugi — 1978
• Croissance et mouvements browniens d'un groupe de Lie nilpotent et simplement connexeBernard Roynette — 1975
• The domains of partial attraction of probabilities on groups and on vector spacesW. Hazod, H.-P. Scheffler — 1993
• Eléments de MathématiqueNicolás Bourbaki — 1964
• Rate of convergence in CLT on stratified groupsGyula Pap — 1991
• Uniqueness of embedding into a Gaussian semigroup on a nilpotent Lie groupGyula Pap — 1994
• Limit Theorems for Compositions of Distributions on Certain Nilpotent Lie GroupsA. D. Virtser — 1974
• Continuous automorphism groups on a locally compact group contracting modulo a compact subgroup and applications to stable convolution semigroupsW. Hazod, Eberhard Siebert — 1986
• Absolute continuity, singularity, and supports of Gauss semigroups on a Lie groupEberhard Siebert — 1982
• Éléments d'analyseJean Dieudonné — 1972
• NONCOMMUTATIVE HARMONIC ANALYSIS (Mathematical Surveys and Monographs 22)John Rawnsley — 1987

Cited by

• Edgeworth Expansions for Centered Random Walks on Covering Graphs of Polynomial Volume GrowthRyuya Namba — 2020
• The central limit theorem on nilpotent Lie groupsTimothée Bénard, Emmanuel Breuillard — 2023
• Local limit theorems for random walks on nilpotent Lie groupsTimothée Bénard, Emmanuel Breuillard — 2023
• RATES OF CONVERGENCE FOR CENTRAL LIMIT THEOREMS FOR RANDOM WALKS RELATED WITH THE HANKEL TRANSFORMG. Pap, M. Voit — 2007
• RANDOM WALKS ON LIE GROUPSE. Breuillard — 2006
• The local limit theorem on nilpotent Lie groupsTimoth'ee B'enard, E. Breuillard — 2023

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