The square-root law does not hold in the presence of zero divisors

Authors: Kingsbury-Neuschotz, Nathaniel

Source: In Journal of Number Theory March 2026 280:481-505

Additive Combinatorics in Groups and Geometric Combinatorics on Spheres

Authors: Bajnok, Béla^Aff5

Contributors: Heuss, Sarah, editor^Aff1, Low, Richard, editor^Aff2, Wierman, John C., editor^Aff3, Hoffman, Frederick, Editor-in-Chief^Aff4

Source: Combinatorics, Graph Theory and Computing : SEICCGTC 2022, Boca Raton, USA, March 7–11. 462:1-15

The Math of Liberation

Authors: Emmerson, Parker

Subject Terms: geometry, velocity phenomenologically, curvature dimensionality, circles, Data science, Harmonic analysis, advances in science, Differential topology, insight, non-commuatative, applied mathematics, mathematical logic, logical relationships, fabricated dimensions, universal order, Markov chains, mathematical foundations, quantum mechanics, Finite element analysis, mathematical methods, phenomenological velocity, instantaneous velocity, confined, Symmetry groups, field of study, Fourier analysis, algebraic, Statistical modeling, Convex optimization, Geometric combinatorics, non-ordinary realm, language of algebra, reality primacy, l α, q, r, θ, c variable, real analysis, Set theory, Real analysis, physics, discernment, Measure theoretic probability, computation, defining dimensions, ordering logic, theoretical framework, foundations, Spectral analysis, Computational geometry, true solution, Theoretical computer science, Stochastic processes, Fluid dynamics, Fractal dynamics, Linear programming, Machine learning, real virtuality beings, logical propositions, solution, dimensional fabrication, mathematical truths, law of commutation, parameters, circumferences, special relativity, objective reality, Mathematical finance, Euclidean geometry, mathematical structures, Graph theory, conceptual structures, Differential geometric spelunking, Intuitive mathematics, Probability distributions, mathematical representation, hidden variable, conceptual system, derivatives, Cryptography, laws of nature, geometric mean velocity, cognition, validity, definitions, mathematical understanding, geometrically, information, geometric mean time unit, higher mathematics, unified theory, universal laws, motion, semantics, interpretation, theories, calculus, angular averages, Numerical linear algebra, algebraically constructed, arc length difference, Discrete mathematics, Quantum field theory, infinity, physical systems, differential velocity space, Spectral geometry, Discrete optimization, Random matrices, Vector calculus, Algebraic topology, Numerical analysis, Parallel computing, Optimization, fundamental forces, musical applications, foundation, coherent expressions, oretical infusion, articulated ideas, Number theory, transcendental essence, physical explanations, integration of form, Computational number theory, phenomenal consciousness, mathematical, interesting results, Differential geometry, philosophical essence, event ordering, philosophical framework, constrained, Graph algorithms, transcendence, non-commutativity, logic, average velocity, Functional analysis, algebraic reality, physical laws, differential equations, Representation theory, nature, extraordinary magnitude, space, Fourier series, fundamental reality, Statistical learning, transcendental principles, Fractal geometry, qualitative evaluations, semiotics, Combinatorics, scientific explanations, Computational mathematics, instantanoues velocity, universal principles, Statistical inference, gestalt cosmology, Combinatorial optimization, integrated fields, dimensionality concept, Complex analysis, Topology, height function, square root, Elliptic curves, mathematical applications, reality, Theory of computation, Hilbert spaces, empirical discoveries, specific magnitudes, relativistic transformation, theoretical concepts, applied mathematic, Lorentz coefficient, universe, algebraically implied dimension, conceptual understanding, Computational complexity, mathematical formulations, fundamental principles, Mathematical physics, mathematical limitations, Matrix analysis, quantum mechanical paradigm, real light, Differential equations, mathematical reality, velocity, architecture, applications, Math of Liberation, Complex variable theory, difference, patterns of reality, subjective understanding, variable w, Numerical optimization, physical phenomena, quantum mechanical, human understanding, mathematical equations, intellectual intuition, alternative perceptions, Measure theory, angular time allocations, fundamental laws, embedded, transcendent forms, coefficients, conceptual frameworks, spatial essence, language, mathematical predictions, Lie groups, evidence, axiomatic systems, cone expression, Non-Euclidean geometry, velocity curvature, physical universe, Probability theory, Fuzzy logic, Continuous optimization, Quaternion algebra, full real analysis, concept of number, Dynamical systems theory, Group theory, metaphysical theories, Information geometry, principles of symmetry, cosmology, arc lengths, Algebraic coding theory, knowledge, abstract concepts, mathematical facts, new mathematics, perception, hidden variables, algebraic rearrangement, Decision theory, mathematical principles, Applied probability, harmonies, scientific inquiry, Dynamical systems, subset, Complex dynamical systems, deifferentiation, individual, conceptualization, Game theory, Theory of computable functions, diagrammed, Hermite polynomials, internal logic, mathematics, scientific theories, existential limitations, geometric perspectives, Chaos theory, mathematical concepts, method of argument, conceptual systems, data, Geometric algorithms, mathematics philosophy, human intuition, mathematical models, Regression analysis, mathematical reasoning, Ordinary differential equations, theoretical insights, mathematical descriptions, Abstract algebra, difference formula, Information theory, mathematical properties, universal construct, arbitrary measures, Cryptographic protocols, physical logic, arc length, Number theory algorithms, Multivariate calculus, angle, arbitrary radius, scientific developments, experiential reality, mathematical insights, theoretical constructs, conceptual reality, transcendental idealism, Distributional semantics, philosophy, circle difference equation, observable patterns, fundamental structures, observatory dark matter, intuitive understanding, interrelated patterns, acceleration, Linear algebraic groups, empirical evidence, non-commutation, Algebraic geometry, physical theories, Nonlinear dynamics, Network theory, mathematical entities, Statistical mechanics, concept, transcendental relativity, pure mathematical

