The isoperimetric problem for convex hulls and large deviations rate functionals of random walks

DOI10.1016/J.SPA.2024.104519MaRDI QIDQ6657404

Vladislav V. Vysotsky

Publication date: 6 January 2025

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

convex hulllarge deviationsisoperimetric problemrandom walkconvexificationEuler-Lagrange equationrearrangement inequalityrate functional

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Sums of independent random variables; random walks (60G50) Inequalities and extremum problems involving convexity in convex geometry (52A40) Large deviations (60F10) Optimality conditions for free problems in one independent variable (49K05)

Cites Work

• Title not available (Why is that?)
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• Convex hulls of random walks and their scaling limits
• On isoperimetric inequalities in Minkowski spaces
• A mass transportation approach to quantitative isoperimetric inequalities
• Maximal volume enclosed by plates and proof of the chessboard conjecture
• Local asymptotic laws for the Brownian convex hull
• On convex limit sets and Brownian motion
• When is the rate function of a random vector strictly convex?
• Large deviations of convex hulls of planar random walks and Brownian motions
• Convex hulls of random walks, hyperplane arrangements, and Weyl chambers
• Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
• Probability with Martingales
• Bonnesen-Style Isoperimetric Inequalities
• The isoperimetric inequality
• Isoperimetric inequalities for convex hulls and related questions
• The Wulff theorem revisited
• Convex Analysis
• The Isoperimetric Problem in the Minkowski Plane
• On a Problem of S. Ulam
• Iterated-logarithm laws for convex hulls of random walks with drift

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