Inverse K-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type by Takafumi Kouno, Satoshi Naito, Daniel Orr, Daisuke Sagaki

“…By a result of Stembridge, our formula completely determines the inverse Chevalley formula for arbitrary weights in simply laced type except for type $E_8$ . The combinatorics of our formula is governed by the quantum Bruhat graph, and the proof is based on a limit from the double affine Hecke algebra. …”
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On large N limit of symmetric traceless tensor models by Igor R. Klebanov, Grigory Tarnopolsky

“…In this paper we consider the combinatorics of a large N theory of one fully symmetric and traceless rank-3 tensor with the tetrahedral quartic interaction; this model has a single O(N ) symmetry group. …”
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COMBINATORIAL SET OF LEXICO-GRAMMATICAL CLASSES OF NOUNS IN THE RUSSIAN LANGUAGE by Mariya L. Lapteva, Natalya V. Lukina

“…Semantic structures of Russian substantives are described as apt to undergo six types of changes, which reflect combinatorics of lexical and grammatical categories of polysemantic nouns: concreteness – abstractness, concreteness – collectiveness, abstractness – concreteness, abstractness – collectiveness, collectiveness – abstractness, collectiveness – concreteness. …”
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Relative rank and regularization by Amichai Lampert, Tamar Ziegler

“…The main result allows us to replace Schmidt rank with relative rank in many key applications in combinatorics, algebraic geometry, and algebra. For example, we prove that any collection of polynomials $\mathcal P=(P_i)_{i=1}^c$ of degrees $\le d$ in a polynomial ring over an algebraically closed field of characteristic $>d$ is contained in an ideal $\mathcal I({\mathcal Q})$ , generated by a collection ${\mathcal Q}$ of polynomials of degrees $\le d$ which form a regular sequence, and ${\mathcal Q}$ is of size $\le A c^{A}$ , where $A=A(d)$ is independent of the number of variables.…”
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Ideas of Ulrich Beck: Classic Context, Modern Discussion and Possible Synthesis by Illya Kononov

“…The article shows that Ulrich Beck's talent is an ability to contextual combinatorics. Apparently, he personally introduced a small number of concepts that became the achievement of sociology ("Second Modern", "meta-game", "meta-power"). …”
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Bernhard Riemann, a(rche)typical mathematical-physicist? by Emilio eElizalde

“…Against the (unfortunately rather widespread) trend---which predominantly dominated national scientific societies in Europe during the last Century---of strictly classifying the work ofscientists with the aim to constrain them to separated domains of knowledge,without any possible interaction among those and often evenfighting against each other (and which, no doubt, was in part responsible forthe decline of European in favor of American science), it will be here argued, using Riemann as a model, archetypical example, that good research transcends any classification.Its uses and applications arguably permeate all domains, subjects and disciplines one can possibly define, to the point that it can be considered to be universally useful.After providing a very concise review of the main publications of Bernhard Riemann on physical problems, some connections between Riemann's papers and contemporary physics will be considered:(i) the uses of Riemann's work on the zeta function for devising applications to the regularization of quantum field theories in curved space-time, in particular, of quantum vacuum fluctuations;(ii) the uses of the Riemann tensor in general relativity and in recentgeneralizations of this theory, which aim at understanding thepresently observed acceleration of the universe expansion (the dark energy issue).Finally, it will be argued that mathematical physics, which was yet not long ago a model paradigm for interdisciplinary activity---and had a very important pioneering role in this sense---is now quicklybeing surpassed by the extraordinarily fruitful interconnections which seem to pop up from nothing every day and simultaneously involve several disciplines, in the classical sense, including genetics, combinatorics, nanoelectronics, biochemistry, medicine, and even ps…”
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Fast Calculation of Bernoulli Numbers by Rustem R. Aidagulov, Sergei T. Glavatsky

“…Bernoulli numbers are often found in mathematical analysis, number theory, combinatorics, and other areas of mathematics. In some monographs on number theory there are separate chapters devoted only to Bernoulli numbers and their properties. …”
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Colourings of (k-r,k)-trees by M. Borowiecki, H. P. Patil

