More Like this

1. Concentration functions and entropy bounds for discrete log-concave distributions

   https://doi.org/10.1017/S096354832100016X  

   Bobkov, S. G. ; Marsiglietti, A. ; Melbourne, J. ( January 2022 , Combinatorics probability and computing)
2. Sharp Rosenthal-type inequalities for mixtures and log-concave variables

   Chasapis, G. ; Eskenazis, A. ; Tkocz, T. ( January 2022 , Bulletin of the London Mathematical Society)
3. Sharp Rosenthal‐type inequalities for mixtures and log‐concave variables

   https://doi.org/10.1112/blms.12786  

   Chasapis, Giorgos ; Eskenazis, Alexandros ; Tkocz, Tomasz ( December 2022 , Bulletin of the London Mathematical Society)

   We obtain Rosenthal‐type inequalities with sharp constants for moments of sums of independent random variables which are mixtures of a fixed distribution. We also identify extremizers in log‐concave settings when the moments of summands are individually constrained.

    

   more » « less
4. Bruhat Interval Polytopes, 1-Skeleton Lattices, and Smooth Torus Orbit Closures; The Distribution of Descents on Nonnesting Permutations; Pop, Crackle, Snap; Studying Triangulations of Even-Dimensional Cyclic Polytopes via Directed Graphs; Bijections between Planar Maps and Planar Linear Normal λ-Terms with Connectivity Condition; An Algebraic Perspective on Ramsey Numbers; Faces of Directed Edge Polytopes; On the Topology of Cut Complexes of Graphs; An SL4-Web Basis from Hourglass Plabic Graphs; The Associative-Commutative Spectrum of a Binary Operation; Automorphisms of Undirected Bruhat Graphs; Extremal Tensor Products of Demazure Crystals are Direct Sums of Demazure Crystals; Effective Algebraicity for Solutions of Systems of Functional Equations with one Catalytic Variable; Volume Rigidity and Algebraic Shifting; Invariant Theory for the Free Left-Regular Band and a q-Analogue; Rowmotion on 321-Avoiding Permutations; Sums of Weighted Lattice Points of Polytopes; Noncrossing Partitions of an Annulus; Triangular-Grid Billiards and Plabic Graphs; Promotion for Fans of Dyck Paths; Deficit and; Combinatorial Formulas for Shifted Dual Stable Grothendieck Polynomials; Tautological Classes of Matroids; A Realization of Poset Associahedra; Chromatic Quasisymmetric Functions and Noncommutative P-symmetric Functions; Compact Hyperbolic Coxeter d-Polytopes with d+4 Facets and Related Dimension Bounds; Balanced Shifted Tableaux; The Tropical Critical Points of an Affine Matroid; Barrett-Johnson Inequalities for Totally Nonnegative Matrices; From Kreweras to Gessel: A Walk through Patterns in the Quarter Plane; Refined Canonical Stable Grothendieck Polynomials and Their Duals; Quasisymmetric Harmonics of the Exterior Algebra;;; Jack Characters as Generating Series of Bipartite Maps and Proof of Lassalle's Conjecture; Limit Shapes for Skew Howe Duality; Hilbert-Poincaré Series of Matroid Chow Rings and Intersection Cohomology; A Murnaghan-Nakayama Rule for Quantum Cohomology of the Flag Manifold; On the A2 Andrews-Schilling-Warnaar Identities; Hook Length Bias in Odd versus Distinct Partitions; Horizontal-Strip LLT Polynomials; Cyclic Shuffle-Compatibility and Cyclic Quasisymmetric Functions; Set-Valued Tableaux for Macdonald Polynomials; Inequalities for $f^*$-vectors of Lattice Polytopes; Degenerations of the Grassmannian via Matroidal Subdivisions of the Hypersimplex; Castelnuovo-Mumford Regularity for 321-Avoiding Kazhdan-Lusztig Varieties; The Algebra of Extended Peaks; The BCFW Tiling of the Amplituhedron; Pizza and 2-Structures; Robertson's Conjecture in Algebraic Topology; Birational Rowmotion over Noncommutative Rings; Wreath Macdonald Operators; The Isomorphism Problem for Cominuscule Schubert Varieties; 0-Hecke Modules, Quasisymmetric Functions, and Peak Functions in Type B; Modules of the 0-Hecke Algebras for Genomic Schur Functions; Minimal Skew Semistandard Young Tableaux and the Hillman-Grassl Correspondence; Stable-Limit Non-Symmetric Macdonald Functions in Type A; Divisors, Orbit Harmonics, and DT Invariants; Acyclic Pipe Dreams, Subword Complexes and Lattice Quotients of Weak Order Intervals; A Combinatorial Interpretation of the Noncommutative Inverse Kostka Matrix; Polyhedral and Tropical Geometry of Flag Positroids; A new Perspective on Positivity in; Fine Polyhedral Adjunction Theory; Generic Curves and Non-Coprime Catalans; Partial Permutohedra; A Cocharge Formula for the Δ-Springer Modules; Shifted key polynomials; Chainlink Polytopes; Combinatorial Interpretations of the Macdonald Identities for Affine Root Systems; Alternating Sign Matrices and Descending Plane Partitions: a Linear Number of Equivalent Statistics; The Multispecies Zero Range Process and Modified Macdonald Polynomials; A Generalized RSK for Enumerating Linear Series on n-pointed Curves; A Unipotent Realization of the Chromatic Quasisymmetric Function; A Pipe Dream Perspective on Totally Symmetric Self-Complementary Plane Partitions; An Embedding of the Skein Action on Set Partitions into the Skein Action on Matchings; Recursions and Proofs in Cataland; Polyhedral Models for K-Theory of Toric and Flag Varieties; The Kromatic Symmetric Function: A K-Theoretic Analogue of XG; Foata-Like Bijections and science Fiction; Double Dimers and Super Ptolemy Relations; Generalized Pitman-Stanley Flow Polytopes; On Linear Intervals in the alt ν-Tamari Lattices; RSK for 3-Free Posets; Towards Butler's Conjecture; Semistandard Parking Functions and a Finite Shuffle Theorem; A Catalanimal Formula for Macdonald Polynomials; Combinatorial Invariance for Lower Intervals Using Hypercube Decompositions; Equivariant Log-Concavity of Independence Sequences of Claw-Free Graphs; Stembridge Codes and Chow Rings; Interpolating between Classic and Bumpless Pipe Dreams; Rigorous Analytic Combinatorics in Several Variables in SageMath; A Bijectionist's Toolkit

   Christian Gaetz ; Sergi Elizalde ; Colin Defant and Nathan Williams ; Nicholas J. Williams ; Wenjie Fang ; Jesús A. De Loera and William J. Wesley ; Yasuhide Numata, Yusuke Takahashi ; Margaret Bayer, Mark Denker ; Christian Gaetz, Oliver Pechenik ; Jia Huang and Erkko Lehtonen ; et al ( April 2023 , Séminaire lotharingien de combinatoire)

   Krattenthaler, Christian ; Thibon, Jean-Yves (Ed.)
5. Adaptation in multivariate log-concave density estimation

   https://doi.org/10.1214/20-AOS1950  

   Feng, Oliver Y. ; Guntuboyina, Adityanand ; Kim, Arlene K. ; Samworth, Richard J. ( February 2021 , The Annals of Statistics)

   null (Ed.)