Schoenberg Correspondence and Semigroup of k-(super)positive Operators
Explore Schoenberg correspondence and semigroups of k-(super)positive operators, extending LKGS theorem to characterize generators of various positive maps in quantum information theory.
Free Wreath Products as Fundamental Graph C*-algebras
Explore free wreath products of compact quantum groups, their operator algebras, and properties through graph C*-algebra constructions.
From the Littlewood-Paley-Stein Inequality to the Burkholder-Gundy Inequality
Explore optimal constants in Littlewood-Paley-Stein inequality through special diffusion semi-group construction, relating G-function to martingale square function in various cases.
Non-commutative Pointwise Ergodic Theorem for Actions of Amenable Groups
Explore generalizations of Birkhoff's theorem for amenable group actions and von Neumann algebras, focusing on non-commutative maximal functions and operator families.
Cluster Duality and Non-Holomorphic Spectral Curves
Explore cluster duality, geometric interpretations of tropical points, and their connections to local systems on curves through graphs, Lagrangian coverings, and affine group-valued local systems.
On the Positivity of Meijer G-Functions
Explore positivity of Meijer G-functions, logarithmic infinite divisibility, and quasi infinite divisibility. Extend findings to Fox H-Functions.
Kontsevich's Star-Product up to Order Seven for Affine Poisson Brackets
Explore Kontsevich's star-product formula for affine Poisson brackets, examining its expansion up to seventh order and investigating the mechanism of associativity in higher orders.
Combinatorics of the Amplituhedron
Explore the amplituhedron's connections to cluster algebras, matroids, and combinatorics in this gentle introduction by Lauren Williams from Harvard University.
Reddening Sequences for Cluster Algebras
Explore reddening sequences in cluster algebras, their implications, and known cases, delving into finite dimensionality, invariants, and canonical bases.
Introduction to Resurgence in Asymptotic Expansions - Lecture
Explore resurgence in Stirling formula and quantum dilogarithm, examining asymptotic expansions and the interplay between large and small coefficients in mathematical series.
Hausdorff Moment Problems for Combinatorial Numbers: Heuristics via Meijer Functions
Explore Hausdorff moment problems for combinatorial sequences, focusing on integral ratios of factorials. Learn techniques to solve these problems and discover patterns in Meijer G-function encodings.
Phase Transitions of Composition Schemes and Their Universal Limit Laws
Explore phase transitions in composition schemes, analyzing critical cases and their impact on asymptotic behavior. Uncover rich limit laws and universal properties in combinatorial structures.
Random Lattices as Sphere Packings
Explore lattice-sum functions and their applications in sphere packing density, including Siegel's mean value theorem and recent advancements in optimal packing bounds.
A Taste of Conformal Prediction - Principles and Recent Advances
Explore conformal inference methods for exact prediction intervals, covering basic principles and recent advancements in quantitative and categorical label applications.
Sampling through Exploration Exploitation in Markov Chain Monte Carlo
Explore an innovative Markov chain Monte Carlo algorithm combining global proposals and mobile moves for efficient, parallelizable sampling in various applications.
The Bridge from Mathematical to Digital and Back
Explore the evolving landscape of computational analysis, signal processing, and machine learning. Gain insights on bridging the gap between mathematical and digital communities.
Multiscale Basis Dictionaries and Scattering Networks on Simplicial Complexes
Explore multiscale basis dictionaries and scattering networks on simplicial complexes, focusing on HGLET and GHWT. Learn applications in coauthorship/citation complex and article classification.
Interplay Between Notions of Convexity in Complex, Symplectic and Contact Geometries
Explore the interplay between convexity notions in complex, symplectic, and contact geometries. Gain insights into pseudo-convexity, rational convexity, and their geometric counterparts.
Stein and Weinstein Manifolds - An Introduction to Topological and Symplectic Aspects
Explore topological and symplectic aspects of Stein manifolds, including handlebody construction, Weinstein manifolds, and flexibility versus rigidity in complex variables theory.
Recent Developments in Constant Mean Curvature Hypersurfaces - Part II
Explore recent developments in constant mean curvature hypersurfaces, focusing on min-max theorems and the half-volume spectrum. Gain insights into advanced geometric analysis concepts.
Categorification of Rule Algebras in Compositional Rewriting Systems
Explore a novel approach to formalizing operations in compositional rewriting systems, focusing on double categories and presheaf calculus for counting rewrite realizations.