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Isoperimetric problems for convex bodies and a localization lemma
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Random walks in a convex body and an improved volume algorithm
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Extremum Problems with Inequalities as Subsidiary Conditions
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�ber eine Klasse superadditiver Mengenfunktionale von Brunn-Minkowski-Lusternikschem Typus
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Ungleichungen f�r den Inhalt von Trennfl�chen
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The Brunn-Minkowski inequality in Gauss space
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Computing the volume of convex bodies: a case where randomness provably helps
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Slicing Convex Bodies-Bounds for Slice Area in Terms of the Body's Covariance
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The mixing rate of Markov chains, an isoperimetric inequality, and computing the volume
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A random polynomial-time algorithm for approximating the volume of convex bodies
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A random polynomial time algorithm for approximating the volume of convex bodies
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Zerlegung konvexer Körper durch minimale Trennflächen.
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Proceedings of Symposia in Applied Mathematics.
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The Brunn-Minkowski inequality
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Beyond traditional Curvature-Dimension I: New model spaces for isoperimetric and concentration inequalities in negative dimension
inferred← citeshttps://doi.org/10.1090/tran/6857openalex-snapshot
Isotropic measures and stronger forms of the reverse isoperimetric inequality
inferred← citeshttps://doi.org/10.1090/tran/7299openalex-snapshot
Strengthened volume inequalities for $L_p$ zonoids of even isotropic measures
inferred← citeshttps://doi.org/10.1090/tran/8976openalex-snapshot
A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures
inferred← citeshttps://doi.org/10.1093/biomet/asad060openalex-snapshot
On geometric convergence for the Metropolis-adjusted Langevin algorithm under simple conditions
inferred← citeshttps://doi.org/10.1093/imrn/rnaa336openalex-snapshot
A CLT in Stein’s Distance for Generalized Wishart Matrices and Higher-Order Tensors
inferred← citeshttps://doi.org/10.1093/imrn/rnab142openalex-snapshot
On the Local Version of the Log-Brunn–Minkowski Conjecture and Some New Related Geometric Inequalities
inferred← citeshttps://doi.org/10.1093/imrn/rnad198openalex-snapshot
Towards Hadwiger’s Conjecture via Bourgain Slicing
inferred← citeshttps://doi.org/10.1093/imrn/rnae256openalex-snapshot
A Note on the Spectral Gap for Log-Concave Probability Measures on Convex Bodies
inferred← citeshttps://doi.org/10.1093/imrn/rnu040openalex-snapshot
On the Mean-Width of Isotropic Convex Bodies and their Associated Lp-Centroid Bodies
inferred← citeshttps://doi.org/10.1093/imrn/rny070openalex-snapshot
Almost Euclidean Isoperimetric Inequalities in Spaces Satisfying Local Ricci Curvature Lower Bounds
inferred← citeshttps://doi.org/10.1093/imrn/rnz278openalex-snapshot
Total Variation Distance Estimates via L2-Norm for Polynomials in Log-concave Random Vectors
inferred← citeshttps://doi.org/10.1109/bigdata.2016.7840696openalex-snapshot
TruthCore: Non-parametric estimation of truth from a collection of authoritative sources
inferred← citeshttps://doi.org/10.1109/focs.2006.28openalex-snapshot
Fast Algorithms for Logconcave Functions: Sampling, Rounding, Integration and Optimization
inferred← citeshttps://doi.org/10.1109/focs.2010.19openalex-snapshot
Learning Convex Concepts from Gaussian Distributions with PCA
inferred← citeshttps://doi.org/10.1109/focs.2011.31openalex-snapshot
