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INVENTIONES MATHEMATICAE, ISSN 0020-9910, 03/2020, Volume 219, Issue 3, pp. 1009 - 1068
We study the Newton polytopes of determinants of square matrices defined over rings of twisted Laurent polynomials. We prove that such Newton polytopes are... 
POLYNOMIALS | MATHEMATICS | FINITE | EXTENSIONS | VALUATIONS | RINGS | NORM | ALEXANDER | GEOMETRIC INVARIANTS | CONJECTURE | Polytopes | Theorems | Mathematical analysis | Existence theorems | Group theory | Rational functions | Determinants | Polynomials | Invariants | Rings (mathematics)
Journal Article
Cellular and molecular life sciences : CMLS, ISSN 1420-682X, 05/2020, Volume 77, Issue 10, pp. 1859 - 1878
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 10/2019, Volume 198, Issue 5, pp. 1835 - 1860
.... For an operator, this corresponds to extending its action to larger domains, hopefully to the largest possible such domain (i.e... 
Primary 44A15 | Rearrangement invariant space | Secondary 47A53 | Fredholm operator | Finite Hilbert transform | 46E30 | 47B34 | Mathematics, general | Mathematics | Airfoil equation
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 11/2019, Volume 372, Issue 11, pp. 8195 - 8248
The Delta Conjecture of Haglund, Remmel, and Wilson predicts the monomial expansion of the symmetric function \Delta '_{e_{k-1}} e_n, where k \leq n are... 
MATHEMATICS | FINITE-GROUPS | Flag variety | INVARIANTS | coinvariant algebra | symmetric function
Journal Article
Complex Variables and Elliptic Equations, ISSN 1747-6933, 06/2019, Volume 64, Issue 6, pp. 965 - 978
... nicely in dimension 1, but this property fails in higher dimensions.Fortunately, C. Fefferman [3] introduced a new measure on the boundary of a domain in that does... 
Szegő kernel | H. Boas | Fefferman-Szegő | representative coordinates | invariant metric | Fefferman–Szegő | MATHEMATICS | PROJECTION | PSEUDOCONVEX DOMAINS | BERGMAN-KERNEL | Fefferman-Szego | BIHOLOMORPHIC-MAPPINGS | Szego kernel | AUTOMORPHISMS | BOUNDARY | Kernels | Coordinates
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 03/2020, Volume 278, Issue 4, p. 108341
Journal Article
Language in society, ISSN 0047-4045, 02/2019, Volume 48, Issue 1, pp. 1 - 30
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 01/2019, Volume 276, Issue 2, pp. 636 - 657
... is a domain with minimally smooth boundary and finite Lebesgue measure, k,n∈N, k Rearrangement-invariant Banach function spaces | Hardy-type operators | Embeddings | Sobolev-type and Hölder-type spaces
Journal Article
Inventiones mathematicae, ISSN 0020-9910, 9/2019, Volume 217, Issue 3, pp. 887 - 984
We construct group-theoretical generalizations of the Hasse invariant on strata closures of the stacks $$\mathop {G\hbox {-}{} \mathtt{Zip}}\nolimits ^{\mu }$$... 
Mathematics, general | Mathematics | MATHEMATICS | LIMITS | NEWTON STRATA | COHOMOLOGY | SHIMURA-VARIETIES | DISCRETE-SERIES | SIEGEL MODULAR-FORMS | MOD-P | EKEDAHL-OORT | COMPACTIFICATIONS | PEL-TYPE | Algebra | Strata | Group theory | Homology | Flags | Representations | Closures | Invariants
Journal Article
Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 01/2020, Volume 37, Issue 1, pp. 105 - 144
Sobolev embeddings, of arbitrary order, are considered into function spaces on domains of Rn endowed with measures whose decay on balls is dominated by a power d of their radius... 
Ahlfors regular measures | Lorentz spaces | Frostman measures | Sobolev inequalities | Rearrangement-invariant spaces | MATHEMATICS, APPLIED | INEQUALITIES | MODULUS | INTERPOLATION | SYMMETRY | HOLDER | THEOREMS | COMPACTNESS | OPERATORS | Mathematics - Functional Analysis
Journal Article
Optics and Spectroscopy, ISSN 0030-400X, 3/2019, Volume 126, Issue 3, pp. 245 - 256
Using the method of two-point generalized Mueller matrices and the phase screen approximation, we have studied the relationship between the shape of the... 