ON KAKEYA-NIKODYM TYPE MAXIMAL INEQUALITIES

Authors: XI, YAKUN

Source: Transactions of the American Mathematical Society, 2017 Sep 01. 369(9), 6351-6372.

Access URL: https://www.jstor.org/stable/90010200

Sets in ℝd determining k taxicab distances

Authors: Balaji, Vajresh, Edwards, Olivia, Loftin, Anne Marie, Mcharo, Solomon, Phillips, Lo, Rice, Alex, Tsegaye, Bineyam

Source: Involve 13, no. 3 (2020), 487-509

Subject Terms: discrete geometry, Mathematics - Metric Geometry, FOS: Mathematics, Erdős distance problem, Mathematics - Combinatorics, Metric Geometry (math.MG), Combinatorics (math.CO), 0102 computer and information sciences, 0101 mathematics, taxicab metric, geometric combinatorics, 52C10, 01 natural sciences

File Description: application/pdf

Access URL: http://arxiv.org/pdf/1911.08067
http://arxiv.org/abs/1911.08067
https://ui.adsabs.harvard.edu/abs/2019arXiv191108067B/abstract
https://arxiv.org/abs/1911.08067
https://arxiv.org/pdf/1911.08067.pdf
https://projecteuclid.org/journals/involve-a-journal-of-mathematics/volume-13/issue-3/Sets-in-mathbbRd-determining-k-taxicab-distances/10.2140/involve.2020.13.487.full
https://msp.org/involve/2020/13-3/involve-v13-n3-p09-s.pdf
https://msp.org/involve/2020/13-3/p09.xhtml
https://projecteuclid.org/euclid.involve/1596247223

Elemente de combinatorică în contexte intradisciplinare

Authors: Teleucă, M., Телеукэ, М., Sali, L.M., Сали, Л.

Source: Acta et commentationes (Ştiinţe ale Educaţiei) 27 (1) 63-71

Subject Terms: combinatorică, combinatorică geometrică, permutări, aranjamente, combinări, intradisciplinaritate, combinatorics, geometric combinatorics, permutations, arrangements, combinations, intradisciplinarity

File Description: application/pdf

Relation: info:eu-repo/grantAgreement/EC/FP7/17264/EU/Metodologia implementării TIC în procesul de studiere a științelor reale în sistemul de educație din Republica Moldova din perspectiva inter%2Ftransdisciplinarității (concept STEAM)/20.80009.0807.20; https://ibn.idsi.md/vizualizare_articol/154234; urn:issn:18570623

Availability: https://ibn.idsi.md/vizualizare_articol/154234
https://doi.org/10.36120/2587-3636.v27i1.63-71

Properties of triangular partitions and their generalizations

Authors: Galván, Alejandro B.