Enumerative Lattice Algorithms in any Norm Via M-ellipsoid Coverings
inferred← citeshttps://doi.org/10.1109/focs.2015.26openalex-snapshot
Heavy-Tailed Independent Component Analysis
inferred← citeshttps://doi.org/10.1109/focs.2017.96openalex-snapshot
Eldan's Stochastic Localization and the KLS Hyperplane Conjecture: An Improved Lower Bound for Expansion
inferred← citeshttps://doi.org/10.1109/focs54457.2022.00018openalex-snapshot
Localization Schemes: A Framework for Proving Mixing Bounds for Markov Chains (extended abstract)
inferred← citeshttps://doi.org/10.1109/isit57864.2024.10619097openalex-snapshot
Dimensional Discrete Entropy Power Inequalities for Log-Concave Random Vectors
inferred← citeshttps://doi.org/10.1109/isit62367.2026.11653648openalex-snapshot
Stability and Equality in the Entropy Power Inequality and in one of its Discrete Counterparts
inferred← citeshttps://doi.org/10.1109/sfcs.1994.365726openalex-snapshot
Markov chains and polynomial time algorithms
inferred← citeshttps://doi.org/10.1109/sfcs.1997.646135openalex-snapshot
An improved worst-case to average-case connection for lattice problems
inferred← citeshttps://doi.org/10.1109/sfcs.2001.959905openalex-snapshot
On the average-case hardness of CVP
inferred← citeshttps://doi.org/10.1109/sfcs.2002.1181888openalex-snapshot
A spectral algorithm for learning mixtures of distributions
inferred← citeshttps://doi.org/10.1109/sfcs.2003.1238236openalex-snapshot
Logconcave functions: geometry and efficient sampling algorithms
inferred← citeshttps://doi.org/10.1109/sfcs.2003.1238237openalex-snapshot
Simulated annealing in convex bodies and an O*(n/sup 4/) volume algorithm
inferred← citeshttps://doi.org/10.1109/tit.2006.890699openalex-snapshot
An Inequality for Nearly Log-Concave Distributions With Applications to Learning
inferred← citeshttps://doi.org/10.1109/tit.2016.2620470openalex-snapshot
Entropy Bounds on Abelian Groups and the Ruzsa Divergence
inferred← citeshttps://doi.org/10.1109/tit.2025.3548961openalex-snapshot
The Strong Data Processing Inequality Under the Heat Flow
inferred← citeshttps://doi.org/10.1112/jlms.12429openalex-snapshot
Strengthened inequalities for the mean width and the ℓ‐norm
inferred← citeshttps://doi.org/10.1112/plms/pds011openalex-snapshot
Invariances in variance estimates
inferred← citeshttps://doi.org/10.1112/s0025579310001361openalex-snapshot
SPECTRAL GAP FOR SOME INVARIANT LOG‐CONCAVE PROBABILITY MEASURES
inferred← citeshttps://doi.org/10.1112/s0025579311002063openalex-snapshot
ON THE MONOTONICITY OF THE EXPECTED VOLUME OF A RANDOM SIMPLEX
inferred← citeshttps://doi.org/10.1112/s0025579311006085openalex-snapshot
ON THE EXISTENCE OF SUPERGAUSSIAN DIRECTIONS ON CONVEX BODIES
inferred← citeshttps://doi.org/10.1112/s0025579314000369openalex-snapshot
CONCAVITY PROPERTIES OF EXTENSIONS OF THE PARALLEL VOLUME
inferred← citeshttps://doi.org/10.1112/s0025579316000061openalex-snapshot
MORE ON LOGARITHMIC SUMS OF CONVEX BODIES
inferred← citeshttps://doi.org/10.1134/s0016266321040031openalex-snapshot
Localization for Hyperbolic Measures on Infinite-Dimensional Spaces
inferred← citeshttps://doi.org/10.1134/s1064562415010238openalex-snapshot
Polynomials on spaces with logarithmically concave measures
inferred← citeshttps://doi.org/10.1134/s1064562415030138openalex-snapshot
Localization for infinite-dimensional hyperbolic measures
inferred← citeshttps://doi.org/10.1134/s1064562415060137openalex-snapshot
Isoperimetric inequality and the poincare inequality for distributions of polynomials on convex compact set
inferred← citeshttps://doi.org/10.1134/s1064562415060162openalex-snapshot
Lower estimates of measure of deviation of polynomials from mathematical expectations
inferred← citeshttps://doi.org/10.1137/1.9781611973402.90openalex-snapshot
A Cubic Algorithm for Computing Gaussian Volume
inferred← citeshttps://doi.org/10.1137/1.9781611974782.82openalex-snapshot
Statistical Query Algorithms for Stochastic Convex Optimization
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