OOIR: Observatory of International Research

Papers

(The TQCC of Advances in Applied Mathematics is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-04-01 to 2024-04-01.)

Article	Citations
Congruences on sums of q-binomial coefficients	73
q-Supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping	38
Proof of a generalization of the (B.2) supercongruence of Van Hamme through a q-microscope	17
Degenerate r-Whitney numbers and degenerate r-Dowling polynomials via boson operators	17
Representations of degenerate Hermite polynomials	14
Combinatorial identities involving degenerate harmonic and hyperharmonic numbers	12
Weakly increasing trees on a multiset	10
On the chromatic polynomial and counting DP-colorings of graphs	9
Spectral determinations and eccentricity matrix of graphs	9
q-Deformations in the modular group and of the real quadratic irrational numbers	9
Lie algebras of matrix difference differential operators and special matrix functions	8
A unifying characterization of tree-based networks and orchard networks using cherry covers	8
q-Supercongruences from Gasper and Rahman's summation formula	8
MacMahon's equidistribution theorem for k-Stirling permutations	7
Defect of Euclidean distance degree	7
The Kazhdan-Lusztig polynomials of uniform matroids	7
Eulerian polynomials and excedance statistics	7
Shellability of face posets of electrical networks and the CW poset property	7
The Orlicz Minkowski problem for the electrostaticp-capacity	6
Constructing minimal telescopers for rational functions in three discrete variables	6
Reconstructibility of unrooted level-k phylogenetic networks from distances	6
Meeting covered elements in ν-Tamari lattices	6
The number of spanning trees of the Bruhat graph	6
Permanental generating functions and sequential importance sampling	6
Some new mock theta functions	5

Cambrian combinatorics on quiver representations (type A)	5
The pop-stack-sorting operator on Tamari lattices	5
On random stable matchings: Cyclic ones with strict preferences and two-sided ones with partially ordered preferences	5
Some relatives of the Catalan sequence	5
The sharp affine L2 Sobolev trace inequality and affine energy in the fractional Sobolev spaces	5
Lattice bijections for string modules, snake graphs and the weak Bruhat order	5
Some structural results on D -finite functions	5
Eigenvalues and clique partitions of graphs	5
Arithmetic properties of odd ranks and k-marked odd Durfee symbols	5
The (s,s + d,…,s + pd)-core partitions and the rational Motzkin paths	5
Stieltjes moment properties and continued fractions from combinatorial triangles	5
Horizontal visibility graph of a random restricted growth sequence	4
Univoque bases of real numbers: Local dimension, Devil's staircase and isolated points	4
Toric geometry of the Cavender-Farris-Neyman model with a molecular clock	4
Graph universal cycles of combinatorial objects	4
On extensions of the Loomis-Whitney inequality and Ball's inequality for concave, homogeneous measures	4
New invariants for permutations, orders and graphs	4
Phase retrieval from the norms of affine transformations	4
DP color functions versus chromatic polynomials	4
Extended chromatic symmetric functions and equality of ribbon Schur functions	4
Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions	4
A note on the extremal non-central sections of the cross-polytope	4
Complex L affine isoperimetric inequalities	4
On Motzkin numbers and central trinomial coefficients	4
The free tangent law	4
Asymptotics of degrees and ED degrees of Segre products	4
A context-free grammar for the Ramanujan-Shor polynomials	4
Explicit relations between multiple zeta values and related variants	4
Ehrhart polynomials of rank two matroids	4
Bisecting envelopes of convex polygons	4
An asymptotic thin shell condition and large deviations for random multidimensional projections	4
Infinite families of Hecke-Rogers type series and their truncated representations	4
Freezing sandpiles and Boolean threshold networks: Equivalence and complexity	4
Generalized Lucas congruences and linear p-schemes	3
The runsort permuton	3
Chromatic aberration in metalenses	3
Eulerian polynomials for subarrangements of Weyl arrangements	3
Computing differential Galois groups of second-order linear q-difference equations	3
Dualities and endomorphisms of pseudo-cones	3
On the L torsional Minkowski problem for 0 < p < 1	3
Frame matroids, toric ideals, and a conjecture of White	3
(q,c)-Derivative operator and its applications	3
Enumeration of coalescent histories for caterpillar species trees and p-pseudocaterpillar gene trees	3
Finite size corrections relating to distributions of the length of longest increasing subsequences	3
Learning algebraic decompositions using Prony structures	3
Cyclic flats of binary matroids	3
Singularities of algebraic differential equations	3
Asymptotic enumeration of linear hypergraphs with given number of vertices and edges	3
Laguerre inequalities for discrete sequences	3
Replica symmetry in upper tails of mean-field hypergraphs	3