Source: Reports@SCM; Vol. 9 Núm. 1 (2024); 31-40 ; Reports@SCM; Vol. 9 No. 1 (2024); 31-40 ; 2385-4227

Subject Terms: enumerative combinatorics, geometric combinatorics, triangular partitions, balanced words, Combinacions (Matemàtica), Particions (Matemàtica)

File Description: application/pdf

Relation: https://revistes.iec.cat/index.php/reports/article/view/154339/151838; https://revistes.iec.cat/index.php/reports/article/view/154339

Availability: https://revistes.iec.cat/index.php/reports/article/view/154339

Congruence classes of large configurations in vector spaces over finite fields

Authors: McDonald, Alex

Source: Funct. Approx. Comment. Math. 62, no. 1 (2020), 131-141

Subject Terms: Erdos combinatorics, FOS: Mathematics, 0211 other engineering and technologies, Mathematics - Combinatorics, Combinatorics (math.CO), 02 engineering and technology, 0101 mathematics, geometric combinatorics, 52C10, 01 natural sciences

File Description: application/pdf

Access URL: http://arxiv.org/pdf/1901.09979
http://arxiv.org/abs/1901.09979
https://projecteuclid.org/euclid.facm/1572055508

Geometric realizations using regular subdivisions: Construction of many polytopes, sweep polytopes, s-permutahedra

Authors: Philippe, Eva

Contributors: Padrol Sureda, Arnau, Santos, Francisco, 1968, Universitat de Barcelona. Departament de Matemàtiques i Informàtica, STAR, ABES

Source: TDX (Tesis Doctorals en Xarxa)
TDR. Tesis Doctorales en Red
CBUC, CESCA
Tesis Doctorals-Departament-Matemàtiques i Informàtica
Dipòsit Digital de la UB
Universidad de Barcelona

Subject Terms: 515.1, Polytopes, Combinatoire géométrique, Combinatoire polyédrale, Politopos, [MATH] Mathematics [math], Polyhedral combinatorics, Triangulation, Ciències Experimentals i Matemàtiques, Subdivisions polyédrales, Politops, Geometric combinatorics, Triangulació, Polyhedral subdivisions, Poliedros, Triangulación, Poliedres, Triangulations, Polyhedra

File Description: application/pdf

Access URL: http://hdl.handle.net/10803/692995
http://hdl.handle.net/10803/692995
https://hdl.handle.net/2445/217199
https://theses.hal.science/tel-04629911v1

Ehrhart Polynomials of Alcoved Polytopes

Authors: Hilding, Anton

Subject Terms: Matematik, Ehrhartpolynom, mathematics, geometric combinatorics, Ehrhart polynomials, Ehrhartteori, alcoved polytopes, alkovpolytoper, Ehrhart theory, polytoper, polytopes, matematik, geometrisk kombinatorik, Mathematics

File Description: application/pdf

Access URL: http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-358016

Results on the Erdős–Falconer distance problem in [formula omitted] for odd q

Authors: Covert, David J.

Source: In Journal of Mathematical Analysis and Applications 15 June 2015 426(2):727-733

Geometric realizations using regular subdivisions : construction of many polytopes, sweep polytopes, s-permutahedra ; Réalisations géométriques grâce à des subdivisions régulières

Authors: Philippe, Eva

Contributors: Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Sorbonne Université, Universitat de Barcelona, Arnau Padrol, Ilia Itenberg, Francisco Santos

Source: https://theses.hal.science/tel-04629911 ; Mathematics [math]. Sorbonne Université; Universitat de Barcelona, 2024. English. ⟨NNT : 2024SORUS079⟩.

Subject Terms: Triangulations, Polyhedral combinatorics, Polyhedral subdivisions, Geometric combinatorics, Polytopes, Combinatoire polyédrale, Subdivisions polyédrales, Combinatoire géométrique, [MATH]Mathematics [math]

Relation: NNT: 2024SORUS079

Availability: https://theses.hal.science/tel-04629911
https://theses.hal.science/tel-04629911v1/document
https://theses.hal.science/tel-04629911v1/file/145920_PHILIPPE_2024_archivage.pdf

Ehrhart Polynomials of Alcoved Polytopes ; Ehrhartpolynom av Alkovpolytoper

Authors: Hilding, Anton

Subject Terms: Ehrhart theory, geometric combinatorics, mathematics, Ehrhart polynomials, polytopes, alcoved polytopes, Ehrhartteori, geometrisk kombinatorik, matematik, Ehrhartpolynom, polytoper, alkovpolytoper

File Description: application/pdf

Relation: TRITA-SCI-GRU; 2024:346

Availability: http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-358016

On Wolff's L5/2-Kakeya maximal inequality in ℝ3

Authors: Miao, Changxing^{aff1_w2aab2b8c83b1b7b1aab1b3b3Aa}, Yang, Jianwei^{aff2_w2aab2b8c83b1b7b1aab1b3b4Aa}, Zheng, Jiqiang^{aff3_w2aab2b8c83b1b7b1aab1b3b5Aa}

