Linear Stability of the Brunn-Minkowski Inequality
Delve into advanced mathematical concepts exploring the linear stability of Brunn-Minkowski inequality, examining volume control in convex geometry and its connections to additive combinatorics.
A Shannon-Kneser-Poulsen Theorem for Geometric Information Theory
Explore geometric principles and information theory through the lens of the Kneser-Poulsen conjecture, examining volume changes in ball unions and their implications for noise channel communication.
Marked Length Spectral Invariants of Birkhoff Billiard Tables and Compactness of Isospectral Sets
Delve into advanced spectral geometry concepts, exploring marked length spectra of planar billiard tables, Mather's beta function, and isospectral compactness in dynamic systems.
Quadratic Stability of the Brunn-Minkowski Inequality
Delve into advanced mathematical concepts exploring the quadratic stability of Brunn-Minkowski inequality, its geometric implications, and connections to related inequalities in convex geometry.
A Reverse Minkowski Theorem in Lattice Theory and Geometry
Explore the groundbreaking reverse Minkowski theorem and its applications in complexity theory, cryptography, and algorithms, building on fundamental concepts in geometry of numbers.
Spectral Gaps for Measures on the Cube via Generalized Stochastic Localization Process
Explore advanced stochastic localization processes and their applications in high-dimensional probability, focusing on non-Gaussian frameworks and spectral gaps of discrete measures.