“…Pippert, On the structure of \((m,n)\)-trees, Proc. 8th S-E Conf. Combinatorics, Graph Theory and Computing, 1977, 75-80]), and which are a natural extension of \(k\)-trees for \(j=k-1\). …”
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European legislation and live bivalve molluscs: Are the criteria for microbiological safety matching with the criteria for sanitary classification of harvesting areas? by Cesare Ciccarelli, Melina Leinoudi, Angela Marisa Semeraro, Vittoria Di Trani, Elena Ciccarelli, Gaia Consorti

“…This theoretical study, based on combinatorics and Bayes’ theorem for conditional probability, investigates the consistency between these two criteria and aims to determine the probability of obtaining false compliant and non-compliant results when applying the safety criterion test to shellfish placed on the market. …”
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A fresh look at the nested soft-collinear subtraction scheme: NNLO QCD corrections to N-gluon final states in q q ¯ $$ q\overline{q} $$ annihilation by Federica Devoto, Kirill Melnikov, Raoul Röntsch, Chiara Signorile-Signorile, Davide Maria Tagliabue

“…Our approach can be extended to describe arbitrary processes at NNLO in QCD; the largest remaining challenge at this point is the combinatorics of quark and gluon collinear limits.…”
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Few distinct distances implies no heavy lines or circles by Sheffer, Adam, Zahl, Joshua, de Zeeuw, Frank

“…To prove our bound for the case of lines we combine this framework with a theorem from additive combinatorics, and for our bound for the case of circles we combine it with some basic algebraic geometry and a recent incidence bound for plane algebraic curves by Wang, Yang, and Zhang [20]. …”
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Properties of Non-symmetric Macdonald Polynomials at $$q=1$$... by Alexandersson, Per, Sawhney, Mehtaab

“…The common theme in this project is the application of basement-permuting operators as well as combinatorics on fillings, by applying results in a previous article by Per Alexandersson.…”
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Gromov’s Amenable Localization and Geodesic Flows by Katz, Gabriel

“…Such flows generate stratifications of SM, governed by rich universal combinatorics. The stratification reflects the ways in which the flow trajectories are tangent to the boundary $$\partial (SM)$$ ∂ ( S M ) . …”
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MIGHT BE DUPLICATE: Gromov’s Amenable Localization and Geodesic Flows by Katz, Gabriel

“…Such flows generate stratifications of SM, governed by rich universal combinatorics. The stratification reflects the ways in which the flow trajectories are tangent to the boundary $$\partial (SM)$$ ∂ ( S M ) . …”
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Influences in Mixing Measures by Koehler, Frederic, Lifshitz, Noam, Minzer, Dor, Mossel, Elchanan

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Extremal results in sparse pseudorandom graphs by Conlon, David, Fox, Jacob, Zhao, Yufei

“…Szemeredi's regularity lemma is a fundamental tool in extremal combinatorics. However, the original version is only helpful in studying dense graphs. …”
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Parikh Matrices by Ng , Yin Yin

“…Barubaru ini, Mateescu et.al(2001) memperkenalkan suatu teknik yang boleh dijelas dengan mudah, iaitu rekaan segi empat This dissertation titled "Parikh Matrices" is a study on words and their combinatorial properties and falls under the broad topic of "Combinatorics on Words". A word, mathematically speaking, is a sequence of symbols taken from an alphabet which is a set of symbols. …”
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خوارزميتان فعالتان لحساب دائم مصفوفة باستخدام نظرية البيانات الموجهة by أحمد الكردي

“…Because of the importance of matrices permanents in several applications such as Combinatorics, Graph theory, Statistics and Probability, the researchers started to find closed and analytical forms for computing the permanent of matrix. …”
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На кръстопътя на езиковите теории: глаголната комбинаторика by Цветомира [TSvetomira] Венкова [Venkova]

“… At the crossroads of linguistic theories: Verb combinatorics This paper discusses the limitations of syntactic research conducted within a single theoretical framework. …”
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Combinatorial Models of the Distribution of Prime Numbers by Vito Barbarani

“…In the first one, the combinatorics of a new class of randomly generated objects, exhibiting the same properties as the distribution of prime numbers, is solved and the probability distribution of the combinatorial counterpart of the <i>n</i>-th prime number is derived together with an estimate of the prime-counting function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>π</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula>. …”
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