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1. Statistical–Dynamical Seasonal Forecast of Western North Pacific and East Asia Landfalling Tropical Cyclones using the GFDL FLOR Coupled Climate Model

   https://doi.org/10.1175/JCLI-D-16-0487.1  

   Zhang, Wei ; Vecchi, Gabriel A. ; Villarini, Gabriele ; Murakami, Hiroyuki ; Gudgel, Richard ; Yang, Xiaosong ( March 2017 , Journal of Climate)
2. 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.)
3. Potential Intensification Rate of Tropical Cyclones in a Simplified Energetically Based Dynamical System Model: An Observational Analysis

   https://doi.org/10.1175/JAS-D-21-0217.1  

   Xu, Jing ; Wang, Yuqing ( April 2022 , Journal of the Atmospheric Sciences)

   Abstract In a recent study by Wang et al. that introduced a dynamical efficiency to the intensification potential of a tropical cyclone (TC) system, a simplified energetically based dynamical system (EBDS) model was shown to be able to capture the intensity dependence of TC potential intensification rate (PIR) in both idealized numerical simulations and observations. Although the EBDS model can capture the intensity dependence of TC intensification as in observations, a detailed evaluation has not yet been done. This study provides an evaluation of the EBDS model in reproducing the intensity-dependent feature of the observed TC PIR based on the best track data for TCs over the North Atlantic and central, eastern, and western North Pacific during 1982–2019. Results show that the theoretical PIR estimated by the EBDS model can capture basic features of the observed PIR reasonably well. The TC PIR in the best track data increases with increasing relative TC intensity [intensity normalized by its corresponding maximum potential intensity (MPI)] and reaches a maximum at an intermediate relative intensity around 0.6, and then decreases with increasing relative intensity to zero as the TC approaches its MPI, as in idealized numerical simulations. Results also show that the PIR for a given relative intensity increases with the increasing MPI and thus increasing sea surface temperature, which is also consistent with the theoretical PIR implied by the EBDS model. In addition, future directions to include environmental effects and make the EBDS model applicable to predict intensity change of real TCs are also discussed. 

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4. A Dynamical Mechanism for Secondary Eyewall Formation in Tropical Cyclones

   https://doi.org/10.1175/JAS-D-18-0042.1  

   Miyamoto, Yoshiaki ; Nolan, David S. ; Sugimoto, Norihiko ( November 2018 , Journal of the Atmospheric Sciences)
5. A Dynamical Initialization Scheme for Tropical Cyclones under the Influence of Terrain

   https://doi.org/10.1175/WAF-D-17-0139.1  

   Liu, Hao-Yan ; Wang, Yuqing ; Xu, Jing ; Duan, Yihong ( June 2018 , Weather and Forecasting)