Source: Forum Mathematicum. 27(5):3053-3077

Availability: https://www.degruyter.com/document/doi/10.1515/forum-2013-0160/html

On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry

Authors: Greenleaf, Allan, Iosevich, Alex

Source: Anal. PDE 5, no. 2 (2012), 397-409

Subject Terms: Falconer–Erdős distance problem, distance set, 0101 mathematics, geometric combinatorics, triangles, 52C10, 42B15, 01 natural sciences, multilinear operators

File Description: application/pdf

Access URL: http://msp.org/apde/2012/5-2/apde-v5-n2-p06-s.pdf
https://msp.org/apde/2012/5-2/apde-v5-n2-p06-s.pdf
https://projecteuclid.org/download/pdf_1/euclid.apde/1513731215
https://msp.org/apde/2012/5-2/p06.xhtml
https://projecteuclid.org/euclid.apde/1513731215

animation027circle from The grasshopper problem

Authors: Olga Goulko, Adrian Kent

Subject Terms: Geometry, Thermodynamics and Statistical Physics, geometric combinatorics, spin models, Bell inequalities, statistical physics

Relation: https://figshare.com/articles/journal_contribution/animation027circle_from_The_grasshopper_problem/5576806

Availability: https://doi.org/10.6084/m9.figshare.5576806.v1
https://figshare.com/articles/journal_contribution/animation027circle_from_The_grasshopper_problem/5576806

Convex hull realizations of the multiplihedra

Authors: Stefan Forcey

Source: Topology and its Applications. 156:326-347

Subject Terms: A-infinity maps, Mathematics - Category Theory, 0102 computer and information sciences, 18D50, 55P48, 18D05, 01 natural sciences, n-category morphisms, Geometric combinatorics, Multiplihedron, FOS: Mathematics, Mathematics - Combinatorics, Algebraic Topology (math.AT), Category Theory (math.CT), Homotopy, Geometry and Topology, Mathematics - Algebraic Topology, Combinatorics (math.CO), 0101 mathematics

Access URL: http://arxiv.org/abs/0706.3226
http://www.math.uakron.edu/~sf34/multi.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0166864108002691
https://www.sciencedirect.com/science/article/pii/S0166864108002691

Sharp Lp–Lq estimates for generalized k-plane transforms

Authors: Philip T. Gressman

Source: Advances in Mathematics. 214:344-365

Subject Terms: Geometric combinatorics, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, k-plane transform, 0101 mathematics, Polynomial hypersurfaces, 01 natural sciences, X-ray transform, Radon transform

Access URL: http://arxiv.org/abs/math/0701114
https://www.sciencedirect.com/science/article/abs/pii/S0001870807000539
https://dialnet.unirioja.es/servlet/articulo?codigo=2323369
https://www.sciencedirect.com/science/article/pii/S0001870807000539

Properties of triangular partitions and their generalizations

Authors: Galván Pérez-Ilzarbe, Alejandro Basilio

Contributors: Elizalde Torrent, Sergi, Universitat Politècnica de Catalunya. Departament de Matemàtiques, Dartmouth College

Source: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Subject Terms: Geometric Combinatorics, Combinatorial analysis, Combinacions (Matemàtica), Classificació AMS::05 Combinatorics::05A Enumerative combinatorics, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria, balanced words, Enumerative Combinatorics, triangular partitions

File Description: application/pdf

Access URL: https://hdl.handle.net/2117/394535

Polytopes and $C^1$-convex bodies

Authors: Karim Adiprasito, José Alejandro Samper

Contributors: Episciences Iam, Coordination, Louis J. Billera and Isabella Novik

Source: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AT,..., Iss Proceedings (2014)

Subject Terms: Polytopes, Approximation theory, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Lower bound theorem, geometric combinatorics, 01 natural sciences, Geometric Combinatorics, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], f-vector theory, lower bound theorem, polytopes, QA1-939, convex bodies, 0101 mathematics, approximation theory, Mathematics, [math.math-co] mathematics [math]/combinatorics [math.co]

File Description: application/pdf

Access URL: https://dmtcs.episciences.org/2399/pdf
https://inria.hal.science/hal-01207607v1
https://inria.hal.science/hal-01207607v1/document
https://doi.org/10.46298/dmtcs.2399
https://doaj.org/article/39899ff9e0e94726834977d1e0bde93c
https://hal.inria.fr/hal-01207607/document
https://dmtcs.episciences.org/2399/pdf
https://dmtcs.episciences.org/2399
https://hal.inria.fr/hal-01207607
https://hal.archives-ouvertes.fr/hal-01207607v1