Curved foldings with common creases and crease patterns	3
On the number of k-powers in a finite word	3
Congruences for Andrews-Beck partition statistics modulo powers of primes	3
Further bijections to pattern-avoiding valid hook configurations	3
Riordan array approach to Lagrange inversion formulas and Chung-Feller theory	3
Permutations avoiding 312 and another pattern, Chebyshev polynomials and longest increasing subsequences	3
Stack-sorting with consecutive-pattern-avoiding stacks	3
Weight enumerators for nonbinary asymmetric quantum codes and their applications	3
Friezes, weak friezes, and T-paths	3
A new capacity for the affine bounded variation	3
q-Type Lidstone expansions and an interpolation problem for entire functions	3
Avoiding abelian powers cyclically	3
On the ordering of the Markov numbers	2
Hamiltonian paths, unit-interval complexes, and determinantal facet ideals	2
The secretary problem with biased arrival order via a Mallows distribution	2
On the joint distribution of cyclic valleys and excedances over conjugacy classes of 2
Expansion formulas for multiple basic hypergeometric series over root systems	2
Blossoming bijection for bipartite pointed maps and parametric rationality of general maps of any surface	2
Factorization of KdV Schrödinger operators using differential subresultants	2
Cycle structure of random parking functions	2
Combinatorially equivalent hyperplane arrangements	2
Identities, inequalities and congruences for odd ranks and k-marked odd Durfee symbols	2
Complete edge-colored permutation graphs	2
Using edge generating function to solve monomer-dimer problem	2
Further extensions of Haglund-Remmel-Wilson identity	2
Geometric and probabilistic limit theorems in topological data analysis	2
On the Markov numbers: Fixed numerator, denominator, and sum conjectures	2
Interval parking functions	2
Set-valued Rothe tableaux and Grothendieck polynomials	2
Toric geometry of path signature varieties	2
Twist polynomials of delta-matroids	2
Pattern avoidance of [4,k]-pairs in circular permutations	2
Extended higher Herglotz functions I. Functional equations	2
Encoding and ordering X-cactuses	2
Multiple codings of self-similar sets with overlaps	2
Guessing cards with complete feedback	2
Hahn polynomials for hypergeometric distribution	2
Entropy compression versus Lovász Local Lemma	2
Randomized sequential importance sampling for estimating the number of perfect matchings in bipartite graphs	2
Delta-matroids as subsystems of sequences of Higgs lifts	2
Discrete quantitative Helly-type theorems with boxes	2
Collectively canalizing Boolean functions	2
Analytic combinatorics of coordination numbers of cubic lattices	2
The numerical algebraic geometry of bottlenecks	2
On the dimension of systems of algebraic difference equations	2
Parking function varieties for combinatorial tree models	2
Multivariate central limit theorems for random simplicial complexes	2
Quasi-Stirling polynomials on multisets	2
Spectra of twists of Cayley and Cayley sum graphs	2
Thin-shell concentration for zero cells of stationary Poisson mosaics	2
On the automorphism group of the Morse complex	2
New families of mock theta functions and partial fraction decomposition	2
Row-strict dual immaculate functions	2
Conditional independence ideals with hidden variables	2
Hopf algebras of m-permutations, (m + 1)-ary trees, and m-parking functions	2
Gelfand–Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions	2
Tropical recurrent sequences	2
Restricted intersecting families on simplicial complex	2