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Journal of Functional Analysis, ISSN 0022-1236, 06/2018, Volume 274, Issue 11, pp. 3056 - 3089
.... Our main results are that when curvature is non-negative, but not necessarily positive, the spectral gap, the Cheeger isoperimetric constant and the modified logarithmic Sobolev constant of the chain... 
Discrete Ricci curvature | Functional inequalities | Spectral gap | Zero range process | METRIC-MEASURE-SPACES | TRANSPORTATION | CONVEXITY | 1ST EIGENVALUE | CONSTANT | GRAPHS | MATHEMATICS | BOUNDS | MANIFOLD | ENTROPY
Journal Article
Annali di matematica pura ed applicata, ISSN 1618-1891, 2015, Volume 195, Issue 2, pp. 459 - 471
Journal Article
Geometriae Dedicata, ISSN 0046-5755, 4/2016, Volume 181, Issue 1, pp. 83 - 102
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 04/2014, Volume 16, Issue 2, pp. 1350043 - 1-1350043-24
Journal Article
Physical Review Letters, ISSN 0031-9007, 02/2016, Volume 116, Issue 5, p. 056102
...) is readily measured for a flat liquid-vapor interface. For interfaces with a small radius of curvature R, the surface tension might differ from sigma(infinity... 
PRESSURE | PHYSICS, MULTIDISCIPLINARY | NUCLEUS | HOMOGENEOUS NUCLEATION RATES | LENGTH | SIZE | CHAMBER | CONDENSATION | SYSTEMS | FREE-ENERGY | WATER | Models, Theoretical | Gases - chemistry | Surface Tension | Nucleation | Approximation | Mathematical analysis | Liquid-vapor interfaces | Constants | Surface tension | Mathematical models | Droplets | Physics - Chemical Physics | Engineering Sciences | Chemical Sciences | Physics
Journal Article
International Journal of Mathematics, ISSN 0129-167X, 08/2012, Volume 23, Issue 8, pp. 1250084 - 1250014
In this paper, we prove a structure theorem for projectively flat Finsler metrics of negative constant flag curvature... 
Finsler metric | Projectively flat | Constant flag curvature | MATHEMATICS | constant flag curvature | RANDERS METRICS | projectively flat | Construction | Theorems | Flags | Mathematical analysis | Curvature
Journal Article
Nature materials, ISSN 1476-4660, 2016, Volume 15, Issue 5, pp. 583 - 588
... optimization algorithms can be used to determine spatially modulated patterns that yield approximations to given surfaces of constant or varying curvature... 
CHEMISTRY, PHYSICAL | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | MATERIALS SCIENCE, MULTIDISCIPLINARY | GEOMETRY | Constraints | Algorithms | Mathematical analysis | Flats | Programming | Constants | Curvature | Sheets
Journal Article
Advances in mathematical physics, ISSN 1687-9120, 12/2014, Volume 2014, pp. 1 - 6
.... We prove that S is a simply connected manifold with constant negative curvature K=-2. However, it is not isometric to the hyperbolic space because S is... 
PHYSICS, MATHEMATICAL | Manifolds | Divergence | Planes | Mathematical analysis | Constants | Fields (mathematics) | Curvature
Journal Article
Publicacions Matemàtiques, ISSN 0214-1493, 1/2009, Volume 53, Issue 1, pp. 83 - 110
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2005, Volume 224, Issue 1, pp. 230 - 241
This article is devoted to show that complete non-compact Riemannian manifolds with non-negative Ricci curvature of dimension greater than or equal to two in which some... 
Open manifolds | Non-negative Ricci curvature | Gagliardo–Nirenberg inequalities | Gagliardo-Nirenberg inequalities | non-negative Ricci curvature | TOPOLOGY | MATHEMATICS | LARGE-VOLUME GROWTH | open manifolds | SHARP CONSTANTS | SOBOLEV
Journal Article
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 12/2015, Volume 92, Issue 12
In this work we investigate the entropic information measure in the context of braneworlds with nonconstant curvature... 
COSMOLOGICAL CONSTANT | ASTRONOMY & ASTROPHYSICS | KINKS | ENTROPIC MEASURE | SUPERNOVAE | GRAVITY | PHYSICS, PARTICLES & FIELDS | Cosmological constant | Gravitation | Mathematical analysis | Cosmology | Scalars | Curvature | Standards | Branes
Journal Article
Advances in Mathematics, ISSN 0001-8708, 02/2017, Volume 307, pp. 1070 - 1107
Journal Article
Annals of global analysis and geometry, ISSN 1572-9060, 2019, Volume 56, Issue 1, pp. 57 - 86
Journal Article
Advances in Mathematics, ISSN 0001-8708, 09/2018, Volume 335, pp. 809 - 837
Given a closed flat 3-torus N, for each H>0 and each non-negative integer g, we obtain area estimates for closed surfaces with genus g and constant mean curvature H embedded in N... 
Curvature estimates | Area estimates | H-lamination | Minimal surface | Injectivity radius | Constant mean curvature | EXISTENCE | MINIMAL-SURFACES | H-SURFACES | GENUS | UNIQUENESS | EMBEDDED SURFACES | MATHEMATICS
Journal Article
Advances in Mathematics, ISSN 0001-8708, 12/2017, Volume 322, pp. 861 - 891
Journal Article
The European physical journal. C, Particles and fields, ISSN 1434-6052, 2019, Volume 79, Issue 3, pp. 1 - 34
Journal Article