Physics | Optics, Lasers, Photonics, Optical Devices | ELECTROMAGNETIC BEAMS | FILMS | OPTICS | SPECTROSCOPY | NEMATIC LIQUID-CRYSTALS | COHERENCE | Numerical analysis
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 05/2019, Volume 60, Issue 5, p. 52702
This article explores the long-time behavior of the bounded orbits associated with an ensemble of initial conditions in a nondegenerate integrable Hamiltonian... 
PHYSICS, MATHEMATICAL | Toruses | Statistical analysis | Initial conditions | Residential density | Orbits | Statistical mechanics | Hamiltonian functions | Density | Nonlinear systems | Equilibrium | Invariants | Convergence
Journal Article
Acta Mathematica Sinica, English Series, ISSN 1439-8516, 10/2019, Volume 35, Issue 10, pp. 1723 - 1728
We show that if a bounded domain Ω is exhausted by a bounded strictly pseudoconvex domain D with C 2 boundary, then Ω... 
exhausting domain | Fridman’s invariant | Mathematics, general | Mathematics | 32H02 | Squeezing function | MATHEMATICS | MATHEMATICS, APPLIED | PSEUDOCONVEX DOMAINS | BEHAVIOR | MODULI SPACE | Fridman's invariant | CANONICAL METRICS | GEOMETRY | Exhausting | Domains | Equivalence | Mathematical analysis | Invariants
Journal Article
PLOS ONE, ISSN 1932-6203, 09/2019, Volume 14, Issue 9, p. e0223025
Clostridium difficile (Cd) infection (CDI) typically occurs after antibiotic usage perturbs the gut microbiota. Mucosa-associated invariant T cells (MAIT) are... 
INVARIANT T-CELLS | MAIT CELLS | COLITIS | MULTIDISCIPLINARY SCIENCES | MOUSE MODEL | TRANSPLANTATION | Humans | Cefoperazone - adverse effects | Clostridium Infections - etiology | Disease Resistance - immunology | Cefoperazone - administration & dosage | Mucosal-Associated Invariant T Cells - immunology | Intestinal Mucosa - cytology | Feces - microbiology | Clostridium Infections - microbiology | Intestinal Mucosa - immunology | Minor Histocompatibility Antigens - genetics | Anti-Bacterial Agents - adverse effects | Clostridium Infections - therapy | Disease Resistance - genetics | Minor Histocompatibility Antigens - immunology | Disease Models, Animal | Specific Pathogen-Free Organisms | Histocompatibility Antigens Class I - immunology | Histocompatibility Antigens Class I - genetics | Intestinal Mucosa - microbiology | Fecal Microbiota Transplantation | Mice, Knockout | Clostridium Infections - immunology | Animals | Gastrointestinal Microbiome - drug effects | Mice | Gastrointestinal Microbiome - immunology | Anti-Bacterial Agents - administration & dosage | Infection | Drug resistance in microorganisms | Microbiota (Symbiotic organisms) | T cells | Health aspects | Pathogens | Cadmium | rRNA 16S | Laboratories | Mucosa | Microbiomes | Cytotoxicity | Infections | Transplantation | Lymphocytes T | Spores | Gene sequencing | Inflammatory bowel disease | Microbiota | Microorganisms | Immunology | Major histocompatibility complex | Antibiotics | Metabolites | Lymphocytes | Impact resistance | Bacteria | Colonization | Food | Histocompatibility
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2019, Volume 371, Issue 5, pp. 3375 - 3395
The higher spin Laplace operator has been constructed recently as the generalization of the Laplacian in higher spin theory. This acts on functions taking... 
Rarita-Schwinger operators | Borel-Pompeiu type formula | MATHEMATICS | Stokes' theorem | CLIFFORD | higher spin Laplace operator | Green type integral formula | conformally invariant | EQUATIONS | Knapp-Stein intertwining operator
Journal Article