1.
Spectral geometry of the Laplacian

: spectral analysis and differential geometry of the Laplacian

2017, ISBN 9789813109087, xii, 297 pages

Book

2015, Graduate studies in mathematics, ISBN 9780821851982, Volume 161, xii, 363

Tropical geometry is a combinatorial shadow of algebraic geometry, offering new polyhedral tools to compute invariants of algebraic varieties...

Tropical geometry | Study and teaching (Graduate) | Geometry, Algebraic

Tropical geometry | Study and teaching (Graduate) | Geometry, Algebraic

Book

2017, ISBN 9814635367, xi, 257 pages

Book

2014, Mathematical surveys and monographs, ISBN 9781470414566, Volume 196, xx, 594

Convex geometry | Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Normed linear spaces and Banach spaces; Banach lattices | Probability theory and stochastic processes -- Geometric probability and stochastic geometry -- Geometric probability and stochastic geometry | Banach lattices | Measure and integration -- Classical measure theory -- Classical measure theory | Convex and discrete geometry -- General convexity -- General convexity

Book

2015, Mathematical surveys and monographs, ISBN 9781470421939, Volume 202, v.

Book

2011, Mathematical surveys and monographs, ISBN 9780821849118, Volume no. 173., xii, 362

Book

1983, Lecture notes in mathematics, ISBN 3540127194, Volume 1022., vi, 177

Book

2016, ISBN 9781470427245, xiv, 352 pages

Book

1979, Undergraduate texts in mathematics., ISBN 0387903402, xxi, 534

Book

Journal of multivariate analysis, ISSN 0047-259X, 2019, Volume 172, pp. 162 - 179

The space of discrete copulas admits a representation as a convex polytope, and this has been exploited in entropy-copula methods used in hydrology and...

Transportation polytope | Convex optimization | Alternating sign matrix polytope | Negative dependence | Stochastic decreasingness | Discrete (quasi-) copulas | Maximum entropy | Hydrology

Transportation polytope | Convex optimization | Alternating sign matrix polytope | Negative dependence | Stochastic decreasingness | Discrete (quasi-) copulas | Maximum entropy | Hydrology

Journal Article

The Journal of geometric analysis, ISSN 1559-002X, 2017, Volume 28, Issue 4, pp. 3196 - 3222

We study the geometry of m-regular domains within the Caffarelli–Nirenberg–Spruck model in terms of barrier functions, envelopes, exhaustion functions, and Jensen measures...

m -subharmonic function | Caffarelli–Nirenberg–Spruck model | Barrier function | Secondary 31B25 | Mathematics | 32F17 | 46A20 | Primary 31C45 | Abstract Harmonic Analysis | 32T35 | 46J10 | Fourier Analysis | 32U10 | Jensen measure | Exhaustion function | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | 32U05 | m-subharmonic function | DEFINITION | PSEUDOCONVEX DOMAINS | LELONG NUMBER | APPROXIMATION | CONVEXITY | PLURISUBHARMONIC-FUNCTIONS | INEQUALITY | POTENTIAL-THEORY | BOUNDARY-VALUES | Caffarelli-Nirenberg-Spruck model | MATHEMATICS | JENSEN MEASURES

m -subharmonic function | Caffarelli–Nirenberg–Spruck model | Barrier function | Secondary 31B25 | Mathematics | 32F17 | 46A20 | Primary 31C45 | Abstract Harmonic Analysis | 32T35 | 46J10 | Fourier Analysis | 32U10 | Jensen measure | Exhaustion function | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | 32U05 | m-subharmonic function | DEFINITION | PSEUDOCONVEX DOMAINS | LELONG NUMBER | APPROXIMATION | CONVEXITY | PLURISUBHARMONIC-FUNCTIONS | INEQUALITY | POTENTIAL-THEORY | BOUNDARY-VALUES | Caffarelli-Nirenberg-Spruck model | MATHEMATICS | JENSEN MEASURES

Journal Article

The Journal of Geometric Analysis, ISSN 1050-6926, 7/2018, Volume 28, Issue 3, pp. 2395 - 2421

In this paper we study the smallest non-zero eigenvalue $$\lambda _1$$
λ1
of the Laplacian on toric Kähler manifolds. We find an explicit upper bound for...

