Asymptotics of Optimal Constants in the Khinchine-Kahane Inequality
Explore the asymptotics of optimal constants in Khinchine-Kahane inequality, examining classical moment inequalities for Rademacher sums and recent developments in this century-old field of study.
Random Matrices and the Uses of Dyson-Schwinger Equations - III
Explore advanced topics in random matrix theory, including Dyson-Schwinger equations, operator algebra, and central limit theorems, with applications in mathematical physics.
Asymptotics of Invariant Measures of Mean-field Markov Models on Countable State Spaces
Explore asymptotics of invariant measures in mean-field Markov models on countable spaces. Gain insights into network science, probability theory, and applications in complex systems and data analysis.
Asymptotics for Graph Complex Euler Characteristics
Explore asymptotics of graph complex Euler characteristics with M. Borinsky, delving into algebra, topology, and the Grothendieck-Teichmüller group.
Geometric Variational Problems: Regularity vs Singularity Formation
Explore techniques for existence, regularity, and singularity formation in geometric problems, focusing on harmonic maps, Yang-Mills connections, and nematic liquid crystals. Learn about new gluing methods for parabolic flows.
The Mysterious Kronecker Coefficients in Algebraic Combinatorics
Explore the enigmatic Kronecker coefficients, their significance in algebraic combinatorics, and recent developments in positivity, asymptotics, and computational complexity.
Intersection Theory on Moduli Space of Super Riemann Surfaces
Explore intersection theory on super Riemann surface moduli spaces, including recursion formulas, polynomiality, and applications to JT gravity.
Asymptotics and Resurgence in Weil-Petersson Volumes
Explore non-perturbative properties of 2D gravity models using Resurgence, uncovering insights into Weil-Petersson volume asymptotics and topological gravity instanton contributions.
Asymptotics of Orthogonal Polynomial Ensembles via Integrable Methods
Explore statistical properties of random matrices and point processes, focusing on asymptotics of orthogonal polynomial ensembles and their applications in various fields of mathematics and physics.
Asymptotics for the Lower Tail of the KPZ Equation
Exploration of asymptotic behavior in the KPZ equation's lower tail, covering motivation, proofs, and generalizations for advanced mathematics researchers.
SGD in the Large - Average-Case Analysis, Asymptotics, and Stepsize Criticality
Explore average-case analysis, asymptotics, and stepsize criticality in stochastic gradient descent, with insights on optimization problems and stochastic momentum techniques.
BPHZ Renormalisation and Vanishing Subcriticality Limit of the Fractional Φ_d Model
Explores stochastic PDEs with fractional Laplacian, analyzing renormalization counterterms' behavior as parameters approach critical values. Illustrates BPHZ renormalization theory in a simplified context.
The Torsion-Limit for Algebraic Function Fields and Its Application to Arithmetic Secret Sharing
Explore algebraic function fields' torsion-limit and its impact on arithmetic secret sharing, including applications in error correction and bounds for r-torsion limits.