Spectral geometry | 53C55 | 14M25 | 58J50 | Kahler geometry | Mathematics | 53C25 | Abstract Harmonic Analysis | Riemannian geometry | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Toric geometry | Differential Geometry | Dynamical Systems and Ergodic Theory | LAPLACIAN | MATHEMATICS | ORBIFOLDS | BUNDLES | KAHLER-METRICS | VARIETIES | GEOMETRY | Metric Geometry | Symplectic Geometry

Spectral geometry | 53C55 | 14M25 | 58J50 | Kahler geometry | Mathematics | 53C25 | Abstract Harmonic Analysis | Riemannian geometry | Fourier Analysis | Convex and Discrete Geometry | Global Analysis and Analysis on Manifolds | Toric geometry | Differential Geometry | Dynamical Systems and Ergodic Theory | LAPLACIAN | MATHEMATICS | ORBIFOLDS | BUNDLES | KAHLER-METRICS | VARIETIES | GEOMETRY | Metric Geometry | Symplectic Geometry

Journal Article

Oberwolfach Reports, ISSN 1660-8933, 2017, Volume 14, Issue 2, pp. 1135 - 1205

A number of important recent developments in various branches of discrete geometry were presented at the workshop...

Convex and discrete geometry

Convex and discrete geometry

Journal Article

IEEE Transactions on Power Systems, ISSN 0885-8950, 05/2013, Volume 28, Issue 2, pp. 788 - 797

We investigate the constraints on power flow in networks and its implications to the optimal power flow problem. The constraints are described by the injection...

Reactive power | Power transmission lines | Transmission line matrix methods | Network topology | Optimal power flow | Cost function | power distribution system | power system control | Load flow | Power distribution system | Power system control | CONVEXITY | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Usage | Innovations | Voltage | Electric power systems | Convex programming | Mathematical optimization | Electric power distribution | Trees | Networks | Electric potential | Buses | Hulls (structures) | Hulls | Optimization

Reactive power | Power transmission lines | Transmission line matrix methods | Network topology | Optimal power flow | Cost function | power distribution system | power system control | Load flow | Power distribution system | Power system control | CONVEXITY | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Usage | Innovations | Voltage | Electric power systems | Convex programming | Mathematical optimization | Electric power distribution | Trees | Networks | Electric potential | Buses | Hulls (structures) | Hulls | Optimization

Journal Article

1997, Series on university mathematics, ISBN 981023158X, Volume 8, x, 284

Book

2017, Mathematical surveys and monographs, ISBN 9781470434687, Volume no. 223., xxi, 414 pages

Book

2018, ISBN 3319741349, 356

Presented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry...

Mathematics | History of Mathematical Sciences | Hyperbolic Geometry | Projective Geometry | Convex and Discrete Geometry

Mathematics | History of Mathematical Sciences | Hyperbolic Geometry | Projective Geometry | Convex and Discrete Geometry

eBook

Journal of the European Mathematical Society : JEMS, ISSN 1435-9855, 2013, Volume 15, Issue 6, pp. 2297 - 2352

An investigation is launched into the fundamental characteristics of operations on and between sets, with a focus on compact convex sets and star sets (compact...

Difference and functional equations | Convex and discrete geometry | Symmetrization | Associativity equation | Star set | Central symmetral | Projection | Polynomial volume | Radial addition | Brunn-Minkowski theory | Compact convex set | Difference body | Minkowski addition | M-addition | addition | polynomial volume | MATHEMATICS, APPLIED | star set | radial addition | CONVEX-BODIES | DUAL MIXED VOLUMES | difference body | P SOBOLEV INEQUALITIES | L-p addition | AFFINE ISOPERIMETRIC-INEQUALITIES | STAR BODIES | MATHEMATICS | central symmetral | associativity equation | symmetrization | projection | BUSEMANN-PETTY PROBLEM

Difference and functional equations | Convex and discrete geometry | Symmetrization | Associativity equation | Star set | Central symmetral | Projection | Polynomial volume | Radial addition | Brunn-Minkowski theory | Compact convex set | Difference body | Minkowski addition | M-addition | addition | polynomial volume | MATHEMATICS, APPLIED | star set | radial addition | CONVEX-BODIES | DUAL MIXED VOLUMES | difference body | P SOBOLEV INEQUALITIES | L-p addition | AFFINE ISOPERIMETRIC-INEQUALITIES | STAR BODIES | MATHEMATICS | central symmetral | associativity equation | symmetrization | projection | BUSEMANN-PETTY PROBLEM

Journal Article

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